Presented by:
Marius Junge
Date:
Friday 27th July 2018 - 12:30 to 13:15
Venue:
INI Seminar Room 1
Abstract:
We show that in finite dimension the
set of generates satisfying a stable version of the log-sobolev inequality for
the Fisher information is dense. The results is based on a new algebraic
property , valid for subordinates semigroups for sublabplacians on
compact Riemann manifolds which is then transferred to matrix algebras. Even in
the commutative setting the inequalities for subordinated sublaplacians are
entirely new. We also found counterexample for why a naive approach via
hypercontractivity is not expected to work in a matrix-valued setting,
similar to results by Bardet and collaborators.
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