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Record Nr. |
UNINA9910155269703321 |
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Titolo |
Geometry, analysis and dynamics on sub-Riemannian manifolds [[electronic resource] ] : volume II / / Davide Barilari, Ugo Boscain, Mario Sigalotti |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (307 pages) |
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Collana |
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EMS Series of Lectures in Mathematics (ELM) ; , 2523-5176 |
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Classificazione |
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Altri autori (Persone) |
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BarilariDavide |
BoscainUgo |
SigalottiMario |
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Soggetti |
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Differential & Riemannian geometry |
Differential geometry |
Partial differential equations |
Calculus of variations and optimal control; optimization |
Probability theory and stochastic processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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, |
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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. |
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