01364nam0 2200301 i 450 SUN013365320210415122321.9600.00N978-3-319-12238-020210415d2015 |0engc50 baengCH|||| |||||*Lectures on Particle Physics, Astrophysics and CosmologyProceedings of the Third IDPASC School, Santiago de Compostela, Spain, January 21-February 2, 2013Carlos Merino editorCham : Springer, 2015xxi480 p.ill. ; 24 cmPubblicazione in formato elettronico001SUN01327472001 *Springer Proceedings in Physics161210 BerlinSpringer.CHChamSUNL001889Merino, CarlosSUNV107427International Doctorate Network in Particle Physics, Astrophysics School3.2013Santiago de Compostela, SpainSUNV107428SpringerSUNV000178650ITSOL20210426RICAhttp://doi.org/10.1007/978-3-319-12238-0SUN0133653UFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-book 2374 08eMF2374 20210415 Lectures on Particle Physics, Astrophysics and Cosmology1771604UNICAMPANIA03475nam 22005535 450 991015474560332120230913231922.01-4008-8245-110.1515/9781400882458(CKB)3710000000631324(MiAaPQ)EBC4738728(DE-B1597)467953(OCoLC)979970579(DE-B1597)9781400882458(Perlego)736266(EXLCZ)99371000000063132420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierCombinatorics of Train Tracks. (AM-125), Volume 125 /R. C. Penner, John L. HarerPrinceton, NJ :Princeton University Press,[2016]©19921 online resource (233 pages) illustrationsAnnals of Mathematics Studies ;1250-691-08764-4 0-691-02531-2 Includes bibliographical references.Frontmatter --Contents --Preface --Acknowledgements --Chapter 1. The Basic Theor --Chapter 2. Combinatorial Equivalence --Chapter 3. The Structure of ML0 --Epilogue --Addendum. The Action of Mapping Classes on ML0 --BibliographyMeasured geodesic laminations are a natural generalization of simple closed curves in surfaces, and they play a decisive role in various developments in two-and three-dimensional topology, geometry, and dynamical systems. This book presents a self-contained and comprehensive treatment of the rich combinatorial structure of the space of measured geodesic laminations in a fixed surface. Families of measured geodesic laminations are described by specifying a train track in the surface, and the space of measured geodesic laminations is analyzed by studying properties of train tracks in the surface. The material is developed from first principles, the techniques employed are essentially combinatorial, and only a minimal background is required on the part of the reader. Specifically, familiarity with elementary differential topology and hyperbolic geometry is assumed. The first chapter treats the basic theory of train tracks as discovered by W. P. Thurston, including recurrence, transverse recurrence, and the explicit construction of a measured geodesic lamination from a measured train track. The subsequent chapters develop certain material from R. C. Penner's thesis, including a natural equivalence relation on measured train tracks and standard models for the equivalence classes (which are used to analyze the topology and geometry of the space of measured geodesic laminations), a duality between transverse and tangential structures on a train track, and the explicit computation of the action of the mapping class group on the space of measured geodesic laminations in the surface.Annals of mathematics studies ;no. 125.Geodesics (Mathematics)CW complexesCombinatorial analysisGeodesics (Mathematics)CW complexes.Combinatorial analysis.511/.6SI 830rvkPenner R. C.606391Harer John L.DE-B1597DE-B1597BOOK9910154745603321Combinatorics of Train Tracks. (AM-125), Volume 1252788030UNINA01746oas 2200649 a 450 991014142510332120251106213014.0(DE-599)ZDB2983831-9(OCoLC)646848057(CONSER) 2013235100(CKB)2670000000236438(EXLCZ)99267000000023643820100712b18521908 uy engurbn||||||abpurbn||||||adatxtrdacontentcrdamediacrrdacarrierJournal of the Society of ArtsLondon Society of Arts1852-19082049-7865 Journal of the Society of Arts, and of the institutions in unionTechnologyPeriodicalsSciencePeriodicalsIndustrial artsPeriodicalsSciencesPériodiquesMétiersPériodiquesIndustrial artsfast(OCoLC)fst00970804Sciencefast(OCoLC)fst01108176Technologyfast(OCoLC)fst01145078Periodicals.fastTechnologyScienceIndustrial artsSciencesMétiersIndustrial arts.Science.Technology.606Society of Arts (Great Britain)OCLCEOCLCEEYMOCLCQHULOCLCFOCLCOOCLCQOCLCLQGKOCLCQJOURNAL9910141425103321Journal of the Society of Arts1825108UNINA