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.
Cohomological ideas have recently been injected into persistent homology and have for example been used for accelerating the calculation of persistence diagrams by softwares, such as Ripser. The cup product operation which is available at cohomology level gives rise to a graded ring structure that extends the usual vector space structure and is ...
Creator:
Zhou, Ling (The Ohio State University)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cryo-electron microscopy (EM) single particle reconstruction is an entirely general technique for 3D structure determination of macromolecular complexes. However, because the images are taken at low electron dose, it is extremely hard to visualize the individual particle with low contrast and high noise level. In this lecture, I will introduce a...
Creator:
, Zhizhen (Jane) Zhao
Created:
2019-10-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We show that there are supersonic solutions to theEuler system that are not hyperbolic in the traditionalsense. These solutions occur at the transonic region,whose characteristics may both come from the sonic line andend at the sonic line. Based on the new wave structure,we offer perspectives to construct global transonicsolutions to the Riemann...
Creator:
Zheng, Yuxi (The Pennsylvania State University)
Created:
2009-07-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Achieving accurate prediction of free energy using molecular dynamics simulations has been a central topic in computational biophysics in the past few decades. However, it is very challenging due to slow environment responses in biological systems. We introduce the orthogonal space sampling method to actively sample the environment responses alo...
Creator:
Zheng, Lianqing (Florida State University)
Created:
2015-07-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications.One of the main ingredients in the proof is a relative Szemerédi theorem, which says that every relatively dense subset of a pseudorandom set of ...
Creator:
Zhao, Yufei (Massachusetts Institute of Technology)
Created:
2014-10-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Poisson-Boltzmann (PB) equation is an effective model for the electrostatics analysis of solvated biomolecules. The nonlinearity associated with the PB equation is critical when the underlying electrostatic potential is strong, but is extremely difficult to solve numerically. Recently, we have developed several operator splitting methods to ...
Creator:
Zhao, Shan (University of Alabama)
Created:
2015-07-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
RIVET computes degree-Rips bifiltrations, a two-parameter version of the Vietoris Rips complex that takes the density of points into account. In a Rips complex, a simplex appears when all of its faces appear. When computing single parameter persistent homology, we can simply take the maximum time of appearance of its faces to be the time of appe...
Creator:
Zhao, Roy (University of California, Berkeley)
Created:
2018-08-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.