Determinantal random point fields

DMCA

Determinantal random point fields (2000)

Cached

Download Links

by Alexander Soshnikov

Venue:	RUSSIAN MATH. SURVEYS
Citations:	180 - 6 self

Citations

5185	Convergence of Probability Measures - Billingsley - 1968
3275	An Introduction to Probability Theory and its Applications, Vol. I, third edition - Feller - 1968
1198	Enumerative combinatorics - Stanley - 1999
840	An Introduction to Orthogonal Polynomials - Chihara - 1978
794	An Introduction to the Theory of Point Processes - Daley, Vere-Jones - 1988
747	Symmetric functions and - Macdonald - 1995
661	Introduction to the Theory of Linear Nonselfadjoint Operators - Gohberg, Krein - 1969
559	The Classical Groups, Their Invariants and Representations, - Weyl - 1986
526	Orthogonal polynomials and random matrices: a Riemann-Hilbert approach - Deift - 1999
494	On the distribution of the length of the longest increasing subsequence of random permutations - Baik, Deift, et al. - 1999
429	H.: Level-spacing distributions and the Airy kernel - Tracy, Widom - 1994
422	Trace Ideals and their Applications - SIMON - 1979
369	The classical moment problem and some related questions in analysis - Akhiezer - 1965
368	The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions - Sagan - 2001
358	Ergodic Theory - Sinăı
342	Strong asymptotics of polynomials orthogonal with respect to Freud weights - Kriecherbauer, McLaughlin - 1999
336	Statistical theory of the energy levels of complex systems - Dyson - 1962
253	Ergodic Theory - Cornfeld, Fomin, et al. - 1982
248	Independent and Stationary Sequences of Random Variables - Ibragimov, Linnik - 1971
230	Random Matrices, Frobenius Eigenvalues and Monodromy - Katz, Sarnak - 1999
215	Foundations of the theory of probability - Kolmogorov - 1950
189	Discrete orthogonal polynomial ensembles and the Plancherel measure - Johansson
183	Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem’, - Aldous, Diaconis - 1999
178	Asymptotics of Plancherel measures for symmetric groups, - Borodin, Okounkov, et al. - 2000
169	Random matrices, 2nd ed - Mehta - 1991
166	Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model - Bleher, Its - 1999
159	The spectral edge of random matrix ensembles - Forrester - 1994
150	at the edge of the spectrum in Wigner random matrices, Commun - Soshnikov - 1999
147	The classical moment problem as a self-adjoint finite difference operator - Simon - 1998
142	Fredholm determinants, differential equations and matrix models - Tracy, Widom - 1994
141	Statistical ensembles of complex, quaternion and real matrices - Ginibre - 1965
133	Correlation functions, cluster functions, and spacing distributions for random matrices,” - Tracy, Widom - 1998
118	On the eigenvalues of random matrices - Diaconis, Shahshahani - 1994
102	Harmonic analysis on the infinite symmetric group: a deformation of regular representation,” - Kerov, Olshanski, et al. - 1993
97	The coincidence approach to stochastic point processes. - Macchi - 1975
93	Methods of modern mathematical physics. Vols - Reed, Simon - 1972
85	Algebraic aspects of increasing subsequences - Baik, Rains
83	Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles, - Pastur, Shcherbina - 1997
70	Distributions on partitions, point processes and the hypergeometric kernel - Borodin, Olshanski
66	States of classical statistical mechanical systems of infinitely many particles. - Lenard - 1975
65	On the distributions of the lengths of the longest monotone subsequences in random words”, Prob. Th. Rel. Fields 119 - Tracy, Widom - 2001
65	Gaussian fluctuation in random matrices - Costin, Lebowitz - 1995
61	On the distribution of the length of the second row of a Young disgram under Plancherel measure. - Baik, Deift, et al. - 2000
60	The asymptotics of monotone subsequences of involutions - Baik, Rains
59	Moerbeke: The spectrum of coupled random matrices, - Adler, van - 1999
59	Universal distributions for growth processes in 1+1 dimensions and random - Prähofer, Spohn - 1999
56	Interacting Brownian particles: a study of Dyson’s model. In Hydrodynamic behavior and interacting particle systems - Spohn - 1986
54	Level spacing distribution and the Bessel kernel - Tracy, Widom - 1994
51	Central limit theorems for local linear statistics in classical compact groups and related combinatorial identities. - Soshnikov - 2000
49	Point processes and the infinite symmetric group - Borodin, Olshanski - 1998
48	Correlation functions and the uniqueness of the state in classical statistical mechanics, - Lenard - 1973
48	On random matrices from the compact classical groups - Johansson - 1997
41	Charge deficiency, charge transport and comparison of dimensions. - Avron, Seiler, et al. - 1994
39	Statistical self-similarity of one-dimensional growth processes - Prahofer, Spohn - 2000
38	Momentum distribution in the ground state of the one-dimensional system of impenetrable bosons - Lenard - 1964
38	Matrices coupled in a chain. - Eynard, Mehta - 1998
37	z-measures on partitions, Robinson-Schensted-Knuth correspondence, and β = 2 random matrix ensembles. Random matrix models and their - Borodin, Olshanski - 2001
31	Private Communication - Francsics, Lax
28	Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. - Soshnikov - 2000
25	Exponential ensemble for random matrices - Bronk - 1965
24	Longest increasing subsequences of random colored permutations. - Borodin - 1999
24	Random words, quantum statistics, central limits, random matrices,” Methods - Kuperberg - 2002
23	Level-spacing distributions and the Bessel kernel - Tracy, Widom - 1994
20	Level spacings distribution for large random matrices: Gaussian fluctuations - Soshnikov - 1998
19	Spectrum of large random asymmetric matrices - Sommers, Crisanti, et al. - 1988
19	Infinite wedge and measures on partitions, - Okounkov - 2001
10	Exact results for the two-dimensional one-component plasma - Jancovici - 1981
10	Classical Coulomb systems near a plane wall - Jancovici - 1982
10	Random unitary matrices, permutations and - Tracy, Widom - 1999
8	One-dimensional impenetrable bosons in thermal equilibrium - Lenard - 1966
8	Almost-Hermitian random matrices: crossover from Wigner-Dyson to Ginibre eigenvalue statistics - Fyodorov, Khoruzhenko, et al. - 1997
8	The Symmetric Group, Brooks/Cole Publ - Sagan - 1991
7	The electrical double layer: A solvable model - Cornu, Jancovici - 1989
6	On the two-dimensional Coulomb gas - Cornu, Jancovici - 1987
6	H.-J.: Universality in the random matrix spectra in the regime of weak non-Hermiticity - Fyodorov, Khoruzhenko, et al. - 1998
5	Young tableaux, Cambridge Univ - Fulton - 1997
3	Two-dimensional one-component plasma in a quadrupolar field - Forrester, Jancovici - 1996
3	Correlations in two–component log–gas systems - Alastuey, Forrester - 1995
3	172–185; English transl.: Theory Probab - Veroyatnost - 1959
3	Universality of local eigenvalue correlations in certain Hermitian Wigner matrices, preprint - Johansson - 1998
2	J.L.: The two-dimensional one-component plasma in an inhomogeneous background: exact results - Alastuey, Lebowitz - 1984
2	Critical isotherm of a lattice plasma - Gaudin - 1985
2	Symmetrized random permutations. http://xxx.lanl.gov/abs/math.CO/9910019, to appear - Baik, Rains
1	wave-functions, Coulomb gases and expansionsof the discriminant”, Internat - Francesco, Gaudin, et al.
1	Two-dimensional Coulomb systems – A larger class of colvable models, Europhys - Cornu, Jancovici - 1988
1	On the average distance between particles in the 2-dimensional 2-component plasma - Forrester, Jancovici - 1992
1	Level spacingsdistribution for large random matrices: Gaussian fluctuations - Soshnikov - 1998
1	640–651; English transl - Veroyatnost - 1985
1	Level-spacing distributionsand the Airy kernel - Tracy, Widom - 1994
1	Semiclassicalasymptotics of orthogonal polynomials, Riemann–Hilbert problem and universality in the matrix model - Bleher, Its - 1999
1	Shape fluctuations and random matrices”, http://xxx.lanl.gov/abs/ math/9903134 - Johansson
1	Random words, Toeplitz determinantsand integrable systems - Its, Tracy, et al.
1	Random matrices and random permutations”, http://xxx.lanl.gov/ abs/math/9903176 - Okounkov
1	Random unitary matrices, permutationsand Painlevé - Tracy, Widom - 1999
1	Ch] [CFS] [CJ1] [CJ2] [CJ3 - Phys - 1965
1	FKS1] [FKS2] [Ga - Fulton, Tableaux - 1997
1	Critical isoterm of a lattice plasma - Gaudin - 1985
1	Introduction to the theory of linear non-self adjoint operators - Appl - 1986
1	Independent and Stationary Random Variables, Wolters-Noordhoff - Linnik - 1971
1	Correlation functions, cluster functions and spacing distribution for random matrices - Stanley - 1999