Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Pechersky, E. A."'
The symmetric birth and death process in the integers $\{1, \ldots, N \}$ with linear rates is studied. The process moves slowly and spends more time in the neighborhood of the state 1. It represents our attempt at explaining the asymmetry between am
Externí odkaz:
http://arxiv.org/abs/2212.01975
In this paper, we propose a stochastic version of the Hawking-Penrose black hole model. We describe the dynamics of the stochastic model as a continuous-time Markov jump process of quanta out and in the black hole. The average of the random process s
Externí odkaz:
http://arxiv.org/abs/1906.08309
We study a class of random processes on $N$ particles which can be interpreted as stochastic model of luminescence. Each particle can stay in one of two states: Excited state or ground state. Any particle at ground state is excited with a constant ra
Externí odkaz:
http://arxiv.org/abs/1810.12384
Motivated by the Einstein classical description of the matter-radiation dynamics we revise a dynamical system producing spikes of the photon emission. Then we study the corresponding stochastic model, which takes into account the randomness of sponta
Externí odkaz:
http://arxiv.org/abs/1803.08962
We consider a system of $N$ identical independent Markov processes, each taking values 0 or 1. The system describes a stochastic dynamics of an ensemble of two-level atoms. The atoms are exposed to a photon flux. Under the photon flux action, every a
Externí odkaz:
http://arxiv.org/abs/1803.08775
Publikováno v:
J. Phys. A: Math. Theor. 50 (2017) 455203
We study the large fluctuations of emitted radiations in the system of $N$ non-interacting two-level atoms. Two methods are used to calculate the probability of the large fluctuations and the time dependence of the excitation and emission. The first
Externí odkaz:
http://arxiv.org/abs/1702.05475
Publikováno v:
In Reports on Mathematical Physics February 2021 87(1):1-14
We propose a class of models of random walks in a random environment where an exact solution can be given for a stationary distribution. The tool is the detailed balance equations.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1410.1460
We suggest a model that describes a mutual dynamic of tectonic plates. The dynamic is a sort of stick-slip one which is modeled by a Markov random process. The process defines a microlevel of the dynamic. A macrolevel is obtained by a scaling limit w
Externí odkaz:
http://arxiv.org/abs/1405.5925
In this paper, the large deviations on trajectory level for ergodic Markov processes are studied. These processes take values in the non-negative quadrant of the two dimension lattice and are concentrated on step-wise functions. The rates of jumps to
Externí odkaz:
http://arxiv.org/abs/1203.4004