Generalized curvature for the optimal transport problem induced by a Tonelli Lagrangian
نویسندگان
چکیده
We propose a generalized curvature that is motivated by the optimal transport problem on $\mathbb{R}^d$ with cost induced Tonelli Lagrangian $L$. show non-negativity of implies displacement convexity entropy functional $L-$Wasserstein space along $C^2$ interpolants.
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولA Lagrangian Decomposition Algorithm for Robust Green Transportation Location Problem
In this paper, a green transportation location problem is considered with uncertain demand parameter. Increasing robustness influences the number of trucks for sending goods and products, caused consequently, increase the air pollution. In this paper, two green approaches are introduced which demand is the main uncertain parameter in both. These approaches are addressed to provide a trade-off b...
متن کاملOptimal Stopping Policy for Multivariate Sequences a Generalized Best Choice Problem
In the classical versions of “Best Choice Problem”, the sequence of offers is a random sample from a single known distribution. We present an extension of this problem in which the sequential offers are random variables but from multiple independent distributions. Each distribution function represents a class of investment or offers. Offers appear without any specified order. The objective is...
متن کاملLagrangian Relaxation Method for the Step fixed-charge Transportation Problem
In this paper, a step fixed charge transportation problem is developed where the products are sent from the sources to the destinations in existence of both unit and step fixed-charges. The proposed model determines the amount of products in the existing routes with the aim of minimizing the total cost (sum of unit and step fixed-charges) to satisfy the demand of each customer. As the problem i...
متن کاملStochastic Lagrangian Transport and Generalized Relative Entropies
We discuss stochastic representations of advection diffusion equations with variable diffusivity, stochastic integrals of motion and generalized relative entropies.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2023
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-023-02550-2