collaborators

3 papers

math.PR2026

Return probability on Bienaymé-Galton-Watson trees and spectral asymptotics of sparse Erdős-Rényi random graphs

Markus Heydenreich, Peter Müller, Sara Terveer

We derive an upper bound for the annealed return probability of the simple random walk on supercritical Bienaymé-Galton-Watson trees. The bound decays subexponentially in time …

math.PR2025

Hydrodynamic limit for repeated averages on the complete graph

Alberto M. Campos, Tertuliano Franco, Markus Heydenreich +1

We establish a hydrodynamical limit for the averaging process on the complete graph with N vertices, showing that, after a timescale of order N, the empirical distribution of opini…

math.PR2025

Preferential Attachment Trees with Vertex Death: Lack of Persistence of the Maximum Degree

Markus Heydenreich, Bas Lodewijks

We consider an evolving random discrete tree model called Preferential Attachment with Vertex Death, as introduced by Deijfen. Initialised with an alive root labelled , at each…