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We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
We prove some generalizations and analogies of Harnack inequalities for pluriharmonic, holomorphic and "almost holomorphic" functions. The results are applied to the proving of smoothness properties o...
The existence and uniqueness for solution of backward doubly stochastic differential equations with Brownian motions and Poisson process and that of forward-backward doubly stochastic differential equ...
Abstract: In this paper, we studied the functional ergodic limits of the site-dependent branching Brownian motions in R. The results show that the limiting processes are non-degenerate if and only if ...
Abstract: We use a Stochastic Differential Equation satisfied by Brownian motion taking values in the unit sphere $S_{n-1}\subset\mathbb{R}^{n}$ and we obtain a Central Limit Theorem for a sequence of...
Изучаются особые периодические движения (критические точки ранга 1 интегрально- го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37, 2007) в интегрируемой задаче о дви...
Изучаются особые периодические движения (критические точки ранга 1 интегрально- го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37, 2007) в интегрируемой задаче о дви...
Nonlinear time series analysis aims at understanding the dynamics of stochastic or chaotic processes.In recent years, quite a few methods have been proposed to transform a single time series to a comp...
Consider a metric graph G with set of vertices V . Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G s...
Pathwise constructions of Brownian motions which satisfy all possible boundary conditions at the vertex of single vertex graphs are given.
Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller’s theorem for metric graphs.
A configuration p in r-dimensional Euclidean space is a finite collection of points (p1, . . . , pn) that affinely span Rr. A bar framework, denoted by G(p), in Rr is a simple graph G on n vertices to...
We study a model of n one-dimensional non-intersecting Brownian motions with two prescribed starting points at time t = 0 and two prescribed ending points at time t = 1 in a critical regime where the ...
We obtain the convergence in law of a sequence of excited (also called cookies) random walks toward an excited Brownian motion. This last process is a continuous semi-martingale whose drift is a funct...
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing antiplane shear motions in nonlocal elasticity.

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