Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Yinon Spinka"'
Publikováno v:
Probability Theory and Related Fields. 185:815-837
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d99515c0e199ce6da1bc1b60c7554bcb
https://doi.org/10.1007/s00440-022-01165-6
https://doi.org/10.1007/s00440-022-01165-6
Autor:
GOURAB RAY, YINON SPINKA
Publikováno v:
Ergodic Theory and Dynamical Systems. 43:2002-2027
We consider the unique measure of maximal entropy for proper 3-colorings of $\mathbb {Z}^{2}$ , or equivalently, the so-called zero-slope Gibbs measure. Our main result is that this measure is Bernoulli, or equivalently, that it can be expressed as t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1eaad546d6573fccfdab9510b2afc497
https://doi.org/10.1017/etds.2021.160
https://doi.org/10.1017/etds.2021.160
Publikováno v:
Combinatorics, Probability and Computing
We study and classify proper q-colourings of the ℤd lattice, identifying three regimes where different combinatorial behaviour holds. (1) When $q\le d+1$ , there exist frozen colourings, that is, proper q-colourings of ℤd which cannot be modified
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e506d28c451bc3e4a51d85b1235582d5
https://doi.org/10.1017/s0963548320000395
https://doi.org/10.1017/s0963548320000395
Autor:
Yinon Spinka, Ohad N. Feldheim
Publikováno v:
Journal of the European Mathematical Society. 21:1509-1570
We prove the existence of long-range order for the 3-state Potts antiferromagnet at low temperature on $\mathbb{Z}^d$ for sufficiently large $d$. In particular, we show the existence of six extremal and ergodic infinite-volume Gibbs measures, which e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1f79b97035b130fb7089ed5c4a605b4
https://doi.org/10.4171/jems/866
https://doi.org/10.4171/jems/866
Autor:
Omer Angel, Yinon Spinka
Publikováno v:
Advances in Probability and Mathematical Statistics ISBN: 9783030853242
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e484d074775feb7871df9bbeb0290366
https://doi.org/10.1007/978-3-030-85325-9_2
https://doi.org/10.1007/978-3-030-85325-9_2
Autor:
Yinon Spinka
Publikováno v:
Electronic Journal of Probability
Electron. J. Probab.
Electron. J. Probab.
It has been shown by van den Berg and Steif that the sub-critical Ising model on $\mathbb{Z}^d$ is a finitary factor of a finite-valued i.i.d. process. We strengthen this by showing that the factor map can be made to have finite expected coding volum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2621ca5a842bb9f3c2516b5aad6f4ba9
Autor:
Yinon Spinka
Publikováno v:
Ann. Probab. 48, no. 4 (2020), 2088-2117
We show that any finitely dependent invariant process on a transitive amenable graph is a finitary factor of an i.i.d. process. With an additional assumption on the geometry of the graph, namely that no two balls with different centers are identical,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7698afd5ac31e9a3cfde42fa4064101
Autor:
Yinon Spinka, Gourab Ray
It is known that the Ising model on $\mathbb {Z}^d$ at a given temperature is a finitary factor of an i.i.d. process if and only if the temperature is at least the critical temperature. Below the critical temperature, the plus and minus states of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06cdf854cc364121a3f8e8c822fbf986
A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$
Autor:
Yinon Spinka, Gourab Ray
The goal of this paper is to provide a short proof of the discontinuity of phase transition for the random-cluster model on the square lattice with parameter $q>4$. This result was recently shown via the so-called Bethe ansatz for the six-vertex mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96496a2a9a32bfe84285285d5e9544a2
Publikováno v:
Journal of the European Mathematical Society
The loop $O(n)$ model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin $O(n)$ model. It has been predicted by Nienhuis that for $0\le n\le 2$ the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4aa0515a8d3263c6df5bbafca00de7c
http://arxiv.org/abs/1707.09335
http://arxiv.org/abs/1707.09335