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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2004, Volume 245

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Selected topics of $p$-adic mathematical physics and analysis


Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov

$p$-Adic Mathematical Physics
V. S. Vladimirov, I. V. Volovich
7
Adelic Formulas for Four-Particle String and Superstring Tree Amplitudes in One-Class Quadratic Fields
V. S. Vladimirov
9
Associative Algebras of $p$-Adic Distributions
S. A. Albeverio, A. Yu. Khrennikov, V. M. Shelkovich
29
$p$-Adic Wavelet Transform and Quantum Physics
M. V. Altaisky
41
Rolling Tachyon on Non-BPS Branes and $p$-Adic Strings
I. Ya. Aref'eva
47
$p$-Adic Models for Ultrametric Diffusion in Conformational Dynamics of Macromolecules
V. A. Avetisov, A. Kh. Bikulov, V. A. Osipov
55
On a String Product in Witten's String Field Theory
D. M. Belov
65
$p$-Adic and Adelic Quantum Mechanics
B. G. Dragovich
72
Shilov Boundary and Topological Divisors of Zero
A. Escassut
86
Noncommutative $p$-Tachyon
D. Ghoshal
91
On the Cauchy Problem for Differential Equations in a Banach Space over the Field of $p$-Adic Numbers
M. L. Gorbachuk, V. I. Gorbachuk
99
Energy Conservation for $p$-Adic and SFT String Equations
L. V. Zhukovskaya
107
Analysis Based on the Dirichlet Space Theory on Some Extensions of $\mathbb Q_p$
H. Kaneko
114
Representation of Cognitive Information by Probability Distributions on the Space of Neural Trajectories
A. Yu. Khrennikov
125
Construction of Interaction Measures on the Space of Distributions over the Field of $p$-Adic Numbers
A. N. Kochubei, M. R. Sait-Ametov
146
$p$-Adic Pseudodifferential Operators: Methods and Applications
S. V. Kozyrev
154
Fuzzy Geometry of Space–Time and Quantum Dynamics
S. N. Mayburov
166
Symmetry of the Renormalization Group in $p$-Adic Models
M. D. Missarov
172
On the Metric Structure of Ultrametric Spaces
S. K. Nechaev, O. A. Vasil'ev
182
$p$-Adic Monomial Dynamical Systems
M. Nilsson
202
The Asymptotic Number of Periodic Points of Discrete $p$-Adic Dynamical Systems
M. Nilsson, R. Nyqvist
210
Poisson Algebra Homomorphisms and Poisson Brackets
Chun-Gil Park
218
Distributions and Mnemofunctions on Adeles. Fourier Transform
E. M. Radyno, Ya. V. Radyno
228
Generalization of the Spectral Theorem to the Case of Families of Noncommuting Operators and a Linear Programming Problem
R. A. Roshchin
241
An Approach to the Ultrametric Moment Problem
W. H. Schikhof
251
$p$-Adic Entropies of Logistic Maps
G. B. Shabat
257
Perturbed Dynamical Systems in $\mathfrak p$-Adic Fields
P.-A. Svensson
264
Arithmetic Quantum Physics: Why, What, and Whither
V. S. Varadarajan
273
Modeling Theory and Hypergraph of Classes
I. V. Volovich, M. N. Khokhlova
281
Renormalization in Quantum Electrodynamics and Hopf Algebras
I. V. Volovich, D. V. Prokhorenko
288
Some Properties of Dynamical Equations in $p$-Adic String and SFT Models
Ya. I. Volovich
296


© Steklov Math. Inst. of RAS, 2025