Prof. Dr. Jiří Černý

Černý, Jiří, Drewitz, Alexander, & Oswald, Pascal. (2025). On the tightness of the maximum of branching Brownian motion in random environment [Journal-article]. The Annals of Probability, 53(2). https://doi.org/10.1214/24-aop1713

Černý, J., & Locher, R. (2025). Critical and near-critical level-set percolation of the Gaussian free field on regular trees [Journal-article]. Annales de L’institut Henri Poincare (B) Probability and Statistics, 61(1), 746–767. https://doi.org/10.1214/23-AIHP1436

Birkner, M., Callegaro, A., Černý, J., Gantert, N., & Oswald, P. (2024). SURVIVAL AND COMPLETE CONVERGENCE FOR A BRANCHING ANNIHILATING RANDOM WALK. Annals of Applied Probability, 34(6), 5737–5768. https://doi.org/10.1214/24-AAP2105

Černý, Jiří. (2023). Giant component for the supercritical level-set percolation of the Gaussian free field on regular expander graphs [Journal-article]. Communications on Pure and Applied Mathematics, 76(11), 3346–3373. https://doi.org/10.1002/cpa.22112

Birkner, M., Callegaro, A., Černý, J., Gantert, N., & Oswald, P. (2023). Survival and complete convergence for a branching annihilating random walk. In Preprints Fachbereich Mathematik (Vol. 2023). Universität Basel.

Černý, J., Drewitz, A., & Oswald, P. (2023). On the tightness of the maximum of branching Brownian motion in random environment. In Preprints Fachbereich Mathematik (Vol. 2023). Universität Basel.

Černý, Jiří, Drewitz, Alexander, & Schmitz, Lars. (2023). (UN-)BOUNDED TRANSITION FRONTS FOR THE PARABOLIC ANDERSON MODEL AND THE RANDOMIZED F-KPP EQUATION [Journal-article]. Annals of Applied Probability, 33(3), 2342–2373. https://doi.org/10.1214/22-AAP1869

Černý, J., & Locher, R. (2023). Critical and near-critical level-set percolation of the Gaussian free field on regular trees. In Preprints Fachbereich Mathematik (Vol. 2023). Universität Basel.

Belius, David, Černý, Jiří, Nakajima, Shuta, & Schmidt, Marius Alexander. (2022). Triviality of the Geometry of Mixed p-Spin Spherical Hamiltonians with External Field. Journal of Statistical Physics, 186(1), 12. https://doi.org/10.1007/s10955-021-02855-6

Černý, Jiří, & Hayder, Thomas. (2022). Critical window for the vacant set left by random walk on the configuration model. Alea (Rio de Janeiro), 19(1), 231–257. https://doi.org/10.30757/ALEA.V19-10

Černý, J., & Hayder, T. (2021). Critical window for the vacant set left by random walk on the configuration model. In Preprints Fachbereich Mathematik (Vol. 2021). Universität Basel.

Belius, D., Černý, J., Nakajima, S., & Schmidt, M. (2021). Triviality of the geometry of mixed $p$-spin spherical Hamiltonians with external field. In Preprints Fachbereich Mathematik (Vol. 2021). Universität Basel.

Černý, J. (2021). Level-set percolation of the Gaussian free field on regular graphs III: giant component on expanders. In Preprints Fachbereich Mathematik (Vol. 2021). Universität Basel.

Černý, J., Drewitz, A., & Schmitz, L. (2021). (Un-)bounded transition fronts for the parabolic Anderson model and the randomized F-KPP equation. In Preprints Fachbereich Mathematik (Vol. 2021). Universität Basel.

Abächerli, Angelo, & Černý, Jiří. (2020). Level-set percolation of the Gaussian free field on regular graphs I: Regular trees. Electronic Journal of Probability, 25, 1–24. https://doi.org/10.1214/20-ejp468

Abächerli, Angelo, & Černý, Jiří. (2020). Level-set percolation of the Gaussian free field on regular graphs II: Finite expanders. Electronic Journal of Probability, 25, 1–39. https://doi.org/10.1214/20-ejp532

Černý, Jiří, & Drewitz, Alexander. (2020). Quenched invariance principles for the maximal particle in branching random walk in random environment and the parabolic Anderson model. The Annals of Probability, 48(1), 94–146. https://doi.org/10.1214/19-aop1347

Černý, Jiří, & Klimovsky, Anton. (2020). Markovian dynamics of exchangeable arrays. In Birkner, Matthias; Sun, Rongfeng; Swart, Jan M. (Ed.), Lecture Notes Series. World Scientific. https://doi.org/10.1142/9789811206092_0005

Abächerli, A., & Černý, J. (2019). Level-set percolation of the Gaussian free field on regular graphs I: Regular trees. In Preprints Fachbereich Mathematik (Vol. 2019). Universität Basel.

Abächerli, A., & Černý, J. (2019). Level-set percolation of the Gaussian free field on regular graphs II: Finite expanders. In Preprints Fachbereich Mathematik (Vol. 2019). Universität Basel.

Černý, Jiří. (2019). Concentration of the Clock Process Normalisation for the Metropolis Dynamics of the REM. In Gayrard, Véronique; Arguin, Louis-Pierre; Kistler, Nicola; Kourkova, Irina (Ed.), Springer Proceedings in Mathematics & Statistics. Springer. https://doi.org/10.1007/978-3-030-29077-1_5

Černý, J., & Wassmer, T. (2017). Aging of the Metropolis dynamics on the random energy model. Probability Theory and Related Fields, 167(1-2), 253–303. https://doi.org/10.1007/s00440-015-0681-1

Černý, J., & Teixeira, A. (2016). Random walks on torus and random interlacements: Macroscopic coupling and phase transition. Annals of Applied Probability, 26(5), 2883–2914. https://doi.org/10.1214/15-AAP1165

Birkner, M., Černý, J., & Depperschmidt, A. (2016). Random walks in dynamic random environments and ancestry under local population regulation. Electronic Journal of Probability, 21. https://doi.org/10.1214/16-EJP4666

Černý, J., & Sapozhnikov, A. (2016). Mixing time for the random walk on the range of the random walk on tori. Electronic Communications in Probability, 21. https://doi.org/10.1214/16-ECP4750

Ben Arous, Gérard, Cabezas, Manuel, Černý, Jiří, & Royfman, Roman. (2015). Randomly trapped random walks. Annals of Probability, 43(5), 2405–2457. https://doi.org/10.1214/14-AOP939

Černý, J., & Wassmer, T. (2015). Randomly trapped random walks on Zd. Stochastic Processes and Their Applications, 125(3), 1032–1057. https://doi.org/10.1016/j.spa.2014.10.002

Černý, J., & Teixeira, A. (2013). Critical window for the vacant set left by random walk on random regular graphs. Random Structures and Algorithms, 43(3), 313–337. https://doi.org/10.1002/rsa.20425

Birkner, M., Černý, J., Depperschmidt, A., & Gantert, N. (2013). Directed random walk on the backbone of an oriented percolation cluster. Electronic Journal of Probability, 18. https://doi.org/10.1214/EJP.v18-2302

Auffinger, Antonio, Ben Arous, Gérard, & Černý, Jiří. (2013). Random matrices and complexity of spin glasses. Communications on Pure and Applied Mathematics, 66(2), 165–201. https://doi.org/10.1002/cpa.21422

Černý, Jiří, & Popov, Serguei. (2012). On the internal distance in the interlacement set. Electronic Journal of Probability, 17. https://doi.org/10.1214/EJP.v17-1936

Černý, Jiří, & Teixeira, Augusto. (2012). From random walk trajectories to random interlacements. Ensaios Matemáticos, 23.

Černý, Jiří, Teixeira, Augusto, & Windisch, David. (2011). Giant vacant component left by a random walk in a random d-regular graph. Annales de L’institut Henri Poincare (B) Probability and Statistics, 47(4), 929–968. https://doi.org/10.1214/10-AIHP407

Barlow, M. T., & Černý, J. (2011). Convergence to fractional kinetics for random walks associated with unbounded conductances. Probability Theory and Related Fields, 149(3-4), 639–673. https://doi.org/10.1007/s00440-009-0257-z

Barlow, M. T., & Černý, J. (2011). Erratum to: Convergence to fractional kinetics for random walks associated with unbounded conductances, (Probab. Theory Relat. Fields, 10.1007/s00440-009-0257-z). Probability Theory and Related Fields, 149(3-4), 675–677. https://doi.org/10.1007/s00440-011-0344-9

Černý, J. (2011). On two-dimensional random walk among heavy-tailed conductances. Electronic Journal of Probability, 16, 293–313. https://doi.org/10.1214/EJP.v16-849

Černý, J. (2009). Another View on Aging in the REM (Vol. 62, pp. 85–101). Birkhauser. https://doi.org/10.1007/978-3-7643-9891-0_3

Ben Arous, Gérard, Bovier, Anton, & Černý, Jiří. (2008). Universality of the REM for dynamics of mean-field spin glasses. Communications in Mathematical Physics, 282(3), 663–695. https://doi.org/10.1007/s00220-008-0565-7

Černý, J., & Gayrard, V. (2008). Hitting time of large subsets of the hypercube. Random Structures and Algorithms, 33(2), 252–267. https://doi.org/10.1002/rsa.20217

Ben Arous, Gérard, Bovier, Anton, & Černý, Jiří. (2008). Universality of random energy model-like ageing in mean field spin glasses. Journal of Statistical Mechanics: Theory and Experiment, 2008(4). https://doi.org/10.1088/1742-5468/2008/04/L04003

Ben Arous, G., & Černý, J. (2008). The arcsine law as a universal aging scheme for trap models. Communications on Pure and Applied Mathematics, 61(3), 289–329. https://doi.org/10.1002/cpa.20177

Ben Arous, Gérard, & Černý, Jiří. (2007). Scaling limit for trap models on ℤd. Annals of Probability, 35(6), 2356–2384. https://doi.org/10.1214/009117907000000024

Černý, J. (2007). Moments and distribution of the local time of a two-dimensional random walk. Stochastic Processes and Their Applications, 117(2), 262–270. https://doi.org/10.1016/j.spa.2006.08.003

Bovier, A., Černý, J., & Hryniv, O. (2006). The opinion game: Stock price evolution from microscopic market modeling. International Journal of Theoretical and Applied Finance, 9(1), 91–111. https://doi.org/10.1142/S0219024906003421

Ben Arous, Gérard, & Černý, Jiří. (2006). Course 8 Dynamics of trap models. In - (Vol. 83, pp. 331–394). Elsevier. https://doi.org/10.1016/s0924-8099(06)80045-4

Ben Arous, Gérard, Černý, Jiří, & Mountford, Thomas. (2006). Aging in two-dimensional Bouchaud’s model. Probability Theory and Related Fields, 134(1), 1–43. https://doi.org/10.1007/s00440-004-0408-1

Černý, J. (2006). The behaviour of aging functions in one-dimensional Bouchaud’s trap model. Communications in Mathematical Physics, 261(1), 195–224. https://doi.org/10.1007/s00220-005-1447-x

Arous, G. B., & Černý, J. (2005). Bouchaud’s model exhibits two different aging regimes in dimension one [Journal-article]. The Annals of Applied Probability, 15(2). https://doi.org/10.1214/105051605000000124

Černý, J. (2004). Critical path analysis for continuum percolation. Annales de L’institut Henri Poincare (B) Probability and Statistics, 40(6), 661–675. https://doi.org/10.1016/j.anihpb.2004.05.001

Čerý, J., & Kotecký, R. (2003). Interfaces for Random Cluster Models. Journal of Statistical Physics, 111(1-2), 73–106. https://doi.org/10.1023/A:1022248822844