00845nam0 2200277 450 00002522820090402175603.0047195965020090402d1969----km-y0itay50------baengUSy-------001yyIntroductory statisticsThomas H. Wonnacott, Ronald J. WonnacottNew YorkWileyc1969XII, 403 p.24 cm001000004893Introductory statistics13251Statistica matematica519.520Matematica statisticaWonnacott,Thomas H.21004Wonnacott,Ronald J.21005ITUNIPARTHENOPE20090402RICAUNIMARC000025228211.2/4CNR/426/LNAVA22009Introductory statistics13251UNIPARTHENOPE04651nam 22007695 450 991030038900332120200630104551.03-319-01204-510.1007/978-3-319-01204-9(CKB)2670000000428608(EBL)1466695(SSID)ssj0001010778(PQKBManifestationID)11593327(PQKBTitleCode)TC0001010778(PQKBWorkID)11018177(PQKB)10740826(MiAaPQ)EBC1466695(DE-He213)978-3-319-01204-9(PPN)172423678(EXLCZ)99267000000042860820130916d2014 u| 0engur|n|---|||||txtccrDeterministic Abelian Sandpile Models and Patterns /by Guglielmo Paoletti1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (171 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.3-319-01203-7 Introduction -- The Abelian Sandpile Model -- Algebraic structure -- Identity characterization -- Pattern formation -- Conclusions -- SL(2, Z) -- Complex notation for vectors in R2 -- Generalized quadratic B´ezier curve -- Tessellation.The model investigated in this work, a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-range correlations without any tuning of parameters.   The author derives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarse graining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is added at chosen sites. For example, the author studies the appearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns are also presented. This work has already attracted interest, not only in non-equilibrium statistical mechanics, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with number theory. Lastly, it also poses new questions about an old subject. As such, it will be of interest to computer practitioners, demonstrating the simplicity with which charming patterns can be obtained, as well as to researchers working in many other areas.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Statistical physicsDynamical systemsPhysicsMathematical physicsProbabilitiesComputer simulationComplex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Statistical physics.Dynamical systems.Physics.Mathematical physics.Probabilities.Computer simulation.Complex Systems.Numerical and Computational Physics, Simulation.Mathematical Physics.Probability Theory and Stochastic Processes.Simulation and Modeling.Statistical Physics and Dynamical Systems.530530.15Paoletti Guglielmoauthttp://id.loc.gov/vocabulary/relators/aut791353BOOK9910300389003321Deterministic Abelian Sandpile Models and Patterns1768733UNINA01783nam0 22003251i 450 UON0003298320241105011848.95020020107d1870 |0itac50 bafreCHGFR|||| 1||||Dictionnaire turk-oriental destiné principalement à faciliter la lecture des ouvrages de Bâberd'Aboul-Gâzi et de Mir-Ali-Chir-Nevâïpar M. Pavet de CourteilleParis Imprimé par l'ordre de l'empereur à l'Imprimerie impériale1870xiv, 562 p.26 cmTit. varianteUON00509080UON00509080ˆʼAl-‰Luġāt ʼal-Nawāʼīyah̲ wa-ʼal-ʼistišhādāt ʼal-ğuġtāʼīyah̲ : Dictionnaire turk-oriental destiné principalement à faciliter la lecture des ouvrages de Bâber ...LINGUE TURCHEASIA CENTRALEDIZIONARIUONC010720FIFRParisUONL002984RARI AC II DRARI - ASIA CENTRALE - LINGUISTICA - LINGUE TURCHE IN EPOCA ISLAMICA E SOVIETICAAPavet de CourteilleAbel Jean BaptisteUONV011163826290Abū al-Ghāzī BahādurKhan di KhiwaUONV287489ʿAlī Shīr NavāʾīUONV287490BābarẒahīr al-Dīn MuḥammadImperatore MoghulUONV006585Imprimerie ImpérialeUONV078208650ITSOL20241108RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00032983SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI RARI AC II D 001 SI SA 17807 7 001 Dictionnaire turk-oriental destiné principalement à faciliter la lecture des ouvrages de Bâber2859954UNIOR