01602nam a2200361 i 450099100016649970753620020506110014.0990317s1982 it ||| | ita 8840803734 [v.1]b10039855-39ule_instLE02614309ExLDip.to Ingegneria dell'Innovazioneita530Halliday, David982Fisica /David Halliday, Robert Resnick 3a ed. /traduzione a cura di Michelangelo Fazio ; revisione e presentazione Renato MalvanoMilano :Ambrosiana,c 1982v. ;26 cm Tit. orig. : Physicsv.1: Fisica 1. -xi, 645 p.v.2: Fisica 2. -x, 670 p.Fisica generaleResnick, Robertauthorhttp://id.loc.gov/vocabulary/relators/aut983Fazio, MichelangeloMalvano, Renato.b1003985522-10-1931-05-02991000166499707536LE026 530 D HAL 01.01 V.I C.1 1982V.I -C.1 smarrito12026000003276le026NON CANCELLARE ITEM : testo smarritonE0.00-lm 01010.i1004516831-05-02LE026 530 D HAL 01.01 V.II C.1 1982V.II-C.112026000003283le026-E0.00-l- 08517850.i1004517x31-05-02LE026 530 D HAL 01.01 V.II C.2 1982V.II-C.202026000003290le026-E0.00-l- 0103161030.i1004518131-05-02Physics28016UNISALENTOle02601-01-99ma -itait 0305591nam 22007215 450 991051217380332120250515004847.03-030-81976-010.1007/978-3-030-81976-7(CKB)5100000000152469(MiAaPQ)EBC6857161(Au-PeEL)EBL6857161(PPN)259388114(DE-He213)978-3-030-81976-7(EXLCZ)99510000000015246920211201d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAdvances in Non-Archimedean Analysis and Applications The p-adic Methodology in STEAM-H /edited by W. A. Zúñiga-Galindo, Bourama Toni1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (326 pages) illustrationsSTEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health,2520-19483-030-81975-2 Includes bibliographical references and index.1. Introduction: advancing non-Archimedean mathematics -- 2. The p-adic Theory of Automata Functions -- 3. Chaos in p-adic statistical lattice models: Potts model -- 4. QFT, RG, an all that, for Mathematicians, in eleven pages -- 5. Phase operator on L2(Qp) and the zeroes of Fisher and Riemann -- 6. On non-Archimedean valued fields: a survey of algebraic, topological and metric structures. Analysis and applications -- 7. Non-Archimedean Models of Morphogenesis -- 8. p-adic Wave Equation on finite Graph and T0-spaces -- 9. A Riemann-Roch theorem on network.This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance,proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences.STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health,2520-1948Number theoryDynamicsAlgebraic fieldsPolynomialsFunctions of real variablesMathematical analysisNumber TheoryDynamical SystemsField Theory and PolynomialsReal FunctionsAnalysisNumber theory.Dynamics.Algebraic fields.Polynomials.Functions of real variables.Mathematical analysis.Number Theory.Dynamical Systems.Field Theory and Polynomials.Real Functions.Analysis.512.74Zúñiga-Galindo W. A.Toni BouramaMiAaPQMiAaPQMiAaPQBOOK9910512173803321Advances in non-Archimedean analysis and applications2786718UNINA