FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3124967166> ?p ?o ?g. }

• W3124967166 endingPage "130" @default.
• W3124967166 startingPage "103" @default.
• W3124967166 abstract "These notes provide an introduction to the theory of random matrices. The central quantity studied is $tau(a)= det(1-K)$ where $K$ is the integral operator with kernel $1/pi} {sinpi(x-y)over x-y} chi_I(y)$. Here $I=bigcup_j(a_{2j-1},a_{2j})$ and $chi_I(y)$ is the characteristic function of the set $I$. In the Gaussian Unitary Ensemble (GUE) the probability that no eigenvalues lie in $I$ is equal to $tau(a)$. Also $tau(a)$ is a tau-function and we present a new simplified derivation of the system of nonlinear completely integrable equations (the $a_j$'s are the independent variables) that were first derived by Jimbo, Miwa, M{^o}ri, and Sato in 1980. In the case of a single interval these equations are reducible to a Painlev{'e} V equation. For large $s$ we give an asymptotic formula for $E_2(n;s)$, which is the probability in the GUE that exactly $n$ eigenvalues lie in an interval of length $s$." @default.
• W3124967166 created "2021-02-01" @default.
• W3124967166 creator A5011123024 @default.
• W3124967166 creator A5079682496 @default.
• W3124967166 date "2005-11-13" @default.
• W3124967166 modified "2023-09-25" @default.
• W3124967166 title "Introduction to random matrices" @default.
• W3124967166 cites W126109759 @default.
• W3124967166 cites W1532632375 @default.
• W3124967166 cites W1644159847 @default.
• W3124967166 cites W18961980 @default.
• W3124967166 cites W1925539550 @default.
• W3124967166 cites W1978280564 @default.
• W3124967166 cites W1987143739 @default.
• W3124967166 cites W1987148403 @default.
• W3124967166 cites W2006118563 @default.
• W3124967166 cites W2011223128 @default.
• W3124967166 cites W2014931551 @default.
• W3124967166 cites W2017465632 @default.
• W3124967166 cites W2027708852 @default.
• W3124967166 cites W2032150295 @default.
• W3124967166 cites W2038547964 @default.
• W3124967166 cites W2046859918 @default.
• W3124967166 cites W2049587182 @default.
• W3124967166 cites W2063278194 @default.
• W3124967166 cites W2063688661 @default.
• W3124967166 cites W2074367171 @default.
• W3124967166 cites W2077191608 @default.
• W3124967166 cites W2082142453 @default.
• W3124967166 cites W2082220709 @default.
• W3124967166 cites W2088680200 @default.
• W3124967166 cites W2090897133 @default.
• W3124967166 cites W2093282424 @default.
• W3124967166 cites W2138554348 @default.
• W3124967166 cites W2150458450 @default.
• W3124967166 cites W2477829615 @default.
• W3124967166 cites W63181531 @default.
• W3124967166 doi "https://doi.org/10.1007/bfb0021444" @default.
• W3124967166 hasPublicationYear "2005" @default.
• W3124967166 type Work @default.
• W3124967166 sameAs 3124967166 @default.
• W3124967166 citedByCount "53" @default.
• W3124967166 countsByYear W31249671662012 @default.
• W3124967166 countsByYear W31249671662013 @default.
• W3124967166 countsByYear W31249671662014 @default.
• W3124967166 countsByYear W31249671662015 @default.
• W3124967166 countsByYear W31249671662016 @default.
• W3124967166 countsByYear W31249671662017 @default.
• W3124967166 countsByYear W31249671662019 @default.
• W3124967166 countsByYear W31249671662020 @default.
• W3124967166 countsByYear W31249671662022 @default.
• W3124967166 crossrefType "book-chapter" @default.
• W3124967166 hasAuthorship W3124967166A5011123024 @default.
• W3124967166 hasAuthorship W3124967166A5079682496 @default.
• W3124967166 hasBestOaLocation W31249671662 @default.
• W3124967166 hasConcept C104317684 @default.
• W3124967166 hasConcept C114614502 @default.
• W3124967166 hasConcept C121332964 @default.
• W3124967166 hasConcept C134306372 @default.
• W3124967166 hasConcept C138885662 @default.
• W3124967166 hasConcept C158448853 @default.
• W3124967166 hasConcept C158693339 @default.
• W3124967166 hasConcept C163716315 @default.
• W3124967166 hasConcept C17020691 @default.
• W3124967166 hasConcept C185592680 @default.
• W3124967166 hasConcept C200741047 @default.
• W3124967166 hasConcept C202444582 @default.
• W3124967166 hasConcept C2778067643 @default.
• W3124967166 hasConcept C2780813799 @default.
• W3124967166 hasConcept C33923547 @default.
• W3124967166 hasConcept C37914503 @default.
• W3124967166 hasConcept C41895202 @default.
• W3124967166 hasConcept C55493867 @default.
• W3124967166 hasConcept C62520636 @default.
• W3124967166 hasConcept C64812099 @default.
• W3124967166 hasConcept C74193536 @default.
• W3124967166 hasConcept C86339819 @default.
• W3124967166 hasConceptScore W3124967166C104317684 @default.
• W3124967166 hasConceptScore W3124967166C114614502 @default.
• W3124967166 hasConceptScore W3124967166C121332964 @default.
• W3124967166 hasConceptScore W3124967166C134306372 @default.
• W3124967166 hasConceptScore W3124967166C138885662 @default.
• W3124967166 hasConceptScore W3124967166C158448853 @default.
• W3124967166 hasConceptScore W3124967166C158693339 @default.
• W3124967166 hasConceptScore W3124967166C163716315 @default.
• W3124967166 hasConceptScore W3124967166C17020691 @default.
• W3124967166 hasConceptScore W3124967166C185592680 @default.
• W3124967166 hasConceptScore W3124967166C200741047 @default.
• W3124967166 hasConceptScore W3124967166C202444582 @default.
• W3124967166 hasConceptScore W3124967166C2778067643 @default.
• W3124967166 hasConceptScore W3124967166C2780813799 @default.
• W3124967166 hasConceptScore W3124967166C33923547 @default.
• W3124967166 hasConceptScore W3124967166C37914503 @default.
• W3124967166 hasConceptScore W3124967166C41895202 @default.
• W3124967166 hasConceptScore W3124967166C55493867 @default.
• W3124967166 hasConceptScore W3124967166C62520636 @default.
• W3124967166 hasConceptScore W3124967166C64812099 @default.
• W3124967166 hasConceptScore W3124967166C74193536 @default.

• next