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On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Cayley trees hard core interaction Gibbs measures translation invariant measures periodic measures
2011/9/20
Abstract: In this paper we consider a nearest-neighbor $p$-adic hard core (HC) model, with fugacity $\lambda$, on a homogeneous Cayley tree of order $k$ (with $k + 1$ neighbors). We focus on $p$-adic ...
Regular $g$-measures are not always Gibbsian
Discrete-time stochastic processes g-measures chains with complete connections non-Gibbsianness chains with variable-length memory
2011/7/28
Abstract: Regular $g$-measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields determined by ...