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math.FA2020★ 3 cited
Transportation inequalities for Markov kernels and their applications
Fabrice Baudoin, Nathaniel Eldredge
We study the relationship between functional inequalities for a Markov kernel on a metric space and inequalities of transportation distances on the space of probability measure…
math.FA2017★ 4 cited
Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups
Nathaniel Eldredge
On a stratified Lie group equipped with hypoelliptic heat kernel measure, we study the behavior of the dilation semigroup on spaces of log-subharmonic functions. We consi…