This talk is focused on recent developments within the field of topoly optimization, e.g. optimal material distribution. The main focus concerns the current state-of-the-art, which is that large structural systems has until now been dealing mainly with the design of individual parts - and not with complete assemblies or structures. In this talk ...

Creator:

Aage, Niels (Technical University of Denmark)

Created:

2016-06-08

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Wave propagation in optical lattices with honeycomb background, termed Photonic Graphene, is investigated. A tight binding approximation leads to a coupled mode system. In bulk media a nonlinear Dirac type system is obtained which describes conical, elliptical and straight-line diffraction. With rapidly varying helical waveguides linear and nonl...

Creator:

Ablowitz, Mark J. (University of Colorado)

Created:

2016-10-31

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

There is a long story of the role nonlinearity plays in optics and photonics. From the early experiments in second harmonic generation to the demonstration of optical solitons in fiber optics, the field continues to evolve in several directions. Rather than presenting well developed ideas, in this seminar I will attempt to provide examples mostl...

Mean field type models describing the limiting behavior of stochastic differential game problems as the number of players tends to infinity, have been recently introduced by J-M. Lasry and P-L. Lions. They may lead to systems of evolutive partial differential equations coupling a forward Bellman equation and a backward Fokker-Planck equation. Th...

Creator:

Achdou, Yves (Université de Paris VII (Denis Diderot))

Created:

2012-11-12

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

At the heart of every local search procedure is a directed graph on candidate solutions (states) such that every unsatisfying state has at least one outgoing arc. In randomized local search the hope is that a random walk on the graph reaches a satisfying state (sink) quickly. We give a general algorithmic local lemma by establishing a sufficient...

Creator:

Achlioptas, Dimitris (University of California, Santa Cruz)

Created:

2015-05-22

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Moderator: Ming Hu, University of Toronto Yoni Acriche (eBay), Jakub Marecek (IBM), Ramesh Johari (Stanford University), Karan Girotra (INSEAD), David Shmoys (Cornell University)

Creator:

Acriche, Yoni (eBay); Girotra, Karan (INSEAD); Hu, Ming (Moderator, University of Toronto); Johari, Ramesh (Stanford University); Marecek, Jakub (IBM Research Division); Shmoys, David B. (Cornell University)

Created:

2017-07-25

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

I will discuss results by R. Latala concerning tail behaviour of multivariate polynomials in independent Gaussian variables and show how when combined withclassical functional inequalities they give estimates for polynomials and more generally smooth functions with bounded derivatives of higher order for a more general class of non-necessarily p...

Creator:

Adamczak, Radoslaw (University of Warsaw)

Created:

2012-06-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The Gromov-Hausdorff distance between two metric spaces is an important tool in geometry, but it is difficult to compute. For example, the Gromov-Hausdorff distance between unit spheres of different dimensions is unknown in nearly all cases. I will introduce recent work by Lim, Mémoli, and Smith that finds the exact Gromov-Hausdorff distances be...

Creator:

Adams, Henry (Colorado State University)

Created:

2022-08-04

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Suppose ball-shaped sensors wander in a bounded domain. A sensor doesn't know its location but does know when it overlaps a nearby sensor. We say that an evasion path exists in this sensor network if a moving intruder can avoid detection. Vin de Silva and Robert Ghrist give a necessary condition, depending only on the time-varying connectivity d...

Creator:

Adams, Henry (University of Minnesota, Twin Cities)

Created:

2014-03-05

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Consider a Vietoris-Rips complex of the circle with the geodesic metric. This simplicial complex has an infinite number of vertices, one for each point in the circle. A theorem of Jean-Claude Hausmann implies that for small connectivity parameter, the Vietoris-Rips complex is homotopy equivalent to a circle. What happens as the connectivity para...

Creator:

Adams, Henry (University of Minnesota, Twin Cities)

Created:

2014-05-06

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Consider the Vietoris-Rips complex for n evenly-spaced points around a circle. For small choices of the connectivity parameter, this complex is homotopy equivalent to a circle. For n even and for a connectivity parameter slightly less than the diameter of the circle, this complex is the boundary of a cross-polytope and is homeomorphic to the (n/...

Creator:

Adams, Henry (University of Minnesota, Twin Cities)

Created:

2013-10-01

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The theory and practice of topological data analysis (TDA) over the past decade has been dominated by the notion and application of persistent homology. Given a representation of the persistent homology of a filtered structure, it is easy to compute the Euler characteristic curve (ECC) which gives the value of the Euler characteristic of the str...

Creator:

Adler, Robert

Created:

2013-10-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

My first working assumption for this tutorial will be that the participants know something about persistent homology (PH). In particular, they know that PH is associated with filtrations, the two most common being the filtrations of upper or lower level sets of smooth functions and filtrations arising from building simplicial (Rips, Cech) comple...

Creator:

Adler, Robert (Technion-Israel Institute of Technology)

Created:

2013-10-03

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We revisit the theory by Eggers [Phys. Rev. Lett., vol. 93, pp 094502, 2004] of the critical capillary number forthe Landau-Levich-Derjaguin forced dewetting transition. We generalize this prediction to large contact angles and arbitrary viscosity ratios and express the critical capillary number as a function of the imposed contact angle in the ...

Creator:

Afkhami, Shahriar (New Jersey Institute of Technology)

Created:

2018-03-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The contextual bandit problem is a classic example of the statistical tradeoff between exploration and exploitation. Upon taking an action, a learner only observes the reward of that action, while no feedback on the other possible actions is received. In additional to the natural information tradeoff between experimenting with unknown actions an...

Creator:

Agarwal, Alekh (Microsoft Research)

Created:

2016-05-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Modern online marketplaces feed themselves. They rely on historical data to optimize content and user-interactions, but further, the data generated from these interactions is fed back into the system and used to optimize future interactions. As this cycle continues, good performance requires algorithms capable of learning actively through sequen...

Creator:

Agrawal, Shipra (Columbia University)

Created:

2018-12-06

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Multistage stochastic programming (MSP) is a framework for sequential decision making under uncertainty where the decision space is typically high dimensional and involves complicated constraints, and the uncertainty is modeled by a general stochastic process. In the traditional risk neutral setting, the goal is to find a sequence of decisions o...

Creator:

Ahmed, Shabbir (Georgia Institute of Technology)

Created:

2016-08-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In an influential article, Marfurt suggested that the best scheme for computational wave propagation would involve an averaging of the consistent and lumped finite element approximations. Many authors have considered how this might be accomplished for first order approximation, but the case of higher orders remained unsolved. We describe recent ...

Creator:

Ainsworth, Mark (University of Strathclyde)

Created:

2010-12-02

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

A common task in many data-driven applications is to find a low dimensional manifold that describes the data accurately. Estimating a manifold from noisy samples has proven to be a challenging task. Indeed, even after decades of research, there is no (computationally tractable) algorithm that accurately estimates a manifold from noisy samples wi...

Creator:

Aizenbud, Yariv (Yale University)

Created:

2021-11-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Studies of sessile droplets provide a natural framework for modeling dynamic contact lines. We present several recent results on droplet behavior on heated substrates under the conditions when the effects of both wetting and evaporation are important. For liquids which are aqueous solutions, we investigate how the formation of electrical double ...

Creator:

Ajaev, Vladimir (Southern Methodist University)

Created:

2018-03-27

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

High-quality entangled-photon pairs are one of key resources for quantum computing and quantum information technologies. Since the observation of entangled photon generation via a biexciton from a CuCl bulk crystal, entangled photon generation mediated by the biexciton has been extensively studied. Recently, the biexciton of a CuCl thin film in ...

Creator:

Ajiki, Hiroshi (Tokyo Denki University)

Created:

2017-04-24

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In many practical situations encountered in industries, there is incomplete knowledge of material properties, boundary conditions, and sources for a given material/manufacturing process. However, process monitors such as thermocouples are typically used to measure temperature evolution in certain locations to bridge the resulting gaps. Spatial g...

Creator:

Akarapu, Ravindra (Corning Incorporated)

Created:

2015-08-05

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Akman, Olcay (Illinois State University); Elaydi, Saber (Trinity University); Knisley, Jeff Randall (East Tennessee State University); Marland, Eric (Appalachian State University); Pearson, Michael (Mathematical Association of America (MAA)); Zieffler, Andrew (University of Minnesota, Twin Cities)

Created:

2010-07-02

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We consider two problems related to the propulsion offlexible surfaces in vortex wakes.First, we present a simple model of a trout swimming in a cylinderwake, which saves energy by slaloming through a vortexstreet. We find analytic solutionsand compare with previous experiments and numerics.Second, we study 'inverted drafting' in flags, in which...

Creator:

Alben, Silas (Georgia Institute of Technology)

Created:

2010-06-05

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Most infections are the result of a surface-attached communityofbacteria that displays many unique characteristics. Ourunderstandingis still limited, however, with respect to how pathogens arecolonizing surfaces to begin infection. It is known that thearrivalof bacteria to host tissues is often aided by self-generatedmotilityof the organism.Path...

Creator:

Alber, Mark S. (University of Notre Dame)

Created:

2010-09-13

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Assessing disease risk with repeated biomarker measurements has important applications in the screening and early detection for many diseases. In obstetrics, interest is on assessing the risk of a poor pregnancy outcome (i.e., small for gestational age or preterm birth) from longitudinal imaging and biomarker data. We will begin by presenting si...

Creator:

Albert, Paul (National Cancer Institute)

Created:

2018-11-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Mutations or alterations in the expression of elements of cellular signaling networks can lead to incorrect behavioral decisions that could result in tumor development or the promotion of cell migration and metastasis. Thus, mitigation of the cascading effects of such dysregulations is an important control objective. My group at Penn State is co...

Creator:

Albert, Reka Zsuzsanna (The Pennsylvania State University)

Created:

2015-11-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Working at a national laboratory, such as one of the NASA research centers, offers many exciting research opportunities to a mathematician. Some disciplines are traditionally mathematically intensive, such as computational fluid dynamics, structural analysis, multidisciplinary design optimization, formal methods for algorithm verification, to na...

Creator:

Alexandrov, Natalia (NASA Langley Research Center)

Created:

2010-03-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

There are many open problems related to the reconstruction of an origin-symmetric convex body K in Rn from its lower dimensional information (areas of sections or projections, perimeters of sections or projections, length of cords, etc.)In this talk we will survey known results on the determination of a convex body from its central sections, par...

Creator:

Alfonseca-Cubero, Maria de los à ngeles (North Dakota State University)

Created:

2012-05-30

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

When searching for signals of new astrophysical phenomena, astrophysicists have to account for several sources of non-random uncertainties which can dramatically compromise the sensitivity of the experiment under study. Among these, model uncertainty arising from background mismodeling is particularly dangerous and can easily lead to highly misl...

Creator:

Algeri, Sara (University of Minnesota, Twin Cities)

Created:

2021-09-21

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Birefringence refers toa different index of refraction for orthogonal light polarizations ina transparent material. In stress-free glasses (which are isotropicand can be made homogeneous) the birefringence is zero by symmetry. When such a glass is subjected to stress, even by squeezing with yourfingers, stress-induced birefringence is readily ob...

Creator:

Allan, Douglas C. (Corning Incorporated)

Created:

2009-08-05

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk I shall describe two kinds of soft matter system in whichthe interfacial behaviour is of interest. Firstly, the adsorption ofpolymers and peptides on solid surfaces is of growing interest becauseof the possible applications in biotechnology. We have recently improveda Monte Carlo simulation method for studying lattice polymers near ...

Creator:

Allen, Michael Philip (University of Warwick)

Created:

2009-05-20

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this talk we consider the modeling and control of building systems represented as large and complex systems. First, we present a motivation for why we believe a centralized approach to optimal operation may not be the best approach. Then, we present an approach for clustering building zones so as to create a decentralized architecture that ba...

Creator:

Alleyne, Andrew G. (University of Illinois at Urbana-Champaign)

Created:

2013-06-13

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Molecular phylogenetics is concerned with inferring evolutionaryrelationships (phylogenetic trees) from biological sequences (such asaligned DNA sequences for a gene shared by a collection of species).The probabilistic models of sequence evolution that underly statisticalapproaches in this field exhibit a rich algebraic structure.After an introd...

Creator:

Allman, Elizabeth S. (University of Alaska)

Created:

2007-03-06

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

For a graph G, let bc(G) denote the minimum possible number of pairwiseedge disjoint complete bipartite subgraphs of G so that each edge of Gbelongs to (exactly) one of them. The study of this quantity and itsvariants received a considerable amount of attention and is relatedto problems in communication complexity and geometry. After a briefdisc...

Creator:

Alon, Noga (Tel Aviv University)

Created:

2014-09-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Tools from Extremal Graph Theory are helpful in the study of problemsin Additive Number Theory, Theoretical Computer Science, and InformationTheory. I will illustrate this fact by several closely related examplesfocusing on a recent one in a joint work with Moitra and Sudakov.The main combinatorial question addressed, whose study was initiated b...

Creator:

Alon, Noga (Tel Aviv University)

Created:

2012-11-30

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Configuration spaces of disks in a region of the plane vary according to the radius of the disks, and their topological invariants such as homology also vary. Realizing a given homology class means coordinating the motion of several disks, and if there is not enough space for the disks to move, the homology class vanishes. We explore how cluster...

Creator:

Alpert, Hannah (Auburn University)

Created:

2022-08-01

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In NMR spectroscopy, the collective measurement is weakly invasive and its back-action is called radiation damping. The aim of this talk is to provide a control-theoretical analysis of the problem of suppressing this radiation damping. It is shown that the two feedback schemes commonly used in the NMR practice correspond one to a high gain oputp...

Creator:

Altafini, Claudio (International School for Advanced Studies (SISSA/ISAS))

Created:

2009-03-06

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

An overarching goal of the Langlands program is the principle of functoriality, first formulated in the famous 1967 letter from Langlands to Weil. It roughly states that if the L-groups of two (reductive) groups are related then so are their automorphic spectrum. It has many important consequences including the Ramanujan conjecture for GL(n) as ...

Creator:

Altug, Salim (Boston University)

Created:

2018-11-14

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

We provide an extension of the theory of flows in Euclidean spaces associated to wekly differentiablevelocity fields, replacing the Euclidean state space with the space of probability measure. This way, thecontinuity equation can be viewed as an ODE in the space of probability measures and we provide somewell-posedness and stability results. We ...

Creator:

Ambrosio, Luigi

Created:

2009-07-24

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Efficient handling of sparse data is a key challenge in Computer Science. Binary convolutions, such as the Fast Fourier Transform or theWalsh Transform are a useful tool in many applications and are efficiently solved.In the last decade, several problems required efficient solution of sparse binary convolutions.Both randomized and deterministic ...

Creator:

Amir, Amihood (Bar-Ilan University)

Created:

2012-02-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Capturing complex interactions among a large set of variables is achallenging task. Probabilistic graphical models decouple these interactions into two parts, viz., structural or qualitative relationships represented by a graph, and parametric or quantitative relationships represented by values assigned to different groups of nodes. Graph estima...

Creator:

Anandkumar, Anima (University of California, Irvine)

Created:

2012-03-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Particles imaged in cryo-electron microscopy (cryo-EM) often do not exist in a single molecular structure but exhibit significant structural variability. To determine the biological function of a particle, it is important to characterize this variability given noisy projection images, a task known as the heterogeneity problem in single-particle ...

Creator:

Anden, Joakim (Princeton University)

Created:

2016-11-29

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Cryogenic electron microscopy (cryo-EM) is an imaging method wherein a solution containing biological macromolecules is frozen in a thin layer of ice and imaged in a transmission electron microscope. The resulting tomographic projections are then assembled into density maps depicting the 3D structure of the molecule. While many molecules can be ...

Creator:

Anden, Joakim (Royal Institute of Technology

Created:

2021-02-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

One of the major targets for next-generation cosmic microwave background (CMB) experiments is the precision mapping of CMB distortions due to the gravitational lensing effect of dark matter. Estimating this lensing is important for two reasons. First, lensing probes the nature of dark matter fluctuations in the sky. Second, lensing estimates can...

Creator:

Anderes, Ethan (University of California, Davis)

Created:

2018-02-23

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Chemical reaction systems with a low to moderate number of molecules are typically modeled as continuous time Markov chains. More explicitly, the state of the system is modeled as a vector giving the number of molecules of each species present with each reaction modeled as a possible transition for the state. The model for the kth reaction is de...

Creator:

Anderson, David (University of Wisconsin, Madison)

Created:

2008-01-15

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The simplest stochastic models of biochemical processes treat the system as a continuous time Markov chain with the state being the number of molecules of each species and with reactions modeled as possible transitions of the chain. I will develop the relevant mathematical representations for the processes and then show how different computation...

Creator:

Anderson, David (University of Wisconsin, Madison)

Created:

2013-05-16

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The goals for the series of talks are as follows.1. To fill in background for and to state the result of Haagerup, Schultzand Thorbjornsen for polynomials in GUE matrices.2. To prove the result taking care to explain the most important 'tricks',e.g, the linearization trick.3. To discuss extensions and related results in the literature.4. To prov...

Creator:

Anderson, Greg W. (University of Minnesota, Twin Cities)

Created:

2012-06-18

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Data assimilation for a climate system model is the process of combining model forecasts with observations to produce improved estimates of the model state. Ensemble filter data assimilation algorithms attempt to provide a discrete sample of model state estimates that are consistent with observations and model constraints. A practical introducti...

Creator:

Anderson, Jeffrey L. (National Center for Atmospheric Research)

Created:

2013-03-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Though ubiquitous in our daily lives, crumpling is a challenging process to understand and predict: As a thin sheet is confined, stresses spontaneously localize to produce a complex network of vertices and ridges in the sheet. However, past studies have uncovered surprising mathematical order to the length of creases that form as a sheet is crum...

Creator:

Andrejevic, Jovana (Harvard University)

Created:

2021-05-04

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The Poisson and Martin Boundaries of a planar graph will be discussed, and shown to be equivalent to the geometric boundary when the planar embedding is sufficiently nice. Based on joint work with Barlow, Gurel-Gurevich and Nachmias.

Creator:

Angel, Omer (University of British Columbia)

Created:

2014-05-01

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Curves that evolve under Curve Shortening by a combination of rescaling and Euclidean motions are solutions to a system of ordinary differential equations on the unit tangent bundle of Rn.The flow, which has no fixed points, does admit an interesting Morse decomposition, especially after compactifying the phase space.In this talk I will present ...

Creator:

Angenent, Sigurd B. (University of Wisconsin, Madison)

Created:

2014-02-12

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

In this work we discuss an approach for uncertainty propagationthrough computationally expensive physics simulationcodes. Our approach incorporates gradient information informationto provide a higher quality surrogate with fewer simulationresults compared with derivative-free approaches.We use this information in two ways: we fit a polynomial or...

Creator:

Anitescu, Mihai (Argonne National Laboratory)

Created:

2011-06-02

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Abstract. We propose a statistical space-time model for predicting atmospheric wind speed based on deterministic numerical weather predictions and historical measurements. We consider a Gaussian multivariate space-time framework that combines multiple sources of past physical model outputs and measurements along with model predictions in order t...

Creator:

Anitescu, Mihai (Argonne National Laboratory)

Created:

2018-04-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The electrical power grid (the electricity transmission and distribution system) is one of the greatest and most complex engineering achievements of the 20th century. However, it is also at the center of massive changes in the way we create and consume energy that are brought about by many drivers, including an increasing usage of renewable ener...

Creator:

Anitescu, Mihai (Argonne National Laboratory)

Created:

2016-02-26

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Microfluidic devices are convenient for producing highly uniform droplets for precise emulsions and lab-on-a-chip devices. However, the minimum droplet size in a microfluidic process is determined by the smallest geometric feature size, typically on the order of tens of microns. Introducing additional physico-chemical effects can help overcome t...

Creator:

Anna, Shelley L. (Carnegie Mellon University)

Created:

2009-12-11

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Two major players in a smart grid are renewables and flexible consumption. The former is necessitated by global concerns of sustainability and greenhouse gas emissions, and dwindling resources of fossil fuels. The latter is enabled through the feasibility of fast and large-scale communication and the growing acceptance and economic potential of ...

Creator:

Annaswamy, Anuradha M. (Massachusetts Institute of Technology)

Created:

2016-05-12

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The convex cone of nÃ—n completely positive (CPP) matricesand its dual cone of copositive matrices arise in severalareas of applied mathematics, including optimization. EveryCPP matrix is doubly nonnegative (DNN), i.e., positivesemidefinite and component-wise nonnegative. Moreoverfor n less than 5, every DNN matrix is CPP. We investigate thediff...

Creator:

Anstreicher, Kurt M. (The University of Iowa)

Created:

2008-11-18

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The most accessible problems for the mechanics of deformable solid bodiesare those for thin bodies, namely, rods and shells, because theirequations respectively have but one and two independent spatial variables.There is a voluminous literature devoted to the derivations of various models for such bodiesundergoing small deformations. On the othe...

Creator:

Antman, Stuart S. (University of Maryland)

Created:

2011-05-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

1. Introduction and Motivation-What are Inverse problems?-Examples: detection of contaminant sources, image and voice recognition, medical imaging, subsurface imaging, materials identification2. Theoretical aspects of (discrete) inverse problems-Why are inverse problems (oftentimes) difficult to solve?-Well-posed and ill-posed problems: existenc...

Creator:

Aquino, Wilkins (Duke University)

Created:

2016-06-07

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

This talk has two parts. In the first part, we present a comprehensive study of the ergodic properties of a class of multidimensional piecewise Ornstein-Uhlenbeck processes with jumps, which contains the limit of the queueing processes arising in multiclass many-server queues with heavy-tailed arrivals and/or asymptotically negligible service in...

Creator:

Arapostathis, Aristotle (The University of Texas at Austin)

Created:

2018-05-17

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Currently, mankind extracts most of the fuel for the global economy from underground resources, including oil, gas, and uranium deposits. The byproducts of consuming this fuel enter the atmosphere or remain on the surface. After years of waste build-up, this practice is no longer tenable. Clean technologies that sharply reduce CO2 emissions and ...

Creator:

Arbogast, Todd (The University of Texas at Austin)

Created:

2011-04-12

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

What is autoregulation?Autoregulation is a biological process in which an internal adaptive mechanism works to adjust (or miti-gate) an animal's response to stimuli. For example, the autoregulation process results in the maintenance of blood flow to tissues at a certain level despite variations in blood pressure or metabolism. Autoregulation is ...

Creator:

Arciero (Sparks); Julia C. (Indiana University-Purdue University); Layton, Anita (Duke University)

Created:

2013-09-09

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

Topological Azumaya algebras are topological shadows of more complicated algebraic Azumaya algebras defined over, for example, schemes. Tensor product is a well-defined operation on topological Azumaya algebras. Hence given a topological Azumaya algebra $\mathcal{A}$ of degree $mn$, where $m$ and $n$ are positive integers, it is a natural questi...

Creator:

Arcila-Maya, Niny (Duke University)

Created:

2022-08-03

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

ATR Theory, especially the performance prediction aspects, are fundamentalto integrated sensing and processing. Offline and online prediction andfeedback are essential processing tools for assessing which sensing actionswill likely provide the most information. I'll discuss the overlap betweenActive Vision, ATR Theory, and ISP and highlight rele...

Creator:

Arnold, D. Gregory

Created:

2005-12-05

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

This talk will discuss a substantial interplay of algebraic topology with numerical analysis which has developed over the last decade. During this period, de Rham cohomology and the Hodge theory of Riemannian manifolds have come to play a crucial role in the development and understanding of computational algorithms for the solution of problems i...

Creator:

Arnold, Douglas N. (University of Minnesota, Twin Cities)

Created:

2013-10-28

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The puzzling and important phenonenon of wave localization arises in many physical and mathematical contexts, with applications range from the quantum mechanics of electrical conduction through the design of optical devices to the construction of noise abatement systems, to name but a few. Although studied by physicists and mathematicians for th...

Creator:

Arnold, Douglas N. (University of Minnesota, Twin Cities)

Created:

2017-03-08

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.

The finite element exterior calculus, FEEC, has provided aviewpoint from which to understand and develop stable finiteelement methods for a variety of problems. It has enabled us tounify, clarify, and refine many of the classical mixed finiteelement methods, and has enabled the development of previouslyelusive stable mixed finite elements for el...

Creator:

Arnold, Douglas N. (University of Minnesota, Twin Cities)

Created:

2010-11-01

Contributed By:

University of Minnesota, Institute for Mathematics and its Applications.