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.
We show the existence of local Lipschitzian stable and unstable manifolds for the ill posed problem of perturbations of hyperbolic bisemigroups.We do not assume backward nor forward uniqueness of solutions. We do not use cut-off functions because we do not assume globalsmallness conditions on the nonlinearities.We introduce what we call dichotom...
Creator:
ElBialy, Mohamed Sami (University of Toledo)
Created:
2011-06-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Milestoning is a theory for stochastic coarse graining in space and time and an algorithm to compute kinetics and reaction dynamics of complex molecular systems. I will discuss the theory and algorithm properties, implementation, and an application to the folding of a helix and to the recovery stroke of the protein myosin. I will review the diff...
Creator:
Elber, Ron (The University of Texas at Austin)
Created:
2009-05-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Sequence-structure relationships in proteins are highly asymmetric sincemany sequences fold into relatively few structures. What is the number ofsequences that fold into a particular protein structure? Is it possible toswitch between stable protein folds by point mutations? To address thesequestions we compute a directed graph of sequences and s...
Creator:
Elber, Ron (The University of Texas at Austin)
Created:
2008-01-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.