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Mathematical implications of adding Gaussian white noise to the Burton– Cabrera–Frank model for N terraces (‘gaps’) on a crystal surface are studied under external material deposition for large N. The...
In Monte Carlo simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. As the stochastic error of the simula...
Based on the extended Huygens–Fresnel principle, we study the propagation properties of stochastic electro-magnetic double-vortex beams in turbulent atmosphere. The result shows that the spreading of ...
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...
Abstract: A stochastic treatment yielding to the derivation of a general Fokker-Planck equation is presented to model the slow convergence towards equilibrium of mean-field systems due to finite-N eff...
Abstract: We develop a scheme for estimating state-dependent drift and diffusion coefficients in a stochastic differential equation from a time-series data. There is no need to have any prior knowledg...
Abstract: Here we present a simple stochastic threshold model consisting of a deterministic slowly decaying term and a fast stochastic noise term. The process shows a pseudo-resonance, in the sense th...
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...
cWe present a new method for simulating Markovian jump processes with time-dependent tran- sitions rates, which avoids the transformation of random numbers by inverting time integrals over the rates....
The phenomenon of stochastic resonance (SR) is known to occur mostly in bistable systems. However, the question of occurrence of SR in periodic potential systems is not conclusively resolved.Our pres...
We propose a very accurate computational scheme for the dynamics of a classical oscillator coupledto a molecular junction driven by a finite bias, including the finite mass effect. We focus o n two mi...
We study the impact of competing time delays in coupled stochastic syn-chronization and coordination problems. We consider two types of delays:transmission delays between interacting elements and proc...
Multistability of mesoscopic, driven biochemical reaction systems has implications to a wide range of cellular processes. Using several simple models, we show that one class of bistable chemical syste...
There are many different mathematical setups to model the dynamics of gene regulatory networks (GRNs),most based on Boolean networks or chemical kinetics ideas. Here we present an approach to model GR...
Stochastic Structural Stability Theory (SSST) provides an autonomous, deterministic, nonlinear dynamical system for evolving the statistical mean state of a turbulent system. In this work SSST is appl...

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