Results 11 to 20 of about 2,074 (210)
Convex Sobolev inequalities and spectral gap [PDF]
, 2006 This note is devoted to the proof of convex Sobolev (or generalized Poincaré) inequalities which interpolate between spectral gap (or Poincaré) inequalities and logarithmic Sobolev inequalities.
Dolbeault, Jean +3 more
core +4 more sources
Displacement convexity for the generalized orthogonal ensemble. [PDF]
, 2004 The paper considers the generalized ensemble of n by n real symmetric matrices that is invariant under the natural action of the real orthogonal group and that is given by a real potential function.
Blower, Gordon
core +4 more sources
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems [PDF]
, 2021 26 pages, 4 figuresInternational audienceThe mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the modified logarithmic Sobolev ...
Rouzé, Cambyse +14 more
core +2 more sources
On the variational interpretation of local logarithmic Sobolev inequalities
, 2021 International audienceThe celebrated Otto calculus has established itself as a powerful tool for proving quantitative energy dissipation estimates and provides with an elegant geometric interpretation of certain functional inequalities such as the ...
Gentil, Ivan +2 more
core +1 more source
Quantum concentration inequalities [PDF]
, 2022 We establish transportation cost inequalities (TCI) with respect to the quantum Wasserstein distance by introducing quantum extensions of well-known classical methods: first, using a non-commutative version of Ollivier's coarse Ricci curvature, we prove ...
De Palma, Giacomo +6 more
core +3 more sources
On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up [PDF]
, 2023 This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the
Erhan Pişkin +10 more
core +1 more source
Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds [PDF]
, 2023 We apply the shifted composition rule -- an information-theoretic principle introduced in our earlier work [AC23] -- to establish shift Harnack inequalities for the Langevin diffusion.
Altschuler, Jason M., Chewi, Sinho
core +1 more source
Radial symmetry and symmetry breaking for some interpolation inequalities
, 2011 International audienceWe analyze the radial symmetry of extremals for a class of interpolation inequalities known as Caffarelli-Kohn-Nirenberg inequalities, and for a class of weighted logarithmic Hardy inequalities which appear as limiting cases of the ...
Dolbeault, Jean +3 more
core +3 more sources
Advanced Science, EarlyView.This Perspective charts the modeling landscape for soft manipulators, spanning sparse system identification, neural dynamics, physics‐informed models and hybrid intelligence. We examine how physics, data, sensing, adaptation and control can assume complementary roles within this landscape, and provide a framework for selecting modeling approaches ...
Wenbo Hui +4 more
wiley +1 more source
Learning regime‐dependent governing equations: A symbolic decision tree approach
AIChE Journal, EarlyView.Abstract Many chemical engineering systems are governed by mechanisms that switch across operating regimes, making the data‐driven discovery of regime‐dependent governing equations essential for predictive modeling, optimization, and control. We propose symbolic decision trees for the data‐driven discovery of regime‐dependent governing equations.
Ilias Mitrai +2 more
wiley +1 more source