We develop a mathematical theory to explain the mechanism of super-resolution in resonant media which consists of sub-wavelength resonators. Examples includes: Helmholtz resonators, plasmonic particles, and bubbles. For the media consists of small finite number of resonators, we show that super-resolution is due to sub-wavelength propagating mod...
Creator:
Zhang, Hai (Hong Kong University of Science and Technology)
Created:
2017-02-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk presents a Maple/Matlab toolbox for basic polynomial computations with exact or approximate data. The toolbox includes software for computing the approximate GCD, approximate factorization, dual basis and multiplicity identification, as well as numerical elimination in solving polynomial systems. We shall present the underlying theory ...
To achieve personalized medicine, an individualized treatment strategy assigning treatment based on an individual's characteristics that leads to the largest benefit can be considered. Recently, a machine learning approach, O-learning, has been proposed to estimate an optimal individualized treatment rule (ITR), but it is developed to make binar...
Creator:
Zeng, Donglin (University of North Carolina, Chapel Hill)
Created:
2018-11-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Invariant manifolds and foliations have become very useful tools in dynamical systems. For infinite dimensional systems generated by evolutionary PDEs, the mere existence of these structures is non-trivial compared to those of ODEs due to issues such as the non-existence of backward (in time) solutions of some PDEs or nonlinear terms causing der...
Creator:
Zeng, Chongchun (Georgia Institute of Technology)
Created:
2012-09-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will discuss classical and new results on the existence or non-existence of inertial manifolds (IMs) for semilinear parabolic equation. In particular, we report on the existence of IMs for the 1D reaction-diffusion-advection systems with Dirichlet or Neumann boundary conditions and give the counterexamples for the case of periodic boundary co...
Creator:
Zelik, Sergey (University of Surrey)
Created:
2016-06-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will describe recent results (obtained jointly with A. Guionnet P. Wood) concerning perturbations of non-normal random matrices and their stabilization by additive noise. This builds on techniques introduced earlier inthe context of the 'single ring theorem', by Guionnet, Krishnapur, and the speaker.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This series will highlight the main steps in the approach to universality based on dynamics and comparisons of Green functions. The emphasis will be on the basic steps, not on sharpest results.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2012-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The long, rich history of topology in mathematics has provenextremely useful for the study of DNA. DNA, the geneticblueprint for life, undergoes tremendous flux as it ispackaged, replicated, segregated, transcribed, recombined andrepaired. Extremely long and skinny, DNA is prone toentanglement. Every time it is copied, the two resulting'daughter...
Creator:
Zechiedrich, Lynn (Baylor College of Medicine)
Created:
2010-04-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will be about the non-backtracking matrix of a graph. I will review recent works on its spectral properties for random graphs and concentrate on its algorithmic applications. Notably I will talk about optimality of the corresponding spectral algorithm for clustering of sparse networks and for analysis of percolation on sparse networks....
Creator:
Zdeborova, Lenka (Centre National de la Recherche Scientifique (CNRS))
Created:
2015-05-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Energy networks are becoming increasingly decentralized and exhibit new forms of coupling. For instance, during the polar vortex of 2014, sustained low temperatures in the Midwest region of the U.S. resulted in unusually high gas demands from buildings in urban areas. This led to shortages of natural gas that propagated to California, Massachuse...
Creator:
Zavala, Victor M. (University of Wisconsin, Madison)
Created:
2016-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We review applications and algorithmic challenges of Gaussian Process (GP) modeling. GP is a powerful and flexible uncertainty quantification and data analysis technique that enables the construction of complex models without the need to specify algebraic relationships between variables. This is done by working directly in the space of the kerne...
Creator:
Zavala, Victor M. (Argonne National Laboratory)
Created:
2013-06-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cartographic Details: Scale not given (E 25°--W 165°/N 78°--S 10°). Relief shown pictorially."Questa carta eá un poá differente dalle precedenti per l'ultime scoperte al N.E. dell' Asia e nell' Oceano Pacifico. Essendo il Mar Caspio descritto con molto divario nell' altre carte; per istabilirne l'esata posizione ci siamo serviti del Passaggio ...
Creator:
Zatta, Antonio, active 1757-1797
Created:
1777
Contributed By:
University of Minnesota Libraries, John R. Borchert Map Library.
Most supervised machine learning algorithms assume that each training data point is paired with an accurate training label (for classification) or value (for regression). However, obtaining accurate training label information is often time consuming and expensive, making it infeasible for large data sets, or may simply be impossible to provide g...
Creator:
Zare, Alina (University of Florida)
Created:
2018-10-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The first generation of theories and computer simulations of liquid crystals have made drastic and often contrasting assumptions on the model representation of constituent mesogens and on the type of intermolecular interactions (e.g purely attractive in Maier-Saupe type and purely hard repulsions in Onsager models). Computer simulations of liqui...
Creator:
Zannoni, Claudio (Universita Di Bologna)
Created:
2018-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Predicting realistic morphologies and molecular organizations from chemical structure is far from easy and indeed has only recently proved doable by atomistic molecular dynamics. The issue is further complicated in thin films, where the material is strongly affected by surface interactions, even if obtaining information on alignment and anchorin...
Creator:
Zannoni, Claudio (Universita Di Bologna)
Created:
2018-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The ocean contains a vigorous mesoscale eddy field with spatial scales of approximately 10 to 100km, evolving over time scales from weeks to months. These eddies are important in establishing the ocean's circulation and tracer properties. Grid spacing of roughly 10 km and smaller are necessary to properly simulate the eddy field, therefore ocean...
Creator:
Zanna, Laure (University of Oxford)
Created:
2013-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Branwen Zakariasen is a white trans woman originally from Texas who later spent time in Minneapolis and Portland. At the time of this interview, she was working as a customer support specialist. In this oral history Zakariasen discusses naming, healing from trauma and abuse, taking up labels, family relationships, sexism, and the video game indu...
Creator:
Zakariasen, Brawen
Contributor:
Jenkins, Andrea (Interviewer)
Created:
2017-03-21
Contributed By:
University of Minnesota Libraries, Jean-Nickolaus Tretter Collection in Gay, Lesbian, Bisexual and Transgender Studies.
Consider the system of annihilating Brownian motions (ABM's) on the real lineunder the maximal entrance law. It turns out that the law of particles' positions at a given time is a Pfaffian point process equivalent to the law of real eigenvalues for the real Ginibre ensemble. Moreover, multi-time intensities for the system of ABM's are an extende...
Creator:
Zaboronski, Oleg V (University of Warwick)
Created:
2013-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Predictive modeling of physical processes in heterogeneous media requires innovations in mathematical and computational thinking. While multiscale approaches have been successful in modeling the effects of fine scales to macroscopic response, a significant grant challenge remains in understanding the effects of topological uncertainties in chara...
Creator:
Zabaras, Nicholas J. (Cornell University)
Created:
2013-12-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
