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A Gaussian upper bound for the iterated kernels of Markov chains is obtained under some natural conditions. This result applies in particular to simple random walks on any locally compact unimodular g...
Chutes and Ladders in Markov Chains
Markov chains stationary distribution Bessel diffusions Sierspinski gasket
2015/7/14
We investigate how the stationary distribution of a Markov chain changes when
transitions from a single state are modified. In particular, adding a single
directed edge to nearest neighbor random wa...
Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type
multidimensional shifts of finite type Markov random fields
2010/12/7
For a class of Z2 Markov Random Fields (MRFs) μ, we show that the sequence of successive differences of entropies of induced MRFs on strips of height n converges exponentially fast (in n) to the entro...