87 citations · 88 across the 6 of their papers we have counts for
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Linear spreading speed in non-monotone population models
Matthias Birkner, Alice Callegaro, Jiří Černý
For a broad class of discrete-time, finite-range interacting particle systems on , we establish a linear spreading speed and a one-dimensional shape theorem on the even…
Tightness of the maximum of branching random walk in random environment and zero-crossings of solutions to discrete parabolic differential equations
Jiří Černý, Flavio Dalessi
We study branching random walk on in a bounded i.i.d. random environment. For this process, we prove that, for almost every realization of the environment, the distrib…
Scaling limits for the critical level-set percolation of the Gaussian free field on regular trees
Jiří Černý, Ramon Locher
We continue the study of the level-set percolation of the discrete Gaussian free field (GFF) on regular trees in the critical regime, initiated in arXiv:2302.02753. First, we deriv…
Level-set percolation of the Gaussian free field on regular graphs I: Regular trees
Angelo Abächerli, Jiří Černý
We study level-set percolation of the Gaussian free field on the infinite -regular tree for fixed . Denoting by the critical value, we obtain the following re…
Markovian dynamics of exchangeable arrays
Jiří Černý, Anton Klimovsky
We study Markov processes with values in the space of general two-dimensional arrays whose distribution is exchangeable. The results of this paper are inspired by the theory of exc…
Scaling limit for trap models on
Gérard Ben Arous, Jiří Černý
We give the ``quenched'' scaling limit of Bouchaud's trap model in . This scaling limit is the fractional-kinetics process, that is the time change of a -dimensional B…