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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent results on multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schroinger equations
多气泡膨胀 多孤子 随机非线性 Schroinger equations
2023/4/13
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Recent results on multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schroinger equations
多气泡膨胀 多孤子 随机非线性 薛定谔方程
2023/4/18
In this talk we review some recent results on the multi-bubble blow-ups and multi-solitons to the focusing stochastic nonlinear Schr鰀inger equations. We will show the corresponding construction and co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An overlapping domain decomposition splitting algorithm for stochastic NLS equation
随机NLS方程 重叠域 分解拆分 非线性薛定谔方程
2023/4/24
In this talk, we will introduce a novel overlapping domain decomposition splitting algorithm based on a Crank--Nisolson method is developed for the stochastic NLS equation driven by a multiplicative n...
A stochastic step flow model with growth in 1+1 dimensions
stochastic step flow model growth 1+1 dimensions
2015/10/16
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...
On Stochastic Error and Computational Efficiency of the Markov Chains Monte Carlo Method
Monte Carlo simulation phase coexistence Gibbs ensemble molecular simulation multi-component system
2012/4/24
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...
Propagation properties of stochastic electromagnetic double-vortex beams in turbulent atmosphere
double-vortex beams coherent polarization turbulent atmosphere
2013/7/3
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 ...
Global Uniqueness for an Inverse Stochastic Hyperbolic Equation with Three Unknowns
Global uniqueness inverse stochastic hyperbolic equation Carleman estimate three unknowns
2011/9/13
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...
Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures
Stochastic treatment finite-N effects mean-field systems lifetimes of coherent structures
2011/8/29
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...
Nonparametric model reconstruction for stochastic differential equation from discretely observed time-series data
Nonparametric model reconstruction stochastic differential equation discretely observed time-series data
2011/8/2
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...
Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics
Pseudo resonance quasi-periodic behavior stochastic threshold dynamics
2011/7/27
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...
Stochastic sigma-convergence and applications
Dynamical system homogenization supralgebras Stokes equations
2011/7/27
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...
Attempt-time Monte Carlo: an alternative for simulation of stochastic jump processes with time-dependent transition rates
Attempt-time Monte Carlo simulation of stochastic jump processes time-dependent transition rates
2010/11/24
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...
Stochastic dynamics for a single vibrational mode in molecular junctions
Stochastic dynamics single vibrational mode molecular junctions
2010/11/24
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...
The Impact of Competing Time Delays in Coupled Stochastic Systems
Stochastic synchronization and coordination Time delays Scaling
2010/11/22
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...