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Wednesday, April 29, 2020 | History

5 edition of P-adic analysis and mathematical physics found in the catalog.

P-adic analysis and mathematical physics

  • 22 Want to read
  • 16 Currently reading

Published by World Scientific in Singapore, River Edge, NJ .
Written in English

    Subjects:
  • P-adic analysis.,
  • Mathematical physics.

  • Edition Notes

    Includes bibliogrpahical references (p. 302-319).

    StatementV.S. Vladimirov, I.V. Volovich, and E.I. Zelenov.
    SeriesSeries on Soviet & East European mathematics ;, vol. 1, Series on Soviet and East European mathematics ;, v. 1
    ContributionsVolovich, I. V., Zelenov, E. I.
    Classifications
    LC ClassificationsQA241 .V54 1994
    The Physical Object
    Paginationxviii, 319 p. ;
    Number of Pages319
    ID Numbers
    Open LibraryOL832016M
    ISBN 109810208804
    LC Control Number95106318
    OCLC/WorldCa30907657

      In this paper we consider the countable state p-adic Potts model on the Cayley tree. A construction of p-adic Gibbs measures which depends on weights λ is given, and an investiga.


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P-adic analysis and mathematical physics by V. S. Vladimirov Download PDF EPUB FB2

P-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical and mathematical : Hardcover.

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This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory Cited by: These lecture notes are intended as an introduction to p-adic analysis on the elementary level.

For this reason they presuppose as little background as possi­ ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics Author: Neal Koblitz. Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Other Quantitative Biology () Journal reference: p-Adic Numbers Ultrametric Anal.

Appl. 9 (2), 87 Cited by: Kurt Hensel () discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at P-adic analysis and mathematical physics book are now well-established in the mathematical world and used more and more by physicists as well.

This book offers a self-contained presentation of basic p-adic analysis. Analysis of fractals P-adic analysis and mathematical physics book dependent branching by box counting, P-adic coverages, and systems of equations of P-adic coverages T. Dedovich and M.

Tokarev 8 November | Physics of. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory.

The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes. tion to some aspects of p-adic mathematical physics could be helpful for the readers of the first issue of the journal p -Adic Numbers, Ultr ametric Analysis and Applications.

In this paper, we study how a p-adic number field acts on an arbitrarily fixed W *-algebra, and how it affects the original free-probabilistic information on the W *-algebra, for each prime particular, by.

This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis. A relation of p -adic string theory to number-theoretic Langlands duality is hypothesized and explored somewhat it Michele Nardelli, On the link between the structure of A-branes observed in the homological mirror symmetry and the classical theory of automorphic forms: mathematical.

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- Buy A Course in p-adic Analysis (Graduate Texts in Mathematics) book online at best prices in India on Read A Course in p-adic Analysis (Graduate Texts in Mathematics) book Author: Alain M. Robert. In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.

The theory of complex-valued numerical functions on the p-adic numbers. A brief review of some selected topics in p-adic mathematical physics is presented.

Volovich and E. Zelenov, p-Adic Analysis and Mathematical Physics (World Scientific, Singapore, ). On p-adic mathematical physics Cited by: Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics.

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On p-Adic Mathematical Physics - Dragovich, B. et al. 1 () arXiv [math-ph] Update these references [1] J. Serre, A Course in Arithmetics. Springer. (GTM 7, ). [2] I. Cited by: There is an excellent book by Neal Koblitz "p-adic numbers, p-adic analysis and zeta-functions" were the Dwork's proof is stated in a very detailed way, including all preliminaries from p-adic analysis.

-theory atical-physics p-adic-analysis. answered Jan 9 '17 at see Section of my GTM book. Mathematical Methods of Theoretical Physics vii Test function class II,— Test function class III: Tempered dis-tributions and Fourier transforms,— Test function class C1, File Size: 2MB.

p-adic quantum mechanics is a collection of related research efforts in quantum physics that replace real numbers with p-adic numbers.

Historically, this research was inspired by the discovery that the. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small.

Get this from a library. P-adic analysis and mathematical physics. [V S Vladimirov; I V Volovich; E I Zelenov] -- P-adic numbers play a very important role in modern number theory, algebraic geometry. International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS,Belgrade, Serbia.

This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems.

More recently, p-adic num­ bers have shown up in other areas of mathematics, and even in physics. This work aims to show that p-adic analysis is the natural tool to study, in a rigorous mathematical way, reaction-diffusion systems on networks and the corresponding Turing patterns.

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p-Adic mathematical physics emerged as a result of e orts to nd a non-Archimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful File Size: KB.

Stanislaw Ulam wrote a paper long ago on whether p-adic stuff could be used in Physics, I never heard of any useful follow-up. The p-adic numbers are a way of organising solutions to a Diophantine equation.

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Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall; Applied Math Textbook by Sean Mauch; Mathematical Tools for Physics by James A Course in p-adic Analysis Author: Kevin de Asis.

Number Theory Books, P-adic Numbers, p-adic Analysis and Zeta-Functions, (2nd edn.)N. Koblitz, Graduate T Springer Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit, MIT Press, August ; Automorphic Forms and Representations, D. Bump, CUP ; Notes on Fermat's Last Theorem, A.J.

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It only takes a minute to sign up. Volovich and Zelenov write at the beginning of their book on mathematical physics: Neal Koblitz treats the Shnirelman integral in his book "P-adic Analysis.4 Most Efficient reference books for Mathematical Physics (preferably at Post graduate level, but these are equally good for undergraduates) 1) Mathematical methods in Physical sciences - Mary L Boas.

(A great book .My problem with reading physics textbooks would be my yearning for some sort of "rigorous foundations" from the beginning. I would open something like an introductory quantum mechanics book and they would just lay out the mathematical .