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## Sokal, Alan D.

Compute Distance To:
 Author ID: sokal.alan-d Published as: Sokal, A.; Sokal, A. D.; Sokal, Alan D. External Links: MGP · Wikidata · ORCID · GND
 Documents Indexed: 73 Publications since 1981, including 1 Book
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#### Co-Authors

 17 single-authored 12 Salas, Jesús 8 Caracciolo, Sergio 7 Fernández, Roberto 5 Pelissetto, Andrea 5 van Enter, Aernout C. D. 4 Scott, Alexander D. 4 Sportiello, Andrea 3 Jackson, Bill 3 Jacobsen, Jesper Lykke 2 Fallat, Shaun M. 2 Johnson, Charles Royal 2 Madras, Neal 2 Ossola, Giovanni 2 Royle, Gordon F. 2 Thomas, Lawrence E. 2 Wagner, David Gustav 1 Brown, Jason Ira 1 Cardy, John L. 1 Choe, Young-Bin 1 Cucchieri, Attilio 1 de la Rue, Thierry 1 Ferreira, Sabino José 1 Fröhlich, Jürg Martin 1 Garoni, Timothy M. 1 Guttmann, Anthony John 1 Hara, Takashi 1 Hickman, Carl A. 1 Jensen, Iwan 1 Kotecký, Roman 1 Lawler, Gregory Francis 1 Li, Bin 1 Li, Xiaojian 1 Mendes, Tereza 1 Oxley, James G. 1 Pétréolle, Mathias 1 Polin, Marco 1 Price, Andrew Elvey 1 Procacci, Aldo 1 Rogers, Andrew N. 1 Slade, Gordon 1 Starinets, Andrei O. 1 Swart, Jan M.
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#### Serials

 25 Journal of Statistical Physics 4 Journal of Combinatorial Theory. Series B 4 The Electronic Journal of Combinatorics 3 Combinatorics, Probability and Computing 2 American Mathematical Monthly 2 Nuclear Physics. B 2 Advances in Applied Mathematics 2 Linear Algebra and its Applications 2 Expositiones Mathematicae 2 Séminaire Lotharingien de Combinatoire 2 Markov Processes and Related Fields 2 Physical Review Letters 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Acta Mathematica 1 Advances in Mathematics 1 Bulletin de la Société Mathématique de France 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 European Journal of Combinatorics 1 SIAM Journal on Discrete Mathematics 1 Nuclear Physics, B, Proceedings Supplements 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Texts and Monographs in Physics
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#### Fields

 49 Statistical mechanics, structure of matter (82-XX) 29 Combinatorics (05-XX) 13 Probability theory and stochastic processes (60-XX) 12 Quantum theory (81-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 6 Integral transforms, operational calculus (44-XX) 5 Number theory (11-XX) 5 Numerical analysis (65-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Functional analysis (46-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

63 Publications have been cited 1,087 times in 832 Documents Cited by Year
Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory. Zbl 1101.82314
van Enter, Aernout C. D.; Fernández, Roberto; Sokal, Alan D.
1993
Bounds on the $$L^ 2$$ spectrum for Markov chains and Markov processes: A generalization of Cheeger’s inequality. Zbl 0716.60073
Lawler, Gregory F.; Sokal, Alan D.
1988
The multivariate Tutte polynomial (alias Potts model) for graphs and matroids. Zbl 1110.05020
Sokal, Alan D.
2005
Random walks, critical phenomena and triviality in quantum field theory. Zbl 0761.60061
Fernández, Roberto; Fröhlich, Jürg; Sokal, Alan D.
1992
Homogeneous multivariate polynomials with the half-plane property. Zbl 1054.05024
Choe, Young-Bin; Oxley, James G.; Sokal, Alan D.; Wagner, David G.
2004
The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma. Zbl 1107.82013
Scott, Alexander D.; Sokal, Alan D.
2005
Chromatic roots are dense in the whole complex plane. Zbl 1100.05040
Sokal, Alan D.
2004
Bounds on the complex zeros of (di)chromatic polynomials and Potts-model partition functions. Zbl 0999.82022
Sokal, Alan D.
2001
The pivot algorithm: a highly efficient Monte Carlo method for the self-avoiding walk. Zbl 1084.82503
1988
Monte Carlo methods in statistical mechanics: Foundations and new algorithms. Zbl 0890.65006
Sokal, A.
1997
Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem. Zbl 0935.82010
Salas, Jesús; Sokal, Alan D.
1997
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial. Zbl 1100.82509
Salas, Jesús; Sokal, Alan D.
2001
Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks. Zbl 1114.82303
Li, Bin; Madras, Neal; Sokal, Alan D.
1995
The leading root of the partial theta function. Zbl 1239.05018
Sokal, Alan D.
2012
Complex zero-free regions at large $$|q|$$ for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights. Zbl 1257.05068
Jackson, Bill; Procacci, Aldo; Sokal, Alan D.
2013
The Brown-Colbourn conjecture on zeros of reliability polynomials is false. Zbl 1052.05038
Royle, Gordon; Sokal, Alan D.
2004
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. III: Triangular-lattice chromatic polynomial. Zbl 1118.82303
Jacobsen, Jesper Lykke; Salas, Jesús; Sokal, Alan D.
2003
Exponential convergence to equilibrium for a class of random-walk models. Zbl 0668.60061
Sokal, Alan D.; Thomas, Lawrence E.
1989
Absence of mass gap for a class of stochastic contour models. Zbl 1086.60522
Sokal, Alan D.; Thomas, Lawrence E.
1988
Real-variables characterization of generalized Stieltjes functions. Zbl 1189.26012
Sokal, Alan D.
2010
Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities. Zbl 1192.15001
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2009
On dependency graphs and the lattice gas. Zbl 1138.05323
Scott, Alexander D.; Sokal, Alan D.
2006
Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D.
2017
A ridiculously simple and explicit implicit function theorem. Zbl 1182.30006
Sokal, Alan D.
2009
Zero-free regions for multivariate tutte polynomials (alias Potts-model partition functions) of graphs and matroids. Zbl 1221.05144
Jackson, Bill; Sokal, Alan D.
2009
A personal list of unsolved problems concerning lattice gases and antiferromagnetic Potts models. Zbl 0999.82021
Sokal, A. D.
2001
Existence of compatible families of proper regular conditional probabilities. Zbl 0443.60003
Sokal, Alan D.
1981
Grassmann integral representation for spanning hyperforests. Zbl 1155.05049
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2007
On the chromatic roots of generalized theta graphs. Zbl 1023.05057
Brown, Jason I.; Hickman, Carl; Sokal, Alan D.; Wagner, David G.
2001
New lower bounds on the self-avoiding-walk connective constant. Zbl 1100.82513
Hara, Takashi; Slade, Gordon; Sokal, Alan D.
1993
Nonlocal Monte Carlo algorithm for self-avoiding walks with fixed endpoints. Zbl 1086.82549
Caracciolo, Sergio; Pelissetto, Andrea; Sokal, Alan D.
1990
Universal amplitude ratios in the critical two-dimensional Ising model on a torus. Zbl 0991.82011
Salas, Jesús; Sokal, Alan D.
2000
Antiferromagnetic Potts models on the square lattice: A high-precision Monte Carlo study. Zbl 0962.82038
Ferreira, Sabino José; Sokal, Alan D.
1999
Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians. Zbl 1277.05012
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2013
Spanning forests and the $$q$$-state Potts model in the limit $$q \to 0$$. Zbl 1122.82008
Jacobsen, Jesper Lykke; Salas, Jesús; Sokal, Alan D.
2005
Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model. Zbl 0945.82522
Salas, Jesús; Sokal, Alan D.
1997
A general limitation on Monte Carlo algorithms of Metropolis type. Zbl 0973.65500
Caracciolo, Sergio; Pelissetto, Andrea; Sokal, Alan D.
1994
Regularity properties and pathologies of position-space renormalization-group transformations. Zbl 0957.82506
van Enter, Aernout C. D.; Fernández, Roberto; Sokal, Alan D.
1991
Complete monotonicity for inverse powers of some combinatorially defined polynomials. Zbl 1304.05074
Scott, Alexander D.; Sokal, Alan D.
2014
Dynamic critical behavior of the Chayes-Machta algorithm for the random-cluster model. I: Two dimensions. Zbl 1227.82026
Garoni, Timothy M.; Ossola, Giovanni; Polin, Marco; Sokal, Alan D.
2011
A really simple elementary proof of the uniform boundedness theorem. Zbl 1223.46022
Sokal, Alan D.
2011
Pathologies of the large-$$N$$ limit for $$\mathbb{RP}^{N-1}$$, $$\mathbb{CP}^{N-1}$$, $$\mathbb{QP}^{N-1}$$ and mixed isovector/isotensor $$\sigma$$-models. Zbl 0997.81073
Sokal, A. D.; Starinets, A. O.
2001
The three-state square-lattice Potts antiferromagnet at zero temperature. Zbl 1079.82532
Salas, Jesús; Sokal, Alan D.
1998
Dynamical critical behavior of the Swendson-Wang algorithm: The two-dimensional three-state Potts model revisited. Zbl 0937.82028
Salas, Jesús; Sokal, Alan D.
1997
Dynamical critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. Zbl 0937.82026
Salas, Jesús; Sokal, Alan D.
1996
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models. Zbl 1296.82013
Kotecký, Roman; Sokal, Alan D.; Swart, Jan M.
2014
Correction-to-scaling exponents for two-dimensional self-avoiding walks. Zbl 1093.82008
Caracciolo, Sergio; Guttmann, Anthony J.; Jensen, Iwan; Pelissetto, Andrea; Rogers, Andrew N.; Sokal, Alan D.
2005
Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model. Zbl 1109.82329
Ossola, Giovanni; Sokal, Alan D.
2004
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions. Zbl 1246.82025
Salas, Jesús; Sokal, Alan D.
2011
Some variants of the exponential formula, with application to the multivariate Tutte polynomial (alias Potts model). Zbl 1283.05138
Scott, Alexander D.; Sokal, Alan D.
2009
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial. Zbl 1179.82040
Salas, Jesús; Sokal, Alan D.
2009
Continuum limits and exact finite-size-scaling functions for one-dimensional $$O(N)$$-invariant spin models. Zbl 0937.82006
Cucchieri, Attilio; Mendes, Tereza; Pelisetto, Andrea; Sokal, Alan D.
1997
Bosonic algorithms. Zbl 0937.81007
Sokal, Alan D.
1992
The Euler and Springer numbers as moment sequences. Zbl 1445.05011
Sokal, Alan D.
2020
Spanning forests and $$\mathrm{OSP}(N|2M)$$-invariant $$\sigma$$-models. Zbl 1365.81100
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2017
Linear bound in terms of maxmaxflow for the chromatic roots of series-parallel graphs. Zbl 1323.05071
Royle, Gordon F.; Sokal, Alan D.
2015
When is a Riesz distribution a complex measure? Zbl 1263.43003
Sokal, Alan D.
2011
Maxmaxflow and counting subgraphs. Zbl 1230.05175
Jackson, Bill; Sokal, Alan D.
2010
Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice. Zbl 1045.82007
Cardy, John; Jacobsen, Jesper Lykke; Sokal, Alan D.
2001
How to generalize (and not to generalize) the Chu-Vandermonde identity. Zbl 1429.05017
Sokal, Alan D.
2020
How to clean a dirty floor: probabilistic potential theory and the Dobrushin uniqueness theorem. Zbl 1157.60081
de la Rue, T.; Fernández, R.; Sokal, A. D.
2008
Renormalization transformations: Source of examples and problems in probability and statistics. Zbl 0849.60095
van Enter, A. C. D.; Fernández, R.; Sokal, A. D.
1994
Rigorous lower bound on the dynamic critical exponent of some multilevel Swendsen-Wang algorithms. Zbl 0990.82523
Li, Xiao-Jian; Sokal, Alan D.
1991
The Euler and Springer numbers as moment sequences. Zbl 1445.05011
Sokal, Alan D.
2020
How to generalize (and not to generalize) the Chu-Vandermonde identity. Zbl 1429.05017
Sokal, Alan D.
2020
Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D.
2017
Spanning forests and $$\mathrm{OSP}(N|2M)$$-invariant $$\sigma$$-models. Zbl 1365.81100
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2017
Linear bound in terms of maxmaxflow for the chromatic roots of series-parallel graphs. Zbl 1323.05071
Royle, Gordon F.; Sokal, Alan D.
2015
Complete monotonicity for inverse powers of some combinatorially defined polynomials. Zbl 1304.05074
Scott, Alexander D.; Sokal, Alan D.
2014
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models. Zbl 1296.82013
Kotecký, Roman; Sokal, Alan D.; Swart, Jan M.
2014
Complex zero-free regions at large $$|q|$$ for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights. Zbl 1257.05068
Jackson, Bill; Procacci, Aldo; Sokal, Alan D.
2013
Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians. Zbl 1277.05012
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2013
The leading root of the partial theta function. Zbl 1239.05018
Sokal, Alan D.
2012
Dynamic critical behavior of the Chayes-Machta algorithm for the random-cluster model. I: Two dimensions. Zbl 1227.82026
Garoni, Timothy M.; Ossola, Giovanni; Polin, Marco; Sokal, Alan D.
2011
A really simple elementary proof of the uniform boundedness theorem. Zbl 1223.46022
Sokal, Alan D.
2011
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions. Zbl 1246.82025
Salas, Jesús; Sokal, Alan D.
2011
When is a Riesz distribution a complex measure? Zbl 1263.43003
Sokal, Alan D.
2011
Real-variables characterization of generalized Stieltjes functions. Zbl 1189.26012
Sokal, Alan D.
2010
Maxmaxflow and counting subgraphs. Zbl 1230.05175
Jackson, Bill; Sokal, Alan D.
2010
Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities. Zbl 1192.15001
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2009
A ridiculously simple and explicit implicit function theorem. Zbl 1182.30006
Sokal, Alan D.
2009
Zero-free regions for multivariate tutte polynomials (alias Potts-model partition functions) of graphs and matroids. Zbl 1221.05144
Jackson, Bill; Sokal, Alan D.
2009
Some variants of the exponential formula, with application to the multivariate Tutte polynomial (alias Potts model). Zbl 1283.05138
Scott, Alexander D.; Sokal, Alan D.
2009
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial. Zbl 1179.82040
Salas, Jesús; Sokal, Alan D.
2009
How to clean a dirty floor: probabilistic potential theory and the Dobrushin uniqueness theorem. Zbl 1157.60081
de la Rue, T.; Fernández, R.; Sokal, A. D.
2008
Grassmann integral representation for spanning hyperforests. Zbl 1155.05049
Caracciolo, Sergio; Sokal, Alan D.; Sportiello, Andrea
2007
On dependency graphs and the lattice gas. Zbl 1138.05323
Scott, Alexander D.; Sokal, Alan D.
2006
The multivariate Tutte polynomial (alias Potts model) for graphs and matroids. Zbl 1110.05020
Sokal, Alan D.
2005
The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma. Zbl 1107.82013
Scott, Alexander D.; Sokal, Alan D.
2005
Spanning forests and the $$q$$-state Potts model in the limit $$q \to 0$$. Zbl 1122.82008
Jacobsen, Jesper Lykke; Salas, Jesús; Sokal, Alan D.
2005
Correction-to-scaling exponents for two-dimensional self-avoiding walks. Zbl 1093.82008
Caracciolo, Sergio; Guttmann, Anthony J.; Jensen, Iwan; Pelissetto, Andrea; Rogers, Andrew N.; Sokal, Alan D.
2005
Homogeneous multivariate polynomials with the half-plane property. Zbl 1054.05024
Choe, Young-Bin; Oxley, James G.; Sokal, Alan D.; Wagner, David G.
2004
Chromatic roots are dense in the whole complex plane. Zbl 1100.05040
Sokal, Alan D.
2004
The Brown-Colbourn conjecture on zeros of reliability polynomials is false. Zbl 1052.05038
Royle, Gordon; Sokal, Alan D.
2004
Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model. Zbl 1109.82329
Ossola, Giovanni; Sokal, Alan D.
2004
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. III: Triangular-lattice chromatic polynomial. Zbl 1118.82303
Jacobsen, Jesper Lykke; Salas, Jesús; Sokal, Alan D.
2003
Bounds on the complex zeros of (di)chromatic polynomials and Potts-model partition functions. Zbl 0999.82022
Sokal, Alan D.
2001
Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial. Zbl 1100.82509
Salas, Jesús; Sokal, Alan D.
2001
A personal list of unsolved problems concerning lattice gases and antiferromagnetic Potts models. Zbl 0999.82021
Sokal, A. D.
2001
On the chromatic roots of generalized theta graphs. Zbl 1023.05057
Brown, Jason I.; Hickman, Carl; Sokal, Alan D.; Wagner, David G.
2001
Pathologies of the large-$$N$$ limit for $$\mathbb{RP}^{N-1}$$, $$\mathbb{CP}^{N-1}$$, $$\mathbb{QP}^{N-1}$$ and mixed isovector/isotensor $$\sigma$$-models. Zbl 0997.81073
Sokal, A. D.; Starinets, A. O.
2001
Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice. Zbl 1045.82007
Cardy, John; Jacobsen, Jesper Lykke; Sokal, Alan D.
2001
Universal amplitude ratios in the critical two-dimensional Ising model on a torus. Zbl 0991.82011
Salas, Jesús; Sokal, Alan D.
2000
Antiferromagnetic Potts models on the square lattice: A high-precision Monte Carlo study. Zbl 0962.82038
Ferreira, Sabino José; Sokal, Alan D.
1999
The three-state square-lattice Potts antiferromagnet at zero temperature. Zbl 1079.82532
Salas, Jesús; Sokal, Alan D.
1998
Monte Carlo methods in statistical mechanics: Foundations and new algorithms. Zbl 0890.65006
Sokal, A.
1997
Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem. Zbl 0935.82010
Salas, Jesús; Sokal, Alan D.
1997
Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model. Zbl 0945.82522
Salas, Jesús; Sokal, Alan D.
1997
Dynamical critical behavior of the Swendson-Wang algorithm: The two-dimensional three-state Potts model revisited. Zbl 0937.82028
Salas, Jesús; Sokal, Alan D.
1997
Continuum limits and exact finite-size-scaling functions for one-dimensional $$O(N)$$-invariant spin models. Zbl 0937.82006
Cucchieri, Attilio; Mendes, Tereza; Pelisetto, Andrea; Sokal, Alan D.
1997
Dynamical critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. Zbl 0937.82026
Salas, Jesús; Sokal, Alan D.
1996
Critical exponents, hyperscaling, and universal amplitude ratios for two- and three-dimensional self-avoiding walks. Zbl 1114.82303
Li, Bin; Madras, Neal; Sokal, Alan D.
1995
A general limitation on Monte Carlo algorithms of Metropolis type. Zbl 0973.65500
Caracciolo, Sergio; Pelissetto, Andrea; Sokal, Alan D.
1994
Renormalization transformations: Source of examples and problems in probability and statistics. Zbl 0849.60095
van Enter, A. C. D.; Fernández, R.; Sokal, A. D.
1994
Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory. Zbl 1101.82314
van Enter, Aernout C. D.; Fernández, Roberto; Sokal, Alan D.
1993
New lower bounds on the self-avoiding-walk connective constant. Zbl 1100.82513
Hara, Takashi; Slade, Gordon; Sokal, Alan D.
1993
Random walks, critical phenomena and triviality in quantum field theory. Zbl 0761.60061
Fernández, Roberto; Fröhlich, Jürg; Sokal, Alan D.
1992
Bosonic algorithms. Zbl 0937.81007
Sokal, Alan D.
1992
Regularity properties and pathologies of position-space renormalization-group transformations. Zbl 0957.82506
van Enter, Aernout C. D.; Fernández, Roberto; Sokal, Alan D.
1991
Rigorous lower bound on the dynamic critical exponent of some multilevel Swendsen-Wang algorithms. Zbl 0990.82523
Li, Xiao-Jian; Sokal, Alan D.
1991
Nonlocal Monte Carlo algorithm for self-avoiding walks with fixed endpoints. Zbl 1086.82549
Caracciolo, Sergio; Pelissetto, Andrea; Sokal, Alan D.
1990
Exponential convergence to equilibrium for a class of random-walk models. Zbl 0668.60061
Sokal, Alan D.; Thomas, Lawrence E.
1989
Bounds on the $$L^ 2$$ spectrum for Markov chains and Markov processes: A generalization of Cheeger’s inequality. Zbl 0716.60073
Lawler, Gregory F.; Sokal, Alan D.
1988
The pivot algorithm: a highly efficient Monte Carlo method for the self-avoiding walk. Zbl 1084.82503
1988
Absence of mass gap for a class of stochastic contour models. Zbl 1086.60522
Sokal, Alan D.; Thomas, Lawrence E.
1988
Existence of compatible families of proper regular conditional probabilities. Zbl 0443.60003
Sokal, Alan D.
1981
all top 5

#### Cited by 1,111 Authors

 30 Sokal, Alan D. 19 Brändén, Petter 19 Külske, Christof 16 van Enter, Aernout C. D. 13 Brown, Jason Ira 13 Pelissetto, Andrea 13 Procacci, Aldo 11 Caracciolo, Sergio 11 Slade, Gordon 10 Fernández, Roberto 10 Salas, Jesús 9 Goldberg, Leslie Ann 9 Jacobsen, Jesper Lykke 9 Kostov, Vladimir Petrov 8 Chen, Mu-Fa 8 Makowsky, Johann-Andreas 8 Martinelli, Fabio 8 Olivieri, Enzo 8 Randall, Dana J. 8 Roberts, Gareth O. 7 Csikvári, Péter 7 Jerrum, Mark R. 7 Le Ny, Arnaud 7 Lopes, Artur Oscar 7 Moffatt, Iain 7 Regts, Guus 7 Sportiello, Andrea 7 Vicari, Ettore 6 Albeverio, Sergio A. 6 Borcea, Julius 6 Redig, Frank 6 Sinclair, Alistair 6 Wagner, David Gustav 5 Biskup, Marek 5 Cioletti, Leandro Martins 5 Hara, Takashi 5 Janse van Rensburg, Esaias J. 5 Kummer, Mario Denis 5 Peres, Yuval 5 Shrock, Robert E. 5 Spohn, Herbert 4 Baraviera, Alexandre Tavares 4 Bezáková, Ivona 4 Biggs, Norman L. 4 Bissacot, Rodrigo 4 Borgs, Christian 4 Bricmont, Jean 4 Chang, Shu-Chiuan 4 Chayes, Jennifer Tour 4 Chorin, Alexandre Joel 4 Deng, Youjin 4 Domański, Pawel Jan 4 Dyer, Martin E. 4 Erey, Aysel 4 Garoni, Timothy M. 4 Jahnel, Benedikt 4 Jalsenius, Markus 4 Kennedy, Tom 4 Kotecký, Roman 4 Kupiainen, Antti 4 Langenbruch, Michael 4 Lebowitz, Joel Louis 4 Madras, Neal 4 Maes, Christian 4 Mao, Yonghua 4 Marinari, Enzo 4 Miclo, Laurent 4 Orlandini, Enzo 4 Patel, Viresh 4 Pedersen, Henrik Laurberg 4 Ravve, Elena V. 4 Rosenthal, Jeffrey S. 4 Ruszel, Wioletta Magdalena 4 Scoppola, Benedetto 4 Thomas, Lawrence E. 4 Vigoda, Eric 4 Welsh, Dominic J. A. 3 Abdesselam, Abdelmalek 3 Barvinok, Alexander I. 3 Bauerschmidt, Roland 3 Bhatnagar, Nayantara 3 Bonamy, Marthe 3 Bousquet, Nicolas 3 Camia, Federico 3 Chazottes, Jean-René 3 Choe, Young-Bin 3 Cirillo, Emilio Nicola Maria 3 Cuneo, Noé 3 Desai, Madhav P. 3 Deuschel, Jean-Dominique 3 Dong, Fengming 3 Ellis-Monaghan, Joanna A. 3 Feghali, Carl 3 Fernández, Luis Antonio 3 Frieze, Alan Michael 3 Garijo, Delia 3 Gluzman, Simon 3 Hasenbusch, Martin 3 Helmuth, Tyler 3 Hubai, Tamás ...and 1,011 more Authors
all top 5

#### Cited in 215 Serials

 135 Journal of Statistical Physics 40 Communications in Mathematical Physics 21 Nuclear Physics. B 21 European Journal of Combinatorics 21 Stochastic Processes and their Applications 19 Discrete Mathematics 17 Journal of Mathematical Physics 17 The Annals of Applied Probability 17 Journal of Statistical Mechanics: Theory and Experiment 16 Combinatorics, Probability and Computing 15 Advances in Mathematics 15 Advances in Applied Mathematics 14 The Annals of Probability 14 Journal of Combinatorial Theory. Series B 12 Journal of Mathematical Analysis and Applications 12 Journal of High Energy Physics 11 Probability Theory and Related Fields 11 Linear Algebra and its Applications 10 Random Structures & Algorithms 9 Journal of Combinatorial Theory. Series A 7 Journal of Physics A: Mathematical and Theoretical 6 Ergodic Theory and Dynamical Systems 6 Annals of Combinatorics 5 Advances in Applied Probability 5 Discrete Applied Mathematics 5 Physica A 5 Physics Reports 5 Journal of Geometry and Physics 5 Journal of Functional Analysis 5 SIAM Journal on Computing 5 Graphs and Combinatorics 5 Annals of Physics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Annales Henri Poincaré 4 Journal of Applied Probability 4 Transactions of the American Mathematical Society 4 Journal of Theoretical Probability 4 Mathematical Programming. Series A. Series B 4 The Electronic Journal of Combinatorics 4 Journal of Mathematical Chemistry 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 LMS Journal of Computation and Mathematics 4 Stochastics and Dynamics 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 International Journal of Theoretical Physics 3 Letters in Mathematical Physics 3 Reviews in Mathematical Physics 3 The Annals of Statistics 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of Algebra 3 Combinatorica 3 Algorithmica 3 Information and Computation 3 Bulletin of the American Mathematical Society. New Series 3 Acta Mathematica Sinica. New Series 3 Chinese Science Bulletin 3 Journal of Algebraic Combinatorics 3 Acta Mathematica Sinica. English Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal of Modern Physics A 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Information Processing Letters 2 Journal of Computational Physics 2 Theoretical and Mathematical Physics 2 Applied Mathematics and Computation 2 Functional Analysis and its Applications 2 Journal of Graph Theory 2 Michigan Mathematical Journal 2 Networks 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Physica D 2 Journal of Complexity 2 Constructive Approximation 2 Statistical Science 2 SIAM Journal on Discrete Mathematics 2 Computational Geometry 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Knot Theory and its Ramifications 2 Computational Complexity 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Electronic Communications in Probability 2 Bernoulli 2 Discrete and Continuous Dynamical Systems 2 Theory of Computing Systems 2 Annals of Mathematics. Second Series 2 Brazilian Journal of Probability and Statistics 2 Physical Review Letters 2 Foundations of Computational Mathematics 2 Computational Methods and Function Theory 2 Journal of Discrete Algorithms 2 Proceedings of the Steklov Institute of Mathematics 2 Frontiers of Mathematics in China 2 Optimization Letters 2 Algebraic Combinatorics ...and 115 more Serials
all top 5

#### Cited in 56 Fields

 342 Statistical mechanics, structure of matter (82-XX) 262 Combinatorics (05-XX) 250 Probability theory and stochastic processes (60-XX) 75 Quantum theory (81-XX) 58 Numerical analysis (65-XX) 56 Computer science (68-XX) 45 Dynamical systems and ergodic theory (37-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 30 Number theory (11-XX) 30 Functions of a complex variable (30-XX) 29 Statistics (62-XX) 24 Convex and discrete geometry (52-XX) 23 Partial differential equations (35-XX) 22 Algebraic geometry (14-XX) 22 Operator theory (47-XX) 20 Real functions (26-XX) 20 Functional analysis (46-XX) 17 Operations research, mathematical programming (90-XX) 15 Special functions (33-XX) 14 Integral transforms, operational calculus (44-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Information and communication theory, circuits (94-XX) 12 Commutative algebra (13-XX) 12 Manifolds and cell complexes (57-XX) 10 Approximations and expansions (41-XX) 10 Relativity and gravitational theory (83-XX) 9 Associative rings and algebras (16-XX) 8 Field theory and polynomials (12-XX) 8 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Measure and integration (28-XX) 7 Biology and other natural sciences (92-XX) 6 Abstract harmonic analysis (43-XX) 6 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Algebraic topology (55-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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