Found 76 Documents (Results 1–76)
Applications of optimal transportation. Abstracts from the workshop held February 4–9, 2024. (English) Zbl 07921241
Probability and moment inequalities for additive functionals of geometrically ergodic Markov chains. (English) Zbl 07900846
Stochastic evolutionary \(p\)-Laplace equation: large deviation principles and transportation cost inequality. (English) Zbl 1536.60053
Reviewer: Feng-Yu Wang (Tianjin)
A transportation inequality for reflected SPDEs on infinite spatial domain. (English) Zbl 1537.60077
Reviewer: Maria Gordina (Storrs)
Talagrand’s transportation inequality for SPDEs with locally monotone drifts. (English) Zbl 1542.35465
Transportation cost-information inequality for a stochastic heat equation driven by fractional-colored noise. (English) Zbl 1538.60112
Weak optimal transport with unnormalized kernels. (English) Zbl 1535.60007
Reviewer: Wiesław Kotarski (Sosnowiec)
Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus. (English) Zbl 1508.60050
Long-term concentration of measure and cut-off. (English) Zbl 1506.60081
Reviewer: Miguel Martinez (Marne-la-Vallée)
Applications of weak transport theory. (English) Zbl 1516.49042
Reviewer: Nicolò De Ponti (Trieste)
Transport inequalities for random point measures. (English) Zbl 1489.60085
Reviewer: Feng-Yu Wang (Tianjin)
Quadratic transportation cost inequality for scalar stochastic conservation laws. (English) Zbl 1466.35379
Transportation cost-information inequality for stochastic wave equation. (English) Zbl 1462.60088
Reviewer: Feng-Yu Wang (Swansea)
Fisher information and logarithmic Sobolev inequality for matrix-valued functions. (English) Zbl 1454.35012
Concentration inequalities for stochastic differential equations of pure non-Poissonian jumps. (English) Zbl 1454.60065
Lower bound for the coarse Ricci curvature of continuous-time pure-jump processes. (English) Zbl 1451.60025
On a mixture of Brenier and Strassen theorems. (English) Zbl 1469.60127
Reviewer: Lakehal Belarbi (Mostaganem)
The heat flow on metric random walk spaces. (English) Zbl 1465.53053
Reviewer: Mohammed El Aïdi (Bogotá)
Talagrand concentration inequalities for stochastic partial differential equations. (English) Zbl 1457.60037
Talagrand concentration inequalities for stochastic heat-type equations under uniform distance. (English) Zbl 1427.60134
Concentration inequalities for stochastic differential equations with additive fractional noise. (English) Zbl 1427.60065
A note on transportation cost inequalities for diffusions with reflections. (English) Zbl 1416.82031
Measure concentration and the weak Pinsker property. (English) Zbl 1462.60029
Reviewer: Fraser Daly (Edinburgh)
Characterization of a class of weak transport-entropy inequalities on the line. (English. French summary) Zbl 1404.60030
A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure. (English) Zbl 1400.35008
Concentration inequalities for polynomials of contracting Ising models. (English) Zbl 1405.82009
Reviewer: Hasan Akin (Gaziantep)
A variational approach to some transport inequalities. (English. French summary) Zbl 1382.60037
Exponential inequalities for unbounded functions of geometrically ergodic Markov chains: applications to quantitative error bounds for regenerative Metropolis algorithms. (English) Zbl 1370.60037
Synthetic theory of Ricci curvature bounds. (English) Zbl 1353.53019
Reviewer: Andreas Arvanitoyeorgos (Patras)
Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions. (English) Zbl 1331.60036
Exponential concentration inequalities for additive functionals of Markov chains. (English) Zbl 1364.60028
Optimal rate for support vector machine regression with Markov chain samples. (English) Zbl 1327.68201
Concentration of measures supported on the cube. (English) Zbl 1357.60020
Reviewer: Giovanni Puccetti (Milano)
Convergence rate and concentration inequalities for Gibbs sampling in high dimension. (English) Zbl 1385.60042
Wasserstein-divergence transportation inequalities and polynomial concentration inequalities. (English) Zbl 1302.60041
Displacement convexity of entropy and related inequalities on graphs. (English) Zbl 1332.60037
Reviewer: Italo Simonelli (Westminster, MD)
Concentration for multidimensional diffusions and their boundary local times. (English) Zbl 1259.60091
A new kind of modified transportation cost inequalities and polynomial concentration inequalities. (English) Zbl 1221.60023
On concentration, deviation and Dvoretzky’s theorem for Besov, Lizorkin-Triebel and other spaces. (English) Zbl 1214.46007
Reviewer: Yang Dachun (Beijing)
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. (English) Zbl 1210.60024
Reviewer: Wilfried Hazod (Dortmund)
An equivalent condition between Poincaré inequality and \(T_{2}\)-transportation cost inequality. (English) Zbl 1193.60026
Mass transportation and rough curvature bounds for discrete spaces. (English) Zbl 1184.28015
Reviewer: Sergey Ludkovsky (Moskva)
Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. (English) Zbl 1194.74550
Concentration inequalities for dependent random variables via the martingale method. (English) Zbl 1154.60310
Poisson-type deviation inequalities for curved continuous-time Markov chains. (English) Zbl 1131.60069
Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition. (English) Zbl 1111.60079
A genetic system based on simulated crossover of sequences of two-bit genes. (English) Zbl 1119.68145
Talagrand’s \(T_2\)-transportation inequality and log-Sobolev inequality for dissipative SPDEs and applications to reaction-diffusion equations. (English) Zbl 1101.60043
Transportation cost-information inequalities and applications to random dynamical systems and diffusions. (English) Zbl 1061.60011
Reviewer: Wilfried Hazod (Dortmund)
Talagrand’s \(T_2\)-transportation inequality w.r.t. a uniform metric for diffusions. (English) Zbl 1055.60009
Reviewer: Ludger Rüschendorf (Freiburg i. Br.)
Concentration inequalities using the entropy method. (English) Zbl 1051.60020
Reviewer: Wilfried Hazod (Dortmund)
Ultracontractive bounds on Hamilton-Jacobi solutions. (English) Zbl 1015.35019
Reviewer: Vasile Iftode (Bucureşti)
Hypercontractivity of Hamilton-Jacobi equations. (English) Zbl 1038.35020
Reviewer: Marius Iosifescu (Bucureşti)
Concentration of measure inequalities for Markov chains and \(\Phi\)-mixing processes. (English) Zbl 1044.60061
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. (English) Zbl 0985.58019
Concentration and influences. (English) Zbl 0937.28004
Reviewer: Rimas Norvaiša (Vilnius)
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