22 citations · 22 across the 2 of their papers we have counts for
7 papers
On heat kernel decay for the random conductance model
Omar Boukhadra
We study discrete time random walks in an environment of i.i.d. non-negative bounded conductances in . We are interested in the anomaly of the heat-kernel decay. We i…
Anomalous Heat Kernel for Random Walks in Random Environments of Conductances
Omar Boukhadra
We study the trapping phenomenon of random walks in random environments of i.i.d. random conductances on the bonds of the grid , the so-called random conductance mode…
Harnack Inequalities and Local Central Limit Theorem for the Polynomial Lower Tail Random Conductance Model
Omar Boukhadra, Takashi Kumagai, Pierre Mathieu
We prove upper bounds on the transition probabilities of random walks with i.i.d. random conductances with a polynomial lower tail near . We consider both constant and variable…
Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
Marek Biskup, Omar Boukhadra
We study the diagonal heat-kernel decay for the four-dimensional nearest-neighbor random walk (on ) among i.i.d. random conductances that are positive, bounded from above but…
Standard Spectral Dimension for the Polynomial Lower Tail Random Conductances model
Omar Boukhadra
We study models of continuous-time, symmetric, -valued random walks in random environments, driven by a field of i.i.d. random nearest-neighbor conductances $ω_{xy}\in[0,1]…
Note on the Heat-Kernel Decay for Random Walk among Random Conductances with Heavy Tail
Omar Boukhadra
Results have been moved to a published article, see arXiv:0812.2669v4[math.PR]