On p-adic mathematical physics
暂无分享,去创建一个
S. V. Kozyrev | I. V. Volovich | A. Khrennikov | S. Kozyrev | B. Dragovich | I. Volovich | A. Yu. Khrennikov | B. Dragovich | I. Volovich
[1] S. V. Kozyrev,et al. Replica Symmetry Breaking Related to a General Ultrametric Space Ii: Rsb Solutions and the N → 0 Limit , 2022 .
[2] S.V.Kozyrev. p-Adic pseudodifferential operators and p-adic wavelets , 2003, math-ph/0303045.
[3] V. S. Vladimirov. Generalized functions over the field of p-adic numbers , 1988 .
[4] Yu. N. Zhuravlev,et al. An evolutionary interpretation of the p-adic ultrametric diffusion equation , 2007 .
[5] S. Albeverio,et al. p-Adic Multiresolution Analysis and Wavelet Frames , 2008, 0802.1079.
[6] A. Kochubei. Analysis and Prbability over Infinite Extensions of a Local Field , 1998, math/9807062.
[7] A. Yu. Khrennikov. p-Adic probability theory and its applications. The principle of statistical stabilization of frequencies , 1993 .
[8] M. Pitkänen. Could Genetic Code Be Understood Number Theoretically ? , 2008 .
[9] S. V. Kozyrev,et al. Replica Symmetry Breaking Related to a General Ultrametric Space I: Replica Matrices and Functionals , 2022 .
[10] p-adic inflation , 2006, hep-th/0612230.
[11] Bernard Dwork,et al. An introduction to G-functions , 1994 .
[12] J. Benedetto,et al. A wavelet theory for local fields and related groups , 2003, math/0312036.
[13] Frames of p-adic wavelets and orbits of the affine group , 2008, 0801.4713.
[14] W. A. Zúñiga-Galindo. Parabolic Equations and Markov Processes Over p-Adic Fields , 2006 .
[15] S. V. Kozyrev,et al. Ultrametric random field. , 2006 .
[16] Noncommutative Field Theories and (Super)String Field Theories , 2001, hep-th/0111208.
[17] P-adic single-loop calculations , 1990 .
[18] On generalized functions in adelic quantum mechanics , 1998, math-ph/0404076.
[19] Andrei Khrennikov. Probabilistic pathway representation of cognitive information. , 2004, Journal of theoretical biology.
[20] Edward Witten,et al. ADELIC STRING AMPLITUDES , 1987 .
[21] E. Zelenov. p‐adic path integrals , 1991 .
[22] I. Aref’eva,et al. Time Evolution in Superstring Field Theory on Non-bps Brane. I. Rolling Tachyon and Energy-momentum Conservation , 2003 .
[23] G. Calcagni,et al. Route to nonlocal cosmology , 2007, 0705.3043.
[24] B. Dragovic. p-adic perturbation series and adelic summability , 1991 .
[25] J. Silverman. The Arithmetic of Dynamical Systems , 2007 .
[26] Noncommutative geometry on trees and buildings , 2006, math/0604114.
[27] D. Prokhorenko. On Some Nonlinear Integral Equation in the (Super)String Theory , 2006, math-ph/0611068.
[28] I. Volovich,et al. p-adic superstrings , 1988 .
[29] V. S. Varadarajan. Path Integrals for a Class of P-Adic Schrödinger Equations , 1997 .
[30] Andrei Khrennikov,et al. P-ADIC DYNAMICAL SYSTEMS AND NEURAL NETWORKS , 1999 .
[31] Igor Volovich,et al. Analysis of Business Connections Utilizing Theory of Topology of Random Graphs , 2006 .
[32] Decay of Solutions of Wave-type Pseudo-differential Equations over p-adic Fields , 2005, math-ph/0504026.
[33] THE INFINITE-DIMENSIONAL p-ADIC SYMPLECTIC GROUP , 1994 .
[35] Branko Dragovich. Adelic Harmonic Oscillator , 1995 .
[36] Franco Vivaldi,et al. Galois theory of periodic orbits of rational maps , 1992 .
[37] Alain Escassut,et al. Ultrametric Banach Algebras , 2003 .
[38] I. Volovich,et al. Quantum group particles and non-archimedean geometry , 1991 .
[39] K. Yasuda. Additive Processes on Local Fields , 1996 .
[40] Igor Volovich,et al. p-adic string , 1987 .
[41] Andrei Khrennikov,et al. Distributional asymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems , 2006, Asymptot. Anal..
[42] I. V. Volovich,et al. p-adic space-time and string theory , 1987 .
[43] INTERACTION MEASURES ON THE SPACE OF DISTRIBUTIONS OVER THE FIELD OF p-ADIC NUMBERS , 2003, math-ph/0308042.
[44] I. Aref’eva. Nonlocal String Tachyon as a Model for Cosmological Dark Energy , 2004 .
[45] A. D. Mironov,et al. Multiloop calculations inp-adic string theory and Bruhat-Tits trees , 1989 .
[46] V A Avetisov,et al. p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes , 2002 .
[47] Sergei Kozyrev,et al. Wavelet analysis as a p-adic spectral analysis , 2008 .
[48] Anatoly N. Kochubei,et al. p-adic commutation relations , 1996 .
[49] p-Adic Path Integrals for Quadratic Actions , 1997, math-ph/0005026.
[50] Cosmic acceleration and crossing of w = −1 barrier in non-local Cubic Superstring Field Theory model , 2006, hep-th/0605085.
[51] A. Khrennikov,et al. Wavelets on ultrametric spaces , 2005 .
[52] S. Haran. The mysteries of the real prime , 2001 .
[53] ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE , 2005, math-ph/0510024.
[54] Branko Dragovich,et al. A p-adic model of DNA sequence and genetic code , 2006, ArXiv.
[55] A. Khrennikov,et al. Mathematical methods of non-Archimedean physics , 1990 .
[56] B. Dragovich. Zeta-nonlocal scalar fields , 2008, 0804.4114.
[57] K. Hirsch,et al. Representation theory and automorphic functions , 1969 .
[58] A. Khrennikov,et al. Non-Haar $p$-adic wavelets and their application to pseudo-differential operators and equations , 2008, 0808.3338.
[59] A. Connes,et al. Noncommutative Geometry, Quantum Fields and Motives , 2007 .
[60] S. V. Kozyrev,et al. Application of p-adic analysis to models of breaking of replica symmetry , 1999 .
[61] A Khrennikov,et al. Classical and quantum dynamics on p-adic trees of ideas. , 2000, Bio Systems.
[62] V. Smirnov. Calculation of generalp-adic Feynman amplitude , 1992 .
[63] WEAK SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS OVER THE FIELD OF $p$-ADIC NUMBERS , 2007, 0708.1706.
[64] G. Kalisch. On p-Adic Hilbert Spaces , 1947 .
[65] Nonlinear Dynamics Equation in p-Adic String Theory , 2003, math-ph/0306018.
[66] J. Yoccoz,et al. Generalizations of some theorems of small divisors to non archimedean fields , 1983 .
[67] V. Arnold. Number-Theoretical Turbulence in Fermat–Euler Arithmetics and Large Young Diagrams Geometry Statistics , 2005 .
[68] Siegfried Bosch,et al. p-adic Analysis , 1990 .
[69] N. N. Bogoljubov. On a new method in the theory of superconductivity , 1958 .
[70] S. V. Kozyrev,et al. Genetic code on the diadic plane , 2007, q-bio/0701007.
[71] E. Witten,et al. Non-archimedean string dynamics , 1988 .
[72] S. Albeverio,et al. On the Fourier transform and the spectral properties of the p-adic momentum and Schrödinger operators , 1997 .
[73] Open and closed p-adic strings and quadratic extensions of number fields , 1988 .
[74] I. V. Volovich,et al. Superanalysis. II. Integral calculus , 1984 .
[75] Jenny Benois-Pineau,et al. Segmentation of images in p-Adic and Euclidean Metrics , 2001 .
[76] p-ADIC AND ADELIC MINISUPERSPACE QUANTUM COSMOLOGY , 2001, gr-qc/0105050.
[77] I. Aref’eva,et al. Dynamics in nonlocal linear models in the Friedmann–Robertson–Walker metric , 2007, 0711.1364.
[78] V. A. Avetisov,et al. Application of p-adic analysis to models of spontaneous breaking of the replica symmetry , 2008 .
[79] K. Brown,et al. Graduate Texts in Mathematics , 1982 .
[80] Anatoly N. Kochubei,et al. A non-Archimedean wave equation , 2007, 0707.2653.
[81] Ashoke Sen,et al. Tachyon condensation and brane descent relations in p-adic string theory , 2000 .
[82] A. Escassut. Analytic Elements in P-Adic Analysis , 1995 .
[83] A. Yu. Khrennikov,et al. p‐adic quantum mechanics with p‐adic valued functions , 1991 .
[84] P. Schneider. Continuous representation theory of p-adic Lie groups , 2006 .
[85] G. Sardanashvily,et al. What is geometry in quantum theory , 2004 .
[86] Non-local SFT tachyon and cosmology , 2007, hep-th/0701103.
[87] A. Weil. Sur certains groupes d'opérateurs unitaires , 1964 .
[88] Bernard Dwork,et al. An Introduction to G-Functions. (AM-133), Volume 133 , 1994 .
[89] V. M. Shelkovich,et al. p-Adic Haar Multiresolution Analysis and Pseudo-Differential Operators , 2007, 0705.2294.
[90] G. Toulouse,et al. Ultrametricity for physicists , 1986 .
[91] Andrei Khrennikov,et al. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models , 2011 .
[92] M. Mézard,et al. Spin Glass Theory and Beyond , 1987 .
[93] Сергей Владимирович Козырев,et al. Всплески и спектральный анализ ультраметрических псевдодифференциальных операторов@@@Wavelets and spectral analysis of ultrametric pseudodifferential operators , 2007 .
[94] p-ADIC AND ADELIC FREE RELATIVISTIC PARTICLE , 1999, hep-th/0005216.
[95] Matilde Marcolli,et al. Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory , 2004, hep-th/0411114.
[96] Vladimir Anashin,et al. Ergodic Transformations in the Space of p‐Adic Integers , 2006, math/0602083.
[97] L. J. Mordell. Review: Z. I. Borevich and I. R. Shafarevich, Number theory , 1965 .
[98] René Schmidt. Arithmetic gravity and Yang-Mills theory: An approach to adelic physics via algebraic spaces , 2008, 0809.3579.
[99] Replica symmetry breaking related to a general ultrametric space III: The case of general measure , 2007 .
[100] Igor Volovich,et al. p-adic quantum mechanics , 1989 .
[101] Anatoly N. Kochubei,et al. Pseudo-differential equations and stochastics over non-archimedean fields , 2001 .
[102] p-adic Heisenberg group and Maslov index , 1993 .
[103] H. Kaneko,et al. Capacities associated with Dirichlet space on an infinite extension of a local field , 2005 .
[104] A. Khrennikov,et al. Pseudodifferential operators on ultrametric spaces and ultrametric wavelets , 2004 .
[105] p‐Adic Models of Turbulence , 2006 .
[106] N. V. Kotovich,et al. Compression of images with the use of representations by p-Adic mappings and approximations by Mahler polynomials , 2004 .
[107] Andrei Khrennikov,et al. Interpretations of Probability , 1999 .
[108] L. Joukovskaya,et al. Time lumps in nonlocal stringy models and cosmological applications , 2005 .
[109] p-ADIC AND ADELIC GENERALIZATION OF QUANTUM COSMOLOGY , 1999 .
[110] I. Volovich,et al. On the adelic string amplitudes , 1988 .
[111] S Albeverio,et al. Memory retrieval as a p-adic dynamical system. , 1999, Bio Systems.
[112] Hausdorff Measure for a Stable-Like Process over an Infinite Extension of a Local Field , 2001, math/0107156.
[113] V. S. Anachin. Uniformly distributed sequences ofp-adic integers , 1994 .
[114] On $p$-adic Gibbs measures of countable state Potts model on the Cayley tree , 2007, 0705.0244.
[115] Al'bert Khakimovich Bikulov,et al. Иерархическая динамическая модель финансового рынка вблизи точки обвала и $p$-адический математический анализ@@@Hierarchical dynamical model of financial market near the crash point and $p$-adic mathematical analysis , 2006 .
[117] I. Volovich,et al. Quantization of the Riemann Zeta-Function and Cosmology , 2007, hep-th/0701284.
[118] A. Yu. Khrennikov. P-ADIC DYNAMIC SYSTEMS : DESCRIPTION OF COMPETITION IN BIOLOGICAL POPULATION OF LIMITED GROWTH , 1998 .
[119] Sergio Albeverio,et al. Representations of the Weyl group in spaces of square integrable functions with respect to p-adic valued Gaussian distributions , 1996 .
[120] I. Aref’eva,et al. Noncommutative Field Theories and (Super)String Field Theories , 2001 .
[121] Quantum fields and motives , 2005, hep-th/0504085.
[122] Sergio Albeverio,et al. A random walk on p-adics - the generator and its spectrum , 1994 .
[123] Brian Conrad,et al. -adic Geometry: Lectures from the 2007 Arizona Winter School , 2008 .
[124] Anatoly N. Kochubei,et al. A Schrödinger‐type equation over the field of p‐adic numbers , 1993 .
[125] J. Doob. Stochastic processes , 1953 .
[126] Helmut Hasse,et al. Number Theory , 2020, An Introduction to Probabilistic Number Theory.
[127] Igor Volovich. Harmonic analysis and p-adic strings , 1988 .
[128] Matilde Marcolli,et al. Spectral triples from Mumford curves , 2002, math/0210435.
[129] L. Joukovskaya. Dynamics in nonlocal cosmological models derived from string field theory , 2007, 0707.1545.
[130] R. Jackiw,et al. Broken symmetry : selected papers of Y. Nambu , 1995 .
[131] V. M. Gundlach,et al. A p-Adic model for the process of thinking disturbed by physiological and information noise. , 1999, Journal of theoretical biology.
[132] P. Freund,et al. p-adic numbers in physics , 1993 .
[133] V. Gorbachuk,et al. On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. II , 2003, math/0305074.
[134] I. Aref’eva,et al. Super) string field theories , 2001 .
[135] Chung-Chun Yang,et al. Meromorphic Functions over Non-Archimedean Fields , 2000 .
[136] A Khrennikov,et al. Human subconscious as a p-adic dynamical system. , 1998, Journal of theoretical biology.
[137] S. V. Kozyrev. Toward an ultrametric theory of turbulence , 2008 .
[138] P. Freund,et al. Non-archimedean strings , 1987 .
[139] S. Evans. Local field brownian motion , 1993 .
[140] Linear fraction P-Adic and adelic dynamical systems , 2006, math-ph/0612058.
[141] I. Volovich. Number theory as the ultimate physical theory , 1987 .
[142] V. S. Vladimirov. On the non-linear equation of a p-adic open string for a scalar field , 2005 .
[143] Okada,et al. Effective scalar field theory of p-adic string. , 1988, Physical review. D, Particles and fields.
[144] D. Arrowsmith,et al. Geometry of p -adic Siegel discs , 1994 .
[145] A. Connes,et al. From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices , 2004, math/0404128.
[146] Shai Haran,et al. Analytic potential theory over the $p$-adics , 1993 .
[147] A. Connes,et al. Noncommutative geometry and motives: The thermodynamics of endomotives , 2005, math/0512138.
[148] Branko Dragovich,et al. p-Adic and Adelic Quantum Mechanics , 2003, hep-th/0312046.
[149] I. V. Volovich,et al. SUPERANALYSIS. I. DIFFERENTIAL CALCULUS , 1984 .
[150] Andrie Khrennikov. p-Adic Discrete Dynamical Systems and Collective Behaviour of Information States in Cognitive Models , 2000 .
[151] Jean-Pierre Serre. A Course in Arithmetic , 1973 .
[152] S. V. Kozyrev,et al. p-Adic Pseudodifferential Operators and p-Adic Wavelets , 2003, math-ph/0303045.
[153] Adelic path integrals for quadratic Lagrangians , 2001, hep-th/0105030.
[154] V. S. Vladimirov,et al. P-adic Schrödinger-type equation , 1989 .
[155] p-Adic Schrödinger-type operator with point interactions , 2007, math-ph/0703077.
[156] Andrei Khrennikov,et al. p-Adic Valued Distributions in Mathematical Physics , 1994 .
[157] A. Kochubei,et al. PARABOLIC EQUATIONS OVER THE FIELD OF $ p$-ADIC NUMBERS , 1992 .
[158] B. Dragovich,et al. THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY , 1991 .
[159] V. Voevodsky. Motives over simplicial schemes , 2008, 0805.4431.
[160] Nishino,et al. Theory of p-adic closed strings. , 1989, Physical review letters.
[161] Extension of measures to infinite-dimensional spaces over $p$-adic field , 2000 .
[162] S. Albeverio,et al. ON THE SPECTRUM OF THE P-ADIC POSITION OPERATOR , 1997 .
[163] N. V. Kotovich,et al. Representation and compression of images with the aid of m-adic coordinate systems , 2002 .
[164] Miss A.O. Penney. (b) , 1974, The New Yale Book of Quotations.
[165] From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices , 2004, math/0404128.
[166] Okada,et al. p-adic string N-point function. , 1988, Physical Review Letters.
[167] V. Avetisov,et al. PROTEIN ULTRAMETRICITY AND SPECTRAL DIFFUSION IN DEEPLY FROZEN PROTEINS , 2008 .
[168] A. Khrennikov. Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena , 2004 .
[169] S. Albeverio,et al. p-ADIC MULTIRESOLUTION ANALYSES , 2008, 0810.1147.
[170] Igor Volovich,et al. On the p-adic summability of the anharmonic oscillator , 1988 .
[171] B. M. Fulk. MATH , 1992 .
[172] R. S. Ismagilov. Spectrum of a self-adjoint operator in L2 (K), where K is a local field; Analog of the Feynman-Kac formula , 1991 .
[173] B. Dragovich. p‐Adic and Adelic Cosmology: p‐Adic Origin of Dark Energy and Dark Matter , 2006, hep-th/0602044.