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Liggett, Thomas Milton (b. 1944 d. 2020)

Author ID: liggett.thomas-m Recent zbMATH articles by "Liggett, Thomas Milton"
Published as: Liggett, Thomas M.; Liggett, T. M.; Liggett, Thomas; Liggett, T.
Homepage: https://www.math.ucla.edu/~tml
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 106 Publications since 1968, including 7 Books
Biographic References: 1 Publication
Co-Authors: 50 Co-Authors with 48 Joint Publications
1,284 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 4,208 times in 3,236 Documents Cited by Year
Interacting particle systems. Zbl 0559.60078
Liggett, Thomas M.
1985
Stochastic interacting systems: contact, voter and exclusion processes. Zbl 0949.60006
Liggett, Thomas M.
499
1999
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
474
1971
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
194
1975
Domination by product measures. Zbl 0882.60046
Liggett, T. M.; Schonmann, R. H.; Stacey, A. M.
173
1997
Interacting particle systems. With a new postface. Reprint of the 1985 edition. Zbl 1103.82016
Liggett, Thomas M.
171
2005
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
112
1983
Continuous time Markov processes. An introduction. Zbl 1205.60002
Liggett, Thomas M.
96
2010
Survival and coexistence in interacting particle systems. Zbl 0832.60094
Liggett, T. M.
95
1994
Negative dependence and the geometry of polynomials. Zbl 1206.62096
Borcea, Julius; Brändén, Petter; Liggett, Thomas M.
82
2009
Coupling the simple exclusion process. Zbl 0339.60091
Liggett, Thomas M.
64
1976
An improved subadditive ergodic theorem. Zbl 0579.60023
Liggett, Thomas M.
61
1985
Proof of Aldous’ spectral gap conjecture. Zbl 1203.60145
Caputo, Pietro; Liggett, Thomas M.; Richthammer, Thomas
52
2010
Stochastic games with perfect information and time average payoff. Zbl 0193.19602
Liggett, T. M.; Lippman, S. A.
51
1969
Ergodic theorems for the asymmetric simple exclusion process. Zbl 0322.60086
Liggett, Thomas M.
48
1975
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
45
1981
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
43
1981
Ergodic theorems for coupled random walks and other systems with locally interacting components. Zbl 0444.60096
Liggett, Thomas M.; Spitzer, Frank
43
1981
Existence theorems for infinite particle systems. Zbl 0239.60072
Liggett, Thomas M.
41
1972
\(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case. Zbl 0737.60092
Liggett, Thomas M.
37
1991
Ultra logconcave sequences and negative dependence. Zbl 0888.60013
Liggett, Thomas M.
31
1997
The stochastic evolution of infinite systems of interacting particles. Zbl 0363.60109
Liggett, T. M.
30
1977
Integrals, partitions, and cellular automata. Zbl 1095.60003
Holroyd, Alexander E.; Liggett, Thomas M.; Romik, Dan
28
2004
Optimal stopping for partial sums. Zbl 0244.60037
Darling, D. A.; Liggett, T.; Taylor, H. M.
26
1972
An infinite particle system with zero range interactions. Zbl 0264.60083
Liggett, Thomas M.
26
1973
Random invariant measures for Markov chains and independent particle systems. Zbl 0373.60076
Liggett, Thomas M.
26
1978
Exponential \(L_ 2\) convergence of attractive reversible nearest particle systems. Zbl 0679.60093
Liggett, Thomas M.
24
1989
The survival of one-dimensional contact processes in random environments. Zbl 0754.60126
Liggett, Thomas M.
23
1992
An invariance principle for conditioned sums of independent random variables. Zbl 0181.20502
Liggett, T. M.
23
1968
Coexistence in threshold voter models. Zbl 0814.60094
Liggett, Thomas M.
23
1994
Shocks in the asymmetric exclusion process. Zbl 0632.60107
Andjel, E. D.; Bramson, M. D.; Liggett, T. M.
21
1988
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
21
1978
Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
20
2012
Multiple transition points for the contact process on the binary tree. Zbl 0871.60087
Liggett, Thomas M.
20
1996
Branching random walks and contact processes on homogeneous trees. Zbl 0867.60092
Liggett, Thomas M.
20
1996
Interacting particle systems: an introduction. Zbl 1221.60141
Liggett, Thomas M.
19
2004
Ergodic theorems for the asymmetric simple exclusion process II. Zbl 0378.60104
Liggett, Thomas M.
18
1977
Stochastic domination: the contact process, Ising models and FKG measures. Zbl 1087.60074
Liggett, Thomas M.; Steif, Jeffrey E.
18
2006
Critical phenomena for Spitzer’s reversible nearest particle systems. Zbl 0498.60090
Griffeath, David; Liggett, Thomas M.
17
1982
A characterization of the invariant measures for an infinite particle system with interactions. Zbl 0268.60090
Liggett, Thomas M.
17
1973
Tagged particle distributions or how to choose a head at random. Zbl 1108.60319
Liggett, Thomas M.
17
2002
How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields. Zbl 1019.60048
Holroyd, Alexander E.; Liggett, Thomas M.
17
2001
A characterization of the invariant measures for an infinite particle system with interactions. II. Zbl 0364.60118
Liggett, Thomas M.
15
1974
Survival of discrete time growth models, with applications to oriented percolation. Zbl 0842.60090
Liggett, Thomas M.
14
1995
The 1996 Wald memorial lectures. Stochastic models of interacting systems. Zbl 0873.60072
Liggett, Thomas M.
14
1997
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
13
1971
Improved upper bounds for the contact process critical value. Zbl 0832.60093
Liggett, Thomas M.
12
1995
Ecole d’ete de probabilités de Saint-Flour VI-1976. Edite par P.-L. Hennequin. Zbl 0348.00009
Hoffmann-Jørgensen, Jørgen; Liggett, T. M.; Neveu, J.
12
1977
Clustering in one-dimensional threshold voter models. Zbl 0752.60086
Andjel, Enrique D.; Liggett, Thomas M.; Mountford, Thomas
11
1992
Long range exclusion processes. Zbl 0457.60079
Liggett, Thomas M.
10
1980
Characterization of stationary measures for one-dimensional exclusion processes. Zbl 1039.60086
Bramson, Maury; Liggett, Thomas M.; Mountford, Thomas
10
2002
Branching random walks on finite trees. Zbl 0948.60097
Liggett, Thomas M.
8
1999
Attractive nearest particle systems. Zbl 0508.60081
Liggett, Thomas M.
8
1983
A stochastic model for phylogenetic trees. Zbl 1180.60079
Liggett, Thomas M.; Schinazi, Rinaldo B.
8
2009
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
8
1990
Finitely dependent coloring. Zbl 1361.60025
Holroyd, Alexander E.; Liggett, Thomas M.
8
2016
Asymptotics of a matrix valued Markov chain arising in sociology. Zbl 1075.60546
Bonacich, Phillip; Liggett, Thomas M.
7
2003
Systems of independent Markov chains. Zbl 0657.60123
Liggett, T. M.; Port, S. C.
7
1988
Attractive nearest neighbor spin systems on the integers. Zbl 0381.60095
Liggett, Thomas M.
7
1978
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Statistical mechanical systems on complete graphs, infinite exchangeability, finite extensions and a discrete finite moment problem. Zbl 1126.44007
Liggett, Thomas M.; Steif, Jeffrey E.; Tóth, Bálint
7
2007
Spatially inhomogeneous contact processes. Zbl 0747.60096
Liggett, Thomas M.
7
1991
Stochastic models for large interacting systems and related correlation inequalities. Zbl 1256.60037
Liggett, Thomas M.
7
2010
Distributional limits for the symmetric exclusion process. Zbl 1172.60031
Liggett, Thomas M.
7
2009
The asymptotic Shapley value for a simple market game. Zbl 1173.91372
Liggett, Thomas M.; Lippman, Steven A.; Rumelt, Richard P.
6
2009
Exclusion processes in higher dimensions: stationary measures and convergence. Zbl 1099.60067
Bramson, M.; Liggett, T. M.
6
2005
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
6
2005
Total positivity and renewal theory. Zbl 0682.60078
Liggett, Thomas M.
6
1989
Convergence to total occupancy in an infinite particle system with interactions. Zbl 0295.60086
Liggett, Thomas M.
5
1974
Symmetric 1-dependent colorings of the integers. Zbl 1385.60014
Holroyd, Alexander E.; Liggett, Thomas M.
5
2015
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. Zbl 1141.82015
Chayes, Lincoln; Liggett, Thomas M.
5
2007
Weak convergence of conditioned sums of independent random vectors. Zbl 0221.60018
Liggett, Thomas M.
5
1970
Multivariate CLT follows from strong Rayleigh property. Zbl 1432.60034
Ghosh, Subhroshekhar; Liggett, Thomas M.; Pemantle, Robin
5
2017
Interacting Markov processes. Zbl 0457.60080
Liggett, Thomas M.
4
1980
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre
4
1994
A contact process with mutations on a tree. Zbl 1141.60065
Liggett, Thomas M.; Schinazi, Rinaldo B.; Schweinsberg, Jason
4
2008
Monotonicity of conditional distributions and growth models on trees. Zbl 1044.60094
Liggett, Thomas M.
4
2000
Negative correlations and particle systems. Zbl 1021.60084
Liggett, T. M.
4
2002
Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations. Zbl 1320.60010
Arratia, Richard; Liggett, Thomas M.; Williamson, Malcolm J.
4
2014
Reversible growth models on Z d: Some examples. Zbl 0636.60104
Liggett, Thomas M.
3
1987
Exponential waiting time for filling a large interval in the symmetric simple exclusion process. Zbl 0819.60095
Ferrari, P. A.; Galves, A.; Liggett, T. M.
3
1995
Reversible growth models on symmetric sets. Zbl 0653.60094
Liggett, Thomas M.
3
1987
Two critical exponents for finite reversible nearest particle systems. Zbl 0527.60093
Liggett, Thomas M.
3
1983
T. E. Harris’ contributions to interacting particle systems and percolation. Zbl 1213.60159
Liggett, Thomas M.
3
2011
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
3
2014
An infinite stochastic model of social network formation. Zbl 1071.60097
Liggett, Thomas M.; Rolles, Silke W. W.
2
2004
Spatial stochastic growth models - survival and critical behavior. Zbl 0667.92012
Liggett, Thomas M.
2
1987
Finite nearest particle systems. Zbl 0557.60087
Liggett, Thomas M.
2
1984
Applications of the Dirichlet principle to finite reversible nearest particle systems. Zbl 0589.60081
Liggett, Thomas M.
2
1987
Convergence of sums of random variables conditioned on a future change of sign. Zbl 0219.60021
Liggett, T. M.
2
1970
Extensions of the Erdős-Ko-Rado theorem and a statistical application. Zbl 0361.05011
Liggett, Thomas M.
2
1977
Conditional association and spin systems. Zbl 1157.60088
Liggett, Thomas M.
2
2006
The periodic threshold contact process. Zbl 0747.60097
Liggett, Thomas M.
2
1991
On convergent diffusions: The densities and the conditioned processes. Zbl 0181.44302
Liggett, Thomas M.
2
1970
Nearest particle systems: Results and open problems. Zbl 0603.60094
Liggett, Thomas M.
2
1986
The coupling technique in interacting particle systems. Zbl 0796.60099
Liggett, Thomas M.
2
1993
Finite reversible nearest particle systems in inhomogeneous and random environments. Zbl 0753.60099
Chen, Dayue; Liggett, Thomas M.
1
1992
Markov processes with local interaction. (Markovskie protsessy s lokal’nym vzaimodejstviem). Transl. from the English by A. L. Toom and S. B. Shlosman. Transl. ed. and with a preface by R. L. Dobrushin. (Markovskie protsessy s lokal’nym vzaimodejstviem.) Zbl 0741.60102
Liggett, T.
1
1989
Multivariate CLT follows from strong Rayleigh property. Zbl 1432.60034
Ghosh, Subhroshekhar; Liggett, Thomas M.; Pemantle, Robin
5
2017
Finitely dependent coloring. Zbl 1361.60025
Holroyd, Alexander E.; Liggett, Thomas M.
8
2016
Symmetric 1-dependent colorings of the integers. Zbl 1385.60014
Holroyd, Alexander E.; Liggett, Thomas M.
5
2015
Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations. Zbl 1320.60010
Arratia, Richard; Liggett, Thomas M.; Williamson, Malcolm J.
4
2014
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
3
2014
Interacting particle systems at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1608 (1995), 1464 (1991), 589 (1977), and 390 (1974). Zbl 1248.82021
Durrett, Rick; Liggett, Thomas M.; Spitzer, Frank; Sznitman, Alain-Sol
20
2012
T. E. Harris’ contributions to interacting particle systems and percolation. Zbl 1213.60159
Liggett, Thomas M.
3
2011
Continuous time Markov processes. An introduction. Zbl 1205.60002
Liggett, Thomas M.
96
2010
Proof of Aldous’ spectral gap conjecture. Zbl 1203.60145
Caputo, Pietro; Liggett, Thomas M.; Richthammer, Thomas
52
2010
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Stochastic models for large interacting systems and related correlation inequalities. Zbl 1256.60037
Liggett, Thomas M.
7
2010
Negative dependence and the geometry of polynomials. Zbl 1206.62096
Borcea, Julius; Brändén, Petter; Liggett, Thomas M.
82
2009
A stochastic model for phylogenetic trees. Zbl 1180.60079
Liggett, Thomas M.; Schinazi, Rinaldo B.
8
2009
Distributional limits for the symmetric exclusion process. Zbl 1172.60031
Liggett, Thomas M.
7
2009
The asymptotic Shapley value for a simple market game. Zbl 1173.91372
Liggett, Thomas M.; Lippman, Steven A.; Rumelt, Richard P.
6
2009
A contact process with mutations on a tree. Zbl 1141.60065
Liggett, Thomas M.; Schinazi, Rinaldo B.; Schweinsberg, Jason
4
2008
Statistical mechanical systems on complete graphs, infinite exchangeability, finite extensions and a discrete finite moment problem. Zbl 1126.44007
Liggett, Thomas M.; Steif, Jeffrey E.; Tóth, Bálint
7
2007
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. Zbl 1141.82015
Chayes, Lincoln; Liggett, Thomas M.
5
2007
Stochastic domination: the contact process, Ising models and FKG measures. Zbl 1087.60074
Liggett, Thomas M.; Steif, Jeffrey E.
18
2006
Conditional association and spin systems. Zbl 1157.60088
Liggett, Thomas M.
2
2006
Interacting particle systems. With a new postface. Reprint of the 1985 edition. Zbl 1103.82016
Liggett, Thomas M.
171
2005
Exclusion processes in higher dimensions: stationary measures and convergence. Zbl 1099.60067
Bramson, M.; Liggett, T. M.
6
2005
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
6
2005
Integrals, partitions, and cellular automata. Zbl 1095.60003
Holroyd, Alexander E.; Liggett, Thomas M.; Romik, Dan
28
2004
Interacting particle systems: an introduction. Zbl 1221.60141
Liggett, Thomas M.
19
2004
An infinite stochastic model of social network formation. Zbl 1071.60097
Liggett, Thomas M.; Rolles, Silke W. W.
2
2004
Asymptotics of a matrix valued Markov chain arising in sociology. Zbl 1075.60546
Bonacich, Phillip; Liggett, Thomas M.
7
2003
Tagged particle distributions or how to choose a head at random. Zbl 1108.60319
Liggett, Thomas M.
17
2002
Characterization of stationary measures for one-dimensional exclusion processes. Zbl 1039.60086
Bramson, Maury; Liggett, Thomas M.; Mountford, Thomas
10
2002
Negative correlations and particle systems. Zbl 1021.60084
Liggett, T. M.
4
2002
How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields. Zbl 1019.60048
Holroyd, Alexander E.; Liggett, Thomas M.
17
2001
Monotonicity of conditional distributions and growth models on trees. Zbl 1044.60094
Liggett, Thomas M.
4
2000
Stochastic interacting systems: contact, voter and exclusion processes. Zbl 0949.60006
Liggett, Thomas M.
499
1999
Branching random walks on finite trees. Zbl 0948.60097
Liggett, Thomas M.
8
1999
Domination by product measures. Zbl 0882.60046
Liggett, T. M.; Schonmann, R. H.; Stacey, A. M.
173
1997
Ultra logconcave sequences and negative dependence. Zbl 0888.60013
Liggett, Thomas M.
31
1997
The 1996 Wald memorial lectures. Stochastic models of interacting systems. Zbl 0873.60072
Liggett, Thomas M.
14
1997
Multiple transition points for the contact process on the binary tree. Zbl 0871.60087
Liggett, Thomas M.
20
1996
Branching random walks and contact processes on homogeneous trees. Zbl 0867.60092
Liggett, Thomas M.
20
1996
Survival of discrete time growth models, with applications to oriented percolation. Zbl 0842.60090
Liggett, Thomas M.
14
1995
Improved upper bounds for the contact process critical value. Zbl 0832.60093
Liggett, Thomas M.
12
1995
Exponential waiting time for filling a large interval in the symmetric simple exclusion process. Zbl 0819.60095
Ferrari, P. A.; Galves, A.; Liggett, T. M.
3
1995
Survival and coexistence in interacting particle systems. Zbl 0832.60094
Liggett, T. M.
95
1994
Coexistence in threshold voter models. Zbl 0814.60094
Liggett, Thomas M.
23
1994
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre
4
1994
The coupling technique in interacting particle systems. Zbl 0796.60099
Liggett, Thomas M.
2
1993
The survival of one-dimensional contact processes in random environments. Zbl 0754.60126
Liggett, Thomas M.
23
1992
Clustering in one-dimensional threshold voter models. Zbl 0752.60086
Andjel, Enrique D.; Liggett, Thomas M.; Mountford, Thomas
11
1992
Finite reversible nearest particle systems in inhomogeneous and random environments. Zbl 0753.60099
Chen, Dayue; Liggett, Thomas M.
1
1992
\(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case. Zbl 0737.60092
Liggett, Thomas M.
37
1991
Spatially inhomogeneous contact processes. Zbl 0747.60096
Liggett, Thomas M.
7
1991
The periodic threshold contact process. Zbl 0747.60097
Liggett, Thomas M.
2
1991
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
8
1990
Exponential \(L_ 2\) convergence of attractive reversible nearest particle systems. Zbl 0679.60093
Liggett, Thomas M.
24
1989
Total positivity and renewal theory. Zbl 0682.60078
Liggett, Thomas M.
6
1989
Markov processes with local interaction. (Markovskie protsessy s lokal’nym vzaimodejstviem). Transl. from the English by A. L. Toom and S. B. Shlosman. Transl. ed. and with a preface by R. L. Dobrushin. (Markovskie protsessy s lokal’nym vzaimodejstviem.) Zbl 0741.60102
Liggett, T.
1
1989
Shocks in the asymmetric exclusion process. Zbl 0632.60107
Andjel, E. D.; Bramson, M. D.; Liggett, T. M.
21
1988
Systems of independent Markov chains. Zbl 0657.60123
Liggett, T. M.; Port, S. C.
7
1988
Reversible growth models on Z d: Some examples. Zbl 0636.60104
Liggett, Thomas M.
3
1987
Reversible growth models on symmetric sets. Zbl 0653.60094
Liggett, Thomas M.
3
1987
Spatial stochastic growth models - survival and critical behavior. Zbl 0667.92012
Liggett, Thomas M.
2
1987
Applications of the Dirichlet principle to finite reversible nearest particle systems. Zbl 0589.60081
Liggett, Thomas M.
2
1987
Nearest particle systems: Results and open problems. Zbl 0603.60094
Liggett, Thomas M.
2
1986
Interacting particle systems. Zbl 0559.60078
Liggett, Thomas M.
1985
An improved subadditive ergodic theorem. Zbl 0579.60023
Liggett, Thomas M.
61
1985
Finite nearest particle systems. Zbl 0557.60087
Liggett, Thomas M.
2
1984
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
112
1983
Attractive nearest particle systems. Zbl 0508.60081
Liggett, Thomas M.
8
1983
Two critical exponents for finite reversible nearest particle systems. Zbl 0527.60093
Liggett, Thomas M.
3
1983
Critical phenomena for Spitzer’s reversible nearest particle systems. Zbl 0498.60090
Griffeath, David; Liggett, Thomas M.
17
1982
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
45
1981
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
43
1981
Ergodic theorems for coupled random walks and other systems with locally interacting components. Zbl 0444.60096
Liggett, Thomas M.; Spitzer, Frank
43
1981
Long range exclusion processes. Zbl 0457.60079
Liggett, Thomas M.
10
1980
Interacting Markov processes. Zbl 0457.60080
Liggett, Thomas M.
4
1980
Random invariant measures for Markov chains and independent particle systems. Zbl 0373.60076
Liggett, Thomas M.
26
1978
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
21
1978
Attractive nearest neighbor spin systems on the integers. Zbl 0381.60095
Liggett, Thomas M.
7
1978
The stochastic evolution of infinite systems of interacting particles. Zbl 0363.60109
Liggett, T. M.
30
1977
Ergodic theorems for the asymmetric simple exclusion process II. Zbl 0378.60104
Liggett, Thomas M.
18
1977
Ecole d’ete de probabilités de Saint-Flour VI-1976. Edite par P.-L. Hennequin. Zbl 0348.00009
Hoffmann-Jørgensen, Jørgen; Liggett, T. M.; Neveu, J.
12
1977
Extensions of the Erdős-Ko-Rado theorem and a statistical application. Zbl 0361.05011
Liggett, Thomas M.
2
1977
Coupling the simple exclusion process. Zbl 0339.60091
Liggett, Thomas M.
64
1976
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
194
1975
Ergodic theorems for the asymmetric simple exclusion process. Zbl 0322.60086
Liggett, Thomas M.
48
1975
A characterization of the invariant measures for an infinite particle system with interactions. II. Zbl 0364.60118
Liggett, Thomas M.
15
1974
Convergence to total occupancy in an infinite particle system with interactions. Zbl 0295.60086
Liggett, Thomas M.
5
1974
An infinite particle system with zero range interactions. Zbl 0264.60083
Liggett, Thomas M.
26
1973
A characterization of the invariant measures for an infinite particle system with interactions. Zbl 0268.60090
Liggett, Thomas M.
17
1973
Existence theorems for infinite particle systems. Zbl 0239.60072
Liggett, Thomas M.
41
1972
Optimal stopping for partial sums. Zbl 0244.60037
Darling, D. A.; Liggett, T.; Taylor, H. M.
26
1972
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
474
1971
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
13
1971
Weak convergence of conditioned sums of independent random vectors. Zbl 0221.60018
Liggett, Thomas M.
5
1970
Convergence of sums of random variables conditioned on a future change of sign. Zbl 0219.60021
Liggett, T. M.
2
1970
On convergent diffusions: The densities and the conditioned processes. Zbl 0181.44302
Liggett, Thomas M.
2
1970
Stochastic games with perfect information and time average payoff. Zbl 0193.19602
Liggett, T. M.; Lippman, S. A.
51
1969
An invariance principle for conditioned sums of independent random variables. Zbl 0181.20502
Liggett, T. M.
23
1968
all top 5

Cited by 3,438 Authors

41 Durrett, Richard Timothy
34 Mountford, Thomas S.
33 Ferrari, Pablo Augusto
33 Liggett, Thomas Milton
31 Redig, Frank
30 Lanchier, Nicolas
26 Schütz, Gunter M.
25 Vazquez, Juan Luis
25 Xue, Xiaofeng
24 Vares, Maria Eulalia
23 Lebowitz, Joel Louis
23 Wang, Jun
22 Cox, J. Theodore
22 Ferrari, Patrik Lino
21 Holroyd, Alexander E.
21 Schinazi, Rinaldo B.
21 Sidoravicius, Vladas
20 Martinelli, Fabio
20 Schonmann, Roberto Henrique
19 Corwin, Ivan Z.
18 Andjel, Enrique Daniel
18 Mazón Ruiz, José M.
18 Presutti, Errico
17 Bramson, Maury D.
17 den Hollander, Frank
17 Greven, Andreas
17 Sly, Allan
16 Gonçalves, Patrícia C.
16 Swart, Jan M.
16 Toninelli, Cristina
15 Barral, Julien
15 Caselles Costa, Vicent
15 Saada, Ellen
15 Seppäläinen, Timo
15 Sethuraman, Sunder
14 Borodin, Alexei
14 Häggström, Olle
14 Sasamoto, Tomohiro
13 Bahadoran, Christophe
13 De Masi, Anna
13 Derrida, Bernard
13 Giardinà, Cristian
13 Landim, Claudio
13 Valesin, Daniel
12 Hirsch, Christian
12 Maes, Christian
12 Reich, Simeon
11 Belitsky, Vladimir
11 Chen, Mu-Fa
11 Dai Pra, Paolo
11 Griffeath, David
11 Gurvich, Vladimir A.
11 Huillet, Thierry E.
11 Jahnel, Benedikt
11 Jara, Milton D.
11 Neuhauser, Claudia
11 Peres, Yuval
11 Steif, Jeffrey E.
10 Balazs, Marton
10 Boros, Endre
10 Caputo, Pietro
10 Chen, Dayue
10 Galves, Antonio
10 Hilário, Marcelo Richard
10 Lacoin, Hubert
10 Nejjar, Peter
10 Pemantle, Robin
10 Rassoul-Agha, Firas
10 Ravishankar, Krishnamurthi
10 Tanaka, Naoki
10 van den Berg, Rob
10 Webb, Glenn Francis
10 Zucca, Fabio
9 Andreu, Fuensanta
9 Angel, Omer
9 Cerf, Raphaël
9 de Lima, Bernardo N. B.
9 Duminil-Copin, Hugo
9 Elbassioni, Khaled M.
9 Faggionato, Alessandra
9 Fitzgibbon, William Edward
9 Fontes, Luiz Renato G.
9 Gravner, Janko
9 Hartarsky, Ivailo
9 Kobayashi, Yoshikazu
9 Külske, Christof
9 Makino, Kazuhisa
9 Mossel, Elchanan
9 Spohn, Herbert
9 Zegarlinski, Boguslaw
8 Aldous, David John
8 Asselah, Amine
8 Ayyer, Arvind
8 Benjamini, Itai
8 Bertacchi, Daniela
8 Bollobás, Béla
8 Buraczewski, Dariusz
8 Carinci, Gioia
8 Chayes, Lincoln
8 Damron, Michael
...and 3,338 more Authors
all top 5

Cited in 417 Serials

298 Journal of Statistical Physics
195 Stochastic Processes and their Applications
183 The Annals of Probability
136 Probability Theory and Related Fields
127 The Annals of Applied Probability
90 Communications in Mathematical Physics
79 Journal of Statistical Mechanics: Theory and Experiment
73 Electronic Journal of Probability
68 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
63 Physica A
50 Journal of Mathematical Analysis and Applications
46 Journal of Applied Probability
45 Advances in Applied Probability
45 Journal of Theoretical Probability
39 Transactions of the American Mathematical Society
37 Journal of Differential Equations
37 Nonlinear Analysis. Theory, Methods & Applications
36 ALEA. Latin American Journal of Probability and Mathematical Statistics
32 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Electronic Communications in Probability
28 Journal of Functional Analysis
28 Journal of Theoretical Biology
27 Israel Journal of Mathematics
26 Advances in Mathematics
26 Random Structures & Algorithms
25 Journal of Mathematical Physics
22 Communications on Pure and Applied Mathematics
22 Statistics & Probability Letters
22 Journal of Physics A: Mathematical and Theoretical
21 Proceedings of the American Mathematical Society
21 Bernoulli
17 Journal of Mathematical Biology
15 Physica D
14 Mathematical Biosciences
14 Physics Letters. A
14 Theoretical Population Biology
14 Brazilian Journal of Probability and Statistics
14 Proceedings of the Japan Academy
13 Theoretical Computer Science
12 Chaos, Solitons and Fractals
11 Archive for Rational Mechanics and Analysis
11 Bulletin of Mathematical Biology
11 Stochastics
10 Journal of Combinatorial Theory. Series A
10 Queueing Systems
10 Acta Mathematica Sinica. New Series
10 Potential Analysis
10 Journal of the European Mathematical Society (JEMS)
9 Journal of Soviet Mathematics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Journal of Computational Physics
8 Applied Mathematics and Computation
8 Proceedings of the Japan Academy. Series A
8 Advances in Applied Mathematics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Bulletin of the American Mathematical Society. New Series
8 Calculus of Variations and Partial Differential Equations
8 Combinatorics, Probability and Computing
8 Mathematical Physics, Analysis and Geometry
8 Annales Henri Poincaré
8 Journal of Evolution Equations
8 Frontiers of Mathematics in China
8 Probability Surveys
7 Computers & Mathematics with Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Duke Mathematical Journal
7 The Journal of Mathematical Sociology
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
7 SIAM Journal on Mathematical Analysis
7 Economic Theory
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Chaos
6 Physics Reports
6 Information Sciences
6 International Journal of Game Theory
6 Journal of Computational and Applied Mathematics
6 Mathematische Annalen
6 Mathematische Nachrichten
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Semigroup Forum
6 Stochastic Analysis and Applications
6 Acta Applicandae Mathematicae
6 Communications in Partial Differential Equations
6 Linear Algebra and its Applications
6 New Journal of Physics
6 Acta Mathematica Sinica. English Series
6 Probability in the Engineering and Informational Sciences
6 Stochastic Models
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Discrete Applied Mathematics
5 Journal d’Analyse Mathématique
5 Nonlinearity
5 Problems of Information Transmission
5 Inventiones Mathematicae
5 Mathematics and Computers in Simulation
5 Proceedings of the London Mathematical Society. Third Series
5 Information and Computation
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Distributed Computing
...and 317 more Serials
all top 5

Cited in 58 Fields

2,043 Probability theory and stochastic processes (60-XX)
1,109 Statistical mechanics, structure of matter (82-XX)
364 Partial differential equations (35-XX)
308 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
305 Operator theory (47-XX)
282 Combinatorics (05-XX)
264 Biology and other natural sciences (92-XX)
144 Dynamical systems and ergodic theory (37-XX)
127 Computer science (68-XX)
120 Ordinary differential equations (34-XX)
91 Statistics (62-XX)
89 Numerical analysis (65-XX)
84 Operations research, mathematical programming (90-XX)
65 Quantum theory (81-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
55 Fluid mechanics (76-XX)
50 Functional analysis (46-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
43 Measure and integration (28-XX)
37 Real functions (26-XX)
37 Systems theory; control (93-XX)
30 Global analysis, analysis on manifolds (58-XX)
22 Integral equations (45-XX)
21 Number theory (11-XX)
20 Group theory and generalizations (20-XX)
19 Difference and functional equations (39-XX)
19 Information and communication theory, circuits (94-XX)
17 Functions of a complex variable (30-XX)
15 Convex and discrete geometry (52-XX)
15 Classical thermodynamics, heat transfer (80-XX)
13 Algebraic geometry (14-XX)
13 Special functions (33-XX)
13 Differential geometry (53-XX)
11 Mathematical logic and foundations (03-XX)
10 Abstract harmonic analysis (43-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Topological groups, Lie groups (22-XX)
7 Potential theory (31-XX)
7 Mechanics of deformable solids (74-XX)
6 General and overarching topics; collections (00-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Nonassociative rings and algebras (17-XX)
6 Approximations and expansions (41-XX)
6 General topology (54-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
4 Integral transforms, operational calculus (44-XX)
4 Astronomy and astrophysics (85-XX)
3 Field theory and polynomials (12-XX)
3 Associative rings and algebras (16-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Relativity and gravitational theory (83-XX)
3 Geophysics (86-XX)
2 History and biography (01-XX)
2 Optics, electromagnetic theory (78-XX)
1 General algebraic systems (08-XX)
1 Mathematics education (97-XX)

Citations by Year

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