01032nam0-22003011i-450-99000175299040332120070712105649.0000175299FED01000175299(Aleph)000175299FED0100017529920030910d1990----km-y0itay50------baengThree-gap models, optimal growth and the economic dynamics of highly indebted countriesOmar O. Chisari, Jose M. FanelliSienaUniversità degli Studi199035 p.24 cmQuaderni del Dipartimento di economia politicaUniversità degli studi di Siena101Economia politica330.1Chisari,Omar O.76165Fanelli,José M.ITUNINARICAUNIMARCBK99000175299040332160 330.1 B 54/1013293FAGBCFAGBCThree-gap models, optimal growth and the economic dynamics of highly indebted countries363386UNINA00955cam0 22002893 450 SOB02227120210729100310.0033301127920040211d1972 |||||ita|0103 baengUKWordsworthLyrical BalladsA casebook edited by Alun R. Jonesand William TydemanLondonMacMillan1972253 p.22 cmWordsworth [...]UF000029321290385Wordsworth, WilliamAF00006380070163540JONES, Alun_R.AF00023639070TYDERMAN, WilliamAF00023640070ITUNISOB20210729RICAUNISOBUNISOB820111781SOB022271M 102 Monografia moderna SBNM820002382SI111781dono CorradoAlfanoUNISOBUNISOB20150603091914.020150603091934.0AlfanoWordsworth1290385UNISOB03858nam 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 walk4202897UNINA