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Bakry-Emery Calculus For Diffusion With Additional Multiplicative Term

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arxiv 2102.10633 v1 pith:BWEWNPQF submitted 2021-02-21 math.FA math.PR

C. Roberto , B. Zegarlinski This is my paper · ORCID
classification math.FAmath.PR
keywords calculusmultiplicativetermadditionalallowanalysebakrybakry-emery
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We extend the Gamma_2 calculus of Bakry and Emery to include a Carre du champ operator with multiplicative term, providing results which allow to analyse inhomogeneous diffusions.

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  1. Optimal subelliptic super-Poincar\'e and isoperimetric inequalities on stratified Lie groups

    math.PR 2024-11 conditional novelty 7.0 of 10

    Exponential-power measures on stratified Lie groups, Grushin and Heisenberg-Greiner spaces satisfy q-super-Poincaré and isoperimetric inequalities with optimal exponent r=(α+1)p/(α+1+αp).

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