Results 21 to 30 of about 5,472,506 (230)
The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities [PDF]
Probability theory and related fields, 2019 We study the mean field Schrödinger problem (MFSP), that is the problem of finding the most likely evolution of a cloud of interacting Brownian particles conditionally on the observation of their initial and final configuration.
J. Backhoff +3 more
semanticscholar +1 more source
Derivation-homomorphism functional inequalities
, 2021 In this paper, we introduce and solve the following additive-additive (s,t) -functional inequality ‖g(x+ y)−g(x)−g(y)‖+‖h(x+ y)+h(x− y)−2h(x)‖ (1) ∥∥∥s ( 2g ( x+ y 2 ) −g(x)−g(y) ∥∥∥+ ∥∥∥t ( 2h ( x+ y 2 ) +2h ( x− y 2 ) −2h(x) ∥∥∥ , where s and t are ...
Choonkill Park
semanticscholar +1 more source
Difference functional inequalities and applications [PDF]
Opuscula Mathematica, 2014 The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes.
Anna Szafrańska
doaj +1 more source
Non-commutative Nash inequalities [PDF]
, 2015 A set of functional inequalities - called Nash inequalities - are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative Lp spaces, where their ...
Kastoryano, Michael J., Temme, Kristan
core +2 more sources
Functional inequalities for forward and backward diffusions [PDF]
Electronic Journal of Probability, 2019 In this article we derive Talagrand's $T_2$ inequality on the path space w.r.t. the maximum norm for various stochastic processes, including solutions of one-dimensional stochastic differential equations with measurable drifts, backward stochastic ...
Daniel Bartl, Ludovic Tangpi
semanticscholar +1 more source
Hlawka’s functional inequality [PDF]
Aequationes mathematicae, 2012 The paper is devoted to the functional inequality \[ f(x+y)+f(y+z)+f(x+z)\leq f(x+y+z)+f(x)+f(y)+f(z), \tag{1} \] where a real-valued mapping \(f\) is considered either on an abelian group, or on a vector space, or on the real line. Note that for \(f(x,y)=\|x+y\|^2\) considered on a real or complex inner product space, this inequality is known as ...
openaire +3 more sources
Functional inequalities for the heat flow on time‐dependent metric measure spaces [PDF]
Journal of the London Mathematical Society, 2019 We prove that synthetic lower Ricci bounds for metric measure spaces — both in the sense of Bakry–Émery and in the sense of Lott–Sturm–Villani — can be characterized by various functional inequalities including local Poincaré inequalities, local ...
Eva Kopfer, Karl‐Theodor Sturm
semanticscholar +1 more source
Local Fractional Integral Hölder-Type Inequalities and Some Related Results
Fractal and Fractional, 2022 This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +3 more
doaj +1 more source
Poincar\'e inequality for non euclidean metrics and transportation cost inequalities on $\mathbb{R}^d$ [PDF]
, 2007 In this paper, we consider Poincar\'e inequalities for non euclidean metrics on $\mathbb{R}^d$. These inequalities enable us to derive precise dimension free concentration inequalities for product measures. This technique is appropriate for a large scope
Gozlan, Nathael
core +5 more sources
Journal of Mathematical Analysis and Applications, 1996 Given extended real numbers \(a,b\) with \(a0 ...
Simić, Slavko, Radenović, Stojan
openaire +2 more sources