کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772296 1413358 2017 79 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Kantorovich duality for general transport costs and applications
ترجمه فارسی عنوان
دوگانگی کانتوروویچ برای هزینه ها و برنامه های حمل و نقل عمومی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We introduce a general notion of transport cost that encompasses many costs used in the literature (including the classical one and weak transport costs introduced by Talagrand and Marton in the 90's), and prove a Kantorovich type duality theorem. As a by-product we obtain various applications in different directions: we give a short proof of a result by Strassen on the existence of a martingale with given marginals, we characterize the associated transport-entropy inequalities together with the log-Sobolev inequality restricted to convex/concave functions. We also provide explicit examples of discrete measures satisfying the weak transport-entropy inequalities derived here.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 273, Issue 11, 1 December 2017, Pages 3327-3405
نویسندگان
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