000			03814nam a22004218i 4500
001			CR9781107297296
003			UkCbUP
005			20200124160334.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			130710s2014||||enk o ||1 0|eng|d
020			_a9781107297296 (ebook)
020			_z9781107689497 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA402.6 _b.O68 2009
082	0	4	_a519.0 _223
111	2		_aOptimal Transportation: Theory and Applications (Summer school) _d(2009 : _cInstitut Fourier)
245	1	0	_aOptimal transportation : _btheory and applications / _cedited by Yann Ollivier, Hervé Pajot, Cédric Villani.
264		1	_aCambridge : _bCambridge University Press, _c2014.
300			_a1 online resource (x, 306 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v413
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aShort courses: Introduction to optimal transport theory / Filippo Santambrogio -- Models and applications of optimal transport in economics, traffic, and urban planning / Filippo Santambrogio --Logarithmic Sobolev inequality for diffusion semigroups / Ivan Gentil -- Lecture notes on variational models for incompressible Euler equations / Luigi Ambrosio and Alessio Figalli -- Ricci flow : the foundations via optimal transportation / Peter Topping -- Lecture notes on gradient flows and optimal transport / Sara Daneri and Giuseppe Savaré -- Ricci curvature, entropy, and optimal transport / Shin-ichi Ohta -- Surveys and research papers: Computing a mass transport problem with a least-squares method / Olivier Besson, Martine Picq, and Jérome Poussin -- On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, and Walter Schachermayer -- Optimal coupling for mean field limits / François Bolley -- Functional inequalities via Lyapunov conditions /PatrockCattiaux and Arnaud Guillin -- Size of the medial axis and stability of Federer's curvature measures / Quentin Mérigot.
520			_aThe theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.
650		0	_aTransportation problems (Programming) _vCongresses.
650		0	_aMathematical optimization _vCongresses.
650		0	_aCombinatorial analysis _vCongresses.
650		0	_aMatrices _vCongresses.
700	1		_aOllivier, Yann, _d1978- _eeditor.
700	1		_aPajot, Hervé, _d1967- _eeditor.
700	1		_aVillani, Cédric, _d1973- _eeditor.
776	0	8	_iPrint version: _z9781107689497
830		0	_aLondon Mathematical Society lecture note series ; _v413.
856	4	0	_uhttps://doi.org/10.1017/CBO9781107297296
999			_c522832 _d522830