Mixing times for random walks on finite lamplighter groups.
Recurrent graphs where two independent random walks collide finitely often.
Trees and matchings from point processes.
Entropy of convolutions on the circle.
Eventual intersection for sequences of Lévy processes.
Critical percolation on certain nonunimodular graphs.
Limsup random fractals.
Brownian motion on compact manifolds: cover time and late points.
Domains of analytic continuation for the top Lyapunov exponent
Percolation on nonamenable products at the uniqueness threshold
Remarks on intersection-equivalence and capacity-equivalence
Where did the Brownian particle go?
Thick points for transient symmetric stable processes.
Transience of percolation clusters on wedges.
Determinantal processes and independence.
Intersecting random translates of invariant Cantor sets.
Mixing time for the Ising model : a uniform lower bound for all graphs
Consider Glauber dynamics for the Ising model on a graph of vertices. Hayes and Sinclair showed that the mixing time for this dynamics is at least log /(), where is the maximum degree and () = (log2). Their result applies to more general spin systems, and in that generality, they showed that some dependence on is necessary. In this paper, we focus on the ferromagnetic Ising model and prove that the mixing time of Glauber dynamics on any -vertex graph is at least (1/4 + o(1))log .
Random walks on a tree and capacity in the interval
The infinite valley for a recurrent random walk in random environment
We consider a one-dimensional recurrent random walk in random environment (RWRE). We show that the – suitably centered – empirical distributions of the RWRE converge weakly to a certain limit law which describes the stationary distribution of a random walk in an infinite valley. The construction of the infinite valley goes back to Golosov, see (1984) 491–506. As a consequence, we show weak convergence for both the maximal local time and the self-intersection local time of the RWRE...
Perfect filtering and double disjointness
Page 1 Next