2 papers
math.PR2025
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…
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…