A free stochastic partial differential equation
Copyright policy )A free stochastic partial differential equation
We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also R^�� embeddability. This includes an N-tuple of q-Gaussian random variables e.g. for |q|N\leq 0.13.
57 pages, final published version, slightly weaker results with improved exposition
- UNIVERSITE JEAN MONNET SAINT-ETIENNE France
- University of Lyon System France
- University of California, Los Angeles United States
- Jean Monnet University France
- Claude Bernard University Lyon 1 France
free stochastic partial differential equations, \(q\)-Gaussian variables, Free probability, 46L54, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], Mathematics - Operator Algebras, free probability, 510, $q$-Gaussian variables, Free probability and free operator algebras, q-Gaussian variables, Stochastic partial differential equations (aspects of stochastic analysis), Lower bounds on microstate Free Entropy Dimension, Lower bounds on microstate free entropy dimension, Free Stochastic Partial Differential Equations, Free stochastic partial differential equations, 60H15, FOS: Mathematics, lower bounds on microstate free entropy dimension, Operator Algebras (math.OA)
free stochastic partial differential equations, \(q\)-Gaussian variables, Free probability, 46L54, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], Mathematics - Operator Algebras, free probability, 510, $q$-Gaussian variables, Free probability and free operator algebras, q-Gaussian variables, Stochastic partial differential equations (aspects of stochastic analysis), Lower bounds on microstate Free Entropy Dimension, Lower bounds on microstate free entropy dimension, Free Stochastic Partial Differential Equations, Free stochastic partial differential equations, 60H15, FOS: Mathematics, lower bounds on microstate free entropy dimension, Operator Algebras (math.OA)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).18 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!