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

2009, Volume 265

| General information | Contents |


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


Collected papers

$p$-Adic Nonorthogonal Wavelet Bases
S. Albeverio, S. Evdokimov, M. Skopina
7
Multidimensional Ultrametric Pseudodifferential Equations
S. Albeverio, S. V. Kozyrev
19
Noncommutative Algebraic Dynamics: Ergodic Theory for Profinite Groups
V. S. Anashin
36
Multifluid Models for Cyclic Cosmology
I. Ya. Aref'eva, P. H. Frampton, S. Matsuzaki
66
On Schnabl Solutions of String Field Equations
I. Ya. Aref'eva, R. V. Gorbachev, M. V. Mal'tsev, P. B. Medvedev
70
Ultrametricity of Fluctuation Dynamic Mobility of Protein Molecules
V. A. Avetisov, A. Kh. Bikulov
82
Noncommutative Classical and Quantum Mechanics for Quadratic Lagrangians (Hamiltonians)
B. Dragovich, Z. Rakić
90
On Dynamical Systems with 2-adic Time
V. Dremov, G. Shabat, P. Vytnova
101
Biorthogonal Wavelets on Vilenkin Groups
Yu. A. Farkov
110
$p$-Adic Brownian Motion over $\mathbb Q_p$
K. Kamizono
125
Gene Expression from 2-adic Dynamical Systems
A. Yu. Khrennikov
142
A Number Theoretical Observation about the Degeneracy of the Genetic Code
A. Yu. Khrennikov, M. Nilsson
151
On a $p$-adic Wave Equation
A. N. Kochubei
154
Hausdorff Dimension and Hierarchical System Dynamics
K. Lukierska-Walasek, K. Topolski
159
On Vertex Parts of $p$-adic Feynman Amplitudes
M. D. Missarov, R. G. Stepanov
165
On the Existence of Generalized Gibbs Measures for the One-Dimensional $p$-adic Countable State Potts Model
F. Mukhamedov
177
Symmetry in Data Mining and Analysis: A Unifying View Based on Hierarchy
F. Murtagh
189
Optimization of Frame Representations for Compressed Sensing and Mercedes-Benz Frame
S. Ya. Novikov, I. S. Ryabtsov
211
Unbounded Transforms and Approximation of Functions over $p$-adic Fields
A. Radyna, Ya. Radyna, Ya. Radyno
220
Feynman Formulas and Path Integrals for Evolution Equations with the Vladimirov Operator
O. G. Smolyanov, N. N. Shamarov
229
Critical Exponents in Fermionic Hierarchical Model
R. G. Stepanov
241
Two-Periodic Dynamics in Finite Extensions of the $p$-adic Number Field
P.-A. Svensson
247
On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields
V. S. Vladimirov
254
On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold
I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich
273
Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
I. V. Volovich, A. S. Trushechkin
288


© Steklov Math. Inst. of RAS, 2025