3 papers
math.PR2024
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…
math.PR2023
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…
math.PR2023
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…