Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Aran Raoufi"'
Autor:
Frederik Ravn Klausen, Aran Raoufi
Publikováno v:
Klausen, F R & Raoufi, A 2022, ' Mass Scaling of the Near-Critical 2D Ising Model Using Random Currents ', Journal of Statistical Physics, vol. 188, no. 3, 21, pp. 1-21 . https://doi.org/10.1007/s10955-022-02939-x
We examine the Ising model at its critical temperature with an external magnetic field $h a^{\frac{15}{8}}$ on $a\mathbb{Z}^2$ for $a,h >0$. A new proof of exponential decay of the truncated two-point correlation functions is presented. It is proven
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e2100fe79672cfc7b8e4ae83bd9a954
https://curis.ku.dk/portal/da/publications/mass-scaling-of-the-nearcritical-2d-ising-model-using-random-currents(75a3786f-43a9-403b-a345-066087ff2005).html
https://curis.ku.dk/portal/da/publications/mass-scaling-of-the-nearcritical-2d-ising-model-using-random-currents(75a3786f-43a9-403b-a345-066087ff2005).html
Autor:
Aran Raoufi
Publikováno v:
Ann. Probab. 48, no. 2 (2020), 760-777
We prove that at any inverse temperature $\beta $ and on any transitive amenable graph, the automorphism-invariant Gibbs states of the ferromagnetic Ising model are convex combinations of the plus and minus states. The theorem is equivalent with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2132ef8838fca5d81a8adec17a4d0629
https://doi.org/10.1214/19-aop1374
https://doi.org/10.1214/19-aop1374
Publikováno v:
Communications in Mathematical Physics, 374
Communications in Mathematical Physics
Communications in Mathematical Physics
The truncated two-point function of the ferromagnetic Ising model on Zd (d≥3) in its pure phases is proven to decay exponentially fast throughout the ordered regime (β>βc and h=0). Together with the previously known results, this implies that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8d9315329e0725c00dc07bec7ba31af
https://hdl.handle.net/20.500.11850/384647
https://hdl.handle.net/20.500.11850/384647
Publikováno v:
Probability Theory and Related Fields. 173:479-490
We prove that for Voronoi percolation on $$\mathbb {R}^d$$ $$(d\ge 2)$$ , there exists $$p_c=p_c(d)\in (0,1)$$ such that For dimension 2, this result offers a new way of showing that $$p_c(2)=1/2$$ . This paper belongs to a series of papers using the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f552155e9a311914aa09eb3d2fa374f9
https://doi.org/10.1007/s00440-018-0838-9
https://doi.org/10.1007/s00440-018-0838-9
Publikováno v:
Annals of Mathematics. 189
We prove an inequality on decision trees on monotonic measures which generalizes the OSSS inequality on product spaces. As an application, we use this inequality to prove a number of new results on lattice spin models and their random-cluster represe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e85e190cab8e22d57d156b0bfb8f26bb
https://doi.org/10.4007/annals.2019.189.1.2
https://doi.org/10.4007/annals.2019.189.1.2
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 54, no. 1 (2018), 422-436
We present a new computation of the critical value of the random-cluster model with cluster weight $q\ge 1$ on $\mathbb{Z}^2$. This provides an alternative approach to the result of Beffara and Duminil-Copin. We believe that this approach has several
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e838a9e7a3816f3277e43d6c2ca8a578
https://projecteuclid.org/euclid.aihp/1519030834
https://projecteuclid.org/euclid.aihp/1519030834
Autor:
Ariel Yadin, Aran Raoufi
A conjecture of Benjamini & Schramm from 1996 states that any finitely generated group that is not a finite extension of $\mathbb{Z} $ has a non-trivial percolation phase. Our main results prove this conjecture for certain groups, and in particular p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c813a1c2dca92f4020355ffb6d7793af
Publikováno v:
Journal of the ACM. Nov2022, Vol. 69 Issue 6, p1-19. 19p.
Publikováno v:
Annales Henri Lebesgue
Annales Henri Lebesgue, 3
Annales Henri Lebesgue, 3
Annales Henri Lebesgue, 3
ISSN:2644-9463
ISSN:2644-9463
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0aef4bd120e9fa12bac13763718f45c