LEADER 03092nam 22005055a 450 001 9910155269703321 005 20221206192729.0 010 $a3-03719-663-7 024 70$a10.4171/163 035 $a(CKB)3710000000974382 035 $a(CH-001817-3)206-161005 035 $a(PPN)196466237 035 $a(EXLCZ)993710000000974382 100 $a20161005j20161025 fy 0 101 0 $aeng 135 $aurnn#mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry, analysis and dynamics on sub-Riemannian manifolds$b[electronic resource] $evolume II /$fDavide Barilari, Ugo Boscain, Mario Sigalotti 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2016 215 $a1 online resource (307 pages) 225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176 311 $a3-03719-163-5 327 $tIntroduction to geodesics in sub-Riemannian geometry /$rAndrei Agrachev, Davide Barilari, Ugo Boscain --$tGeometry of subelliptic diffusions /$rAnton Thalmaier --$tGeometric foundations of rough paths /$rPeter K. Friz, Paul Gassiat --$tSobolev and bounded variation functions on metric measure spaces /$rLuigi Ambrosio, Roberta Ghezzi --$tSingularities of vector distributions /$rMichail Zhitomirskii. 330 $aSub-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. 606 $aDifferential & Riemannian geometry$2bicssc 606 $aDifferential geometry$2msc 606 $aPartial differential equations$2msc 606 $aCalculus of variations and optimal control; optimization$2msc 606 $aProbability theory and stochastic processes$2msc 615 07$aDifferential & Riemannian geometry 615 07$aDifferential geometry 615 07$aPartial differential equations 615 07$aCalculus of variations and optimal control; optimization 615 07$aProbability theory and stochastic processes 686 $a53-xx$a35-xx$a49-xx$a60-xx$2msc 701 $aBarilari$b Davide$0791640 701 $aBoscain$b Ugo$0791641 701 $aSigalotti$b Mario$0791642 801 0$bch0018173 906 $aBOOK 912 $a9910155269703321 996 $aGeometry, Analysis and Dynamics on sub-Riemannian Manifolds$92565260 997 $aUNINA