Matches in SemOpenAlex for { <https://semopenalex.org/work/W2956872972> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2956872972 abstract "Consider the 3D Ising model on a box of side length $n$ with minus boundary conditions above the $xy$-plane and plus boundary conditions below it. At low temperatures, Dobrushin (1972) showed that the interface separating the predominantly plus and predominantly minus regions is localized: its height above a fixed point has exponential tails. Recently, the authors proved a law of large numbers for the maximum height $M_n$ of this interface: for every $beta$ large, $M_n/ log nto c_beta$ in probability as $ntoinfty$. Here we show that the laws of the centered maxima $(M_n - mathbb{E}[M_n])_{ngeq 1}$ are uniformly tight. Moreover, even though this sequence does not converge, we prove that it has uniform upper and lower Gumbel tails (exponential right tails and doubly exponential left tails). Key to the proof is a sharp (up to $O(1)$ precision) understanding of the surface large deviations. This includes, in particular, the shape of a pillar that reaches near-maximum height, even at its base, where the interactions with neighboring pillars are dominant." @default.
- W2956872972 created "2019-07-23" @default.
- W2956872972 creator A5047720470 @default.
- W2956872972 creator A5085479654 @default.
- W2956872972 date "2019-07-16" @default.
- W2956872972 modified "2023-09-27" @default.
- W2956872972 title "Tightness and tails of the maximum in 3D Ising interfaces" @default.
- W2956872972 cites W1545115340 @default.
- W2956872972 cites W1572521168 @default.
- W2956872972 cites W1968753606 @default.
- W2956872972 cites W1971837735 @default.
- W2956872972 cites W1976663618 @default.
- W2956872972 cites W1986960238 @default.
- W2956872972 cites W2033455444 @default.
- W2956872972 cites W2040165411 @default.
- W2956872972 cites W2044427968 @default.
- W2956872972 cites W2049294364 @default.
- W2956872972 cites W2073196886 @default.
- W2956872972 cites W2082053835 @default.
- W2956872972 cites W2097649415 @default.
- W2956872972 cites W2226065225 @default.
- W2956872972 cites W2592044494 @default.
- W2956872972 cites W2909141925 @default.
- W2956872972 cites W2963218408 @default.
- W2956872972 cites W2964051416 @default.
- W2956872972 cites W3016197797 @default.
- W2956872972 cites W3098780177 @default.
- W2956872972 hasPublicationYear "2019" @default.
- W2956872972 type Work @default.
- W2956872972 sameAs 2956872972 @default.
- W2956872972 citedByCount "0" @default.
- W2956872972 crossrefType "posted-content" @default.
- W2956872972 hasAuthorship W2956872972A5047720470 @default.
- W2956872972 hasAuthorship W2956872972A5085479654 @default.
- W2956872972 hasConcept C105795698 @default.
- W2956872972 hasConcept C114614502 @default.
- W2956872972 hasConcept C121332964 @default.
- W2956872972 hasConcept C134306372 @default.
- W2956872972 hasConcept C137610916 @default.
- W2956872972 hasConcept C142362112 @default.
- W2956872972 hasConcept C147581598 @default.
- W2956872972 hasConcept C151376022 @default.
- W2956872972 hasConcept C17825722 @default.
- W2956872972 hasConcept C2524010 @default.
- W2956872972 hasConcept C26873012 @default.
- W2956872972 hasConcept C33923547 @default.
- W2956872972 hasConcept C51329190 @default.
- W2956872972 hasConcept C52119013 @default.
- W2956872972 hasConcept C554144382 @default.
- W2956872972 hasConcept C62354387 @default.
- W2956872972 hasConcept C91528185 @default.
- W2956872972 hasConceptScore W2956872972C105795698 @default.
- W2956872972 hasConceptScore W2956872972C114614502 @default.
- W2956872972 hasConceptScore W2956872972C121332964 @default.
- W2956872972 hasConceptScore W2956872972C134306372 @default.
- W2956872972 hasConceptScore W2956872972C137610916 @default.
- W2956872972 hasConceptScore W2956872972C142362112 @default.
- W2956872972 hasConceptScore W2956872972C147581598 @default.
- W2956872972 hasConceptScore W2956872972C151376022 @default.
- W2956872972 hasConceptScore W2956872972C17825722 @default.
- W2956872972 hasConceptScore W2956872972C2524010 @default.
- W2956872972 hasConceptScore W2956872972C26873012 @default.
- W2956872972 hasConceptScore W2956872972C33923547 @default.
- W2956872972 hasConceptScore W2956872972C51329190 @default.
- W2956872972 hasConceptScore W2956872972C52119013 @default.
- W2956872972 hasConceptScore W2956872972C554144382 @default.
- W2956872972 hasConceptScore W2956872972C62354387 @default.
- W2956872972 hasConceptScore W2956872972C91528185 @default.
- W2956872972 hasLocation W29568729721 @default.
- W2956872972 hasOpenAccess W2956872972 @default.
- W2956872972 hasPrimaryLocation W29568729721 @default.
- W2956872972 hasRelatedWork W1558763341 @default.
- W2956872972 hasRelatedWork W1735841310 @default.
- W2956872972 hasRelatedWork W1868808735 @default.
- W2956872972 hasRelatedWork W2054428342 @default.
- W2956872972 hasRelatedWork W2060306972 @default.
- W2956872972 hasRelatedWork W2071570794 @default.
- W2956872972 hasRelatedWork W2759040922 @default.
- W2956872972 hasRelatedWork W2789067502 @default.
- W2956872972 hasRelatedWork W2793848038 @default.
- W2956872972 hasRelatedWork W2806868390 @default.
- W2956872972 hasRelatedWork W2891826878 @default.
- W2956872972 hasRelatedWork W2909141925 @default.
- W2956872972 hasRelatedWork W2950310995 @default.
- W2956872972 hasRelatedWork W2951212127 @default.
- W2956872972 hasRelatedWork W2997016228 @default.
- W2956872972 hasRelatedWork W3100618733 @default.
- W2956872972 hasRelatedWork W3103111979 @default.
- W2956872972 hasRelatedWork W3139444383 @default.
- W2956872972 hasRelatedWork W3188631379 @default.
- W2956872972 hasRelatedWork W426563975 @default.
- W2956872972 isParatext "false" @default.
- W2956872972 isRetracted "false" @default.
- W2956872972 magId "2956872972" @default.
- W2956872972 workType "article" @default.