FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103167906> ?p ?o ?g. }

• W3103167906 endingPage "1183" @default.
• W3103167906 startingPage "1146" @default.
• W3103167906 abstract "We investigate the marginal distribution of the bottom eigenvalues of the stochastic Airy operator when the inverse temperature $beta$ tends to $0$. We prove that the minimal eigenvalue, whose fluctuations are governed by the Tracy-Widom $beta$ law, converges weakly, when properly centered and scaled, to the Gumbel distribution. More generally we obtain the convergence in law of the marginal distribution of any eigenvalue with given index $k$. Those convergences are obtained after a careful analysis of the explosion times process of the Riccati diffusion associated to the stochastic Airy operator. We show that the empirical measure of the explosion times converges weakly to a Poisson point process using estimates proved in [L. Dumaz and B. Vir'ag. Ann. Inst. H. Poincar'e Probab. Statist. 49, 4, 915-933, (2013)]. We further compute the empirical eigenvalue density of the stochastic Airy ensemble on the macroscopic scale when $betato 0$. As an application, we investigate the maximal eigenvalues statistics of $beta_N$-ensembles when the repulsion parameter $beta_Nto 0$ when $Nto +infty$. We study the double scaling limit $Nto +infty, beta_N to 0$ and argue with heuristic and numerical arguments that the statistics of the marginal distributions can be deduced following the ideas of [A. Edelman and B. D. Sutton. J. Stat. Phys. 127, 6, 1121-1165 (2007)] and [J. A. Ram'irez, B. Rider and B. Vir'ag. J. Amer. Math. Soc. 24, 919-944 (2011)] from our later study of the stochastic Airy operator." @default.
• W3103167906 created "2020-11-23" @default.
• W3103167906 creator A5018086394 @default.
• W3103167906 creator A5084448455 @default.
• W3103167906 date "2014-07-12" @default.
• W3103167906 modified "2023-09-23" @default.
• W3103167906 title "Tracy–Widom at High Temperature" @default.
• W3103167906 cites W1586554030 @default.
• W3103167906 cites W1967850169 @default.
• W3103167906 cites W1975344643 @default.
• W3103167906 cites W1996399057 @default.
• W3103167906 cites W1998109885 @default.
• W3103167906 cites W2004226321 @default.
• W3103167906 cites W2007348070 @default.
• W3103167906 cites W2030076080 @default.
• W3103167906 cites W2046859918 @default.
• W3103167906 cites W2056369371 @default.
• W3103167906 cites W2061072394 @default.
• W3103167906 cites W2065215085 @default.
• W3103167906 cites W2079474739 @default.
• W3103167906 cites W2092144432 @default.
• W3103167906 cites W2125370545 @default.
• W3103167906 cites W2480353178 @default.
• W3103167906 cites W2963408322 @default.
• W3103167906 cites W3099385098 @default.
• W3103167906 cites W3099388123 @default.
• W3103167906 cites W3099914334 @default.
• W3103167906 cites W3100748774 @default.
• W3103167906 cites W3100869531 @default.
• W3103167906 cites W3102575613 @default.
• W3103167906 cites W3105323714 @default.
• W3103167906 cites W4229765068 @default.
• W3103167906 cites W4249520102 @default.
• W3103167906 cites W4301258660 @default.
• W3103167906 cites W653925602 @default.
• W3103167906 doi "https://doi.org/10.1007/s10955-014-1058-z" @default.
• W3103167906 hasPublicationYear "2014" @default.
• W3103167906 type Work @default.
• W3103167906 sameAs 3103167906 @default.
• W3103167906 citedByCount "19" @default.
• W3103167906 countsByYear W31031679062014 @default.
• W3103167906 countsByYear W31031679062015 @default.
• W3103167906 countsByYear W31031679062016 @default.
• W3103167906 countsByYear W31031679062017 @default.
• W3103167906 countsByYear W31031679062018 @default.
• W3103167906 countsByYear W31031679062019 @default.
• W3103167906 countsByYear W31031679062021 @default.
• W3103167906 countsByYear W31031679062022 @default.
• W3103167906 crossrefType "journal-article" @default.
• W3103167906 hasAuthorship W3103167906A5018086394 @default.
• W3103167906 hasAuthorship W3103167906A5084448455 @default.
• W3103167906 hasBestOaLocation W31031679062 @default.
• W3103167906 hasConcept C104317684 @default.
• W3103167906 hasConcept C114614502 @default.
• W3103167906 hasConcept C121332964 @default.
• W3103167906 hasConcept C134306372 @default.
• W3103167906 hasConcept C158448853 @default.
• W3103167906 hasConcept C158693339 @default.
• W3103167906 hasConcept C17020691 @default.
• W3103167906 hasConcept C185592680 @default.
• W3103167906 hasConcept C207467116 @default.
• W3103167906 hasConcept C2524010 @default.
• W3103167906 hasConcept C33923547 @default.
• W3103167906 hasConcept C37914503 @default.
• W3103167906 hasConcept C55493867 @default.
• W3103167906 hasConcept C62520636 @default.
• W3103167906 hasConcept C86339819 @default.
• W3103167906 hasConceptScore W3103167906C104317684 @default.
• W3103167906 hasConceptScore W3103167906C114614502 @default.
• W3103167906 hasConceptScore W3103167906C121332964 @default.
• W3103167906 hasConceptScore W3103167906C134306372 @default.
• W3103167906 hasConceptScore W3103167906C158448853 @default.
• W3103167906 hasConceptScore W3103167906C158693339 @default.
• W3103167906 hasConceptScore W3103167906C17020691 @default.
• W3103167906 hasConceptScore W3103167906C185592680 @default.
• W3103167906 hasConceptScore W3103167906C207467116 @default.
• W3103167906 hasConceptScore W3103167906C2524010 @default.
• W3103167906 hasConceptScore W3103167906C33923547 @default.
• W3103167906 hasConceptScore W3103167906C37914503 @default.
• W3103167906 hasConceptScore W3103167906C55493867 @default.
• W3103167906 hasConceptScore W3103167906C62520636 @default.
• W3103167906 hasConceptScore W3103167906C86339819 @default.
• W3103167906 hasIssue "6" @default.
• W3103167906 hasLocation W31031679061 @default.
• W3103167906 hasLocation W31031679062 @default.
• W3103167906 hasLocation W31031679063 @default.
• W3103167906 hasLocation W31031679064 @default.
• W3103167906 hasOpenAccess W3103167906 @default.
• W3103167906 hasPrimaryLocation W31031679061 @default.
• W3103167906 hasRelatedWork W1800020650 @default.
• W3103167906 hasRelatedWork W1982768333 @default.
• W3103167906 hasRelatedWork W2045892986 @default.
• W3103167906 hasRelatedWork W2360095388 @default.
• W3103167906 hasRelatedWork W2963794791 @default.
• W3103167906 hasRelatedWork W2964289859 @default.
• W3103167906 hasRelatedWork W2997515494 @default.
• W3103167906 hasRelatedWork W3006396109 @default.
• W3103167906 hasRelatedWork W3085325486 @default.

• next