Geometry, analysis and dynamics on sub-Riemannian manifolds [[electronic resource] ] : volume II / / Davide Barilari, Ugo Boscain, Mario Sigalotti

• Pubblicazione: Zuerich, Switzerland, : European Mathematical Society Publishing House, 2016
• Descrizione fisica: 1 online resource (307 pages)
• Soggetto topico: Differential & Riemannian geometry; Differential geometry; Partial differential equations; Calculus of variations and optimal control; optimization; Probability theory and stochastic processes
• Classificazione: 53-xx35-xx49-xx60-xx
• Altri autori: BarilariDavide BoscainUgo SigalottiMario
• Nota di contenuto: Introduction to geodesics in sub-Riemannian geometry / Andrei Agrachev, Davide Barilari, Ugo Boscain -- Geometry of subelliptic diffusions / Anton Thalmaier -- Geometric foundations of rough paths / Peter K. Friz, Paul Gassiat -- Sobolev and bounded variation functions on metric measure spaces / Luigi Ambrosio, Roberta Ghezzi -- Singularities of vector distributions / Michail Zhitomirskii.
• Sommario/riassunto: Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds. In the last twenty years, sub-Riemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology. The aim of the lectures collected here is to present sub-Riemannian structures for the use of both researchers and graduate students.
• Titolo autorizzato: Geometry, Analysis and Dynamics on sub-Riemannian Manifolds
• ISBN: 3-03719-663-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910155269703321
• Lo trovi qui: Univ. Federico II