Gradient bounds for Kolmogorov type diffusions

Autor:	Maria Gordina, Phanuel Mariano, Fabrice Baudoin
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry Statistics and Probability TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES 35H10 Type (model theory) 01 natural sciences Coupling 010104 statistics & probability Mathematics - Analysis of PDEs 60J45 FOS: Mathematics 0101 mathematics 60J60 Mathematics Mathematical physics Kolmogorov diffusion Curvature-dimension inequality Probability (math.PR) 010102 general mathematics Coupling (probability) 58J65 TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Differential Geometry (math.DG) Gradient estimates Hypoelliptic diffusion Statistics Probability and Uncertainty Mathematics - Probability Analysis of PDEs (math.AP)
Zdroj:	Ann. Inst. H. Poincaré Probab. Statist. 56, no. 1 (2020), 612-636
ISSN:	0246-0203
DOI:	10.1214/19-aihp975
Popis:	We study gradient bounds and other functional inequalities for the diffusion semigroup generated by Kolmogorov type operators. The focus is on two different methods: coupling techniques and generalized $\Gamma$-calculus techniques. The advantages and drawbacks of each of these methods are discussed. Comment: 30 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::623c4283e0f612584d2f03a614321a87 https://doi.org/10.1214/19-aihp975 Zobrazit plný text záznamu