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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 ...
On phase transition for one dimensional countable state $P$-adic Potts model
p-adic numbers countable state Potts model p-adic Gibbs measure weight
2011/7/26
On phase transition for one dimensional countable state $P$-adic Potts model.
Path Integrals for Quadratic Lagrangians on p-Adic and Adelic Spaces
Path Integrals Quadratic Lagrangians p-Adic Adelic Spaces
2010/12/27
Feynman's path integrals in ordinary, p-adic and adelic quantum mechanics are considered. The corresponding probability amplitudes $ K(x^{"},t^{"};x',t')$ for two-dimensional systems with quadratic L...
We consider the construction of Lagrangians that might be suitable for describing the entire $p$-adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for...