Graph Hörmander Systems Article Swipe
Related Concepts
Haojian Li
,
Marius Junge
,
Nicholas LaRacuente
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s00023-024-01474-7
· OA: W3037598510
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1007/s00023-024-01474-7
· OA: W3037598510
This paper extends the Bakry-Émery criterion relating the Ricci curvature and logarithmic Sobolev inequalities to the noncommutative setting. We obtain easily computable complete modified logarithmic Sobolev inequalities of graph Laplacians and Lindblad operators of the corresponding graph Hörmander systems. We develop the anti-transference principle stating that the matrix-valued modified logarithmic Sobolev inequalities of sub-Laplacian operators on a compact Lie group are equivalent to such inequalities of a family of the transferred Lindblad operators with a uniform lower bound.
Related Topics
Finding more related topics…