Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincaré or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality. Mathematics Subject Classification (2000) : Primary 35B40, 35K10, 60J60.

We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry–Emery approach to this setting. In particular, we obtain volume-independent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore models.

Lately, Emery et al. developed a bird-specific modification of the "social brain hypothesis", termed "relationship intelligence hypothesis". Although the idea may be valuable, we doubt that it is supported by sufficient evidence and critically discuss some of the arguments raised by the authors in favour of their new idea.

The haploid karyotype of Kapala sp. (Eucharitidae), a parasite of the Neotropical ant Dinoponera lucida Emery, 1901 (Hymenoptera, Formicidae), is reported for the first time. It consists of four metacentric chromosomes. Chromosomes in the family Eucharitidae were unknown so far; therefore, our results confirm that multiple parallel chromosomal fusions have taken place in several lineages within...

Abstract. We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In particular, we obtain volumeindependent lower bounds for the Glauber dynamics of interacting point particles and for various classes of hardcore m...

Background: The TTN gene is related to a broad phenotype spectrum including tibial muscular dystrophy, hereditary myopathy with respiratory failure, limb girdle dystrophy 2J and dilated or hypertrophic cardiomyopathy. In 2014, Chauveau et al, described phenotypes cardiac septal defects, left ventricular non-compaction, Emery-Dreifuss arthrogryposis. 2020, Savarese showed most of patients bialle...

In this paper we establish some new compactness criteria for complete Riemannian manifolds with Bakry-\'Emery Ricci curvature bounded below. These results improve or generalize previous ones obtained by H. Tadano [6], J. Wan [7], I.A. Kaboye and M. Bazanfar\'e [3]. We also prove a volume comparison theorem such manifolds.