13 citations · 38 across the 11 of their papers we have counts for
15 papers
Meeting times of Markov chains via singular value decomposition
Thomas van Belle, Anton Klimovsky
We suggest a non-asymptotic matrix perturbation-theoretic approach to get sharp bounds on the expected meeting time of random walks on large (possibly random) graphs. We provide a…
Continuum graph dynamics via population dynamics: well-posedness, duality and equilibria
Andreas Greven, Frank den Hollander, Anton Klimovsky +1
This paper introduces graphemes for constructing and analyzing stochastic processes that describe the evolution of large dynamic graphs. Unlike graphons, which capture the static p…
The grapheme-valued Wright-Fisher diffusion with mutation
Andreas Greven, Frank den Hollander, Anton Klimovsky +1
In [Athreya, den Hollander, Röllin; 2021, arXiv:1908.06241] models from population genetics were used to define stochastic dynamics in the space of graphons arising as continuum li…
The phase diagram of the complex continuous random energy model: The weak correlation regime
Maximilian Fels, Lisa Hartung, Anton Klimovsky
We identify the fluctuations of the partition function of the continuous random energy model on a Galton-Watson tree in the so-called weak correlation regime. Namely, when the ``sp…
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…
The phase diagram of the complex branching Brownian motion energy model
Lisa Hartung, Anton Klimovsky
We complete the analysis of the phase diagram of the complex branching Brownian motion energy model by studying Phases I, III and boundaries between all three phases (I-III) of thi…