On logarithmic Sobolev inequalities in information theory and for conservative spin systems in statistical mechanics.

Summary 1°) Use of Bobkov functional inequalities for the establishment of quasi-Gaussian large deviation principles. 2°) Study of the logarithmic Sobolev inequality in information theory. 3°) Establishment of logarithmic Poincaré and Sobolev inequalities for some Kawasaki and Glauber dynamics for a continuous spin model in statistical mechanics.