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Convergence of numerical solutions to stochastic age-dependent population equations driven by non-Gaussian noise
stochastic age-dependent population equations compensated Poisson random measure
2010/9/25
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
Deterministic and stochastic aspects of VEGF-A production and the cooperative behavior of tumoral cell colony
Deterministic stochastic aspects VEGF-A production
2011/1/5
A model is proposed to study the process of hypoxia-induced angiogenesis in cancer cells. The model accounts for the role played by the vascular endothelial growth factor (VEGF)-A in regulating the ox...
A Stochastic Markov Model for Coordinated Molecular Motors
Markov Model Coordinated Molecular Motors
2011/1/6
Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments. Molecular motors such as dynein or kinesin are proteins playing a primary role in t...
Rare events and stochastic tunneling in a two-locus system with recombination
Rare events stochastic tunneling two-locus system
2011/1/5
We study the evolution of a population in a two-locus genotype space, in which the negative effects of two single mutations are overcompensated in a high fitness double mutant. We discuss how the inte...
Stochastic quantization of fields inspired by biological evolution
Stochastic quantization biological evolution
2011/1/6
The quasi-species equation describes the evolution of the probability that a random individual in a population carries a given genome. Here we map the quasi-species equation for individuals of a self-...
Stochastic thermodynamics of single enzymes and molecular motors
Stochastic thermodynamics single enzymes molecular motors
2011/1/6
For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of ...
Price decomposition in large-scale stochastic optimal control
Stochastic optimal control Decomposition methods
2011/1/20
We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (D...
We formulate and prove a new criterion for stability of e–processes introduced by A. Lasota and T. Szarek [J. Differential Equations 231 (2006), 513–533]. In particular we prove that that any e–proces...
Time scales in large systems of Brownian particles with stochastic synchronization
\Time scales large systems of Brownian particles stochastic synchronization
2011/1/21
We consider a system x(t) = (x1(t), . . . , xN(t)) consisting of N Brownian parti-cles with synchronizing interaction between them occurring at random time moments { n}1 n=1. Under assumption that the...
Low noise limit for the invariant measure of a multi-dimensional stochastic Allen-Cahn equation
Stochastic reaction-di usion equation Invariant measure Large deviations
2011/1/21
We study the invariant measure of a discretized stochastic Allen-Cahn equation in d+1 dimensions in the low noise limit. We consider a cuboidal domain and impose the two stable
phases as boundary con...
Unique equilibria and substitution effects in a stochastic model of the marriage market
Unique equilibria substitution effects stochastic model marriage market
2011/1/19
Choo-Siow (2006) propose a very general model for the marriage market which allows for randomly identically distributed noise in the preferences of each of the participants. The randomness is McFadden...
Some aspects of the $m$-adic analysis and its applications to $m$-adic stochastic processes
$m$-adic analysis applications to $m$-adic stochastic processes
2011/1/18
In this paper we consider a generalization of analysis on p-adic numbers field to the m case of m-adic numbers ring. The basic statements, theorems and formulas of p-adic analysis can be used for the ...
A stochastic design rainfall generator based on copulas and mass curves
rainfall generator copulas mass curves
2010/12/22
The use of design storms can be very useful in many hydrological and hydraulic practices. In this study, the concept of a copula-based secondary return period in combination with the concept of mass c...
Stochastic incompleteness for graphs and weak Omori-Yau maximum principle
Dirichlet forms, graphs stochastic completeness
2010/12/6
We prove an analogue of the weak Omori-Yaumaximum principle and Khas’minskii’s criterion for graphs in the general setting of Keller and Lenz. Our approach naturally gives the stability of stochastic ...
We present asymptotic and finite-sample results on the use of single-membership stochastic blockmodels for the analysis of network data. We show that the fraction of misclassified network nodes conver...