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SCALING LIMITS OF RECURRENT EXCITED RANDOM WALKS ON INTEGERS
Limit random walk RECURRENT EXCITED
2015/9/29
We describe scaling limits of recurrent excited random walks (ERWs) on
Z in i.i.d. cookie environments with a bounded number of cookies per site. We allow
both positive and negative excitations.
Finite size scaling for the core of large random hypergraphs
Core random hyper-graph random graph low-density parity-check codes XOR-SAT fi nite size scaling
2015/8/21
The (two) core of an hyper-graph is the maximal collection of hyper-edges within which no vertex appears only once. It is of importance in tasks such as efficiently solving a large linear system over ...
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
continuous system binary jumps non-equilibrium dynamics correlation functions scaling limit Vlasov scaling Poisson measure
2011/9/15
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
The scaling limit of the critical one-dimensional random Schrodinger operator
critical one-dimensional random Schrodinger operator Probability
2011/9/9
Abstract: We consider two models of one-dimensional discrete random Schrodinger operators (H_n \psi)_l ={\psi}_{l-1}+{\psi}_{l +1}+v_l {\psi}_l, {\psi}_0={\psi}_{n+1}=0 in the cases v_k=\sigma {\omega...
Schroder's problems and scaling limits of random trees
Schroder's problems Probability scaling limits of random trees
2011/8/31
Abstract: In a classic paper Schr\"oder posed four combinatorial problems about the number of certain types of bracketings of words and sets. Here we address what these bracketings look like on averag...
From a kinetic equation to a diffusion under an anomalous scaling
Anomalous thermal conductivity kinetic limit invariance principle
2011/8/23
Abstract: A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y(t)), where (K(t), i(t)) is an autonomous reversible jump pro...
Many Random Number Generators (RNG) are available nowadays; they are divided in two categories,
hardware RNG, that provide “true” random numbers, and algorithmic RNG, that generate
pseudo random num...