80 citations · 291 across the 59 of their papers we have counts for
7 papers · 2 filters
Heat kernel estimates for anomalous heavy-tailed random walks
Mathav Murugan, Laurent Saloff-Coste
Sub-Gaussian estimates for the natural random walk is typical of many regular fractal graphs. Subordination shows that there exist heavy tailed jump processes whose jump indices ar…
Davies' method for anomalous diffusions
Mathav Murugan, Laurent Saloff-Coste
Davies' method of perturbed semigroups is a classical technique to obtain off-diagonal upper bounds on the heat kernel. However Davies' method does not apply to anomalous diffusion…
Isoperimetric profiles and random walks on some permutation wreath products
Laurent Saloff-Coste, Tianyi Zheng
We study the isoperimetric profiles of certain families of finitely generated groups defined via marked Schreier graphs and permutation wreath products. The groups we study are amo…
Random walks under slowly varying moment conditions on groups of polynomial volume growth
Laurent Saloff-Coste, Tianyi Zheng
Let be a finitely generated group of polynomial volume growth equipped with a word-length . The goal of this paper is to develop techniques to study the behavior of ra…
Harnack inequalities and Gaussian estimates for random walks on metric measure spaces
Mathav Murugan, Laurent Saloff-Coste
We characterize Gaussian estimates for transition probability of a discrete time Markov chain in terms of geometric properties of the underlying state space. In particular, we show…
Computing cutoff times of birth and death chains
Guan-Yu Chen, Laurent Saloff-Coste
Earlier work by Diaconis and Saloff-Coste gives a spectral criterion for a maximum separation cutoff to occur for birth and death chains. Ding, Lubetzky and Peres gave a related cr…