×

zbMATH — the first resource for mathematics

Aizenman, Michael

Compute Distance To:
Author ID: aizenman.michael Recent zbMATH articles by "Aizenman, Michael"
Published as: Aizenman, M.; Aizenman, Michael
Homepage: https://www.princeton.edu/~aizenman/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 83 Publications since 1975, including 2 Books
Biographic References: 2 Publications

Publications by Year

Citations contained in zbMATH

72 Publications have been cited 2,434 times in 1,610 Documents Cited by Year
Localization at large disorder and at extreme energies: an elementary derivation. Zbl 0782.60044
Aizenman, Michael; Molchanov, Stanislav
210
1993
Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069
Aizenman, M.; Simon, B.
183
1982
Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models. Zbl 1084.82514
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M.
122
1988
Sharpness of the phase transition in percolation models. Zbl 0618.60098
Aizenman, Michael; Barsky, David J.
120
1987
Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II. Zbl 0533.58034
Aizenman, Michael
107
1982
Localization at weak disorder: some elementary bounds. Zbl 0843.47039
Aizenman, Michael
98
1994
Metastability effects in bootstrap percolation. Zbl 0656.60106
Aizenman, M.; Lebowitz, J. L.
86
1988
Tree graph inequalities and critical behavior in percolation models. Zbl 0586.60096
Aizenman, Michael; Newman, Charles M.
79
1984
Finite-volume fractional-moment criteria for Anderson localization. Zbl 1038.82038
Aizenman, Michael; Schenker, Jeffrey H.; Friedrich, Roland M.; Hundertmark, Dirk
73
2001
Rounding effects of quenched randomness on first-order phase transitions. Zbl 0714.60090
Aizenman, Michael; Wehr, Jan
71
1990
Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312
Aizenman, M.; Lebowitz, J. L.; Ruelle, D.
66
1987
Random operators. Disorder effects on quantum spectra and dynamics. Zbl 1333.82001
Aizenman, Michael; Warzel, Simone
62
2015
Convergence to equilibrium in a system of reacting polymers. Zbl 0458.76062
Aizenman, Michael; Bak, Thor A.
62
1979
On the stability of the quenched state in mean-field spin-glass models. Zbl 0963.82045
Aizenman, M.; Contucci, P.
60
1998
Moment analysis for localization in random Schrödinger operators. Zbl 1090.81026
Aizenman, Michael; Elgart, Alexander; Naboko, Serguei; Schenker, Jeffrey H.; Stolz, Gunter
57
2006
Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Zbl 0642.60102
Aizenman, M.; Kesten, H.; Newman, C. M.
55
1987
Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models. Zbl 0613.60097
Aizenman, M.; Newman, C. M.
54
1986
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
53
1998
On the critical behavior of the magnetization in high-dimensional Ising models. Zbl 0629.60106
Aizenman, M.; Fernández, R.
48
1986
Hölder regularity and dimension bounds for random curves. Zbl 0944.60022
Aizenman, M.; Burchard, A.
46
1999
Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs. Zbl 1169.82007
Aizenman, Michael; Sims, Robert; Warzel, Simone
45
2006
Geometric aspects of quantum spin states. Zbl 0799.58087
Aizenman, Michael; Nachtergaele, Bruno
44
1994
On a sharp transition from area law to perimeter law in a system of random surfaces. Zbl 0529.60099
Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L.
44
1983
Localization bounds for multiparticle systems. Zbl 1186.82055
Aizenman, Michael; Warzel, Simone
37
2009
Percolation critical exponents under the triangle condition. Zbl 0747.60093
Barsky, D. J.; Aizenman, M.
37
1991
On the structure of quasi-stationary competing particle systems. Zbl 1177.60050
Arguin, Louis-Pierre; Aizenman, Michael
35
2009
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
32
2015
Resonant delocalization for random Schrödinger operators on tree graphs. Zbl 1267.47064
Aizenman, Michael; Warzel, Simone
32
2013
Characterization of invariant measures at the leading edge for competing particle systems. Zbl 1096.60042
Ruzmaikina, Anastasia; Aizenman, Michael
31
2005
Absolutely continuous spectra of quantum tree graphs with weak disorder. Zbl 1233.34009
Aizenman, Michael; Sims, Robert; Warzel, Simone
27
2006
On the number of incipient spanning clusters. Zbl 0925.82112
Aizenman, Michael
26
1997
Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime. Zbl 0621.60118
Aizenman, M.; Holley, R.
25
1987
The Canophy graph and level statistics for random operators on trees. Zbl 1138.47032
Aizenman, Michael; Warzel, Simone
21
2006
Fluctuations of extensive functions of quenched random couplings. Zbl 0718.60129
Wehr, Jan; Aizenman, Michael
20
1990
On vector fields as generators of flows: A counterexample to Nelson’s conjecture. Zbl 0394.28012
Aizenman, Michael
20
1978
The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory. Zbl 0573.60076
Aizenman, Michael
18
1985
The creation of spectral gaps by graph decoration. Zbl 0990.47006
Schenker, Jeffrey H.; Aizenman, Michael
17
2000
Bose-Einstein condensation as a quantum phase transition in an optical lattice. Zbl 1170.82325
Aizenman, M.; Lieb, E. H.; Seiringer, R.; Solovej, J. P.; Yngvason, J.
16
2006
Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs. Zbl 1278.81090
Aizenman, Michael; Warzel, Simone
15
2012
Scaling limits for minimal and random spanning trees in two dimensions. Zbl 0939.60031
Aizenman, Michael; Burchard, Almut; Newman, Charles M.; Wilson, David B.
15
1999
On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020
Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone
12
2009
Mean-field spin glass models from the cavity-ROSt perspective. Zbl 1175.82033
Aizenman, Michael; Sims, Robert; Starr, Shannon L.
12
2007
Critical exponents for long-range interactions. Zbl 0658.60136
Aizenman, Michael; Fernández, Roberto
12
1988
Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit. Zbl 0391.60097
Aizenman, Michael; Goldstein, Sheldon; Lebowitz, Joel L.
12
1978
Scaling limit for the incipient spanning clusters. Zbl 0941.74013
Aizenman, Michael
11
1998
On the slow decay of \(O(2)\) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model. Zbl 0838.60096
Aizenman, Michael
10
1994
Precolation of the minority spins in high-dimensional Ising models. Zbl 0960.82503
Aizenman, M.; Bricmont, J.; Lebowitz, J. L.
9
1987
Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems. Zbl 0999.82030
Aizenman, M.; Goldstein, S.; Lebowitz, J. L.
8
2001
A sufficient condition for the avoidance of sets by measure preserving flows in \(\mathbb R^ n\). Zbl 0471.28015
Aizenman, Michael
8
1978
Ergodic properties of an infinite one dimensional hard rod system. Zbl 0352.60073
Aizenman, Michael; Goldstein, Sheldon; Lebowitz, Joel L.
8
1975
On the ubiquity of the Cauchy distribution in spectral problems. Zbl 1330.60042
Aizenman, Michael; Warzel, Simone
7
2015
Resonances and partial delocalization on the complete graph. Zbl 1329.81192
Aizenman, Michael; Shamis, Mira; Warzel, Simone
6
2015
Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems. Zbl 1290.82014
Aizenman, Michael; Greenblatt, Rafael L.; Lebowitz, Joel L.
6
2012
On the critical behavior at the lower phase transition of the contact process. Zbl 1160.60332
Aizenman, Michael; Jung, Paul
5
2007
Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs. Zbl 1111.82022
Aizenman, Michael; Sims, Robert; Warzel, Simone
5
2006
Ergodic properties of infinite systems. Zbl 0316.28008
Goldstein, Sheldon; Lebowitz, Joel L.; Aizenman, Michael
5
1975
On the joint distribution of energy levels of random Schrödinger operators. Zbl 1156.47037
Aizenman, Michael; Warzel, Simone
4
2009
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
3
2019
Symmetry breaking in quasi-1D Coulomb systems. Zbl 1209.82025
Aizenman, Michael; Jansen, Sabine; Jung, Paul
3
2010
Complete dynamical localization in disordered quantum multi-particle systems. Zbl 1205.82089
Aizenman, Michael; Warzel, Simone
3
2010
Exponential decay of correlations in the \(2D\) random field Ising model. Zbl 07239465
Aizenman, Michael; Harel, Matan; Peled, Ron
2
2020
Persistence under weak disorder of AC spectra of quasi-periodic Schrödinger operators on trees graphs. Zbl 1124.47027
Aizenman, M.; Warzel, S.
2
2005
Rigorous studies of critical behavior. II. Zbl 0662.60114
Aizenman, Michael
2
1985
Positive linear maps which are order bounded on \(C^*\) subalgebras. Zbl 0397.46058
Aizenman, Michael; Davies, E. Brian; Lieb, Elliott H.
2
1978
A power-law upper bound on the correlations in the 2D random field Ising model. Zbl 1447.82005
Aizenman, Michael; Peled, Ron
1
2019
Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function. Zbl 1405.82006
Aizenman, Michael; Warzel, Simone
1
2018
Pfaffian correlation functions of planar dimer covers. Zbl 1360.82016
Aizenman, Michael; Valcázar, Manuel Laínz; Warzel, Simone
1
2017
Matrix regularizing effects of Gaussian perturbations. Zbl 1360.60012
Aizenman, Michael; Peled, Ron; Schenker, Jeffrey; Shamis, Mira; Sodin, Sasha
1
2017
Boosted Simon-Wolff spectral criterion and resonant delocalization. Zbl 1387.47025
Aizenman, Michael; Warzel, Simone
1
2016
General results in percolation theory. Zbl 0639.60099
Aizenman, Michael
1
1987
Rigorous studies of critical behavior. Zbl 0667.60102
Aizenman, Michael
1
1986
Stochastic geometry in statistical mechanics and quantum field theory. Zbl 0564.60012
Aizenman, Michael
1
1984
Exponential decay of correlations in the \(2D\) random field Ising model. Zbl 07239465
Aizenman, Michael; Harel, Matan; Peled, Ron
2
2020
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
3
2019
A power-law upper bound on the correlations in the 2D random field Ising model. Zbl 1447.82005
Aizenman, Michael; Peled, Ron
1
2019
Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function. Zbl 1405.82006
Aizenman, Michael; Warzel, Simone
1
2018
Pfaffian correlation functions of planar dimer covers. Zbl 1360.82016
Aizenman, Michael; Valcázar, Manuel Laínz; Warzel, Simone
1
2017
Matrix regularizing effects of Gaussian perturbations. Zbl 1360.60012
Aizenman, Michael; Peled, Ron; Schenker, Jeffrey; Shamis, Mira; Sodin, Sasha
1
2017
Boosted Simon-Wolff spectral criterion and resonant delocalization. Zbl 1387.47025
Aizenman, Michael; Warzel, Simone
1
2016
Random operators. Disorder effects on quantum spectra and dynamics. Zbl 1333.82001
Aizenman, Michael; Warzel, Simone
62
2015
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
32
2015
On the ubiquity of the Cauchy distribution in spectral problems. Zbl 1330.60042
Aizenman, Michael; Warzel, Simone
7
2015
Resonances and partial delocalization on the complete graph. Zbl 1329.81192
Aizenman, Michael; Shamis, Mira; Warzel, Simone
6
2015
Resonant delocalization for random Schrödinger operators on tree graphs. Zbl 1267.47064
Aizenman, Michael; Warzel, Simone
32
2013
Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs. Zbl 1278.81090
Aizenman, Michael; Warzel, Simone
15
2012
Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems. Zbl 1290.82014
Aizenman, Michael; Greenblatt, Rafael L.; Lebowitz, Joel L.
6
2012
Symmetry breaking in quasi-1D Coulomb systems. Zbl 1209.82025
Aizenman, Michael; Jansen, Sabine; Jung, Paul
3
2010
Complete dynamical localization in disordered quantum multi-particle systems. Zbl 1205.82089
Aizenman, Michael; Warzel, Simone
3
2010
Localization bounds for multiparticle systems. Zbl 1186.82055
Aizenman, Michael; Warzel, Simone
37
2009
On the structure of quasi-stationary competing particle systems. Zbl 1177.60050
Arguin, Louis-Pierre; Aizenman, Michael
35
2009
On Bernoulli decompositions for random variables, concentration bounds, and spectral localization. Zbl 1152.60020
Aizenman, Michael; Germinet, François; Klein, Abel; Warzel, Simone
12
2009
On the joint distribution of energy levels of random Schrödinger operators. Zbl 1156.47037
Aizenman, Michael; Warzel, Simone
4
2009
Mean-field spin glass models from the cavity-ROSt perspective. Zbl 1175.82033
Aizenman, Michael; Sims, Robert; Starr, Shannon L.
12
2007
On the critical behavior at the lower phase transition of the contact process. Zbl 1160.60332
Aizenman, Michael; Jung, Paul
5
2007
Moment analysis for localization in random Schrödinger operators. Zbl 1090.81026
Aizenman, Michael; Elgart, Alexander; Naboko, Serguei; Schenker, Jeffrey H.; Stolz, Gunter
57
2006
Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs. Zbl 1169.82007
Aizenman, Michael; Sims, Robert; Warzel, Simone
45
2006
Absolutely continuous spectra of quantum tree graphs with weak disorder. Zbl 1233.34009
Aizenman, Michael; Sims, Robert; Warzel, Simone
27
2006
The Canophy graph and level statistics for random operators on trees. Zbl 1138.47032
Aizenman, Michael; Warzel, Simone
21
2006
Bose-Einstein condensation as a quantum phase transition in an optical lattice. Zbl 1170.82325
Aizenman, M.; Lieb, E. H.; Seiringer, R.; Solovej, J. P.; Yngvason, J.
16
2006
Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs. Zbl 1111.82022
Aizenman, Michael; Sims, Robert; Warzel, Simone
5
2006
Characterization of invariant measures at the leading edge for competing particle systems. Zbl 1096.60042
Ruzmaikina, Anastasia; Aizenman, Michael
31
2005
Persistence under weak disorder of AC spectra of quasi-periodic Schrödinger operators on trees graphs. Zbl 1124.47027
Aizenman, M.; Warzel, S.
2
2005
Finite-volume fractional-moment criteria for Anderson localization. Zbl 1038.82038
Aizenman, Michael; Schenker, Jeffrey H.; Friedrich, Roland M.; Hundertmark, Dirk
73
2001
Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems. Zbl 0999.82030
Aizenman, M.; Goldstein, S.; Lebowitz, J. L.
8
2001
The creation of spectral gaps by graph decoration. Zbl 0990.47006
Schenker, Jeffrey H.; Aizenman, Michael
17
2000
Hölder regularity and dimension bounds for random curves. Zbl 0944.60022
Aizenman, M.; Burchard, A.
46
1999
Scaling limits for minimal and random spanning trees in two dimensions. Zbl 0939.60031
Aizenman, Michael; Burchard, Almut; Newman, Charles M.; Wilson, David B.
15
1999
On the stability of the quenched state in mean-field spin-glass models. Zbl 0963.82045
Aizenman, M.; Contucci, P.
60
1998
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
53
1998
Scaling limit for the incipient spanning clusters. Zbl 0941.74013
Aizenman, Michael
11
1998
On the number of incipient spanning clusters. Zbl 0925.82112
Aizenman, Michael
26
1997
Localization at weak disorder: some elementary bounds. Zbl 0843.47039
Aizenman, Michael
98
1994
Geometric aspects of quantum spin states. Zbl 0799.58087
Aizenman, Michael; Nachtergaele, Bruno
44
1994
On the slow decay of \(O(2)\) correlations in the absence of topological excitations: Remark on the Patrascioiu-Seiler model. Zbl 0838.60096
Aizenman, Michael
10
1994
Localization at large disorder and at extreme energies: an elementary derivation. Zbl 0782.60044
Aizenman, Michael; Molchanov, Stanislav
210
1993
Percolation critical exponents under the triangle condition. Zbl 0747.60093
Barsky, D. J.; Aizenman, M.
37
1991
Rounding effects of quenched randomness on first-order phase transitions. Zbl 0714.60090
Aizenman, Michael; Wehr, Jan
71
1990
Fluctuations of extensive functions of quenched random couplings. Zbl 0718.60129
Wehr, Jan; Aizenman, Michael
20
1990
Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models. Zbl 1084.82514
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M.
122
1988
Metastability effects in bootstrap percolation. Zbl 0656.60106
Aizenman, M.; Lebowitz, J. L.
86
1988
Critical exponents for long-range interactions. Zbl 0658.60136
Aizenman, Michael; Fernández, Roberto
12
1988
Sharpness of the phase transition in percolation models. Zbl 0618.60098
Aizenman, Michael; Barsky, David J.
120
1987
Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312
Aizenman, M.; Lebowitz, J. L.; Ruelle, D.
66
1987
Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Zbl 0642.60102
Aizenman, M.; Kesten, H.; Newman, C. M.
55
1987
Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime. Zbl 0621.60118
Aizenman, M.; Holley, R.
25
1987
Precolation of the minority spins in high-dimensional Ising models. Zbl 0960.82503
Aizenman, M.; Bricmont, J.; Lebowitz, J. L.
9
1987
General results in percolation theory. Zbl 0639.60099
Aizenman, Michael
1
1987
Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models. Zbl 0613.60097
Aizenman, M.; Newman, C. M.
54
1986
On the critical behavior of the magnetization in high-dimensional Ising models. Zbl 0629.60106
Aizenman, M.; Fernández, R.
48
1986
Rigorous studies of critical behavior. Zbl 0667.60102
Aizenman, Michael
1
1986
The intersection of Brownian paths as a case study of a renormalization group method for quantum field theory. Zbl 0573.60076
Aizenman, Michael
18
1985
Rigorous studies of critical behavior. II. Zbl 0662.60114
Aizenman, Michael
2
1985
Tree graph inequalities and critical behavior in percolation models. Zbl 0586.60096
Aizenman, Michael; Newman, Charles M.
79
1984
Stochastic geometry in statistical mechanics and quantum field theory. Zbl 0564.60012
Aizenman, Michael
1
1984
On a sharp transition from area law to perimeter law in a system of random surfaces. Zbl 0529.60099
Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L.
44
1983
Brownian motion and Harnack inequality for Schrödinger operators. Zbl 0459.60069
Aizenman, M.; Simon, B.
183
1982
Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II. Zbl 0533.58034
Aizenman, Michael
107
1982
Convergence to equilibrium in a system of reacting polymers. Zbl 0458.76062
Aizenman, Michael; Bak, Thor A.
62
1979
On vector fields as generators of flows: A counterexample to Nelson’s conjecture. Zbl 0394.28012
Aizenman, Michael
20
1978
Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit. Zbl 0391.60097
Aizenman, Michael; Goldstein, Sheldon; Lebowitz, Joel L.
12
1978
A sufficient condition for the avoidance of sets by measure preserving flows in \(\mathbb R^ n\). Zbl 0471.28015
Aizenman, Michael
8
1978
Positive linear maps which are order bounded on \(C^*\) subalgebras. Zbl 0397.46058
Aizenman, Michael; Davies, E. Brian; Lieb, Elliott H.
2
1978
Ergodic properties of an infinite one dimensional hard rod system. Zbl 0352.60073
Aizenman, Michael; Goldstein, Sheldon; Lebowitz, Joel L.
8
1975
Ergodic properties of infinite systems. Zbl 0316.28008
Goldstein, Sheldon; Lebowitz, Joel L.; Aizenman, Michael
5
1975
all top 5

Cited by 1,510 Authors

39 Aizenman, Michael
28 Klein, Abel
28 Newman, Charles Michael
24 Warzel, Simone
23 Chayes, Lincoln
23 Duminil-Copin, Hugo
17 Barra, Adriano
17 Chayes, Jennifer Tour
17 Chulaevsky, Victor
17 Slade, Gordon
17 Stolz, Gunter
17 van der Hofstad, Remco W.
16 Bollobás, Béla
16 Elgart, Alexander
16 Germinet, François
15 Camia, Federico
15 van Enter, Aernout C. D.
14 Grimmett, Geoffrey R.
14 Panchenko, Dmitry
14 Schenker, Jeffrey H.
13 Arguin, Louis-Pierre
13 Nachtergaele, Bruno
13 Veselić, Ivan
12 Biskup, Marek
12 Chatterjee, Sourav
12 Contucci, Pierluigi
12 Ioffe, Dmitry
12 Klopp, Frédéric
11 Björnberg, Jakob Erik
11 Kozma, Gady
11 Lebowitz, Joel Louis
11 Simon, Barry
11 Sims, Robert L.
11 Ueltschi, Daniel
10 Crawford, Nicholas
10 Fröhlich, Jürg Martin
10 Hislop, Peter D.
10 Morris, Robert D.
10 Sakai, Akira
10 Sidoravicius, Vladas
9 Cassandro, Marzio
9 Damanik, David
9 Gravner, Janko
9 Hara, Takashi
9 Hutchcroft, Tom
9 Jitomirskaya, Svetlana Ya.
9 Külske, Christof
9 Molchanov, Stanislav Alekseevich
9 Picco, Pierre
9 Schonmann, Roberto Henrique
9 Stein, Daniel L.
9 Tassion, Vincent
9 Toninelli, Fabio Lucio
9 Yau, Horng-Tzer
8 Balogh, József
8 Banasiak, Jacek
8 Chen, Thomas M.
8 Damron, Michael
8 Häggström, Olle
8 Heydenreich, Markus
8 Joye, Alain
8 Nachmias, Asaf
8 Sadel, Christian
8 Schulz-Baldes, Hermann
8 Sly, Allan
8 Zegarlinski, Boguslaw
7 Albeverio, Sergio A.
7 Bodineau, Thierry
7 Ding, Jian
7 Erdős, László
7 Giacomin, Giambattista
7 Hulshof, Tim
7 Itoi, Chigak
7 Kesten, Harry
7 Kuwae, Kazuhiro
7 Mastropietro, Vieri
7 Müller, Peter
7 Peres, Yuval
7 Raoufi, Aran
7 Sabri, Mostafa
7 Sanchis, Rémy
7 Schramm, Oded
7 Shlosman, Senya B.
7 Skrypnik, Igor Igorievich
7 Starr, Shannon L.
7 Stollmann, Peter
7 Talagrand, Michel
7 Zhao, Zhongxin
6 Alexander, Kenneth S.
6 Anantharaman, Nalini
6 Borgs, Christian
6 Campanino, Massimo
6 Chen, Wei-Kuo
6 Chen, Zhen-Qing
6 Hammond, Alan
6 Jagannath, Aukosh
6 Keller, Matthias
6 Kirsch, Werner
6 Lacoin, Hubert
6 Lyons, Russell
...and 1,410 more Authors
all top 5

Cited in 229 Serials

252 Journal of Statistical Physics
211 Communications in Mathematical Physics
89 Probability Theory and Related Fields
85 Journal of Mathematical Physics
81 The Annals of Probability
57 Journal of Functional Analysis
48 Annales Henri Poincaré
32 Stochastic Processes and their Applications
30 The Annals of Applied Probability
29 Reviews in Mathematical Physics
22 Journal of Mathematical Analysis and Applications
21 Letters in Mathematical Physics
20 Transactions of the American Mathematical Society
17 Proceedings of the American Mathematical Society
16 Journal of Statistical Mechanics: Theory and Experiment
15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
14 Mathematical Physics, Analysis and Geometry
14 Journal of Spectral Theory
12 Duke Mathematical Journal
12 Journal of Differential Equations
12 Random Structures & Algorithms
11 Communications in Partial Differential Equations
11 Journal of the European Mathematical Society (JEMS)
10 Inventiones Mathematicae
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications on Pure and Applied Mathematics
9 Journal of Theoretical Probability
9 Electronic Journal of Probability
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Bulletin of the American Mathematical Society. New Series
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Annales de l’Institut Henri Poincaré. Physique Théorique
7 Journal of Physics A: Mathematical and Theoretical
6 International Journal of Modern Physics B
6 Reports on Mathematical Physics
6 Journal of the American Mathematical Society
6 Potential Analysis
6 Combinatorics, Probability and Computing
6 Physical Review Letters
5 Journal d’Analyse Mathématique
5 Nuclear Physics. B
5 Physics Reports
5 Advances in Mathematics
5 Journal of Applied Probability
5 Journal of Soviet Mathematics
5 Mathematische Annalen
5 Mathematische Nachrichten
5 Statistics & Probability Letters
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Physica D
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Geometric and Functional Analysis. GAFA
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Probability Surveys
4 Modern Physics Letters B
4 Israel Journal of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physica A
4 Transport Theory and Statistical Physics
4 Acta Mathematica
4 Theoretical Computer Science
4 Ergodic Theory and Dynamical Systems
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Mathematical Sciences (New York)
4 Electronic Communications in Probability
4 Abstract and Applied Analysis
4 Annals of Mathematics. Second Series
3 Archive for Rational Mechanics and Analysis
3 Discrete Applied Mathematics
3 Discrete Mathematics
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Arkiv för Matematik
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 The Annals of Statistics
3 Journal of Combinatorial Theory. Series A
3 Linear Algebra and its Applications
3 Proceedings of the National Academy of Sciences of the United States of America
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Positivity
3 Communications in Contemporary Mathematics
3 Journal of High Energy Physics
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Advances in Mathematical Physics
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Mathematical Notes
2 Physics Letters. A
2 Theoretical and Mathematical Physics
2 Mathematics of Computation
2 Annales de l’Institut Fourier
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Publications Mathématiques
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Zeitschrift
2 Rendiconti del Seminario Matematico della Università di Padova
2 Statistica Neerlandica
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Stochastic Analysis and Applications
...and 129 more Serials
all top 5

Cited in 55 Fields

1,007 Statistical mechanics, structure of matter (82-XX)
771 Probability theory and stochastic processes (60-XX)
271 Partial differential equations (35-XX)
254 Quantum theory (81-XX)
242 Operator theory (47-XX)
130 Combinatorics (05-XX)
55 Dynamical systems and ergodic theory (37-XX)
48 Ordinary differential equations (34-XX)
38 Functional analysis (46-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
30 Potential theory (31-XX)
30 Computer science (68-XX)
27 Integral equations (45-XX)
25 Measure and integration (28-XX)
25 Global analysis, analysis on manifolds (58-XX)
19 Biology and other natural sciences (92-XX)
14 Fluid mechanics (76-XX)
11 Convex and discrete geometry (52-XX)
11 Numerical analysis (65-XX)
11 Mechanics of particles and systems (70-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Functions of a complex variable (30-XX)
10 Difference and functional equations (39-XX)
10 Statistics (62-XX)
9 Number theory (11-XX)
9 Differential geometry (53-XX)
8 History and biography (01-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 General and overarching topics; collections (00-XX)
6 \(K\)-theory (19-XX)
6 Group theory and generalizations (20-XX)
6 Real functions (26-XX)
6 Mechanics of deformable solids (74-XX)
6 Operations research, mathematical programming (90-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Optics, electromagnetic theory (78-XX)
5 Information and communication theory, circuits (94-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
3 Mathematical logic and foundations (03-XX)
3 Topological groups, Lie groups (22-XX)
3 Relativity and gravitational theory (83-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Systems theory; control (93-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.