Wasserstein steepest descent flows of discrepancies with Riesz kernels. (English) Zbl 1540.49049
Reviewer: Manfred Tasche (Rostock)
Found 53 Documents (Results 1–53)
Optimal transport and generalized Ricci flow. (English) Zbl 1539.53112
Reviewer: Wojciech Górny (Wien)
Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance. (English) Zbl 1533.53035
Reviewer: Vyacheslav I. Maksimov (Yekaterinburg)
Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics. (English) Zbl 1537.46051
The dynamical Schrödinger problem in abstract metric spaces. (English) Zbl 1516.49013
Reviewer: Alain Brillard (Riedisheim)
Gradient flows of modified Wasserstein distances and porous medium equations with nonlocal pressure. (English) Zbl 1514.35007
Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below. (English) Zbl 1496.35054
Reviewer: Feng-Yu Wang (Tianjin)
Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups. (English) Zbl 07493867
A variational interpretation of general relativity in a vacuum in terms of optimal transport. (Une interprétation variationnelle de la relativité générale dans le vide en termes de transport optimal.) (French) Zbl 07468764
Reviewer: Ion Vancea Vancea (Rio de Janeiro)
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. (English) Zbl 1511.65083
Reviewer: Bülent Karasözen (Ankara)
Contraction and regularizing properties of heat flows in metric measure spaces. (English) Zbl 1459.49030
Reviewer: Lakehal Belarbi (Mostaganem)
Unconditional convergence for discretizations of dynamical optimal transport. (English) Zbl 1456.65046
Dynamical aspects of the generalized Schrödinger problem via Otto calculus – a heuristic point of view. (English) Zbl 1462.37009
Nonlinear diffusion equations and curvature conditions in metric measure spaces. (English) Zbl 1477.49003
Memoirs of the American Mathematical Society 1270. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3913-2/pbk; 978-1-4704-5513-2/ebook). v, 121 p. (2019).
Reviewer: Dimitris P. Vartziotis (Ioannina)
Geometric origin and some properties of the arctangential heat equation. (English) Zbl 1410.35081
Reviewer: Stepan Agop Tersian (Rousse)
The initial value problem for the Euler equations of incompressible fluids viewed as a concave maximization problem. (English) Zbl 1410.35102
Reviewer: Vladimir Mityushev (Kraków)
Existence of solutions for a class of fourth order cross-diffusion systems of gradient flow type. (English) Zbl 1371.35146
Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance. (English) Zbl 1386.46057
Reviewer: Rolf Gohm (Aberystwyth)
The Wasserstein geometry of nonlinear \(\sigma\) models and the Hamilton-Perelman Ricci flow. (English) Zbl 1360.53067
Reviewer: Nicolai K. Smolentsev (Kemerovo)
\(q\)-heat flow and the gradient flow of the Renyi entropy in the \(p\)-Wasserstein space. (English) Zbl 1375.53056
Reviewer: Przemysław Górka (Warsaw)
MSC:
53C23
Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. (English) Zbl 1347.49078
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. (English) Zbl 1345.35051
Reviewer: Stefanie Sonner (Graz)
Algebraic contraction rate for distance between entropy solutions of scalar conservation laws. (English) Zbl 1332.35216
Transport distances and geodesic convexity for systems of degenerate diffusion equations. (English) Zbl 1342.49067
Nonlocal interaction equations in environments with heterogeneities and boundaries. (English) Zbl 1327.35057
On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces. (English) Zbl 1329.53059
Curvature bounds for configuration spaces. (English) Zbl 1335.53047
Reviewer: Ahmad Afuni (Bremen)
Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold. (English) Zbl 1390.58021
Reviewer: Maria Gordina (Storrs)
Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. (English) Zbl 1307.49044
Reviewer: Vasile Oproiu (Iaşi)
An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy. (English) Zbl 1297.35241
Dimensional contraction via Markov transportation distance. (English) Zbl 1312.47055
Reviewer: Gong Guanglu (Beijing)
Coherence stability and effect of random natural frequencies in populations of coupled oscillators. (English) Zbl 1296.35194
Reviewer: Alain Brillard (Riedisheim)
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations. (English) Zbl 1293.35149
A flow tangent to the Ricci flow via heat kernels and mass transport. (English) Zbl 1288.53059
MSC:
53C44
58C35
Long-time asymptotics for the porous medium equation: the spectrum of the linearized operator. (English) Zbl 1293.35254
Reviewer: Valery V. Karachik (Chelyabinsk)
Geodesic convexity of the relative entropy in reversible Markov chains. (English) Zbl 1282.60072
Reviewer: Piotr Garbaczewski (Opole)
Interplay of analysis and probability in physics. Abstracts from the workshop held January 22–28, 2012. (English) Zbl 1349.00213
Optimal maps in non branching spaces with Ricci curvature bounded from below. (English) Zbl 1257.53055
Reviewer: Dumitru Motreanu (Perpignan)
Fokker-Planck equations for a free energy functional or Markov process on a graph. (English) Zbl 1256.35173
Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics. (English) Zbl 1248.35095
Contraction of general transportation costs along solutions to Fokker-Planck equations with monotone drifts. (English) Zbl 1206.35236
Nonlinear mobility continuity equations and generalized displacement convexity. (English) Zbl 1225.49043
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