03858nam 2200637 a 450 991043813760332120200520144314.01-283-90946-41-4614-6025-510.1007/978-1-4614-6025-1(CKB)2670000000278609(EBL)1082062(OCoLC)820204654(SSID)ssj0000799143(PQKBManifestationID)11497635(PQKBTitleCode)TC0000799143(PQKBWorkID)10762929(PQKB)10887864(DE-He213)978-1-4614-6025-1(MiAaPQ)EBC1082062(PPN)16830452X(EXLCZ)99267000000027860920121022e20131996 uy 0engur|n|---|||||txtccrThe self-avoiding walk /Neal Madras, Gordon Slade1st ed. 2013.New York Springer20131 online resource (435 p.)Modern Birkhauser classicsReprint of the 1996 edition."Originally published in the series Probability and its applications"--T.p. verso.1-4614-6024-7 Includes bibliographical references and index.Preface.-  Introduction -- Scaling, polymers and spins -- Some combinatorial bounds -- Decay of the two-point function -- The lace expansion -- Above four dimensions -- Pattern theorems -- Polygons, slabs, bridges and knots -- Analysis of Monte Carlo methods -- Related Topics -- Random walk -- Proof of the renewal theorem -- Tables of exact enumerations -- Bibliography -- Notation -- Index. .The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple definition—a path on a lattice that does not visit the same site more than once—it is difficult to analyze mathematically. The Self-Avoiding Walk provides the first unified account of the known rigorous results for the self-avoiding walk, with particular emphasis on its critical behavior. Its goals are to give an account of the current mathematical understanding of the model, to indicate some of the applications of the concept in physics and in chemistry, and to give an introduction to some of the nonrigorous methods used in those fields.    Topics covered in the book include: the lace expansion and its application to the self-avoiding walk in more than four dimensions where most issues are now resolved; an introduction to the nonrigorous scaling theory; classical work of Hammersley and others; a new exposition of Kesten’s pattern theorem and its consequences; a discussion of the decay of the two-point function and its relation to probabilistic renewal theory; analysis of Monte Carlo methods that have been used to study the self-avoiding walk; the role of the self-avoiding walk in physical and chemical applications. Methods from combinatorics, probability theory, analysis, and mathematical physics play important roles. The book is highly accessible to both professionals and graduate students in mathematics, physics, and chemistry.  .Modern Birkhäuser Classics,2197-1803Self-avoiding walks (Mathematics)Statistical physicsChemistry, Physical and theoreticalMathematicsSelf-avoiding walks (Mathematics)Statistical physics.Chemistry, Physical and theoreticalMathematics.519.233Madras Neal65909Slade G(Gordon)296628MiAaPQMiAaPQMiAaPQBOOK9910438137603321The self-avoiding walk4202897UNINA04820nam 2200685Ia 450 991102037820332120200520144314.09786613407931978128340793912834079309781444392272144439227197814443922961444392298(CKB)3400000000000369(EBL)675221(OCoLC)742333214(SSID)ssj0000482415(PQKBManifestationID)11269899(PQKBTitleCode)TC0000482415(PQKBWorkID)10525759(PQKB)11116583(MiAaPQ)EBC675221(Perlego)2786489(EXLCZ)99340000000000036920100921d2011 uy 0engur|n|---|||||txtccrTropical rain forests an ecological and biogeographical comparison /Richard T. Corlett and Richard B. Primack2nd ed.Chichester, West Sussex ;Hoboken, NJ Wiley-Blackwellc20111 online resource (338 p.)Rev. ed. of : Tropical rain forests : an ecological and biogeographical comparison / Richard Primack & Richard Corlett. c2005.9781444332551 1444332554 9781444332544 1444332546 Includes bibliographical references and index.Tropical RainForests; Contents; Preface to the first edition; Preface to the second edition; Acknowledgments; Chapter 1 Many Tropical Rain Forests; What are tropical rain forests?; Where are the tropical rain forests?; Rain forest environments; Rain forest histories; Origins of the similarities and differences among rain forests; Many rain forests; Conclusions; Chapter 2 Plants: Building Blocks of the Rain Forest; Plant distributions; Rain forest structure; How many plant species?; Widespread plant families; Neotropical rain forests; Asian rain forestsRain forests in New Guinea and AustraliaAfrican rain forests; Madagascan rain forests; Conclusions and future research directions; Chapter 3 Primate Communities: A Key to Understanding Biogeography and Ecology; What are primates?; Old World versus New World primates; Primate diets; Primate communities; Primate equivalents in Australia and New Guinea; Conclusions and future research directions; Chapter 4 Carnivores and Plant-eaters; Carnivores; Herbivores of the forest floor; Conclusions and future research directions; Chapter 5 Birds: Linkages in the Rain Forest Community; BiogeographyLittle, brown, insect-eating birdsForest frugivores; Fruit size and body size; Flower visitors; Ground-dwellers; Woodpeckers; Birds of prey; Scavengers; Night birds; Migration; Comparison of bird communities across continents; Conclusions and future research directions; Chapter 6 Fruit Bats and Gliding Animals in the Forest Canopy; Fruit- and nectar-feeding bats; Flying behavior; Foraging behavior; Bats as pollinators and seed dispersal agents; Gliding vertebrates; Conclusions and future research directions; Chapter 7 Insects: Diverse, Abundant, and Ecologically Important; Butterflies; AntsTermitesBees; Conclusions and future research directions; Chapter 8 Island Rain Forests; Pacific islands; Evolution on islands; Indian Ocean islands; Atlantic islands; Caribbean islands; Natural disasters; Human impacts; Conclusions and future research directions; Chapter 9 The Future of Tropical Rain Forests; Different forests, different threats; The major threats; The forces behind the threats; Global climate change; Saving the many rain forests; Conclusions and future research directions; References; IndexThe first edition of Tropical Rain Forests: an Ecological and Biogeographical Comparison exploded the myth of 'the rain forest' as a single, uniform entity. In reality, the major tropical rain forest regions, in tropical America, Africa, Southeast Asia, Madagascar, and New Guinea, have as many differences as similarities, as a result of their isolation from each other during the evolution of their floras and faunas. This new edition reinforces this message with new examples from recent and on-going research. After an introduction to the environments and geological histories of the majRain forestsRain forest ecologyRain forests.Rain forest ecology.577.34Corlett Richard312641Primack Richard B.1950-293344MiAaPQMiAaPQMiAaPQBOOK9911020378203321Tropical rain forests807315UNINA