A5089695677- Advanced Thermodynamics and Statistical Mechanics
- Statistical Mechanics and Entropy
- Quantum, superfluid, helium dynamics
- advanced mathematical theories
- Quantum Mechanics and Applications
- Quantum chaos and dynamical systems
- Spectral Theory in Mathematical Physics
- Fluid Dynamics and Turbulent Flows
- Phase Equilibria and Thermodynamics
- Cold Atom Physics and Bose-Einstein Condensates
- Complex Systems and Time Series Analysis
- Advanced Mathematical Modeling in Engineering
- Differential Equations and Numerical Methods
- Gas Dynamics and Kinetic Theory
- Differential Equations and Boundary Problems
- Nonlinear Waves and Solitons
- Computability, Logic, AI Algorithms
- Theoretical and Computational Physics
- Advanced Topics in Algebra
- Mathematical and Theoretical Analysis
- Stochastic processes and financial applications
- Advanced Mathematical Physics Problems
- Material Science and Thermodynamics
- Heat Transfer Mechanisms
- Stochastic processes and statistical mechanics
Ivanovo State University
2023
Lomonosov Moscow State University
2008-2022
Moscow State University
2006-2022
Baranov Central Institute of Aviation Motor Development
1993-2022
National Research University Higher School of Economics
2012-2021
Institute for Problems in Mechanics
1989-2019
Moscow State Institute of Electronics and Mathematics
1994-2019
Voronezh State University
2019
Moscow Power Engineering Institute
2019
Moscow Aviation Institute
2019
CONTENTSIntroductionChapter I. The Korteweg-de Vries equation with variable coefficients § 1. Basic definitions. A single-phase soliton-form solution of the 2. Construction an asymptotic 3. Conservation lawsChapter II. Kadomtsev-Petviashvili and sine-Gordon coefficientsChapter III. Multi-phase solutions non-linear equations Dirichlet series for constructing expansions general equationsReferences
This paper is devoted to heuristic aspects of the so-called idempotent calculus. There a correspondence between important, useful and interesting constructions results over field real (or complex) numbers similar semirings in spirit N. Bohr's principle Quantum Mechanics. Some problems nonlinear traditional sense (for example, Bellman equation its generalizations) turn out be linear suitable semiring; this linearity considerably simplifies explicit construction solutions. The theory well...
CONTENTSPreface § 1. The connection between geometric quantization and deformations of Poisson brackets the theory pseudodifferential operators (PDO) § 2. calculus PDO's with symbols on general symplectic manifolds § 3. Spectral series nearly integrable Hamiltonians References
This paper deals with some problems related to the relative entropy minimization under linear constraints. We discuss relation between this problem and statistical physics, information theory, financial mathematics. Furthermore, in mathematics we provide explicit form of minimal martingale measure general discrete-time asset price model. also give solution exponential utility maximization
CONTENTS Introduction. Examples of non-standard characteristics. Statement the general problem Chapter I. Characteristics linear equations and with a non-local non-linearity ??1. Pseudodifferential operators symbols characteristics on arbitrary symplectic manifolds. Coordinate-momentum quantification conditions ??2. Electron terms ??3. complex Global asymptotic behaviour ??4. Problems in which there is logarithmic solution. The class tunnel type. instanton as limit. Fourth generalization...