10 citations · 20 across the 8 of their papers we have counts for
9 papers
Heavy tails and one-dimensional localization
Michael Cranston, Stanislav Molchanov, Nicola Squartini
We address the fundamental questions concerning the operator \begin{eqnarray*} H^{θ_0}ψ(x)=-ψ"(x)+V(x,ω)ψ(x),\,ψ(0)\cosθ_0-ψ'(0)\sinθ_0=0. \end{eqnarray*} where the random potentia…
Weak synchronization for isotropic flows
Michael Cranston, Benjamin Gess, Michael Scheutzow
We study Brownian flows on manifolds for which the associated Markov process is strongly mixing with respect to an invariant probability measure and for which the distance process…
On the Critical Behavior of a Homopolymers Model
Michael Cranston, Stanislav Molchanov
Taking to be the measure induced by simple, symmetric nearest neighbor continuous time random walk on starting at with jump rate define, for $β\ge 0,\,t…
Dissipation and high disorder
Le Chen, Michael Cranston, Davar Khoshnevisan +1
Given a field of independent standard Brownian motions, indexed by , the generator of a suitable Markov process on $\mathbf{Z}^d,\,\,\ma…
The contact process on finite homogeneous trees revisited
Michael Cranston, Thomas Mountford, Jean-Christophe Mourrat +1
We consider the contact process with infection rate on , the -ary tree of height . We study the extinction time , that is, the random…
Overlaps and Pathwise Localization in the Anderson Polymer Model
Francis Comets, Michael Cranston
We consider large time behavior of typical paths under the Anderson polymer measure. If is the measure induced by rate simple, symmetric random walk on started at $x…