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We study the rate of convergence of symmetric random walks on finite
groups to the uniform distribution. A notion of moderate growth is introduced
that combines with eigenvalue techniques to give sh...
Pathwise Stationar y Solutions and Random Per iodic Solutions of Random Dynamical Systems (SPDEs, Random Maps)
Pathwise Stationar y Solutions Random Per
2015/4/3
here are two fundamental concepts in deter ministic dynamical systems: fixed
point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Random Attractors for Stochastic Wave Equations with Critical Exponents on Rn
Stochastic Wave Equations Random Attractors
2015/4/3
Outline
• Stochastic wave equations on Rn.
• Random attractors theory.
• Random absorbing sets for wave equations.
• Pullback asymptotic compactness.
• Existence of ...
Average-Case Separation in Proof Complexity:Short Propositional Refutations for Random 3CNF Formulas
Average-Case Short Propositional Random 3CNF Formulas
2012/12/4
Separating different propositional proof systems梩hat is, demonstrating that one proof system cannot efficiently simulate another proof system梚s one of the main goals of proof complexity. Nevertheless,...
The Random Integral Representation Conjecture: a quarter of a century later
Class L distributions or selfdecomposable distributions infinite divisibility Lévy-Khintchine formula
2010/12/6
In Jurek 1985 and 1988 the random integral representations conjecture was stated. It claims that (some) limit laws can be written as probability distributions of random integrals of
the form R (a,b] ...