<?xml version="1.0" encoding="utf-8"?> <feed xmlns="http://www.w3.org/2005/Atom"> <title type="text">Recent zbMATH articles in MSC 70L99</title> <id>https://zbmath.org/atom/cc/70L99</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/" /> <link href="https://zbmath.org/atom/cc/70L99" rel="self" /> <generator>Werkzeug</generator> <entry xml:base="https://zbmath.org/atom/cc/70L99"> <title type="text">Generalized transport inequalities and concentration bounds for Riesz-type gases</title> <id>https://zbmath.org/1553.60005</id> <updated>2025-04-04T17:10:03.436181Z</updated> <link href="https://zbmath.org/1553.60005" /> <author> <name>&quot;Garc铆a-Zelada, David&quot;</name> <uri>https://zbmath.org/authors/?q=ai:garcia-zelada.david</uri> </author> <author> <name>&quot;Padilla-Garza, David&quot;</name> <uri>https://zbmath.org/authors/?q=ai:padilla-garza.david</uri> </author> <content type="text">The authors establish several transport and concentration inequalities that serve to explore the connection between a generalized Riesz electric energy and the norms on the set of probability measures defined in terms of duality. These inequalities are a series of Moser-Trudinger like inequalities, which may also be interpreted as bounds on Laplace transform of fluctuations. Among other results, this paper investigates the thermal equilibrium measure for Riesz and more general interactions. The type of interactions treated could be termed as interactions that qualitatively behave like Riesz potentials in both real spaces and Fourier spaces. This paper provides a rich bibliography and many open problems that could be resolved using the results established in the paper. Reviewer: Norbert Youmbi (Loretto)</content> </entry> </feed>