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## Bleher, Pavel M.

Compute Distance To:
 Author ID: bleher.pavel-m Published as: Bleher, P.; Bleher, P. M.; Bleher, Pavel; Bleher, Pavel M. External Links: MGP · Wikidata · GND
 Documents Indexed: 87 Publications since 1969, including 4 Books
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#### Co-Authors

 21 single-authored 8 Liechty, Karl 7 Its, Alexander Rudolfovich 7 Kuijlaars, Arno B. J. 5 Dyson, Freeman John 5 Lebowitz, Joel Louis 5 Roeder, Roland K. W. 4 Shiffman, Bernard 4 Zagrebnov, Valentin A. 4 Zelditch, Steve 3 Deaño, Alfredo 3 Lyubich, Mikhail Yur’evich 3 Major, Peter 3 Ruiz, Jean 2 Basor, Estelle L. 2 Bothner, Thomas 2 Di, Xiaojun 2 Elwood, Brad 2 Homma, Youkow 2 Ji, Lyndon L. 2 Petrović, Dražen 2 Vishik, Marko Iosifovich 1 Aptekarev, Alexander Ivanovich 1 Bourgain, Jean 1 Buckingham, Robert J. 1 Cheng, Zheming 1 Delvaux, Steven 1 Eynard, Bertrand 1 Fokin, Vladimir V. 1 Grava, Tamara 1 Homma, Yushi 1 Its, Elizabeth N. 1 Keating, Jonathan P. 1 Kosygin, Denis V. 1 Mallison, Robert jun. 1 Ridzal, Denis 1 Schonmann, Roberto Henrique 1 Shen, Jeffrey D. 1 Shlosman, Senya B. 1 Silva, Guilherme L. F. 1 Sinaĭ, Yakov Grigor’evich 1 Speer, Eugene R. 1 Yattselev, Maxim L.
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#### Serials

 15 Communications in Mathematical Physics 11 Journal of Statistical Physics 7 IMRN. International Mathematics Research Notices 4 Communications on Pure and Applied Mathematics 3 Duke Mathematical Journal 2 Journal of Mathematical Physics 2 Acta Arithmetica 2 Annales de l’Institut Fourier 2 Mathematical Sciences Research Institute Publications 2 Random Matrices: Theory and Applications 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Reports on Mathematical Physics 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 The Annals of Probability 1 Inventiones Mathematicae 1 Memoirs of the American Mathematical Society 1 Constructive Approximation 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Mathematics of the USSR, Sbornik 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annals of Mathematics. Second Series 1 Physical Review Letters 1 Moscow Mathematical Journal 1 CRM Monograph Series 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Fields

 37 Statistical mechanics, structure of matter (82-XX) 30 Probability theory and stochastic processes (60-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 14 Number theory (11-XX) 13 Quantum theory (81-XX) 10 Functions of a complex variable (30-XX) 10 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

71 Publications have been cited 1,103 times in 718 Documents Cited by Year
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
1999
On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice. Zbl 1081.82515
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1995
Large $$n$$ limit of Gaussian random matrices with external source. II. Zbl 1129.82014
Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J.
2005
Random matrices with external source and multiple orthogonal polynomials. Zbl 1082.15035
Bleher, P. M.; Kuijlaars, A. B. J.
2004
Universality and scaling of correlations between zeros on complex manifolds. Zbl 0964.60096
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2000
Large $$n$$ limit of Gaussian random matrices with external source. III: Double scaling limit. Zbl 1126.82010
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2007
Large $$n$$ limit of Gaussian random matrices with external source. I. Zbl 1124.82309
Bleher, Pavel; Kuijlaars, Arno B. J.
2004
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
2003
Existence and positivity of solutions of a fourth-order nonlinear PDE describing interface fluctuations. Zbl 0806.35059
Bleher, Pavel M.; Lebowitz, Joel L.; Speer, Eugene R.
1994
Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon. Zbl 0925.82147
Bleher, P. M.
1992
Random matrix model with external source and a constrained vector equilibrium problem. Zbl 1206.60007
Bleher, P.; Delvaux, S.; Kuijlaars, A. B. J.
2011
Integral representations for multiple Hermite and multiple Laguerre polynomials. Zbl 1084.33008
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2005
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
2005
On the distribution of the number of lattice points inside a family of convex ovals. Zbl 0762.11031
Bleher, Pavel
1992
Exact solution of the six-vertex model with domain wall boundary conditions. Disordered phase. Zbl 1190.82014
Bleher, Pavel M.; Fokin, Vladimir V.
2006
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
1991
Distribution of the error term for the number of lattice points inside a shifted circle. Zbl 0781.11038
Bleher, Pavel M.; Cheng, Zheming; Dyson, Freeman J.; Lebowitz, Joel L.
1993
Random matrices and the six-vertex model. Zbl 1279.82001
Bleher, Pavel; Liechty, Karl
2014
Orthogonal polynomials in the normal matrix model with a cubic potential. Zbl 1250.42079
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2012
Exact solution of the six-vertex model with domain wall boundary conditions: antiferroelectric phase. Zbl 1192.82015
Bleher, Pavel; Liechty, Karl
2010
Universality and scaling of zeros on symplectic manifolds. Zbl 1129.58303
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2001
Topological expansion in the cubic random matrix model. Zbl 1314.60022
Bleher, Pavel M.; Deaño, Alfredo
2013
Lectures on random matrix models. The Riemann-Hilbert approach. Zbl 1252.15040
Bleher, Pavel M.
2011
Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase. Zbl 1173.82009
Bleher, Pavel; Liechty, Karl
2009
Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations. Zbl 1053.15017
Bleher, Pavel; Eynard, Bertrand
2003
Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059
Bleher, Pavel (ed.); Its, Alexander (ed.)
2001
Correlation between zeros of a random polynomial. Zbl 0939.60047
Bleher, Pavel; Di, Xiaojun
1997
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
1987
Counting zeros of harmonic rational functions and its application to gravitational lensing. Zbl 1329.85001
Bleher, Pavel M.; Homma, Youkow; Ji, Lyndon L.; Roeder, Roland K. W.
2014
Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between ferroelectric and disordered phases. Zbl 1165.82305
Bleher, Pavel; Liechty, Karl
2009
Rigidity of the critical phases on a Cayley tree. Zbl 0998.60022
Bleher, P.; Schonmann, R. H.; Shlosman, S.; Zagrebnov, V.
2001
Zeros of sections of exponential sums. Zbl 1110.30005
Bleher, Pavel; Mallison, Robert jun.
2006
Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011
Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland
2017
On the phase diagram of the random field Ising model on the Bethe lattice. Zbl 0963.82023
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1998
Distribution of energy levels of a quantum free particle on a surface of revolution. Zbl 0808.11059
Bleher, Pavel M.
1994
Correlations between zeros and supersymmetry. Zbl 0992.60097
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2001
Poincaré-Lelong approach to universality and scaling of correlations between zeros. Zbl 0956.32021
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2000
Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems. Zbl 0803.11052
Bleher, Pavel M.
1993
Quasi-classical expansions and the problem of quantum chaos. Zbl 0768.46042
Bleher, P. M.
1991
Six-vertex model with partial domain wall boundary conditions: ferroelectric phase. Zbl 1334.82077
Bleher, Pavel; Liechty, Karl
2015
Uniform asymptotics for discrete orthogonal polynomials with respect to varying exponential weights on a regular infinite lattice. Zbl 1213.33013
Bleher, Pavel; Liechty, Karl
2011
Correlation between zeros of non-Gaussian random polynomials. Zbl 1066.60052
Bleher, Pavel; Di, Xiaojun
2004
Painlevé I double scaling limit in the cubic random matrix model. Zbl 1339.30013
Bleher, Pavel; Deaño, Alfredo
2016
Construction of non-Gaussian self-similar random fields with hierarchical structure. Zbl 0515.60058
Bleher, P. M.
1982
The large-scale limit of Dyson’s hierarchical vector valued model at low temperatures. The non-Gaussian case. I: Limit theorem for the average spin. II: Description of the large-scale limit. Zbl 0669.60096
Bleher, P. M.; Major, P.
1988
Renormalization of Dyson’s hierarchical vector valued $$\Phi ^ 4$$ model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
1984
Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases. Zbl 1266.82026
Bleher, Pavel; Bothner, Thomas
2012
SU(1,1) random polynomials. Zbl 0998.60053
Bleher, Pavel; Ridzal, Denis
2002
Analytic continuation of massless Feynman amplitudes in the Schwartz space $${\mathcal S}'$$. Zbl 0557.46042
Bleher, P. M.
1984
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
2019
Domain wall six-vertex model with half-turn symmetry. Zbl 1391.82007
Bleher, Pavel; Liechty, Karl
2018
Exact solution of the classical dimer model on a triangular lattice: monomer-monomer correlations. Zbl 1377.82009
Basor, Estelle; Bleher, Pavel
2017
Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem. Zbl 0946.11520
Bleher, Pavel M.; Lebowitz, Joel L.
1994
Calculation of the constant factor in the six-vertex model. Zbl 1432.82009
Bleher, Pavel; Bothner, Thomas
2014
Nearest neighbor distances on a circle: Multidimensional case. Zbl 1237.81075
Bleher, Pavel M.; Homma, Youkow; Ji, Lyndon L.; Roeder, Roland K. W.; Shen, Jeffrey D.
2012
On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. Zbl 0928.33005
Bleher, Pavel; Its, Alexander
1999
One-dimensional random-field Ising model: Gibbs states and structure of ground states. Zbl 1081.82568
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1996
Distribution of the error term for the number of lattice points inside a shifted ball. Zbl 0866.11056
Bleher, P.; Bourgain, Jean
1996
Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae. Zbl 0842.58072
Bleher, Pavel M.; Kosygin, Denis V.; Sinai, Yakov G.
1995
Non-Gaussian energy level statistics for some integrable systems. Zbl 1050.81530
Bleher, Pavel M.; Dyson, Freeman J.; Lebowitz, Joel L.
1993
The mother body phase transition in the normal matrix model. Zbl 07213378
Bleher, Pavel M.; Silva, Guilherme L. F.
2020
Dimer model: full asymptotic expansion of the partition function. Zbl 1406.82005
Bleher, Pavel; Elwood, Brad; Petrović, Dražen
2018
The Pfaffian sign theorem for the dimer model on a triangular lattice. Zbl 1395.82037
Bleher, Pavel; Elwood, Brad; Petrović, Dražen
2018
Topological expansion in the complex cubic log-gas model: one-cut case. Zbl 1372.82015
Bleher, Pavel; Deaño, Alfredo; Yattselev, Maxim
2017
Two-point correlation functions and universality for the zeros of systems of $$\mathrm{SO}(n+1)$$-invariant Gaussian random polynomials. Zbl 1405.60069
Bleher, Pavel; Homma, Yushi; Roeder, Roland K. W.
2016
Trace formula for quantum integrable systems, lattice-point problem, and small divisors. Zbl 1045.11069
Bleher, Pavel
1999
Mean square limit for lattice points in a sphere. Zbl 0915.11047
Bleher, Pavel M.; Dyson, Freeman J.
1994
Mean square value of exponential sums related to representation of integers as sum of two squares. Zbl 0915.11048
Bleher, Pavel M.; Dyson, Freeman J.
1994
Semiclassical quantization rules near separatrices. Zbl 0812.58096
Bleher, Pavel M.
1994
On a class of pseudodifferential operators with an infinite number of variables, and applications. Zbl 0248.35109
Bleher, P. M.; Vishik, M. I.
1972
On operators depending meromorphically on a parameter. Zbl 0243.47010
Bleher, P. M.
1972
The mother body phase transition in the normal matrix model. Zbl 07213378
Bleher, Pavel M.; Silva, Guilherme L. F.
2020
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
2019
Domain wall six-vertex model with half-turn symmetry. Zbl 1391.82007
Bleher, Pavel; Liechty, Karl
2018
Dimer model: full asymptotic expansion of the partition function. Zbl 1406.82005
Bleher, Pavel; Elwood, Brad; Petrović, Dražen
2018
The Pfaffian sign theorem for the dimer model on a triangular lattice. Zbl 1395.82037
Bleher, Pavel; Elwood, Brad; Petrović, Dražen
2018
Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011
Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland
2017
Exact solution of the classical dimer model on a triangular lattice: monomer-monomer correlations. Zbl 1377.82009
Basor, Estelle; Bleher, Pavel
2017
Topological expansion in the complex cubic log-gas model: one-cut case. Zbl 1372.82015
Bleher, Pavel; Deaño, Alfredo; Yattselev, Maxim
2017
Painlevé I double scaling limit in the cubic random matrix model. Zbl 1339.30013
Bleher, Pavel; Deaño, Alfredo
2016
Two-point correlation functions and universality for the zeros of systems of $$\mathrm{SO}(n+1)$$-invariant Gaussian random polynomials. Zbl 1405.60069
Bleher, Pavel; Homma, Yushi; Roeder, Roland K. W.
2016
Six-vertex model with partial domain wall boundary conditions: ferroelectric phase. Zbl 1334.82077
Bleher, Pavel; Liechty, Karl
2015
Random matrices and the six-vertex model. Zbl 1279.82001
Bleher, Pavel; Liechty, Karl
2014
Counting zeros of harmonic rational functions and its application to gravitational lensing. Zbl 1329.85001
Bleher, Pavel M.; Homma, Youkow; Ji, Lyndon L.; Roeder, Roland K. W.
2014
Calculation of the constant factor in the six-vertex model. Zbl 1432.82009
Bleher, Pavel; Bothner, Thomas
2014
Topological expansion in the cubic random matrix model. Zbl 1314.60022
Bleher, Pavel M.; Deaño, Alfredo
2013
Orthogonal polynomials in the normal matrix model with a cubic potential. Zbl 1250.42079
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2012
Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases. Zbl 1266.82026
Bleher, Pavel; Bothner, Thomas
2012
Nearest neighbor distances on a circle: Multidimensional case. Zbl 1237.81075
Bleher, Pavel M.; Homma, Youkow; Ji, Lyndon L.; Roeder, Roland K. W.; Shen, Jeffrey D.
2012
Random matrix model with external source and a constrained vector equilibrium problem. Zbl 1206.60007
Bleher, P.; Delvaux, S.; Kuijlaars, A. B. J.
2011
Lectures on random matrix models. The Riemann-Hilbert approach. Zbl 1252.15040
Bleher, Pavel M.
2011
Uniform asymptotics for discrete orthogonal polynomials with respect to varying exponential weights on a regular infinite lattice. Zbl 1213.33013
Bleher, Pavel; Liechty, Karl
2011
Exact solution of the six-vertex model with domain wall boundary conditions: antiferroelectric phase. Zbl 1192.82015
Bleher, Pavel; Liechty, Karl
2010
Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase. Zbl 1173.82009
Bleher, Pavel; Liechty, Karl
2009
Exact solution of the six-vertex model with domain wall boundary conditions. Critical line between ferroelectric and disordered phases. Zbl 1165.82305
Bleher, Pavel; Liechty, Karl
2009
Large $$n$$ limit of Gaussian random matrices with external source. III: Double scaling limit. Zbl 1126.82010
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2007
Exact solution of the six-vertex model with domain wall boundary conditions. Disordered phase. Zbl 1190.82014
Bleher, Pavel M.; Fokin, Vladimir V.
2006
Zeros of sections of exponential sums. Zbl 1110.30005
Bleher, Pavel; Mallison, Robert jun.
2006
Large $$n$$ limit of Gaussian random matrices with external source. II. Zbl 1129.82014
Aptekarev, Alexander I.; Bleher, Pavel M.; Kuijlaars, Arno B. J.
2005
Integral representations for multiple Hermite and multiple Laguerre polynomials. Zbl 1084.33008
Bleher, Pavel M.; Kuijlaars, Arno B. J.
2005
Asymptotics of the partition function of a random matrix model. Zbl 1135.82016
Bleher, Pavel M.; Its, Alexander
2005
Random matrices with external source and multiple orthogonal polynomials. Zbl 1082.15035
Bleher, P. M.; Kuijlaars, A. B. J.
2004
Large $$n$$ limit of Gaussian random matrices with external source. I. Zbl 1124.82309
Bleher, Pavel; Kuijlaars, Arno B. J.
2004
Correlation between zeros of non-Gaussian random polynomials. Zbl 1066.60052
Bleher, Pavel; Di, Xiaojun
2004
Double scaling limit in the random matrix model: The Riemann-Hilbert approach. Zbl 1032.82014
Bleher, Pavel M.; Its, Alexander
2003
Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations. Zbl 1053.15017
Bleher, Pavel; Eynard, Bertrand
2003
SU(1,1) random polynomials. Zbl 0998.60053
Bleher, Pavel; Ridzal, Denis
2002
Universality and scaling of zeros on symplectic manifolds. Zbl 1129.58303
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2001
Random matrix models and their applications. Based on talks and lectures from the workshop, Berkeley, CA, USA, February 22–26, 1999. Zbl 0967.00059
Bleher, Pavel (ed.); Its, Alexander (ed.)
2001
Rigidity of the critical phases on a Cayley tree. Zbl 0998.60022
Bleher, P.; Schonmann, R. H.; Shlosman, S.; Zagrebnov, V.
2001
Correlations between zeros and supersymmetry. Zbl 0992.60097
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2001
Universality and scaling of correlations between zeros on complex manifolds. Zbl 0964.60096
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2000
Poincaré-Lelong approach to universality and scaling of correlations between zeros. Zbl 0956.32021
Bleher, Pavel; Shiffman, Bernard; Zelditch, Steve
2000
Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model. Zbl 0956.42014
Bleher, Pavel; Its, Alexander
1999
On asymptotic analysis of orthogonal polynomials via the Riemann-Hilbert method. Zbl 0928.33005
Bleher, Pavel; Its, Alexander
1999
Trace formula for quantum integrable systems, lattice-point problem, and small divisors. Zbl 1045.11069
Bleher, Pavel
1999
On the phase diagram of the random field Ising model on the Bethe lattice. Zbl 0963.82023
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1998
Correlation between zeros of a random polynomial. Zbl 0939.60047
Bleher, Pavel; Di, Xiaojun
1997
One-dimensional random-field Ising model: Gibbs states and structure of ground states. Zbl 1081.82568
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1996
Distribution of the error term for the number of lattice points inside a shifted ball. Zbl 0866.11056
Bleher, P.; Bourgain, Jean
1996
On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice. Zbl 1081.82515
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
1995
Distribution of energy levels of quantum free particle on the Liouville surface and trace formulae. Zbl 0842.58072
Bleher, Pavel M.; Kosygin, Denis V.; Sinai, Yakov G.
1995
Existence and positivity of solutions of a fourth-order nonlinear PDE describing interface fluctuations. Zbl 0806.35059
Bleher, Pavel M.; Lebowitz, Joel L.; Speer, Eugene R.
1994
Distribution of energy levels of a quantum free particle on a surface of revolution. Zbl 0808.11059
Bleher, Pavel M.
1994
Energy-level statistics of model quantum systems: Universality and scaling in a lattice-point problem. Zbl 0946.11520
Bleher, Pavel M.; Lebowitz, Joel L.
1994
Mean square limit for lattice points in a sphere. Zbl 0915.11047
Bleher, Pavel M.; Dyson, Freeman J.
1994
Mean square value of exponential sums related to representation of integers as sum of two squares. Zbl 0915.11048
Bleher, Pavel M.; Dyson, Freeman J.
1994
Semiclassical quantization rules near separatrices. Zbl 0812.58096
Bleher, Pavel M.
1994
Distribution of the error term for the number of lattice points inside a shifted circle. Zbl 0781.11038
Bleher, Pavel M.; Cheng, Zheming; Dyson, Freeman J.; Lebowitz, Joel L.
1993
Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems. Zbl 0803.11052
Bleher, Pavel M.
1993
Non-Gaussian energy level statistics for some integrable systems. Zbl 1050.81530
Bleher, Pavel M.; Dyson, Freeman J.; Lebowitz, Joel L.
1993
Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon. Zbl 0925.82147
Bleher, P. M.
1992
On the distribution of the number of lattice points inside a family of convex ovals. Zbl 0762.11031
Bleher, Pavel
1992
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
1991
Quasi-classical expansions and the problem of quantum chaos. Zbl 0768.46042
Bleher, P. M.
1991
The large-scale limit of Dyson’s hierarchical vector valued model at low temperatures. The non-Gaussian case. I: Limit theorem for the average spin. II: Description of the large-scale limit. Zbl 0669.60096
Bleher, P. M.; Major, P.
1988
Critical phenomena and universal exponents in statistical physics. On Dyson’s hierarchical model. Zbl 0628.60101
Bleher, P. M.; Major, P.
1987
Renormalization of Dyson’s hierarchical vector valued $$\Phi ^ 4$$ model at low temperatures. Zbl 0587.60098
Bleher, P. M.; Major, P.
1984
Analytic continuation of massless Feynman amplitudes in the Schwartz space $${\mathcal S}'$$. Zbl 0557.46042
Bleher, P. M.
1984
Construction of non-Gaussian self-similar random fields with hierarchical structure. Zbl 0515.60058
Bleher, P. M.
1982
On a class of pseudodifferential operators with an infinite number of variables, and applications. Zbl 0248.35109
Bleher, P. M.; Vishik, M. I.
1972
On operators depending meromorphically on a parameter. Zbl 0243.47010
Bleher, P. M.
1972
all top 5

#### Cited by 753 Authors

 38 Kuijlaars, Arno B. J. 34 Bleher, Pavel M. 24 Rozikov, Utkir A. 14 Erdős, László 14 Liechty, Karl 14 Xu, Shuaixia 14 Yau, Horng-Tzer 13 Bertola, Marco 13 Van Assche, Walter 12 Paoletti, Roberto 12 Zelditch, Steve 12 Zhao, Yuqiu 11 Claeys, Tom 10 Dai, Dan 10 Its, Alexander Rudolfovich 10 Mossel, Elchanan 9 Aptekarev, Alexander Ivanovich 9 Bothner, Thomas 9 Gao, Junyang 9 Martínez-Finkelshtein, Andrei 9 McLaughlin, Kenneth D. T.-R. 9 Wang, Dong 8 Adler, Mark 8 Delvaux, Steven 8 Duits, Maurice 8 Lee, Seung-Yeop 8 Lubinsky, Doron S. 8 van Moerbeke, Pierre 8 Yin, Jun 8 Zhang, Lun 7 Borodin, Alexei 7 Chen, Xiuqing 7 Grava, Tamara 7 Mo, Man Yue 7 Pronko, Andrei G. 7 Shiffman, Bernard 7 Silva, Guilherme L. F. 6 Baik, Jinho 6 Buckingham, Robert J. 6 Chen, Li 6 Deaño, Alfredo 6 Forrester, Peter J. 6 Haydarov, Farhod Halimjonovich 6 Martínez Alonso, Luis 6 Medina, Elena 6 Missarov, Moukadas D. 6 Peres, Yuval 5 Ameur, Yacin 5 Colomo, Filippo 5 Eshkabilov, Yusup Khalbaevich 5 Gandolfo, Daniel 5 Hardy, Adrien 5 Jüngel, Ansgar 5 Katori, Makoto 5 Khakimov, Otabek N. 5 Lee, Ji Oon 5 Liang, Bo 5 López Lagomasino, Guillermo Tomás 5 Major, Peter 5 Matthes, Daniel 5 Mukhamedov, Farruh Maksutovich 5 Qiao, Jianyong 5 Ruiz, Jean 5 Wielonsky, Franck 5 Wong, Roderick Sue-Chuen 4 Álvarez, Gabriel 4 Basor, Estelle L. 4 Bourgade, Paul 4 Charlier, Christophe 4 Corwin, Ivan 4 Eynard, Bertrand 4 Feng, Renjie 4 Fyodorov, Yan V. 4 Häggström, Olle 4 Khakimov, Rustamjon M. 4 Lebowitz, Joel Louis 4 Makarov, Nikolai Georgievich 4 Marinescu, George 4 Marklof, Jens 4 Pierce, Virgil U. 4 Roch, Sébastien 4 Roeder, Roland K. W. 4 Schehr, Grégory 4 Sly, Allan 4 Strahov, Eugene 4 Szász, Domokos 4 Tovbis, Alexander 4 Tracy, Craig Arnold 4 van Enter, Aernout C. D. 4 Widom, Harold 3 Akemann, Gernot 3 Bayraktar, Turgay 3 Bukal, Mario 3 Bunimovich, Leonid Abramovich 3 Chen, Yang 3 Chernov, Nikolai Ivanovich 3 Clarkson, Peter A. 3 Daems, Evi 3 Deift, Percy A. 3 Douglas, Michael R. ...and 653 more Authors
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#### Cited in 174 Serials

 80 Communications in Mathematical Physics 70 Journal of Statistical Physics 31 Journal of Mathematical Physics 28 Journal of Approximation Theory 20 Constructive Approximation 19 Advances in Mathematics 18 Communications on Pure and Applied Mathematics 18 The Annals of Probability 17 Theoretical and Mathematical Physics 16 Random Matrices: Theory and Applications 13 Journal of Mathematical Analysis and Applications 13 Duke Mathematical Journal 13 Probability Theory and Related Fields 12 Transactions of the American Mathematical Society 9 Physica D 9 Journal of Statistical Mechanics: Theory and Experiment 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Nuclear Physics. B 7 The Annals of Applied Probability 7 The Journal of Geometric Analysis 6 Journal d’Analyse Mathématique 6 Letters in Mathematical Physics 6 Journal of Computational and Applied Mathematics 6 Journal of Functional Analysis 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Mathematical Physics, Analysis and Geometry 6 Journal of High Energy Physics 6 Annales Henri Poincaré 6 Computational Methods and Function Theory 5 Israel Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Studies in Applied Mathematics 5 Stochastic Processes and their Applications 4 Reports on Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Number Theory 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Sciences (New York) 4 Analysis and Applications (Singapore) 3 Nonlinearity 3 Reviews in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Applied Mathematics and Computation 3 Memoirs of the American Mathematical Society 3 Transactions of the Moscow Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Journal of Theoretical Probability 3 International Journal of Mathematics 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Physical Review Letters 3 Nonlinear Analysis. Real World Applications 2 International Journal of Modern Physics B 2 Mathematical Notes 2 Bulletin of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Journal of Multivariate Analysis 2 Michigan Mathematical Journal 2 Ergodic Theory and Dynamical Systems 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Science in China. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 St. Petersburg Mathematical Journal 2 Integral Transforms and Special Functions 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Chaos 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Journal of the Institute of Mathematics of Jussieu 2 International Journal of Number Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Analysis and Mathematical Physics 2 Journal of Siberian Federal University. Mathematics & Physics 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Physics Reports 1 Problems of Information Transmission ...and 74 more Serials
all top 5

#### Cited in 54 Fields

 274 Probability theory and stochastic processes (60-XX) 269 Statistical mechanics, structure of matter (82-XX) 143 Linear and multilinear algebra; matrix theory (15-XX) 100 Special functions (33-XX) 95 Partial differential equations (35-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 78 Dynamical systems and ergodic theory (37-XX) 75 Functions of a complex variable (30-XX) 70 Quantum theory (81-XX) 55 Combinatorics (05-XX) 45 Ordinary differential equations (34-XX) 44 Number theory (11-XX) 38 Several complex variables and analytic spaces (32-XX) 36 Approximations and expansions (41-XX) 28 Operator theory (47-XX) 26 Global analysis, analysis on manifolds (58-XX) 26 Numerical analysis (65-XX) 23 Potential theory (31-XX) 23 Differential geometry (53-XX) 16 Statistics (62-XX) 13 Algebraic geometry (14-XX) 13 Fluid mechanics (76-XX) 11 Biology and other natural sciences (92-XX) 10 Real functions (26-XX) 9 Functional analysis (46-XX) 8 Relativity and gravitational theory (83-XX) 7 Convex and discrete geometry (52-XX) 6 Difference and functional equations (39-XX) 5 Nonassociative rings and algebras (17-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Field theory and polynomials (12-XX) 4 Measure and integration (28-XX) 4 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Integral transforms, operational calculus (44-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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