S. Mustapha

activity

20062020

most citedGaussian estimates for spatially inhomogeneous random walks on

Z^{d}

16 citations · 17 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2020★ 1 cited

Relative Nash-type and $L^{2}$ -Sobolev inequalities for Dunkl operators and applications

S. Mustapha, M. Sifi

We investigate local variants of Nash inequalities in the context of Dunkl operators. Pseudo-Poincaré inequalities are first established using pointwise gradient estimates of the D…

math.PR2019

Discrete harmonic functions in Lipschitz domains

Sami Mustapha, Mohamed Sifi

We prove the existence and uniqueness of a discrete nonnegative harmonic function for a random walk satisfying finite range, centering and ellipticity conditions, killed when leavi…

math.PR2006★ 16 cited

Gaussian estimates for spatially inhomogeneous random walks on $Z^{d}$

Sami Mustapha

It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on $Z^{d}$ admits upper and lower Gaussian estimates.

Relative Nash-type and L2-Sobolev inequalities for Dunkl operators and applications

Discrete harmonic functions in Lipschitz domains

Gaussian estimates for spatially inhomogeneous random walks on Zd

Relative Nash-type and $L^{2}$ -Sobolev inequalities for Dunkl operators and applications

Gaussian estimates for spatially inhomogeneous random walks on $Z^{d}$