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Central limit theorems for Markov chains are considered, and in particular the relationships between various expressions for asymptotic variance known from the literature.. These
Key words: Random walk among random conductances, functional limit theorems, fractional kinetics, trap models.. AMS 2000 Subject Classification:
Furthermore, the criterion applies to two important classes of branching random walks and implies that the critical branching random walk is transient resp.. dies
Central limit theorems for functionals of general state space Markov chains are of crucial importance in sensible implementation of Markov chain Monte Carlo algorithms as well as
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
For the one-dimensional totally asymmetric K -exclusion process, which does not have explicit invariant measures, a strong hydrodynamic limit was established in [ 37 ] , starting
A consequence of the weak convergence of coalescing nonsimple random walks to the Brownian web is that, for the dual one-dimensional voter model with initial condition 1’s on
In the limit of a sinusoidal potential ( k → 0) our solutions model a quasi-one dimensional quantum degenerate Bose– Fermi mixture trapped in optical lattice.. In the limit k → 1
