Výsledky vyhledávání - "Yvan Velenik"

On the Two-Point Function of the Potts Model in the Saturation Regime

Autor: Yacine Aoun, Sébastien Ott, Yvan Velenik

Publikováno v: Communications in Mathematical Physics. 399:1103-1138

We consider the Random-Cluster model on $\mathbb{Z}^d$ with interactions of infinite range of the form $J_x = \psi(x)\mathsf{e}^{-\rho(x)}$ with $\rho$ a norm on $\mathbb{Z}^d$ and $\psi$ a subexponential correction. We first provide an optimal crite

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa21c80ac2eab5b303208f2997a3845d
https://doi.org/10.1007/s00220-022-04574-9

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Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density

Autor: Dmitry Ioffe, Sébastien Ott, Yvan Velenik, Yacine Aoun

Publikováno v: Physical Review. E, Vol. 103, No 5 (2021) P. L050104

We report on recent results that show that the pair correlation function of systems with exponentially decaying interactions can fail to exhibit Ornstein-Zernike asymptotics at all sufficiently high temperatures and all sufficiently small densities.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38c2fce2b2902bcb31a1d0363c97f218

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Invariance Principle for a Potts Interface Along a Wall

Autor: Sébastien Ott, Yvan Velenik, Dmitry Ioffe, Vitali Wachtel

Publikováno v: Journal of Statistical Physics, No 180 (2020) pp. 832-861

We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable diffusive scaling, the interface weakly converges to the stan

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3e1a4f2675ee296c10bb78e9afae9e4
https://archive-ouverte.unige.ch/unige:128933

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Asymptotics of even-even correlations in the Ising model

Autor: Sébastien Ott, Yvan Velenik

Publikováno v: Probability Theory and Related Fields, Vol. 175 (2019) pp. 309-340

We consider finite-range ferromagnetic Ising models on $\mathbb{Z}^d$ in the regime $\beta
Comment: Changed section numbering to match the published version

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::304698954dc89fde7c7359f67ea7057b
https://archive-ouverte.unige.ch/unige:104016

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Erratum to: Self-Attractive Random Walks: The Case of Critical Drifts

Autor: Yvan Velenik, Dmitry Ioffe

Publikováno v: Comm. Math. Phys.
Communications in Mathematical Physics, Vol. 323, No 1 (2013) pp. 449-450

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2746e1babe318d892be80436f1d05c13
http://doc.rero.ch/record/319429/files/220_2013_Article_1768.pdf

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An invariance principle to Ferrari-Spohn diffusions

Autor: Dmitry Ioffe, Yvan Velenik, Senya Shlosman

Publikováno v: Comm. Math. Phys.
Communications in Mathematical Physics, Vol. 336 (2015) pp. 905-932
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2015, 336 (2), pp.905-932. ⟨10.1007/s00220-014-2277-5⟩
Communications in Mathematical Physics, 2015, 336 (2), pp.905-932. ⟨10.1007/s00220-014-2277-5⟩

We prove an invariance principle for a class of tilted (1+1)-dimensional SOS models or, equivalently, for a class of tilted random walk bridges in Z_+. The limiting objects are stationary reversible ergodic diffusions with drifts given by the logarit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b310519392d4703262e08d261799f8a7
http://arxiv.org/abs/1403.5073

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