Penalisation of the symmetric random walk by several functions of the supremum      Penalisation  symmetric random  several functions of the supremum        font style='font-size:12px;'> 2011/1/21

all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths  : N ! Z such that |(n + 1) − (n)| = 1, X = (Xn, n  0) is the canonical coordinate proc...

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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       font style='font-size:12px;'> 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...

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