Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021

Долгопрудный, МФТИ, 2021.

This conference is the continuation of the conference MPDSIDA-2019.

The Conference is devoted to the search of common problems, aims and investigation methods in differential equations and operator theory, topological and differential dynamics of systems with continuous and discrete time, ergodic theory, measure theory, random processes theory and quantum mechanics. The aim of this conference is to present and discuss the contemporary results in PDE, dynamical systems, infinite dimensional analysis and their applications to quantum theory, statistical mechanics and other fields of mathematical physics.

In the framework of the conference the following sections will be organized.

 

 

 

 

1. Mathematical Physics (mathematical aspects of classical, quantum and statistical mechanics, quantum chaos, qualitative theory of PDE, geometric measure theory, gravitation theory, quantum biology, random operators and random graphs);
2. Dynamical Systems (topological and differential dynamics of finite-dimensional and infinite- dimensional systems, ergodic theory, Hamiltonian systems, random processes, chaos, applications of dynamical systems theory to the problems of mathematical physics and infinite dimension analysis);
3. Infinite-Dimensional Analysis (functional integrals and Feynman integrals: its application to quantum dynamics and statistical mechanics; abstract theory of measure and integral, convex and multivalued analysis, quantum structures of functional analysis and noncommutative integration; quantum information theory).

 

Chapters

Monotonicity Criterion of Topological Entropy and Kneading Invariants for Lorenz Families

Малкин М. И., Safonov K., , in: Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021.: Долгопрудный, МФТИ, 2021. P. 156–158.

Added: November 2, 2021

Keywords: complex systems