Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Kondratiev, Yuri G."'
Autor:
da Silva, José L., Kondratiev, Yuri G.
We study the asymptotic behavior of random time changes of dynamical systems. As random time changes we propose three classes which exhibits different patterns of asymptotic decays. The subordination principle may be applied to study the asymptotic b
Externí odkaz:
http://arxiv.org/abs/2102.13587
Autor:
Kondratiev, Yuri G., da Silva, José L.
Publikováno v:
Methods Funct. Anal. Topology, 26(3), 2020, 241-248
In this paper we study Green measures of certain classes of Markov processes. In particular Brownian motion and processes with jump generators with different tails. The Green measures are represented as a sum of a singular and a regular part given in
Externí odkaz:
http://arxiv.org/abs/2006.07514
Publikováno v:
This paper is now published (in revised form) in Fract. Calc. Appl. Anal. Vol. 24, No 1 (2021), pp. 73-87
We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and other Markov processes. We consider both stable subordinators leading to e
Externí odkaz:
http://arxiv.org/abs/1902.05039
We show how to approximate a solution of the first order linear evolution equation, together with its possible analytic continuation, using a solution of the time-fractional equation of order $\delta >1$, where $\delta \to 1+0$.
Externí odkaz:
http://arxiv.org/abs/1504.04840
Let $\mathbb K(\mathbb R^d)$ denote the cone of discrete Radon measures on $\mathbb R^d$. There is a natural differentiation on $\mathbb K(\mathbb R^d)$: for a differentiable function $F:\mathbb K(\mathbb R^d)\to\mathbb R$, one defines its gradient $
Externí odkaz:
http://arxiv.org/abs/1503.04166
We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolution equation for the statistical dynamics. This leads to a behavior o
Externí odkaz:
http://arxiv.org/abs/1412.0205
Publikováno v:
Methods Funct. Anal. Topology 18 (1) (2012), 55--67
We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution.
Externí odkaz:
http://arxiv.org/abs/1107.4450
Publikováno v:
Rep. Math. Phys. 71 (1)(2013), 123--148
General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution equations for quasi-observables and correlation functions. We also prese
Externí odkaz:
http://arxiv.org/abs/1106.4946
Publikováno v:
Complex Anal. Oper. Theory 6 (4) (2012), 923--945
We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solu
Externí odkaz:
http://arxiv.org/abs/1105.2721
Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pairs of particles simultaneously hop over $R^d$. In this paper, we stu
Externí odkaz:
http://arxiv.org/abs/1101.4765