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三亚国际数学论坛：Mathematical Model and Computation of Nonlinear Problems
三亚国际数学论坛 Mathematical Model Computation of Nonlinear Problems
2017/11/24
The nonlinear problem is an important and interesting topic in many research fields. For example, the nonlinear optics model can more accurately describe the light propagation at very high intensities...
One-dimensional model of interacting-step fluctuations on vicinal surfaces:Analytical formulas and kinetic Monte Carlo simulations
One-dimensional model interacting-step fluctuations vicinal surfaces Analytical formulas kinetic Monte Carlo simulations
2015/10/16
We study analytically and numerically a one-dimensional model of interacting line defects steps fluctuating on a vicinal crystal. Our goal is to formulate and validate analytical techniques for appr...
Phase-field model for reconstructed stepped surface
Phase-field model reconstructed stepped surface
2015/10/16
We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
A Stochastic Speech Model Supporting W-Disjoint Orthogonality
Stochastic Speech Model W-Disjoint Orthogonality
2015/9/29
In previous work, we have successfully used an ideal joint sparseness assumption:W-Disjoint Orthogonality (WDO). This assumption,that the time-frequency representations of the sources have disjoint su...
GENERALIZED SPARSE SIGNAL MIXING MODEL AND APPLICATION TO NOISY BLIND SOURCE SEPARATION
GENERALIZED SPARSE SIGNAL MIXING MODEL NOISY BLIND SOURCE SEPARATION
2015/9/29
Sparse constraints on signal decompositions are justified bytypical sensor data used in a variety of signal processing fields such as acoustics, medical imaging, or wireless, but moreover can lead to ...
A digital model of coupled oscillators
Coupled oscillators Synchronization Digital oscillator
2015/8/27
A new model of coupled oscillators is proposed and investigated. All phase variables and parameters are integer-valued. The model is shown to exhibit two types of motions, those which involve periodic...
A BOOLEAN ACTION OF C(M,U(1)) WITHOUT A SPATIAL MODEL AND A RE-EXAMINATION OF THE CAMERON–MARTIN THEOREM
A BOOLEAN ACTION WITHOUT A SPATIAL MODEL RE-EXAMINATION CAMERON–MARTIN THEOREM
2015/8/17
We will demonstrate that if M is an uncountable compact metric space, then there is an action of the Polish group of all continuous functions from M to U(1) on a separable probability algebra which pr...
Spherical Asymptotics for the Rotor-Router Model in Zd
Spherical Asymptotics Rotor-Router Model Zd
2015/8/14
The rotor-router model is a deterministic analogue of random walk invented by Jim Propp. It can be used to definea deterministic aggregation model analogous to internal diffusion limited aggregation. ...
The rotor-router model is a deterministic analogue of random walk. It can be used to define a deterministic growth model analogous to internal DLA. We show that the set of occupied sites for this mode...
Oil and water:a two-type internal aggregation model
Oil and water internal aggregation model
2015/8/14
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n “oil” and n “water” particles at the origin, the particles diffuse in Z according to the ...
Existence of pulsating waves in a model of flames in sprays
pulsating waves model of flames in sprays
2015/7/14
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatia...
A SIMPLE MODEL FOR ASSET PRICE BUBBLE FORMATION AND COLLAPSE
ASSET PRICE BUBBLE FORMATION COLLAPSE
2015/7/14
We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomen...
Quasi Monte Carlo Simulation of Stochastic String Model
Quasi Monte Carlo Simulation Stochastic String Model
2015/3/20
Quasi Monte Carlo Simulation of Stochastic String Model.
Criteria for Factorial Designs Under Model Uncertainty
Criteria for Factorial Designs Model Uncertainty
2015/3/20
Criteria for Factorial Designs Under Model Uncertainty.