×

zbMATH — the first resource for mathematics

Külske, Christof

Compute Distance To:
Author ID: kulske.christof Recent zbMATH articles by "Külske, Christof"
Published as: Kuelske, C.; Külske, C.; Külske, Christof
Documents Indexed: 66 Publications since 1992, including 1 Book

Publications by Year

Citations contained in zbMATH

59 Publications have been cited 347 times in 151 Documents Cited by Year
Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry. Zbl 1138.82012
Külske, Christof; Le Ny, Arnaud
24
2007
Loss without recovery of gibbsianness during diffusion of continuous spins. Zbl 1095.60027
Külske, Christof; Redig, Frank
19
2006
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022
Külske, C.; Rozikov, U. A.; Khakimov, R. M.
18
2014
The posterior metric and the goodness of gibbsianness for transforms of Gibbs measures. Zbl 1190.60096
Külske, Christof; Opoku, Alex A.
16
2008
Concentration inequalities for random fields via coupling. Zbl 1111.60070
Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F.
16
2007
Low-temperature dynamics of the Curie-Weiss model: Periodic orbits, multiple histories, and loss of Gibbsianness. Zbl 1208.82042
Ermolaev, Victor; Külske, Christof
15
2010
Metastates in disordered mean-field models: Random field and Hopfield models. Zbl 0924.60092
Külske, Christof
14
1997
Relative entropy and variational properties of generalized Gibbsian measures. Zbl 1052.60042
Külske, Christof; Le Ny, Arnaud; Redig, Frank
13
2004
Gibbs-non-Gibbs properties for \(n\)-vector lattice and mean-field models. Zbl 1200.82015
van Enter, Aernout C. D.; Külske, Christof; Opoku, Alex A.; Ruszel, Wioletta M.
11
2010
Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures. Zbl 1023.60080
Külske, Christof
11
2003
Continuous spin mean-field models: limiting kernels and Gibbs properties of local transforms. Zbl 1159.81326
Külske, Christof; Opoku, Alex A.
9
2008
Gibbs properties of the fuzzy Potts model on trees and in mean field. Zbl 1210.82023
Häggström, O.; Külske, C.
9
2004
(Non-)Gibbsianness and phase transitions in random lattice spin models. Zbl 0953.60097
Külske, C.
9
1999
Parking on a random tree. Zbl 1151.82390
Dehling, H. G.; Fleurke, S. R.; Külske, C.
8
2008
Two connections between random systems and non-Gibbsian measures. Zbl 1375.82054
van Enter, Aernout C. D.; Külske, Christof
8
2007
A rigorous renormalization group method for interfaces in random media. Zbl 0802.60098
Bovier, Anton; Külske, Christof
8
1994
Gibbs-non-Gibbs properties for evolving Ising models on trees. Zbl 1255.82037
Van Enter, Aernout C. D.; Ermolaev, Victor N.; Iacobelli, Giulio; Külske, Christof
7
2012
There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media. Zbl 1081.82571
Bovier, Anton; Külske, Christof
7
1996
Phase transition and critical values of a nearest-neighbor system with uncountable local state space on Cayley trees. Zbl 1310.82015
Jahnel, Benedikt; Külske, Christof; Botirov, Golibjon I.
6
2014
Synchronization for discrete mean-field rotators. Zbl 1288.82042
Jahnel, Benedikt; Külske, Christof
6
2014
Analogues of non-Gibbsianness in joint measures of disordered mean field models. Zbl 1032.82037
Külske, Christof
6
2003
Limiting behavior of random Gibbs measures: Metastates in some disordered mean field models. Zbl 0896.60081
Külske, C.
6
1998
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
5
2017
Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry. Zbl 1193.82020
Iacobelli, Giulio; Külske, Christof
5
2010
A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees. Zbl 1193.60117
Külske, Christof; Formentin, Marco
5
2009
Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\). Zbl 1141.60074
van Enter, Aernout C. D.; Külske, Christof
5
2008
A simple fluctuation lower bound for a disordered massless random continuous spin model in \(d=2\). Zbl 1119.82019
Külske, Christof; Orlandi, Enza
5
2006
Weakly Gibbsian representations for joint measures of quenched lattice spin models. Zbl 1052.82016
Külske, Christof
5
2001
Metastates in disordered mean-field models. II: The superstates. Zbl 0942.60100
Külske, Christof
5
1998
The Widom – Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality. Zbl 1390.82039
Jahnel, Benedikt; Külske, Christof
4
2017
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
4
2015
A class of nonergodic interacting particle systems with unique invariant measure. Zbl 1304.82014
Jahnel, Benedikt; Külske, Christof
4
2014
Existence of random gradient states. Zbl 1254.60095
Cotar, Codina; Külske, Christof
4
2012
Discrete approximations to vector spin models. Zbl 1252.82037
van Enter, Aernout C. D.; Külske, Christof; Opoku, Alex A.
4
2011
Dependent particle deposition on a graph: concentration properties of the height profile. Zbl 1236.82039
Fleurke, S. R.; Formentin, M.; Külske, C.
4
2011
Universal bounds on the selfaveraging of random diffraction measures. Zbl 1025.78009
Külske, Christof
4
2003
Continuous spin models on annealed generalized random graphs. Zbl 1376.82026
Dommers, S.; Külske, C.; Schriever, P.
3
2017
A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit. Zbl 1315.82005
Jahnel, Benedikt; Külske, Christof
3
2015
Gibbsian and non-Gibbsian properties of the generalized mean-field fuzzy Potts-model. Zbl 1318.82012
Jahnel, B.; Külske, C.; Rudelli, E.; Wegener, J.
3
2014
Multilayer parking with screening on a random tree. Zbl 1191.82030
Fleurke, S. R.; Külske, C.
3
2010
On the purity of the free boundary condition Potts measure on random trees. Zbl 1181.60147
Formentin, Marco; Külske, Christof
3
2009
Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models. Zbl 1428.82013
Kissel, Sascha; Külske, Christof
2
2019
Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction: closing the Ising gap. Zbl 07066249
Henning, Florian; Kraaij, Richard C.; Külske, Christof
2
2019
Sharp thresholds for Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction. Zbl 1391.82011
Jahnel, Benedikt; Külske, Christof
2
2017
Attractor properties of non-reversible dynamics w.r.t. invariant Gibbs measures on the lattice. Zbl 1373.82047
Jahnel, B.; Külske, C.
2
2016
A second-row parking paradox. Zbl 1180.82039
Fleurke, S. R.; Külske, C.
2
2009
Dynamical Gibbs-non-Gibbs transitions in lattice Widom-Rowlinson models with hard-core and soft-core interactions. Zbl 1434.82017
Kissel, Sascha; Külske, Christof
1
2020
Attractor properties for irreversible and reversible interacting particle systems. Zbl 07040431
Jahnel, Benedikt; Külske, Christof
1
2019
Extremal decomposition for random Gibbs measures: from general metastates to metastates on extremal random Gibbs measures. Zbl 1410.82011
Cotar, Codina; Jahnel, Benedikt; Külske, Christof
1
2018
Gradient Gibbs measures and fuzzy transformations on trees. Zbl 1391.82021
Külske, C.; Schriever, P.
1
2017
Uniqueness of gradient Gibbs measures with disorder. Zbl 1334.60207
Cotar, Codina; Külske, Christof
1
2015
Metastates in mean-field models with random external fields generated by Markov chains. Zbl 1246.82015
Formentin, M.; Külske, C.; Reichenbachs, A.
1
2012
Continuous interfaces with disorder: Even strong pinning is too weak in two dimensions. Zbl 1151.60348
Külske, Christof; Orlandi, Enza
1
2008
Coarse-graining techniques for (random) Kac models. Zbl 1081.82008
Bovier, Anton; Külske, Christof
1
2005
How non-Gibbsianness helps a metastable Morita minimizer to provide a stable free energy. Zbl 1069.60047
Külske, C.
1
2004
On the Gibbsian nature of the random field Kac model under block-averaging. Zbl 1034.82025
Külske, Christof
1
2001
The continuous spin random field model: ferromagnetic ordering in \(d\geq3\). Zbl 1039.82019
Külske, Christof
1
1999
A random energy model for size dependence: Recurrence vs. transience. Zbl 0908.60038
Külske, Christof
1
1998
Stability of hierarchical interfaces in a random field model. Zbl 0893.60071
Bovier, Anton; Külske, Christof
1
1992
Dynamical Gibbs-non-Gibbs transitions in lattice Widom-Rowlinson models with hard-core and soft-core interactions. Zbl 1434.82017
Kissel, Sascha; Külske, Christof
1
2020
Dynamical Gibbs-non-Gibbs transitions in Curie-Weiss Widom-Rowlinson models. Zbl 1428.82013
Kissel, Sascha; Külske, Christof
2
2019
Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction: closing the Ising gap. Zbl 07066249
Henning, Florian; Kraaij, Richard C.; Külske, Christof
2
2019
Attractor properties for irreversible and reversible interacting particle systems. Zbl 07040431
Jahnel, Benedikt; Külske, Christof
1
2019
Extremal decomposition for random Gibbs measures: from general metastates to metastates on extremal random Gibbs measures. Zbl 1410.82011
Cotar, Codina; Jahnel, Benedikt; Külske, Christof
1
2018
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree. Zbl 1368.05068
Külske, Christof; Rozikov, Utkir A.
5
2017
The Widom – Rowlinson model under spin flip: immediate loss and sharp recovery of quasilocality. Zbl 1390.82039
Jahnel, Benedikt; Külske, Christof
4
2017
Continuous spin models on annealed generalized random graphs. Zbl 1376.82026
Dommers, S.; Külske, C.; Schriever, P.
3
2017
Sharp thresholds for Gibbs-non-Gibbs transitions in the fuzzy Potts model with a Kac-type interaction. Zbl 1391.82011
Jahnel, Benedikt; Külske, Christof
2
2017
Gradient Gibbs measures and fuzzy transformations on trees. Zbl 1391.82021
Külske, C.; Schriever, P.
1
2017
Attractor properties of non-reversible dynamics w.r.t. invariant Gibbs measures on the lattice. Zbl 1373.82047
Jahnel, B.; Külske, C.
2
2016
Extremality of translation-invariant phases for a three-state SOS-model on the binary tree. Zbl 1357.82023
Kuelske, C.; Rozikov, U. A.
4
2015
A class of non-ergodic probabilistic cellular automata with unique invariant measure and quasi-periodic orbit. Zbl 1315.82005
Jahnel, Benedikt; Külske, Christof
3
2015
Uniqueness of gradient Gibbs measures with disorder. Zbl 1334.60207
Cotar, Codina; Külske, Christof
1
2015
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree. Zbl 1298.82022
Külske, C.; Rozikov, U. A.; Khakimov, R. M.
18
2014
Phase transition and critical values of a nearest-neighbor system with uncountable local state space on Cayley trees. Zbl 1310.82015
Jahnel, Benedikt; Külske, Christof; Botirov, Golibjon I.
6
2014
Synchronization for discrete mean-field rotators. Zbl 1288.82042
Jahnel, Benedikt; Külske, Christof
6
2014
A class of nonergodic interacting particle systems with unique invariant measure. Zbl 1304.82014
Jahnel, Benedikt; Külske, Christof
4
2014
Gibbsian and non-Gibbsian properties of the generalized mean-field fuzzy Potts-model. Zbl 1318.82012
Jahnel, B.; Külske, C.; Rudelli, E.; Wegener, J.
3
2014
Gibbs-non-Gibbs properties for evolving Ising models on trees. Zbl 1255.82037
Van Enter, Aernout C. D.; Ermolaev, Victor N.; Iacobelli, Giulio; Külske, Christof
7
2012
Existence of random gradient states. Zbl 1254.60095
Cotar, Codina; Külske, Christof
4
2012
Metastates in mean-field models with random external fields generated by Markov chains. Zbl 1246.82015
Formentin, M.; Külske, C.; Reichenbachs, A.
1
2012
Discrete approximations to vector spin models. Zbl 1252.82037
van Enter, Aernout C. D.; Külske, Christof; Opoku, Alex A.
4
2011
Dependent particle deposition on a graph: concentration properties of the height profile. Zbl 1236.82039
Fleurke, S. R.; Formentin, M.; Külske, C.
4
2011
Low-temperature dynamics of the Curie-Weiss model: Periodic orbits, multiple histories, and loss of Gibbsianness. Zbl 1208.82042
Ermolaev, Victor; Külske, Christof
15
2010
Gibbs-non-Gibbs properties for \(n\)-vector lattice and mean-field models. Zbl 1200.82015
van Enter, Aernout C. D.; Külske, Christof; Opoku, Alex A.; Ruszel, Wioletta M.
11
2010
Metastates in finite-type mean-field models: Visibility, invisibility, and random restoration of symmetry. Zbl 1193.82020
Iacobelli, Giulio; Külske, Christof
5
2010
Multilayer parking with screening on a random tree. Zbl 1191.82030
Fleurke, S. R.; Külske, C.
3
2010
A symmetric entropy bound on the non-reconstruction regime of Markov chains on Galton-Watson trees. Zbl 1193.60117
Külske, Christof; Formentin, Marco
5
2009
On the purity of the free boundary condition Potts measure on random trees. Zbl 1181.60147
Formentin, Marco; Külske, Christof
3
2009
A second-row parking paradox. Zbl 1180.82039
Fleurke, S. R.; Külske, C.
2
2009
The posterior metric and the goodness of gibbsianness for transforms of Gibbs measures. Zbl 1190.60096
Külske, Christof; Opoku, Alex A.
16
2008
Continuous spin mean-field models: limiting kernels and Gibbs properties of local transforms. Zbl 1159.81326
Külske, Christof; Opoku, Alex A.
9
2008
Parking on a random tree. Zbl 1151.82390
Dehling, H. G.; Fleurke, S. R.; Külske, C.
8
2008
Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\). Zbl 1141.60074
van Enter, Aernout C. D.; Külske, Christof
5
2008
Continuous interfaces with disorder: Even strong pinning is too weak in two dimensions. Zbl 1151.60348
Külske, Christof; Orlandi, Enza
1
2008
Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry. Zbl 1138.82012
Külske, Christof; Le Ny, Arnaud
24
2007
Concentration inequalities for random fields via coupling. Zbl 1111.60070
Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F.
16
2007
Two connections between random systems and non-Gibbsian measures. Zbl 1375.82054
van Enter, Aernout C. D.; Külske, Christof
8
2007
Loss without recovery of gibbsianness during diffusion of continuous spins. Zbl 1095.60027
Külske, Christof; Redig, Frank
19
2006
A simple fluctuation lower bound for a disordered massless random continuous spin model in \(d=2\). Zbl 1119.82019
Külske, Christof; Orlandi, Enza
5
2006
Coarse-graining techniques for (random) Kac models. Zbl 1081.82008
Bovier, Anton; Külske, Christof
1
2005
Relative entropy and variational properties of generalized Gibbsian measures. Zbl 1052.60042
Külske, Christof; Le Ny, Arnaud; Redig, Frank
13
2004
Gibbs properties of the fuzzy Potts model on trees and in mean field. Zbl 1210.82023
Häggström, O.; Külske, C.
9
2004
How non-Gibbsianness helps a metastable Morita minimizer to provide a stable free energy. Zbl 1069.60047
Külske, C.
1
2004
Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measures. Zbl 1023.60080
Külske, Christof
11
2003
Analogues of non-Gibbsianness in joint measures of disordered mean field models. Zbl 1032.82037
Külske, Christof
6
2003
Universal bounds on the selfaveraging of random diffraction measures. Zbl 1025.78009
Külske, Christof
4
2003
Weakly Gibbsian representations for joint measures of quenched lattice spin models. Zbl 1052.82016
Külske, Christof
5
2001
On the Gibbsian nature of the random field Kac model under block-averaging. Zbl 1034.82025
Külske, Christof
1
2001
(Non-)Gibbsianness and phase transitions in random lattice spin models. Zbl 0953.60097
Külske, C.
9
1999
The continuous spin random field model: ferromagnetic ordering in \(d\geq3\). Zbl 1039.82019
Külske, Christof
1
1999
Limiting behavior of random Gibbs measures: Metastates in some disordered mean field models. Zbl 0896.60081
Külske, C.
6
1998
Metastates in disordered mean-field models. II: The superstates. Zbl 0942.60100
Külske, Christof
5
1998
A random energy model for size dependence: Recurrence vs. transience. Zbl 0908.60038
Külske, Christof
1
1998
Metastates in disordered mean-field models: Random field and Hopfield models. Zbl 0924.60092
Külske, Christof
14
1997
There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media. Zbl 1081.82571
Bovier, Anton; Külske, Christof
7
1996
A rigorous renormalization group method for interfaces in random media. Zbl 0802.60098
Bovier, Anton; Külske, Christof
8
1994
Stability of hierarchical interfaces in a random field model. Zbl 0893.60071
Bovier, Anton; Külske, Christof
1
1992
all top 5

Cited by 164 Authors

34 Külske, Christof
13 Redig, Frank
12 van Enter, Aernout C. D.
10 Rozikov, Utkir A.
6 Chazottes, Jean-René
6 Jahnel, Benedikt
6 Khakimov, R. M.
6 Ruszel, Wioletta Magdalena
5 Le Ny, Arnaud
5 Rahmatullaev, Muzaffar
4 Collet, Pierre
4 Cotar, Codina
4 Kontorovich, Leonid Aryeh
3 Baake, Michael
3 Botirov, Golibjon I.
3 Bovier, Anton
3 Damron, Michael
3 den Hollander, Frank
3 Dommers, Sander
3 Fernández, Roberto
3 Fidaleo, Francesco
3 Kraaij, Richard Clemens
3 Löwe, Matthias
3 Opoku, Alex Akwasi
3 Picco, Pierre
3 Shcherbakov, Vadim
2 Ahmad, Mohd Ali Khameini
2 Arguin, Louis-Pierre
2 Barreto, Stephen Dias
2 Bissacot, Rodrigo
2 Chatterjee, Sourav
2 Collet, Francesca
2 Crawford, Nicholas
2 Eichelsbacher, Peter
2 Endo, Eric Ossami
2 Ermolaev, Victor N.
2 Fleurke, S. R.
2 Gallo, Sandro
2 Giacomin, Giambattista
2 Giardinà, Cristian
2 Haydarov, Farhod Halimjonovich
2 Iacobelli, Giulio
2 Khatamov, N. M.
2 Kovchegov, Yevgeniy V.
2 Louis, Pierre-Yves
2 Menshikov, Mikhail V.
2 Orlandi, Enza
2 Otto, Peter Tak-Hun
2 Roelly, Sylvie
2 Saburov, Mansoor
2 Schriever, Philipp
2 Sly, Allan
2 Stein, Daniel L.
2 Sudbury, Aidan
2 Toninelli, Fabio Lucio
2 van Zuijlen, Willem B.
2 Verbitski, Evgeny
2 Wang, Feijia
1 Akama, Yohji
1 Armendáriz, Inés
1 Bálint, András
1 Birkner, Matthias
1 Bogachev, Leonid V.
1 Bricmont, Jean
1 Camia, Federico
1 Carinci, Gioia
1 Cassandro, Marzio
1 Contucci, Pierluigi
1 Coquille, Loren
1 Costa, Matheus
1 Dereudre, David
1 Deuschel, Jean-Dominique
1 Dey, Partha Sarathi
1 Dhara, Souvik
1 Di Crescenzo, Antonio
1 Eshkabilov, Yusup Khalbaevich
1 Ferrari, Pablo Augusto
1 Fontes, Luiz Renato G.
1 Formentin, Marco
1 Gallo, Ignacio
1 Gandolfo, Daniel
1 Garcia, Nancy L.
1 Gheissari, Reza
1 Giberti, Claudio
1 González-Navarrete, Manuel
1 Gravner, Janko
1 He, Fangchao
1 Henning, Florian
1 Hernández, José C.
1 Iizuka, Shinji
1 Junge, Matthew
1 Khaidarov, F. Kh.
1 Khakimov, Otabek N.
1 Khaydarov, F. Kh.
1 Kimura, Bruno
1 Kissel, Sascha
1 Knöpfel, Holger
1 Kozitsky, Yuri V.
1 Kozlovskii, Mykhailo
1 Kratz, Marie-France
...and 64 more Authors

Citations by Year