We prove that any non-negative function f on Gaussian space that is not too log-concave (namely, a function satisfying Hess(log(f)) > - C Id) has tails strictly better than those given by Markov's inequality:P(f > c) < E[f]/(c (log c)^{1/2}) where E[f] denotes the (Gaussian) expectation of f. An immediateconsequence is a positive answer to the G...
Creator:
Eldan, Ronen (University of Washington)
Created:
2015-04-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
First, an optimal stopping problem of a Markov-Feller process is considered when the controller is allowed to stop the evolution only at the arrival times of a signal. A complete setting and resolution of this problem is discussed, e.g., when the inter-arrival times of the signal are independent identically distributed random variables, and then...
Creator:
Menaldi, Jose (Wayne State University)
Created:
2018-05-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will discuss a possibility of constructing solutions to the forced stationary Euler equations with limit regularity.The problem is motivated by finding vector fields that enjoy the properties of a turbulent flow, i.e. anomalous energy dissipation,smooth forcing, and regularity 1/3 in a certain Besov norm. The time-dependent versi...
Created:
2010-02-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Finite-dimensional diffusions have been successfully used as tractable approximations to gaininsight into a large class of queueing systems. We show that certain classes of queueingsystems lead naturally to infinite-dimensional diffusion approximations. For the particular model of many-server queues, we show that the limit state processconverges...
Creator:
Ramanan, Kavita (Brown University)
Created:
2013-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will discuss several conceptual aspects leading a a probabilistic positive solution to the following problem proposed by S. Smale: 'Can a zero of n complex polynomial equations in n unknowns be found approximately on the average, in polynomial time with a uniform algorithm?'
Creator:
Pardo, Luis Miguel (University of Cantabria)
Created:
2007-04-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The discrete nonlinear Schroedinger equation (dNLS) breaks Galilean invariance. Are there discrete solitary traveling waves of dNLS?Numerical simulations and formal analyses go back to the work of M. Peyrard and M.D. Kruskal. A localized state propagating through the latticeexcites radiation modes (lattice phonons). The propagatingstructure slow...
Creator:
Weinstein, Michael I. (Columbia University)
Created:
2012-12-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We construct several families of symmetric localized standing waves (breathers) to the one-, two-, and three-dimensional discrete nonlinear Schroedinger equation (DNLS) with cubic nonlinearity using bifurcation methods about the continuum limit. Such waves and their energy differences play a role in the propagation of localized states of DNLS ac...
Creator:
Jenkinson, Michael James (Rensselaer Polytechnic Institute)
Created:
2016-11-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The convective Cahn-Hilliard equation has gathered a lot of attention in recent years. While its solutions have been analyzed thoroughly, we show that within the context of quantum dot dynamics, a higher order convective Cahn-Hilliard equation brings along strong similarities in the solution structure. The parameter plane for stationary solution...
Creator:
Korzec, Maciek Dominik (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS))
Created:
2008-07-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
One of the most popular methods for complete characterization of ultra-short laser pulses is the Frequency-Resolved Optical Gating (FROG). In FROG, the acquired data is the power spectrum of the product of the unknown pulse with its delayed replica. Therefore the measured signal, called FROG trace, is a quartic function of the unknown pulse. In ...
Creator:
Bendory, Tamir (Princeton University)
Created:
2017-08-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
