Matches in SemOpenAlex for { <https://semopenalex.org/work/W3021344927> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W3021344927 abstract "The motivation for this article is to derive strict convexity of the surface tension for Lipschitz random surfaces, that is, for models of random Lipschitz functions from $mathbb Z^d$ to $mathbb Z$ or $mathbb R$. An essential innovation is that random surface models with long- and infinite-range interactions are included in the analysis. More specifically, we cover at least: uniformly random graph homomorphisms from $mathbb Z^d$ to a $k$-regular tree for any $kgeq 2$ and Lipschitz potentials which satisfy the FKG lattice condition. The latter includes perturbations of dimer- and six-vertex models and of Lipschitz simply attractive potentials introduced by Sheffield. The main result is that we prove strict convexity of the surface tension -- which implies uniqueness for the limiting macroscopic profile -- if the model of interest is monotone in the boundary conditions. This solves a conjecture of Menz and Tassy, and answers a question posed by Sheffield. Auxiliary to this, we prove several results which may be of independent interest, and which do not rely on the model being monotone. This includes existence and topological properties of the specific free energy, as well as a characterization of its minimizers. We also prove a general large deviations principle which describes both the macroscopic profile and the local statistics of the height functions. This work is inspired by, but independent of, Random Surfaces by Sheffield." @default.
- W3021344927 created "2020-05-13" @default.
- W3021344927 creator A5010352934 @default.
- W3021344927 creator A5046637469 @default.
- W3021344927 date "2020-04-30" @default.
- W3021344927 modified "2023-09-26" @default.
- W3021344927 title "Macroscopic behavior of Lipschitz random surfaces" @default.
- W3021344927 cites W182345440 @default.
- W3021344927 cites W1942616285 @default.
- W3021344927 cites W1987050081 @default.
- W3021344927 cites W2011203762 @default.
- W3021344927 cites W2064093707 @default.
- W3021344927 cites W2132840498 @default.
- W3021344927 cites W2136384943 @default.
- W3021344927 cites W2964324006 @default.
- W3021344927 cites W621228320 @default.
- W3021344927 hasPublicationYear "2020" @default.
- W3021344927 type Work @default.
- W3021344927 sameAs 3021344927 @default.
- W3021344927 citedByCount "2" @default.
- W3021344927 countsByYear W30213449272021 @default.
- W3021344927 crossrefType "posted-content" @default.
- W3021344927 hasAuthorship W3021344927A5010352934 @default.
- W3021344927 hasAuthorship W3021344927A5046637469 @default.
- W3021344927 hasConcept C106159729 @default.
- W3021344927 hasConcept C112680207 @default.
- W3021344927 hasConcept C114614502 @default.
- W3021344927 hasConcept C134306372 @default.
- W3021344927 hasConcept C162324750 @default.
- W3021344927 hasConcept C202444582 @default.
- W3021344927 hasConcept C22324862 @default.
- W3021344927 hasConcept C2524010 @default.
- W3021344927 hasConcept C2777021972 @default.
- W3021344927 hasConcept C2780990831 @default.
- W3021344927 hasConcept C2834757 @default.
- W3021344927 hasConcept C33923547 @default.
- W3021344927 hasConcept C72134830 @default.
- W3021344927 hasConceptScore W3021344927C106159729 @default.
- W3021344927 hasConceptScore W3021344927C112680207 @default.
- W3021344927 hasConceptScore W3021344927C114614502 @default.
- W3021344927 hasConceptScore W3021344927C134306372 @default.
- W3021344927 hasConceptScore W3021344927C162324750 @default.
- W3021344927 hasConceptScore W3021344927C202444582 @default.
- W3021344927 hasConceptScore W3021344927C22324862 @default.
- W3021344927 hasConceptScore W3021344927C2524010 @default.
- W3021344927 hasConceptScore W3021344927C2777021972 @default.
- W3021344927 hasConceptScore W3021344927C2780990831 @default.
- W3021344927 hasConceptScore W3021344927C2834757 @default.
- W3021344927 hasConceptScore W3021344927C33923547 @default.
- W3021344927 hasConceptScore W3021344927C72134830 @default.
- W3021344927 hasLocation W30213449271 @default.
- W3021344927 hasOpenAccess W3021344927 @default.
- W3021344927 hasPrimaryLocation W30213449271 @default.
- W3021344927 hasRelatedWork W102620974 @default.
- W3021344927 hasRelatedWork W1408945086 @default.
- W3021344927 hasRelatedWork W1574034618 @default.
- W3021344927 hasRelatedWork W2026551031 @default.
- W3021344927 hasRelatedWork W2062128469 @default.
- W3021344927 hasRelatedWork W2172661985 @default.
- W3021344927 hasRelatedWork W2415127877 @default.
- W3021344927 hasRelatedWork W2474943504 @default.
- W3021344927 hasRelatedWork W2599169448 @default.
- W3021344927 hasRelatedWork W2894752844 @default.
- W3021344927 hasRelatedWork W2953021714 @default.
- W3021344927 hasRelatedWork W2962733795 @default.
- W3021344927 hasRelatedWork W3013839780 @default.
- W3021344927 hasRelatedWork W3027206325 @default.
- W3021344927 hasRelatedWork W3041514352 @default.
- W3021344927 hasRelatedWork W3105273456 @default.
- W3021344927 hasRelatedWork W3160226901 @default.
- W3021344927 hasRelatedWork W3161976387 @default.
- W3021344927 hasRelatedWork W3187842763 @default.
- W3021344927 hasRelatedWork W3103306297 @default.
- W3021344927 isParatext "false" @default.
- W3021344927 isRetracted "false" @default.
- W3021344927 magId "3021344927" @default.
- W3021344927 workType "article" @default.