4 papers
Exceptional times of the critical dynamical Erdős-Rényi graph
Matthew I. Roberts, Bati Sengul
In this paper we introduce a network model which evolves in time, and study its largest connected component. We consider a process of graphs , where initially we…
Deep factorisation of the stable process II; potentials and applications
Andreas E. Kyprianou, Victor Rivero, Bati Sengul
Here we propose a different perspective of the deep factorisation in Kyprianou (2015) based on determining potentials. Indeed, we factorise the inverse of the MAP-exponent associat…
Conditioning subordinators embedded in Markov processes
Andreas E. Kyprianou, Victor Rivero, Bati Sengul
The running infimum of a Levy process relative to its point of issue is know to have the same range that of the negative of a certain subordinator. Conditioning a Levy process issu…
Cutoff for conjugacy-invariant random walks on the permutation group
Nathanael Berestycki, Bati Sengul
We prove a conjecture raised by the work of Diaconis and Shahshahani (1981) about the mixing time of random walks on the permutation group induced by a given conjugacy class. To do…