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Liggett, Thomas Milton

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Author ID: liggett.thomas-m Recent zbMATH articles by "Liggett, Thomas Milton"
Published as: Liggett, T.; Liggett, T. M.; Liggett, Thomas; Liggett, Thomas M.
Homepage: https://www.math.ucla.edu/~tml
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 105 Publications since 1968, including 7 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 3,318 times in 2,499 Documents Cited by Year
Interacting particle systems. Zbl 0559.60078
Liggett, Thomas M.
865
1985
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
416
1971
Stochastic interacting systems: contact, voter and exclusion processes. Zbl 0949.60006
Liggett, Thomas M.
356
1999
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
136
1975
Interacting particle systems. With a new postface. Reprint of the 1985 edition. Zbl 1103.82016
Liggett, Thomas M.
128
2005
Domination by product measures. Zbl 0882.60046
Liggett, T. M.; Schonmann, R. H.; Stacey, A. M.
121
1997
Fixed points of the smoothing transformation. Zbl 0506.60097
Durrett, Richard; Liggett, Thomas M.
97
1983
Survival and coexistence in interacting particle systems. Zbl 0832.60094
Liggett, T. M.
87
1994
Coupling the simple exclusion process. Zbl 0339.60091
Liggett, Thomas M.
50
1976
Continuous time Markov processes. An introduction. Zbl 1205.60002
Liggett, Thomas M.
49
2010
Negative dependence and the geometry of polynomials. Zbl 1206.62096
Borcea, Julius; Brändén, Petter; Liggett, Thomas M.
49
2009
An improved subadditive ergodic theorem. Zbl 0579.60023
Liggett, Thomas M.
46
1985
Ergodic theorems for coupled random walks and other systems with locally interacting components. Zbl 0444.60096
Liggett, Thomas M.; Spitzer, Frank
41
1981
Stochastic games with perfect information and time average payoff. Zbl 0193.19602
Liggett, T. M.; Lippman, S. A.
41
1969
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
37
1981
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
36
1981
Existence theorems for infinite particle systems. Zbl 0239.60072
Liggett, Thomas M.
34
1972
Proof of Aldous’ spectral gap conjecture. Zbl 1203.60145
Caputo, Pietro; Liggett, Thomas M.; Richthammer, Thomas
31
2010
Ergodic theorems for the asymmetric simple exclusion process. Zbl 0322.60086
Liggett, Thomas M.
30
1975
\(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case. Zbl 0737.60092
Liggett, Thomas M.
29
1991
An infinite particle system with zero range interactions. Zbl 0264.60083
Liggett, Thomas M.
25
1973
Integrals, partitions, and cellular automata. Zbl 1095.60003
Holroyd, Alexander E.; Liggett, Thomas M.; Romik, Dan
24
2004
Optimal stopping for partial sums. Zbl 0244.60037
Darling, D. A.; Liggett, T.; Taylor, H. M.
23
1972
Ultra logconcave sequences and negative dependence. Zbl 0888.60013
Liggett, Thomas M.
22
1997
The stochastic evolution of infinite systems of interacting particles. Zbl 0363.60109
Liggett, T. M.
22
1977
Exponential \(L_ 2\) convergence of attractive reversible nearest particle systems. Zbl 0679.60093
Liggett, Thomas M.
20
1989
Random invariant measures for Markov chains and independent particle systems. Zbl 0373.60076
Liggett, Thomas M.
20
1978
Shocks in the asymmetric exclusion process. Zbl 0632.60107
Andjel, E. D.; Bramson, M. D.; Liggett, T. M.
19
1988
Coexistence in threshold voter models. Zbl 0814.60094
Liggett, Thomas M.
18
1994
The survival of one-dimensional contact processes in random environments. Zbl 0754.60126
Liggett, Thomas M.
18
1992
Multiple transition points for the contact process on the binary tree. Zbl 0871.60087
Liggett, Thomas M.
17
1996
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
17
1978
A characterization of the invariant measures for an infinite particle system with interactions. Zbl 0268.60090
Liggett, Thomas M.
16
1973
Critical phenomena for Spitzer’s reversible nearest particle systems. Zbl 0498.60090
Griffeath, David; Liggett, Thomas M.
15
1982
An invariance principle for conditioned sums of independent random variables. Zbl 0181.20502
Liggett, T. M.
15
1968
Branching random walks and contact processes on homogeneous trees. Zbl 0867.60092
Liggett, Thomas M.
14
1996
A characterization of the invariant measures for an infinite particle system with interactions. II. Zbl 0364.60118
Liggett, Thomas M.
14
1974
Tagged particle distributions or how to choose a head at random. Zbl 1108.60319
Liggett, Thomas M.
13
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.
13
2001
The 1996 Wald memorial lectures. Stochastic models of interacting systems. Zbl 0873.60072
Liggett, Thomas M.
13
1997
Ergodic theorems for the asymmetric simple exclusion process II. Zbl 0378.60104
Liggett, Thomas M.
13
1977
Stochastic domination: the contact process, Ising models and FKG measures. Zbl 1087.60074
Liggett, Thomas M.; Steif, Jeffrey E.
12
2006
Interacting particle systems: an introduction. Zbl 1221.60141
Liggett, Thomas M.
12
2004
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
11
1971
Clustering in one-dimensional threshold voter models. Zbl 0752.60086
Andjel, Enrique D.; Liggett, Thomas M.; Mountford, Thomas
10
1992
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
9
2012
Survival of discrete time growth models, with applications to oriented percolation. Zbl 0842.60090
Liggett, Thomas M.
9
1995
Improved upper bounds for the contact process critical value. Zbl 0832.60093
Liggett, Thomas M.
9
1995
Ergodicity of reversible reaction diffusion processes. Zbl 0669.60077
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M.
9
1990
Long range exclusion processes. Zbl 0457.60079
Liggett, Thomas M.
9
1980
Characterization of stationary measures for one-dimensional exclusion processes. Zbl 1039.60086
Bramson, Maury; Liggett, Thomas M.; Mountford, Thomas
8
2002
Branching random walks on finite trees. Zbl 0948.60097
Liggett, Thomas M.
8
1999
Systems of independent Markov chains. Zbl 0657.60123
Liggett, T. M.; Port, S. C.
8
1988
Attractive nearest particle systems. Zbl 0508.60081
Liggett, Thomas M.
8
1983
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
A stochastic model for phylogenetic trees. Zbl 1180.60079
Liggett, Thomas M.; Schinazi, Rinaldo B.
7
2009
Spatially inhomogeneous contact processes. Zbl 0747.60096
Liggett, Thomas M.
7
1991
The asymptotic Shapley value for a simple market game. Zbl 1173.91372
Liggett, Thomas M.; Lippman, Steven A.; Rumelt, Richard P.
6
2009
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
6
2007
Asymptotics of a matrix valued Markov chain arising in sociology. Zbl 1075.60546
Bonacich, Phillip; Liggett, Thomas M.
6
2003
Total positivity and renewal theory. Zbl 0682.60078
Liggett, Thomas M.
6
1989
Attractive nearest neighbor spin systems on the integers. Zbl 0381.60095
Liggett, Thomas M.
6
1978
Distributional limits for the symmetric exclusion process. Zbl 1172.60031
Liggett, Thomas M.
5
2009
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. Zbl 1141.82015
Chayes, Lincoln; Liggett, Thomas M.
5
2007
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
5
2005
Convergence to total occupancy in an infinite particle system with interactions. Zbl 0295.60086
Liggett, Thomas M.
5
1974
Stochastic models for large interacting systems and related correlation inequalities. Zbl 1256.60037
Liggett, Thomas M.
4
2010
A contact process with mutations on a tree. Zbl 1141.60065
Liggett, Thomas M.; Schinazi, Rinaldo B.; Schweinsberg, Jason
4
2008
Exclusion processes in higher dimensions: stationary measures and convergence. Zbl 1099.60067
Bramson, M.; Liggett, T. M.
4
2005
Negative correlations and particle systems. Zbl 1021.60084
Liggett, T. M.
4
2002
Equivalence of renewal sequences and isomorphism of random walks. Zbl 0808.60063
Aaronson, Jon; Liggett, Thomas; Picco, Pierre
4
1994
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.
4
1977
Symmetric 1-dependent colorings of the integers. Zbl 1385.60014
Holroyd, Alexander E.; Liggett, Thomas M.
3
2015
T. E. Harris’ contributions to interacting particle systems and percolation. Zbl 1213.60159
Liggett, Thomas M.
3
2011
Monotonicity of conditional distributions and growth models on trees. Zbl 1044.60094
Liggett, Thomas M.
3
2000
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
Two critical exponents for finite reversible nearest particle systems. Zbl 0527.60093
Liggett, Thomas M.
3
1983
Weak convergence of conditioned sums of independent random vectors. Zbl 0221.60018
Liggett, Thomas M.
3
1970
Finitely dependent coloring. Zbl 1361.60025
Holroyd, Alexander E.; Liggett, Thomas M.
2
2016
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.
2
2014
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
2
2014
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.
2
1992
The periodic threshold contact process. Zbl 0747.60097
Liggett, Thomas M.
2
1991
Reversible growth models on symmetric sets. Zbl 0653.60094
Liggett, Thomas M.
2
1987
Reversible growth models on Z d: Some examples. Zbl 0636.60104
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
Finite nearest particle systems. Zbl 0557.60087
Liggett, Thomas M.
2
1984
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
Multivariate CLT follows from strong Rayleigh property. Zbl 1432.60034
Ghosh, Subhroshekhar; Liggett, Thomas M.; Pemantle, Robin
1
2017
Conditional association and spin systems. Zbl 1157.60088
Liggett, Thomas M.
1
2006
An infinite stochastic model of social network formation. Zbl 1071.60097
Liggett, Thomas M.; Rolles, Silke W. W.
1
2004
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. Zbl 0741.60102
Liggett, T.
1
1989
Spatial stochastic growth models - survival and critical behavior. Zbl 0667.92012
Liggett, Thomas M.
1
1987
Interacting Markov processes. Zbl 0457.60080
Liggett, Thomas M.
1
1980
Extensions of the Erdős-Ko-Rado theorem and a statistical application. Zbl 0361.05011
Liggett, Thomas M.
1
1977
Multivariate CLT follows from strong Rayleigh property. Zbl 1432.60034
Ghosh, Subhroshekhar; Liggett, Thomas M.; Pemantle, Robin
1
2017
Finitely dependent coloring. Zbl 1361.60025
Holroyd, Alexander E.; Liggett, Thomas M.
2
2016
Symmetric 1-dependent colorings of the integers. Zbl 1385.60014
Holroyd, Alexander E.; Liggett, Thomas M.
3
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.
2
2014
The contact process with fast voting. Zbl 1291.60203
Durrett, Rick; Liggett, Thomas; Zhang, Yuan
2
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
9
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.
49
2010
Proof of Aldous’ spectral gap conjecture. Zbl 1203.60145
Caputo, Pietro; Liggett, Thomas M.; Richthammer, Thomas
31
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.
4
2010
Negative dependence and the geometry of polynomials. Zbl 1206.62096
Borcea, Julius; Brändén, Petter; Liggett, Thomas M.
49
2009
A stochastic model for phylogenetic trees. Zbl 1180.60079
Liggett, Thomas M.; Schinazi, Rinaldo B.
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
Distributional limits for the symmetric exclusion process. Zbl 1172.60031
Liggett, Thomas M.
5
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
6
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.
12
2006
Conditional association and spin systems. Zbl 1157.60088
Liggett, Thomas M.
1
2006
Interacting particle systems. With a new postface. Reprint of the 1985 edition. Zbl 1103.82016
Liggett, Thomas M.
128
2005
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
5
2005
Exclusion processes in higher dimensions: stationary measures and convergence. Zbl 1099.60067
Bramson, M.; Liggett, T. M.
4
2005
Integrals, partitions, and cellular automata. Zbl 1095.60003
Holroyd, Alexander E.; Liggett, Thomas M.; Romik, Dan
24
2004
Interacting particle systems: an introduction. Zbl 1221.60141
Liggett, Thomas M.
12
2004
An infinite stochastic model of social network formation. Zbl 1071.60097
Liggett, Thomas M.; Rolles, Silke W. W.
1
2004
Asymptotics of a matrix valued Markov chain arising in sociology. Zbl 1075.60546
Bonacich, Phillip; Liggett, Thomas M.
6
2003
Tagged particle distributions or how to choose a head at random. Zbl 1108.60319
Liggett, Thomas M.
13
2002
Characterization of stationary measures for one-dimensional exclusion processes. Zbl 1039.60086
Bramson, Maury; Liggett, Thomas M.; Mountford, Thomas
8
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.
13
2001
Monotonicity of conditional distributions and growth models on trees. Zbl 1044.60094
Liggett, Thomas M.
3
2000
Stochastic interacting systems: contact, voter and exclusion processes. Zbl 0949.60006
Liggett, Thomas M.
356
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.
121
1997
Ultra logconcave sequences and negative dependence. Zbl 0888.60013
Liggett, Thomas M.
22
1997
The 1996 Wald memorial lectures. Stochastic models of interacting systems. Zbl 0873.60072
Liggett, Thomas M.
13
1997
Multiple transition points for the contact process on the binary tree. Zbl 0871.60087
Liggett, Thomas M.
17
1996
Branching random walks and contact processes on homogeneous trees. Zbl 0867.60092
Liggett, Thomas M.
14
1996
Survival of discrete time growth models, with applications to oriented percolation. Zbl 0842.60090
Liggett, Thomas M.
9
1995
Improved upper bounds for the contact process critical value. Zbl 0832.60093
Liggett, Thomas M.
9
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.
87
1994
Coexistence in threshold voter models. Zbl 0814.60094
Liggett, Thomas M.
18
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.
18
1992
Clustering in one-dimensional threshold voter models. Zbl 0752.60086
Andjel, Enrique D.; Liggett, Thomas M.; Mountford, Thomas
10
1992
Finite reversible nearest particle systems in inhomogeneous and random environments. Zbl 0753.60099
Chen, Dayue; Liggett, Thomas M.
2
1992
\(L_ 2\) rates of convergence for attractive reversible nearest particle systems: The critical case. Zbl 0737.60092
Liggett, Thomas M.
29
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.
9
1990
Exponential \(L_ 2\) convergence of attractive reversible nearest particle systems. Zbl 0679.60093
Liggett, Thomas M.
20
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. 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.
19
1988
Systems of independent Markov chains. Zbl 0657.60123
Liggett, T. M.; Port, S. C.
8
1988
Reversible growth models on symmetric sets. Zbl 0653.60094
Liggett, Thomas M.
2
1987
Reversible growth models on Z d: Some examples. Zbl 0636.60104
Liggett, Thomas M.
2
1987
Applications of the Dirichlet principle to finite reversible nearest particle systems. Zbl 0589.60081
Liggett, Thomas M.
2
1987
Spatial stochastic growth models - survival and critical behavior. Zbl 0667.92012
Liggett, Thomas M.
1
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.
865
1985
An improved subadditive ergodic theorem. Zbl 0579.60023
Liggett, Thomas M.
46
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.
97
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.
15
1982
Ergodic theorems for coupled random walks and other systems with locally interacting components. Zbl 0444.60096
Liggett, Thomas M.; Spitzer, Frank
41
1981
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
37
1981
The shape of the limit set in Richardson’s growth model. Zbl 0457.60083
Durrett, Richard; Liggett, Thomas M.
36
1981
Long range exclusion processes. Zbl 0457.60079
Liggett, Thomas M.
9
1980
Interacting Markov processes. Zbl 0457.60080
Liggett, Thomas M.
1
1980
Random invariant measures for Markov chains and independent particle systems. Zbl 0373.60076
Liggett, Thomas M.
20
1978
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
17
1978
Attractive nearest neighbor spin systems on the integers. Zbl 0381.60095
Liggett, Thomas M.
6
1978
The stochastic evolution of infinite systems of interacting particles. Zbl 0363.60109
Liggett, T. M.
22
1977
Ergodic theorems for the asymmetric simple exclusion process II. Zbl 0378.60104
Liggett, Thomas M.
13
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.
4
1977
Extensions of the Erdős-Ko-Rado theorem and a statistical application. Zbl 0361.05011
Liggett, Thomas M.
1
1977
Coupling the simple exclusion process. Zbl 0339.60091
Liggett, Thomas M.
50
1976
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
136
1975
Ergodic theorems for the asymmetric simple exclusion process. Zbl 0322.60086
Liggett, Thomas M.
30
1975
A characterization of the invariant measures for an infinite particle system with interactions. II. Zbl 0364.60118
Liggett, Thomas M.
14
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.
25
1973
A characterization of the invariant measures for an infinite particle system with interactions. Zbl 0268.60090
Liggett, Thomas M.
16
1973
Existence theorems for infinite particle systems. Zbl 0239.60072
Liggett, Thomas M.
34
1972
Optimal stopping for partial sums. Zbl 0244.60037
Darling, D. A.; Liggett, T.; Taylor, H. M.
23
1972
Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038
Crandall, M. G.; Liggett, T. M.
416
1971
A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037
Crandall, Michael G.; Liggett, Thomas M.
11
1971
Weak convergence of conditioned sums of independent random vectors. Zbl 0221.60018
Liggett, Thomas M.
3
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.
41
1969
An invariance principle for conditioned sums of independent random variables. Zbl 0181.20502
Liggett, T. M.
15
1968
all top 5

Cited by 2,676 Authors

37 Durrett, Richard Timothy
33 Ferrari, Pablo Augusto
32 Liggett, Thomas Milton
30 Mountford, Thomas S.
25 Redig, Frank
21 Cox, J. Theodore
21 Lanchier, Nicolas
20 Schonmann, Roberto Henrique
20 Vazquez, Juan Luis
20 Xue, Xiaofeng
19 Lebowitz, Joel Louis
19 Schinazi, Rinaldo B.
19 Vares, Maria Eulalia
18 Holroyd, Alexander E.
17 Andjel, Enrique Daniel
17 Presutti, Errico
16 Bramson, Maury D.
16 Ferrari, Patrik Lino
16 Schütz, Gunter M.
16 Sidoravicius, Vladas
15 Barral, Julien
15 Caselles Costa, Vicent
15 Greven, Andreas
15 Martinelli, Fabio
15 Wang, Jun
14 Häggström, Olle
14 Swart, Jan M.
13 Corwin, Ivan
13 Mazón Ruiz, José M.
13 Seppäläinen, Timo
12 Borodin, Alexei
12 den Hollander, Frank
12 Derrida, Bernard
12 Reich, Simeon
12 Sasamoto, Tomohiro
12 Sethuraman, Sunder
12 Sly, Allan
12 Toninelli, Cristina
11 Bahadoran, Christophe
11 Chen, Mu-Fa
11 Dai Pra, Paolo
11 De Masi, Anna
11 Giardinà, Cristian
11 Griffeath, David
11 Landim, Claudio
11 Neuhauser, Claudia
11 Peres, Yuval
11 Saada, Ellen
11 Steif, Jeffrey E.
10 Belitsky, Vladimir
10 Chen, Dayue
10 Gonçalves, Patrícia C.
10 Gurvich, Vladimir A.
10 Jara, Milton D.
10 Maes, Christian
10 Pemantle, Robin
10 Webb, Glenn Francis
10 Zucca, Fabio
9 Andreu, Fuensanta
9 Boros, Endre
9 Cerf, Raphaël
9 Fitzgibbon, William Edward
9 Galves, Antonio
9 Kobayashi, Yoshikazu
9 Külske, Christof
9 Spohn, Herbert
9 Tanaka, Naoki
9 van den Berg, Rob
8 Aldous, David John
8 Asselah, Amine
8 Bertacchi, Daniela
8 Chayes, Lincoln
8 Damron, Michael
8 Duminil-Copin, Hugo
8 Elbassioni, Khaled M.
8 Faggionato, Alessandra
8 Gravner, Janko
8 Guiol, Hervé
8 Hirsch, Christian
8 Hoffman, Christopher
8 Kondrat’yev, Yuriĭ Grygorovych
8 Lin, Chinyuan
8 Makino, Kazuhisa
8 Mossel, Elchanan
8 Quastel, Jeremy
8 Rassoul-Agha, Firas
8 Ravishankar, Krishnamurthi
8 Schreiber, Tomasz
8 Szekli, Ryszard
8 Zegarlinski, Boguslaw
7 Alonso Rodríguez, Ana
7 Angel, Omer
7 Benjamini, Itai
7 Bollobás, Béla
7 Buraczewski, Dariusz
7 Caputo, Pietro
7 Carinci, Gioia
7 Huillet, Thierry E.
7 Javier López, F.
7 Kesten, Harry
...and 2,576 more Authors
all top 5

Cited in 352 Serials

270 Journal of Statistical Physics
162 The Annals of Probability
162 Stochastic Processes and their Applications
122 Probability Theory and Related Fields
102 The Annals of Applied Probability
83 Communications in Mathematical Physics
51 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
46 Journal of Mathematical Analysis and Applications
40 Advances in Applied Probability
39 Journal of Applied Probability
37 Journal of Differential Equations
37 Nonlinear Analysis. Theory, Methods & Applications
35 Transactions of the American Mathematical Society
32 Journal of Theoretical Probability
31 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
29 Physica A
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Journal of Statistical Mechanics: Theory and Experiment
24 Israel Journal of Mathematics
24 Journal of Functional Analysis
23 Advances in Mathematics
23 ALEA. Latin American Journal of Probability and Mathematical Statistics
21 Journal of Mathematical Physics
21 Electronic Journal of Probability
20 Proceedings of the American Mathematical Society
20 Statistics & Probability Letters
18 Journal of Theoretical Biology
15 Communications on Pure and Applied Mathematics
14 Electronic Communications in Probability
14 Bernoulli
14 Proceedings of the Japan Academy
13 Journal of Mathematical Biology
13 Mathematical Biosciences
13 Theoretical Population Biology
13 Brazilian Journal of Probability and Statistics
12 Physics Letters. A
10 Bulletin of Mathematical Biology
10 Theoretical Computer Science
10 Physica D
10 Random Structures & Algorithms
10 Acta Mathematica Sinica. New Series
9 Journal of Combinatorial Theory. Series A
9 Journal of Soviet Mathematics
9 Queueing Systems
8 Proceedings of the Japan Academy. Series A
8 Bulletin of the American Mathematical Society. New Series
8 Journal of the European Mathematical Society (JEMS)
8 Probability Surveys
7 Chaos, Solitons and Fractals
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Applied Mathematics and Computation
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Potential Analysis
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
7 Chaos
7 Stochastics
7 Frontiers of Mathematics in China
6 Archive for Rational Mechanics and Analysis
6 Computers & Mathematics with Applications
6 Journal of Computational Physics
6 Duke Mathematical Journal
6 Journal of Computational and Applied Mathematics
6 Semigroup Forum
6 Advances in Applied Mathematics
6 Stochastic Analysis and Applications
6 Acta Applicandae Mathematicae
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Communications in Partial Differential Equations
6 Calculus of Variations and Partial Differential Equations
6 Combinatorics, Probability and Computing
6 Economic Theory
6 Mathematical Physics, Analysis and Geometry
6 Acta Mathematica Sinica. English Series
6 Journal of Evolution Equations
6 Stochastic Models
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal d’Analyse Mathématique
5 Physics Reports
5 International Journal of Game Theory
5 The Journal of Mathematical Sociology
5 Mathematische Annalen
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Information and Computation
5 SIAM Journal on Mathematical Analysis
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Annales Henri Poincaré
4 Discrete Applied Mathematics
4 Letters in Mathematical Physics
4 Problems of Information Transmission
4 Information Sciences
4 Inventiones Mathematicae
4 Mathematische Nachrichten
4 Nagoya Mathematical Journal
4 Mathematical Social Sciences
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Acta Mathematicae Applicatae Sinica. English Series
4 Mathematical and Computer Modelling
4 Science in China. Series A
...and 252 more Serials
all top 5

Cited in 57 Fields

1,594 Probability theory and stochastic processes (60-XX)
830 Statistical mechanics, structure of matter (82-XX)
287 Partial differential equations (35-XX)
266 Operator theory (47-XX)
220 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
198 Biology and other natural sciences (92-XX)
176 Combinatorics (05-XX)
113 Ordinary differential equations (34-XX)
98 Dynamical systems and ergodic theory (37-XX)
94 Computer science (68-XX)
67 Numerical analysis (65-XX)
65 Statistics (62-XX)
64 Operations research, mathematical programming (90-XX)
47 Fluid mechanics (76-XX)
42 Calculus of variations and optimal control; optimization (49-XX)
38 Functional analysis (46-XX)
38 Quantum theory (81-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
34 Measure and integration (28-XX)
34 Systems theory; control (93-XX)
26 Global analysis, analysis on manifolds (58-XX)
21 Real functions (26-XX)
18 Number theory (11-XX)
18 Information and communication theory, circuits (94-XX)
16 Integral equations (45-XX)
15 Group theory and generalizations (20-XX)
12 Special functions (33-XX)
11 Difference and functional equations (39-XX)
11 Differential geometry (53-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 Functions of a complex variable (30-XX)
9 Abstract harmonic analysis (43-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Convex and discrete geometry (52-XX)
7 Mathematical logic and foundations (03-XX)
7 Algebraic geometry (14-XX)
7 Topological groups, Lie groups (22-XX)
5 Potential theory (31-XX)
5 General topology (54-XX)
5 Mechanics of deformable solids (74-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Nonassociative rings and algebras (17-XX)
4 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Sequences, series, summability (40-XX)
3 Integral transforms, operational calculus (44-XX)
3 Mechanics of particles and systems (70-XX)
3 Relativity and gravitational theory (83-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
2 Astronomy and astrophysics (85-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)
1 Mathematics education (97-XX)

Citations by Year

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