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Similar to the role of Markov decision processes in reinforcement learning, Markov games (also known as stochastic games) form the basis for the study of multi-agent reinforcement learning and sequenc...
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
We consider a long Lorentz tube with absorbing boundaries. Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equat...
Generalized Nash Equilibrium problem is widely used but hard to solve. In this paper, we transform the generalized Nash game into a special bilevel programming with one leader and multi-followers by s...
In this paper, we use an analytical approach to study the dynamics of the simplest forms of refuge using by prey. Here we incorporate prey refuge in a widely known continuous model|the Lotka-Volterra ...
In this short note, a model describing non-isothermal fast phase separation processes taking place in a three-dimensional bounded domain is considered. The model consists of a viscous Cahn-Hilliard eq...
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
Abstract: Suppose f is a $C^{1+\alpha}$ surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theor...
Abstract: We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and...
We analyze the supports of weighted equilibrium measures in Cn. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible w...
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...

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