Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Endo, Eric O."'
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb{Z}^d$ for $d\ge 1$. The spin space can be an arbitrary, possibly unbo
Externí odkaz:
http://arxiv.org/abs/2408.04542
We consider polynomial long-range Ising models in one dimension, with ferromagnetic pair interactions decaying with power $2-\alpha$ (for $0 \leq \alpha < 1$), and prepared with randomly chosen boundary conditions. We show that at low temperatures in
Externí odkaz:
http://arxiv.org/abs/2405.08374
Autor:
Endo, Eric O., Margarint, Vlad
Dobrushin and Tirozzi [14] showed that, for a Gibbs measure with the finite-range potential, the Local Central Limit Theorem is implied by the Integral Central Limit Theorem. Campanino, Capocaccia, and Tirozzi [7] extended this result for a family of
Externí odkaz:
http://arxiv.org/abs/2111.14099
Inspired by Fr\"{o}hlich-Spencer and subsequent authors who introduced the notion of contour for long-range systems, we provide a definition of contour and a direct proof for the phase transition for ferromagnetic long-range Ising models on $\mathbb{
Externí odkaz:
http://arxiv.org/abs/2105.06103
We consider the natural definition of DLR measure in the setting of $\sigma$-finite measures on countable Markov shifts. We prove that the set of DLR measures contains the set of conformal measures associated with Walters potentials. In the BIP case,
Externí odkaz:
http://arxiv.org/abs/2008.03463
Random boundary conditions are one of the simplest realizations of quenched disorder. They have been used as an illustration of various conceptual issues in the theory of disordered spin systems. Here we review some of these results.
Comment: Co
Comment: Co
Externí odkaz:
http://arxiv.org/abs/1911.10490
Autor:
Bissacot, Rodrigo, Endo, Eric O., van Enter, Aernout C. D., Kimura, Bruno, Ruszel, Wioletta M.
We consider ferromagnetic long-range Ising models which display phase transitions. They are long-range one-dimensional Ising ferromagnets, in which the interaction is given by $J_{x,y} = J(|x-y|)\equiv \frac{1}{|x-y|^{2-\alpha}}$ with $\alpha \in [0,
Externí odkaz:
http://arxiv.org/abs/1710.02986
Autor:
Endo, Eric O.1 (AUTHOR) ericossamiendo@gmail.com, Margarint, Vlad1,2 (AUTHOR)
Publikováno v:
Journal of Statistical Physics. Dec2022, Vol. 189 Issue 3, p1-31. 31p.
Autor:
Endo, Eric O.1,2,3 eoe2@nyu.edu, Valesin, Daniel3 d.rodrigues.valesin@rug.nl
Publikováno v:
ALEA. Latin American Journal of Probability & Mathematical Statistics. 2020, Vol. 17, p51-63. 13p.
Autor:
Bissacot, Rodrigo1 rodrigo.bissacot@gmail.com, Endo, Eric O.1,2 eric@ime.usp.br, van Enter, Aernout C. D.2 a.c.d.van.enter@rug.nl, Le Ny, Arnaud3 arnaud.le-ny@u-pec.fr
Publikováno v:
Communications in Mathematical Physics. Nov2018, Vol. 363 Issue 3, p767-788. 22p.