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Borgs, Christian

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Author ID: borgs.christian Recent zbMATH articles by "Borgs, Christian"
Published as: Borgs, Christian; Borgs, C.
Homepage: https://www.microsoft.com/en-us/research/people/borgs/?from=http%3A%2F%2Fresearc...
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Documents Indexed: 81 Publications since 1986

Publications by Year

Citations contained in zbMATH Open

73 Publications have been cited 1,053 times in 705 Documents Cited by Year
Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing. Zbl 1213.05161
Borgs, C.; Chayes, J. T.; Lovász, L.; Sós, V. T.; Vesztergombi, K.
158
2008
Convergent sequences of dense graphs. II. Multiway cuts and statistical physics. Zbl 1247.05124
Borgs, Christian; Chayes, Jennifer T.; Lovász, László; Sós, Vera T.; Vesztergombi, Katalin
77
2012
Counting graph homomorphisms. Zbl 1129.05050
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera T.; Vesztergombi, Katalin
55
2006
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
50
2010
Directed scale-free graphs. Zbl 1094.68605
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
47
2003
On the spread of viruses on the Internet. Zbl 1297.68029
Berger, Noam; Borgs, Christian; Chayes, Jennifer T.; Saberi, Amin
43
2005
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
37
2001
Graph limits and parameter testing. Zbl 1301.68199
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera T.; Szegedy, Balázs; Vesztergombi, Katalin
34
2006
Random subgraphs of finite graphs. I: The scaling window under the triangle condition. Zbl 1076.05071
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
33
2005
Random subgraphs of finite graphs. II: The lace expansion and the triangle condition. Zbl 1079.05087
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
31
2005
A unified approach to phase diagrams in field theory and statistical mechanics. Zbl 0668.60092
Borgs, Christian; Imbrie, John Z.
29
1989
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
27
2001
Left and right convergence of graphs with bounded degree. Zbl 1257.05172
Borgs, Christian; Chayes, Jennifer; Kahn, Jeff; Lovász, László
24
2013
An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence. Zbl 1386.05099
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei
23
2018
Asymptotic behavior and distributional limits of preferential attachment graphs. Zbl 1296.60010
Berger, Noam; Borgs, Christian; Chayes, Jennifer T.; Saberi, Amin
20
2014
Random subgraphs of finite graphs. III: The phase transition for the \(n\)-cube. Zbl 1121.05108
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
19
2006
Maximizing social influence in nearly optimal time. Zbl 1420.68248
Borgs, Christian; Brautbar, Michael; Chayes, Jennifer; Lucier, Brendan
18
2014
An \(L^p\) theory of sparse graph convergence. I: Limits, sparse random graph models, and power law distributions. Zbl 1417.05186
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei
16
2019
Tight bounds for mixing of the Swendsen-Wang algorithm at the Potts transition point. Zbl 1250.60034
Borgs, Christian; Chayes, Jennifer T.; Tetali, Prasad
15
2012
Low temperature phase diagrams for quantum perturbations of classical spin systems. Zbl 0858.60097
Borgs, C.; Kotecký, R.; Ueltschi, D.
15
1996
Limits of randomly grown graph sequences. Zbl 1229.05247
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera; Vesztergombi, Katalin
14
2011
Partition function zeros at first-order phase transitions: a general analysis. Zbl 1088.82010
Biskup, M.; Borgs, C.; Chayes, J. T.; Kleinwaks, L. J.; Kotecký, R.
13
2004
First to market is not everything: an analysis of preferential attachment with fitness. Zbl 1232.68018
Borgs, Christian; Chayes, Jennifer
13
2007
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
12
1999
Gibbs states of graphical representations of the Potts model with external fields. Zbl 0977.82012
Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R.
12
2000
Absence of zeros for the chromatic polynomial on bounded degree graphs. Zbl 1082.05034
Borgs, Christian
12
2006
Partition function zeros at first-order phase transitions: Pirogov-Sinai theory. Zbl 1142.82328
Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R.
12
2004
Bargaining dynamics in exchange networks. Zbl 1314.91112
Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Kanoria, Yash; Montanari, Andrea
10
2015
How to distribute antidote to control epidemics. Zbl 1247.05247
Borgs, Christian; Chayes, Jennifer; Ganesh, Ayalvadi; Saberi, Amin
9
2010
Percolation on dense graph sequences. Zbl 1190.60090
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
9
2010
Special issue: Probabilistic techniques in equilibrium and nonequilibrium statistical physics. Zbl 0969.00035
Borgs, Christian (ed.); Tour Chayes, Jennifer (ed.)
9
2000
Degree distribution of the FKP network model. Zbl 1039.68510
Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
8
2003
Belief propagation for weighted b-matchings on arbitrary graphs and its relation to linear programs with integer solutions. Zbl 1225.68130
Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Zecchina, Riccardo
8
2011
The van den Berg-Kesten-Reimer inequality: a review. Zbl 1115.82320
Borgs, C.; Chayes, J. T.; Randall, D.
8
1999
The covariance matrix of the Potts model: a random cluster analysis. Zbl 1042.82510
Borgs, C.; Chayes, J. T.
8
1996
Phase transition and finite-size scaling for the integer partitioning problem. Zbl 1014.05009
Borgs, Christian; Chayes, Jennifer; Pittel, Boris
7
2001
Phase diagram for the constrained integer partitioning problem. Zbl 1049.90073
Borgs, C.; Chayes, J. T.; Mertens, S.; Pittel, B.
6
2004
The myth of the folk theorem. Zbl 1207.91012
Borgs, Christian; Chayes, Jennifer; Immorlica, Nicole; Kalai, Adam Tauman; Mirrokni, Vahab; Papadimitriou, Christos
6
2010
On the sampling problem for \(H\)-colorings on the hypercube lattice. Zbl 1074.05032
Borgs, Christian; Chayes, Jennifer T.; Dyer, Martin; Tetali, Prasad
5
2004
Proof of the local REM conjecture for number partitioning. II. Growing energy scales. Zbl 1160.05304
Borgs, Christian; Chayes, Jennifer; Mertens, Stephan; Nair, Chandra
5
2009
Convergent sequences of sparse graphs: a large deviations approach. Zbl 1370.05119
Borgs, Christian; Chayes, Jennifer; Gamarnik, David
5
2017
Fast convergence of natural bargaining dynamics in exchange networks. Zbl 1377.91106
Kanoria, Yashodhan; Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Montanari, Andrea
5
2011
First order phase transitions in unbounded spin systems. I: Construction of the phase diagram. Zbl 0689.60088
Borgs, Christian; Waxler, Roger
5
1989
Finite-size scaling and surface tension from effective one dimensional systems. Zbl 0754.60129
Borgs, Christian; Imbrie, John Z.
5
1992
First order phase transitions in unbounded spin systems. II: Completeness of the phase diagram. Zbl 0719.60121
Borgs, Christian; Waxler, Roger
5
1990
Local computation of pagerank contributions. Zbl 1206.68346
Andersen, Reid; Borgs, Christian; Chayes, Jennifer; Hopcroft, John; Mirrokni, Vahab; Teng, Shang-Hua
4
2008
A sublinear time algorithm for PageRank computations. Zbl 1342.05181
Borgs, Christian; Brautbar, Michael; Chayes, Jennifer; Teng, Shang-Hua
4
2012
Mean-field lattice trees. Zbl 0934.60089
Borgs, Christian; Chayes, Jennifer; van der Hofstad, Remco; Slade, Gordon
4
1999
Surface-induced finite-size effects for first-order phase transitions. Zbl 1081.82517
Borgs, C.; Kotecký, R.
4
1995
The optimal admission threshold in observable queues with state dependent pricing. Zbl 1302.90042
Borgs, Christian; Chayes, Jennifer T.; Doroudi, Sherwin; Harchol-Balter, Mor; Xu, Kuang
4
2014
The myth of the folk theorem. Zbl 1231.91006
Borgs, Christian; Chayes, Jennifer; Immortica, Nicole; Kalai, Adam Tauman; Mirrokni, Vahab; Papadimitriou, Christos
4
2008
Sampling perspectives on sparse exchangeable graphs. Zbl 1448.60025
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Veitch, Victor
4
2019
Finite-size effects for the Potts model with weak boundary conditions. Zbl 1027.82008
Borgs, C.; Kotecký, R.; Medved’, I.
3
2002
Degree distribution of competition-induced preferential attachment graphs. Zbl 1087.05050
Berger, N.; Borgs, C.; Chayes, J. T.; D’Souza, R. M.; Kleinberg, R. D.
3
2005
Proof of the local REM conjecture for number partitioning. I: Constant energy scales. Zbl 1160.05303
Borgs, Christian; Chayes, Jennifer; Mertens, Stephan; Nair, Chandra
3
2009
Symmetry breaking in Landau gauge. A comment to a paper by T. Kennedy and C. King. Zbl 0593.46062
Borgs, Christian; Nill, Florian
3
1986
The staggered charge-order phase of the extended Hubbard model in the atomic limit. Zbl 0946.81523
Borgs, Christian; Jędrzejewski, Janusz; Kitecký, Roman
3
1996
Sharp threshold and scaling window for the integer partitioning problem. Zbl 1323.68311
Borgs, Christian; Chayes, Jennifer; Pittel, Boris
3
2001
Entropy-SGD: biasing gradient descent into wide valleys. Zbl 1459.65091
Chaudhari, Pratik; Choromanska, Anna; Soatto, Stefano; LeCun, Yann; Baldassi, Carlo; Borgs, Christian; Chayes, Jennifer; Sagun, Levent; Zecchina, Riccardo
3
2019
Competition-induced preferential attachment. Zbl 1098.68009
Berger, N.; Borgs, C.; Chayes, J. T.; D’Souza, R. M.; Kleinberg, R. D.
2
2004
Confinement, deconfinement and freezing in lattice Yang-Mills theories with continuous time. Zbl 1223.81145
Borgs, Christian
2
1988
Dobrushin states in quantum lattice systems. Zbl 0888.60093
Borgs, C.; Chayes, J. T.; Fröhlich, J.
2
1997
Crossover finite-size scaling at first-order transitions. Zbl 0893.60075
Borgs, Christian; Imbrie, John Z.
2
1992
Low temperature phase diagrams of fermionic lattice systems. Zbl 0979.82004
Borgs, C.; Kotecký, R.
2
2000
An axiomatic approach to community detection. Zbl 1334.91061
Borgs, Christian; Chayes, Jennifer; Marple, Adrian; Teng, Shang-Hua
2
2016
Finding endogenously formed communities. Zbl 1422.68203
Balcan, Maria-Florina; Borgs, Christian; Braverman, Mark; Chayes, Jennifer; Teng, Shang-Hua
2
2013
Degree distribution of the FKP network model. Zbl 1149.90030
Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
2
2007
Game-theoretic models of information overload in social networks. Zbl 1310.91034
Borgs, Christian; Chayes, Jennifer; Karrer, Brian; Meeder, Brendan; Ravi, R.; Reagans, Ray; Sayedi, Amin
1
2010
Dobrushin states for classical spin systems with complex interactions. Zbl 0945.82516
Borgs, C.; Chayes, J. T.; Fröhlich, J.
1
1997
Finite-size scaling of the mass-gap for first-order phase transitions. Zbl 0989.82509
Borgs, Christian
1
1993
Meissner phase for a model of oriented flux lines. Zbl 0877.60067
Borgs, C.; Chayes, J. T.; King, C.
1
1995
Anisotropic self-avoiding walks. Zbl 1052.82013
Borgs, Christian; Chayes, Jennifer; King, Christopher; Madras, Neal
1
2000
Local computation of PageRank contributions. Zbl 1136.68316
Andersen, Reid; Borgs, Christian; Chayes, Jennifer; Hopcraft, John; Mirrokni, Vahab S.; Teng, Shang-Hua
1
2007
An \(L^p\) theory of sparse graph convergence. I: Limits, sparse random graph models, and power law distributions. Zbl 1417.05186
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei
16
2019
Sampling perspectives on sparse exchangeable graphs. Zbl 1448.60025
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Veitch, Victor
4
2019
Entropy-SGD: biasing gradient descent into wide valleys. Zbl 1459.65091
Chaudhari, Pratik; Choromanska, Anna; Soatto, Stefano; LeCun, Yann; Baldassi, Carlo; Borgs, Christian; Chayes, Jennifer; Sagun, Levent; Zecchina, Riccardo
3
2019
An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence. Zbl 1386.05099
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei
23
2018
Convergent sequences of sparse graphs: a large deviations approach. Zbl 1370.05119
Borgs, Christian; Chayes, Jennifer; Gamarnik, David
5
2017
An axiomatic approach to community detection. Zbl 1334.91061
Borgs, Christian; Chayes, Jennifer; Marple, Adrian; Teng, Shang-Hua
2
2016
Bargaining dynamics in exchange networks. Zbl 1314.91112
Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Kanoria, Yash; Montanari, Andrea
10
2015
Asymptotic behavior and distributional limits of preferential attachment graphs. Zbl 1296.60010
Berger, Noam; Borgs, Christian; Chayes, Jennifer T.; Saberi, Amin
20
2014
Maximizing social influence in nearly optimal time. Zbl 1420.68248
Borgs, Christian; Brautbar, Michael; Chayes, Jennifer; Lucier, Brendan
18
2014
The optimal admission threshold in observable queues with state dependent pricing. Zbl 1302.90042
Borgs, Christian; Chayes, Jennifer T.; Doroudi, Sherwin; Harchol-Balter, Mor; Xu, Kuang
4
2014
Left and right convergence of graphs with bounded degree. Zbl 1257.05172
Borgs, Christian; Chayes, Jennifer; Kahn, Jeff; Lovász, László
24
2013
Finding endogenously formed communities. Zbl 1422.68203
Balcan, Maria-Florina; Borgs, Christian; Braverman, Mark; Chayes, Jennifer; Teng, Shang-Hua
2
2013
Convergent sequences of dense graphs. II. Multiway cuts and statistical physics. Zbl 1247.05124
Borgs, Christian; Chayes, Jennifer T.; Lovász, László; Sós, Vera T.; Vesztergombi, Katalin
77
2012
Tight bounds for mixing of the Swendsen-Wang algorithm at the Potts transition point. Zbl 1250.60034
Borgs, Christian; Chayes, Jennifer T.; Tetali, Prasad
15
2012
A sublinear time algorithm for PageRank computations. Zbl 1342.05181
Borgs, Christian; Brautbar, Michael; Chayes, Jennifer; Teng, Shang-Hua
4
2012
Limits of randomly grown graph sequences. Zbl 1229.05247
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera; Vesztergombi, Katalin
14
2011
Belief propagation for weighted b-matchings on arbitrary graphs and its relation to linear programs with integer solutions. Zbl 1225.68130
Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Zecchina, Riccardo
8
2011
Fast convergence of natural bargaining dynamics in exchange networks. Zbl 1377.91106
Kanoria, Yashodhan; Bayati, Mohsen; Borgs, Christian; Chayes, Jennifer; Montanari, Andrea
5
2011
Moments of two-variable functions and the uniqueness of graph limits. Zbl 1223.05193
Borgs, Christian; Chayes, Jennifer; Lovász, László
50
2010
How to distribute antidote to control epidemics. Zbl 1247.05247
Borgs, Christian; Chayes, Jennifer; Ganesh, Ayalvadi; Saberi, Amin
9
2010
Percolation on dense graph sequences. Zbl 1190.60090
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
9
2010
The myth of the folk theorem. Zbl 1207.91012
Borgs, Christian; Chayes, Jennifer; Immorlica, Nicole; Kalai, Adam Tauman; Mirrokni, Vahab; Papadimitriou, Christos
6
2010
Game-theoretic models of information overload in social networks. Zbl 1310.91034
Borgs, Christian; Chayes, Jennifer; Karrer, Brian; Meeder, Brendan; Ravi, R.; Reagans, Ray; Sayedi, Amin
1
2010
Proof of the local REM conjecture for number partitioning. II. Growing energy scales. Zbl 1160.05304
Borgs, Christian; Chayes, Jennifer; Mertens, Stephan; Nair, Chandra
5
2009
Proof of the local REM conjecture for number partitioning. I: Constant energy scales. Zbl 1160.05303
Borgs, Christian; Chayes, Jennifer; Mertens, Stephan; Nair, Chandra
3
2009
Convergent sequences of dense graphs. I: Subgraph frequencies, metric properties and testing. Zbl 1213.05161
Borgs, C.; Chayes, J. T.; Lovász, L.; Sós, V. T.; Vesztergombi, K.
158
2008
Local computation of pagerank contributions. Zbl 1206.68346
Andersen, Reid; Borgs, Christian; Chayes, Jennifer; Hopcroft, John; Mirrokni, Vahab; Teng, Shang-Hua
4
2008
The myth of the folk theorem. Zbl 1231.91006
Borgs, Christian; Chayes, Jennifer; Immortica, Nicole; Kalai, Adam Tauman; Mirrokni, Vahab; Papadimitriou, Christos
4
2008
First to market is not everything: an analysis of preferential attachment with fitness. Zbl 1232.68018
Borgs, Christian; Chayes, Jennifer
13
2007
Degree distribution of the FKP network model. Zbl 1149.90030
Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
2
2007
Local computation of PageRank contributions. Zbl 1136.68316
Andersen, Reid; Borgs, Christian; Chayes, Jennifer; Hopcraft, John; Mirrokni, Vahab S.; Teng, Shang-Hua
1
2007
Counting graph homomorphisms. Zbl 1129.05050
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera T.; Vesztergombi, Katalin
55
2006
Graph limits and parameter testing. Zbl 1301.68199
Borgs, Christian; Chayes, Jennifer; Lovász, László; Sós, Vera T.; Szegedy, Balázs; Vesztergombi, Katalin
34
2006
Random subgraphs of finite graphs. III: The phase transition for the \(n\)-cube. Zbl 1121.05108
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
19
2006
Absence of zeros for the chromatic polynomial on bounded degree graphs. Zbl 1082.05034
Borgs, Christian
12
2006
On the spread of viruses on the Internet. Zbl 1297.68029
Berger, Noam; Borgs, Christian; Chayes, Jennifer T.; Saberi, Amin
43
2005
Random subgraphs of finite graphs. I: The scaling window under the triangle condition. Zbl 1076.05071
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
33
2005
Random subgraphs of finite graphs. II: The lace expansion and the triangle condition. Zbl 1079.05087
Borgs, Christian; Chayes, Jennifer T.; van der Hofstad, Remco; Slade, Gordon; Spencer, Joel
31
2005
Degree distribution of competition-induced preferential attachment graphs. Zbl 1087.05050
Berger, N.; Borgs, C.; Chayes, J. T.; D’Souza, R. M.; Kleinberg, R. D.
3
2005
Partition function zeros at first-order phase transitions: a general analysis. Zbl 1088.82010
Biskup, M.; Borgs, C.; Chayes, J. T.; Kleinwaks, L. J.; Kotecký, R.
13
2004
Partition function zeros at first-order phase transitions: Pirogov-Sinai theory. Zbl 1142.82328
Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R.
12
2004
Phase diagram for the constrained integer partitioning problem. Zbl 1049.90073
Borgs, C.; Chayes, J. T.; Mertens, S.; Pittel, B.
6
2004
On the sampling problem for \(H\)-colorings on the hypercube lattice. Zbl 1074.05032
Borgs, Christian; Chayes, Jennifer T.; Dyer, Martin; Tetali, Prasad
5
2004
Competition-induced preferential attachment. Zbl 1098.68009
Berger, N.; Borgs, C.; Chayes, J. T.; D’Souza, R. M.; Kleinberg, R. D.
2
2004
Directed scale-free graphs. Zbl 1094.68605
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
47
2003
Degree distribution of the FKP network model. Zbl 1039.68510
Berger, Noam; Bollobás, Béla; Borgs, Christian; Chayes, Jennifer; Riordan, Oliver
8
2003
Finite-size effects for the Potts model with weak boundary conditions. Zbl 1027.82008
Borgs, C.; Kotecký, R.; Medved’, I.
3
2002
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
37
2001
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
27
2001
Phase transition and finite-size scaling for the integer partitioning problem. Zbl 1014.05009
Borgs, Christian; Chayes, Jennifer; Pittel, Boris
7
2001
Sharp threshold and scaling window for the integer partitioning problem. Zbl 1323.68311
Borgs, Christian; Chayes, Jennifer; Pittel, Boris
3
2001
Gibbs states of graphical representations of the Potts model with external fields. Zbl 0977.82012
Biskup, M.; Borgs, C.; Chayes, J. T.; Kotecký, R.
12
2000
Special issue: Probabilistic techniques in equilibrium and nonequilibrium statistical physics. Zbl 0969.00035
Borgs, Christian; Tour Chayes, Jennifer
9
2000
Low temperature phase diagrams of fermionic lattice systems. Zbl 0979.82004
Borgs, C.; Kotecký, R.
2
2000
Anisotropic self-avoiding walks. Zbl 1052.82013
Borgs, Christian; Chayes, Jennifer; King, Christopher; Madras, Neal
1
2000
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
12
1999
The van den Berg-Kesten-Reimer inequality: a review. Zbl 1115.82320
Borgs, C.; Chayes, J. T.; Randall, D.
8
1999
Mean-field lattice trees. Zbl 0934.60089
Borgs, Christian; Chayes, Jennifer; van der Hofstad, Remco; Slade, Gordon
4
1999
Dobrushin states in quantum lattice systems. Zbl 0888.60093
Borgs, C.; Chayes, J. T.; Fröhlich, J.
2
1997
Dobrushin states for classical spin systems with complex interactions. Zbl 0945.82516
Borgs, C.; Chayes, J. T.; Fröhlich, J.
1
1997
Low temperature phase diagrams for quantum perturbations of classical spin systems. Zbl 0858.60097
Borgs, C.; Kotecký, R.; Ueltschi, D.
15
1996
The covariance matrix of the Potts model: a random cluster analysis. Zbl 1042.82510
Borgs, C.; Chayes, J. T.
8
1996
The staggered charge-order phase of the extended Hubbard model in the atomic limit. Zbl 0946.81523
Borgs, Christian; Jędrzejewski, Janusz; Kitecký, Roman
3
1996
Surface-induced finite-size effects for first-order phase transitions. Zbl 1081.82517
Borgs, C.; Kotecký, R.
4
1995
Meissner phase for a model of oriented flux lines. Zbl 0877.60067
Borgs, C.; Chayes, J. T.; King, C.
1
1995
Finite-size scaling of the mass-gap for first-order phase transitions. Zbl 0989.82509
Borgs, Christian
1
1993
Finite-size scaling and surface tension from effective one dimensional systems. Zbl 0754.60129
Borgs, Christian; Imbrie, John Z.
5
1992
Crossover finite-size scaling at first-order transitions. Zbl 0893.60075
Borgs, Christian; Imbrie, John Z.
2
1992
First order phase transitions in unbounded spin systems. II: Completeness of the phase diagram. Zbl 0719.60121
Borgs, Christian; Waxler, Roger
5
1990
A unified approach to phase diagrams in field theory and statistical mechanics. Zbl 0668.60092
Borgs, Christian; Imbrie, John Z.
29
1989
First order phase transitions in unbounded spin systems. I: Construction of the phase diagram. Zbl 0689.60088
Borgs, Christian; Waxler, Roger
5
1989
Confinement, deconfinement and freezing in lattice Yang-Mills theories with continuous time. Zbl 1223.81145
Borgs, Christian
2
1988
Symmetry breaking in Landau gauge. A comment to a paper by T. Kennedy and C. King. Zbl 0593.46062
Borgs, Christian; Nill, Florian
3
1986
all top 5

Cited by 1,026 Authors

33 Borgs, Christian
28 van der Hofstad, Remco W.
25 Chayes, Jennifer Tour
15 Janson, Svante
15 Lovász, László
14 Nešetřil, Jaroslav
13 Zhao, Yufei
12 Král’, Daniel
12 Nachmias, Asaf
11 Bollobás, Béla
10 Biskup, Marek
10 Hladký, Jan
10 Regts, Guus
10 Szegedy, Balázs
9 Hoppen, Carlos
8 Chayes, Lincoln
8 Kohayakawa, Yoshiharu
8 Resnick, Sidney Ira
8 Riordan, Oliver Maxim
7 Fox, Jacob
7 Heydenreich, Markus
7 Kotecký, Roman
7 Lubetzky, Eyal
7 Peres, Yuval
7 Sly, Allan
6 Bolla, Marianna
6 Chatterjee, Sourav
6 Dembo, Amir
6 Medvedev, Georgi S.
6 Ossona de Mendez, Patrice
5 Camia, Federico
5 Chung Graham, Fan-Rong King
5 Cohn, Henry Lee
5 Csikvári, Péter
5 Diaconis, Persi Warren
5 Ding, Jian
5 Durrett, Richard Timothy
5 Fernández, Roberto
5 Fröhlich, Jürg Martin
5 Garijo, Delia
5 Goodall, Andrew J.
5 Hooghiemstra, Gerard
5 Jordan, Jonathan H.
5 Lovász, László Miklós
5 Nolin, Pierre
5 Pikhurko, Oleg
5 Pittel, Boris G.
5 Sampaio, Rudini Menezes
5 Sós, Vera Turán
5 Sudan, Madhu
5 Sun, Nike
5 Ueltschi, Daniel
5 Wade, Andrew R.
5 Yin, Mei
4 Bhattacharya, Bhaswar B.
4 Das, Bikramjit
4 Doležal, Martin
4 Garavaglia, Alessandro
4 Glebov, Roman
4 Kozma, Gady
4 Montanari, Andrea
4 Patel, Viresh
4 Penrose, Mathew D.
4 Pradelski, Bary S. R.
4 Radin, Charles
4 Röllin, Adrian
4 Sivakoff, David
4 Slade, Gordon
4 Valesin, Daniel
4 Vesztergombi, Katalin L.
4 Vigoda, Eric
4 Wang, Tiandong
4 Wu, Weili
3 Alexander, Kenneth S.
3 Bachmann, Sven
3 Ben-Sasson, Eli
3 Blanca, Antonio
3 Bodineau, Thierry
3 Bovier, Anton
3 Braides, Andrea
3 Cooper, Jacob W.
3 Du, Ding-Zhu
3 Elek, Gábor
3 Fang, Qizhi
3 Frenkel, Péter E.
3 Garban, Christophe
3 Gheissari, Reza
3 Hatami, Hamed
3 Hubai, Tamás
3 Hulshof, Tim
3 Imbrie, John Z.
3 Janssen, Jeannette C. M.
3 Kaiser, Tomáš
3 Kiss, Demeter
3 Kunszenti-Kovács, Dávid
3 Kurkova, Irina A.
3 Lang, Richard
3 Lefmann, Hanno
3 Luczak, Malwina J.
3 Manolescu, Ioan
...and 926 more Authors
all top 5

Cited in 177 Serials

59 Journal of Statistical Physics
41 Random Structures & Algorithms
36 Communications in Mathematical Physics
31 European Journal of Combinatorics
27 The Annals of Probability
22 Theoretical Computer Science
22 Combinatorics, Probability and Computing
21 Probability Theory and Related Fields
16 The Annals of Applied Probability
13 Journal of Mathematical Physics
12 Stochastic Processes and their Applications
10 Advances in Mathematics
10 Journal of Applied Probability
9 Advances in Applied Probability
9 Discrete Mathematics
9 Journal of Combinatorial Theory. Series B
9 Algorithmica
8 Discrete Applied Mathematics
8 SIAM Journal on Discrete Mathematics
7 Transactions of the American Mathematical Society
7 Combinatorica
6 Israel Journal of Mathematics
6 Electronic Journal of Probability
6 Bernoulli
6 Internet Mathematics
5 Reviews in Mathematical Physics
5 The Annals of Statistics
5 Geometric and Functional Analysis. GAFA
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Computational Complexity
4 Physica A
4 Applied Mathematics and Computation
4 Information Sciences
4 Journal of Computer and System Sciences
4 Operations Research
4 Statistical Science
4 Electronic Communications in Probability
4 Theory of Computing Systems
4 Journal of Combinatorial Optimization
4 Extremes
3 Artificial Intelligence
3 Physics Reports
3 Inventiones Mathematicae
3 Journal of Graph Theory
3 Proceedings of the American Mathematical Society
3 SIAM Journal on Computing
3 Journal of the American Mathematical Society
3 Journal of Nonlinear Science
3 Chaos
3 Annals of Mathematics. Second Series
3 Journal of Machine Learning Research (JMLR)
3 Computer Science Review
2 Communications on Pure and Applied Mathematics
2 Information Processing Letters
2 Journal of Mathematical Analysis and Applications
2 Nuclear Physics. B
2 Rocky Mountain Journal of Mathematics
2 International Journal of Game Theory
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal of Economic Theory
2 Advances in Applied Mathematics
2 Acta Mathematica Hungarica
2 Physica D
2 Journal of Theoretical Probability
2 Games and Economic Behavior
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Economic Theory
2 Complexity
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Methodology and Computing in Applied Probability
2 Journal of Statistical Mechanics: Theory and Experiment
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Electronic Journal of Statistics
2 Games
2 Journal of Theoretical Biology
2 Stochastic Systems
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 Journal of the Franklin Institute
1 Metrika
1 Nonlinearity
1 Reports on Mathematical Physics
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Optimization
1 Computing
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal of Multivariate Analysis
...and 77 more Serials
all top 5

Cited in 46 Fields

378 Combinatorics (05-XX)
252 Probability theory and stochastic processes (60-XX)
203 Statistical mechanics, structure of matter (82-XX)
124 Computer science (68-XX)
67 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
54 Operations research, mathematical programming (90-XX)
33 Statistics (62-XX)
29 Quantum theory (81-XX)
26 Biology and other natural sciences (92-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Measure and integration (28-XX)
11 Functional analysis (46-XX)
10 Numerical analysis (65-XX)
8 Mathematical logic and foundations (03-XX)
8 Number theory (11-XX)
8 Ordinary differential equations (34-XX)
8 Partial differential equations (35-XX)
8 Information and communication theory, circuits (94-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Systems theory; control (93-XX)
5 Functions of a complex variable (30-XX)
5 Convex and discrete geometry (52-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral equations (45-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of deformable solids (74-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Approximations and expansions (41-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)

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