In this talk, we will discuss a variety of applications of persistent homology. We will begin with a quick overview of some of the classic examples of applications such as sensor networks and natural imagery. Then, we will explore a number of additional applications such as brain arteries, hyperspectral imagery, dynamical systems, and biological...
Creator:
Ziegelmeier, Lori (Macalester College)
Created:
2018-08-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Excitons are bound electron-hole pairs, i.e., atomic-H like Bosonic quasiparticles, that determine many optical and optoelectronic properties of solid materials. Exciton formation and dissociation play decisive roles in next generation solar cells. In a conventional p-n junction solar cell, the built-in potential separates the photoexcited elect...
Creator:
Zhu, Xiaoyang (University of Minnesota, Twin Cities)
Created:
2008-11-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with Kourosh Shoele, Dept of Structural Engr, UCSD.Fins of bony fishes are characterized by a skeleton-reinforced membrane structure consisting of a soft collagen membrane strengthened by embedded flexible rays. Morphologically, each ray is connected to a group of muscles so that the fish can control the rotational motion of each ray ...
Creator:
Zhu, Qiang (University of California, San Diego)
Created:
2010-06-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Human Computer Interaction (HCI) researchers study not only the design of the interface but also the setting in which computing is embedded, the needs of people in various contexts, and the activities they engage in while using various forms of computing. In this talk, I will give a brief overview of the variety of research methods used in the H...
Creator:
Zhu, Haiyi (University of Minnesota, Twin Cities)
Created:
2018-03-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This work considers an optimal inventory control problem using a long-term average criterion. In absence of ordering, the inventory process is modeled by a one-dimensional diffusion on some interval of $(-\infty, \infty)$ with general drift and diffusion coefficients and boundary points that are consistent with the notion that demands tend to re...
Creator:
Zhu, Chao (University of Wisconsin, Milwaukee)
Created:
2018-05-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Classical phase field models for lipid phase separation tend to minimize the interface energy, ending up with large domains after separation. A biologically more relevant scenario is the formation of local lipid domains, centered around proteins or not, called lipid rafts, which can not be reproduced by using the classical lipid phase separation...
Creator:
Zhou, Yongcheng (Colorado State University)
Created:
2015-07-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the problem of stopping a diffusion process with a payoff functional that renders the problem time inconsistent. We study stopping decisions of naive agents who reoptimize continuously in time, as well as equilibrium strategies of sophisticated agents who anticipate but lack control over their future selves' behaviors. When the state...
Creator:
Zhou, Xunyu (Columbia University)
Created:
2018-06-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We show that new families of accelerating and almost nondiracting beams (solutions) for Maxwell's equations can be constructed. These are complex geometrical optics (CGO) solutions to Maxwell's equations with nonlinear limiting Carleman weights. They have the form of wave packets that propagate along circular trajectories while almost pre-servin...
Creator:
Zhou, Ting (Northeastern University)
Created:
2017-04-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.