On logarithmic Sobolev inequalities for continuous time random walks on graphs. Probab. Theory Related Fields, pp.573-602, 2000. ,
Lévy processes and stochastic calculus, volume 93 of Cambridge Studies in Advanced Mathematics, 2004. ,
ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS, Communications in Partial Differential Equations, vol.324, issue.1-2, pp.43-100, 2001. ,
DOI : 10.1007/s002200050631
L'hypercontractivit?? et son utilisation en th??orie des semigroupes, Lecture Notes in Math, vol.48, issue.n.2, pp.1-114, 1992. ,
DOI : 10.1007/978-3-642-96208-0
Lévy processes, volume 121 of Cambridge Tracts in Mathematics, 1996. ,
Generalized Fokker-Planck equations and convergence to their equilibria, Evolution Equations Propagation Phenomena, Global Existence, Influence of Non-Linearities, pp.307-318, 2001. ,
DOI : 10.4064/bc60-0-24
Entropies, convexity, and functional inequalities, On $\Phi $-entropies and $\Phi $-Sobolev inequalities, Journal of Mathematics of Kyoto University, vol.44, issue.2, pp.325-363, 2004. ,
DOI : 10.1215/kjm/1250283556
queue, ESAIM: Probability and Statistics, vol.10, pp.317-339, 2006. ,
DOI : 10.1051/ps:2006013
A note on functional inequalities for some lvy processes. Unpubliched note, 2002. ,
Fractional Fokker???Planck equation for nonlinear stochastic differential equations driven by non-Gaussian L??vy stable noises, Journal of Mathematical Physics, vol.42, issue.1, pp.200-212, 2001. ,
DOI : 10.1063/1.1318734
A new modified logarithmic Sobolev inequality for Poisson point processes and several applications. Probab. Theory Related Fields, pp.427-438, 2000. ,