Gibbs Measures Over Locally Tree-Like Graphs and Percolative Entropy Over Infinite Regular Trees
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-1959-3
Abstract: Consider a statistical physical model on the d-regular infinite tree $$T_{d}$$Td described by a set of interactions $$\Phi $$Φ. Let $$\{G_{n}\}$${Gn} be a sequence of finite graphs with vertex sets $$V_n$$Vn that locally converge to… read more here.
Keywords: entropy; measures locally; percolative entropy; gibbs measures ... See more keywords
On the relation between Gibbs and $g$ -measures
Sign Up to like & getrecommendations! Published in 2019 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2018.13
Abstract: Thermodynamic formalism, the theory of equilibrium states, is studied both in dynamical systems and probability theory. Various closely related notions have been developed: e.g. Dobrushin–Lanford–Ruelle Gibbs, Bowen–Gibbs and $g$ -measures. We discuss the relation between… read more here.
Keywords: relation gibbs; gibbs; gibbs measures;
A Numerical Study of Gibbs u-Measures for Partially Hyperbolic Diffeomorphisms on
Sign Up to like & getrecommendations! Published in 2019 at "Experimental Mathematics"
DOI: 10.1080/10586458.2017.1389321
Abstract: ABSTRACT We consider a hyperbolic automorphism of the three-torus whose two-dimensional unstable distribution splits into weak and strong unstable subbundles. We unfold A into two one-parameter families of Anosov diffeomorphisms—a conservative family and a dissipative… read more here.
Keywords: numerical study; study gibbs; measures partially; gibbs measures ... See more keywords
Single site factors of Gibbs measures
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab5179
Abstract: It has been an open problem to identify classes of Gibbs measures less regular then Holder continuous on the full shift which are closed under factor maps. In this article we show that in fact… read more here.
Keywords: single site; factors gibbs; site factors; factor ... See more keywords
Multifractal formalism for the inverse of random weak Gibbs measures
Sign Up to like & getrecommendations! Published in 2019 at "Stochastics and Dynamics"
DOI: 10.1142/s0219493720500240
Abstract: Any Borel probability measure supported on a Cantor set included in [Formula: see text] and of zero Lebesgue measure on the real line possesses a discrete inverse measure. We study the validity of the multifractal… read more here.
Keywords: random weak; formalism inverse; multifractal formalism; gibbs measures ... See more keywords
Gibbs measures of an Ising model with competing interactions on the triangular chandelier-lattice
Sign Up to like & getrecommendations! Published in 2019 at "Condensed Matter Physics"
DOI: 10.5488/cmp.22.23002
Abstract: In this paper, we consider an Ising model with three competing interactions on a triangular chandelier-lattice (TCL). We describe the existence, uniqueness, and non-uniqueness of translation-invariant Gibbs measures associated with the Ising model. We obtain… read more here.
Keywords: competing interactions; triangular chandelier; ising model; gibbs measures ... See more keywords