The importance of the Selberg integral

Peter J. Forrester, S. Ole Warnaar

Type: Preprint

Publication Date: 2007-01-01

Citations: 26

DOI: https://doi.org/10.48550/arxiv.0710.3981

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The importance of the Selberg integral	2008	Peter J. Forrester S. Ole Warnaar
+ PDF Chat	Selberg integral theory and Muttalib–Borodin ensembles	2017	Peter J. Forrester J. R. Ipsen
+ PDF Chat	Determinantal Structure and Bulk Universality of Conditional Overlaps in the Complex Ginibre Ensemble	2020	Gernot Akemann Roger Tribe Athanasios Tsareas Oleg Zaboronski
+	Selberg Integrals, Super hypergeometric functions and Applications to $β$-Ensembles of Random Matrices	2011	Patrick Desrosiers Dang-Zheng Liu
+	Painlevé transcendents	2015	Alexander Its
+	On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review with an Invitation to Experimental Mathematics	2009	Folkmar Bornemann
+	Selberg integral theory and Muttalib--Borodin ensembles	2016	Peter J. Forrester J. R. Ipsen
+	Selberg Integrals, Super hypergeometric functions and Applications to $\beta$-Ensembles of Random Matrices	2011	Patrick Desrosiers Dang-Zheng Liu
+ PDF Chat	Selberg integrals, super-hypergeometric functions and applications to β-ensembles of random matrices	2015	Patrick Desrosiers Dang-Zheng Liu
+	The Selberg-Arthur Trace Formula	1992	Salahoddin Shokranian
+	Determinant formula for Selberg-type integrals	1992	Alexander Varchenko
+	The Selberg Trace Formula	2013
+	The Selberg Trace Formula	2008
+	The Selberg Trace Formula	1996
+	Selberg Integrals	2004	Alexander Varchenko
+	A path integral approach to sparse non-Hermitian random matrices	2023	Joseph W. Baron
+	Selberg Integrals	2004	Alexander Varchenko
+	On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review	2009	Folkmar Bornemann
+ PDF Chat	Harold Widom’s work in random matrix theory	2022	Ivan Corwin Percy Deift Alexander Its
+	Selberg integrals of Alba–Fateev–Litvinov–Tarnopolsky type	2020	Seamus P. Albion

Works That Cite This (25)

Action	Title	Year	Authors
+	Virasoro irregular conformal block and beta deformed random matrix model	2015	Sang Kwan Choi Chaiho Rim Hong Zhang
+	Knot Homology from Refined Chern-Simons Theory	2011	Mina Aganagic Shamil Shakirov
+	The dth linear polarization constant of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:math>	2008	Y. J. Leung Wenbo V. Li Rakesh Rakesh
+ PDF Chat	q-deformations of two-dimensional Yang–Mills theory: Classification, categorification and refinement	2013	Richard J. Szabo Miguel Tierz
+	Toeplitz minors and specializations of skew Schur polynomials	2020	David García-García Miguel Tierz
+ PDF Chat	2d–4d connection between q-Virasoro/W block at root of unity limit and instanton partition function on ALE space	2013	H. Itoyama Takeshi Oota R. Yoshioka
+	Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models	2018	Clay Córdova Ben Heidenreich A. Popolitov Shamil Shakirov
+ PDF Chat	Schur expansion of random-matrix reproducing kernels	2021	Leonardo Santilli Miguel Tierz
+ PDF Chat	Classical Virasoro irregular conformal block II	2015	Chaiho Rim Hong Zhang
+ PDF Chat	Elliptic Hypergeometry of Supersymmetric Dualities	2011	V. P. Spiridonov G. S. Vartanov

Works Cited by This (49)

Action	Title	Year	Authors
+	A Proof of the Q-Macdonald-Morris Conjecture for Bcn	1994	Kevin W. J. Kadell
+	None	1998	Kazuhiko Aomoto
+	Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains	1963	Hua Li
+	On a theta product formula for the symmetric A-type connection function	1995	Kazuhiko Aomoto
+ PDF Chat	Another 𝑞-extension of the beta function	1981	George E. Andrews Richard Askey
+	Random Matrix Theory and L-Functions at s = 1/2	2000	Jonathan P. Keating N. C. Snaith
+	Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials	1985	Richard Askey James Wilson
+ PDF Chat	Certain hypergeometric series related to the root system 𝐵𝐶	1993	R. J. Beerends Eric Opdam
+	Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews	1980	Richard Askey
+	A Proof of Some <i>q</i>-Analogues of Selberg’s Integral for $k=1$	1988	Kevin W. J. Kadell