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三亚国际数学论坛：PDE Models and Nonlinear Waves in Fluids and Plasmas
三亚国际数学论坛 PDE Models and Nonlinear Waves in Fluids and Plasmas
2017/7/3
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
This is an advanced course. Participants should have seen at least one semester of statistics at university or college. Additionally, we will use the statistical package R for most of the practicals, ...
We study theoretical aspects of step fluctuations on vicinal surfaces by adding conservative white noise to the Burton-Cabrera-Frank model in one spatial dimension. We consider material deposition fro...
EXISTENCE AND ASYMPTOTICS OF FRONTS IN NON LOCAL COMBUSTION MODELS
EXISTENCE ASYMPTOTICS NON LOCAL COMBUSTION MODELS
2015/10/15
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
Convolutive Demixing with Sparse Discrete Prior Models for Markov Sources
Convolutive Demixing Sparse Discrete Prior Models Markov Sources
2015/9/29
In this paper we present a new source separation method based on dynamic sparse source signal models. Source signals are modeled in frequency domain as a product of a Bernoulli selection variable with...
SOURCE SEPARATION USING SPARSE DISCRETE PRIOR MODELS
SOURCE SEPARATION SPARSE DISCRETE PRIOR MODELS
2015/9/29
In this paper we present a new source separation method based on dynamic sparse source signal models. Source signals are modeled in frequency domain as a product of a Bernoulli selection variablewith ...
Scaling Limits for Internal Aggregation Models with Multiple Sources
Scaling Limits Internal Aggregation Models Multiple Sources
2015/8/14
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
We study the scaling limits of three different aggregation models on Zd: internal DLA, in which particles perform random walks until reaching an unoccupied site; the rotor-router model, in which parti...
The Existence of MLE in Location and Dispersion Effects Models with Censored Data
MLE in Location and Dispersion Effects Models Censored Data
2015/3/20
The Existence of MLE in Location and Dispersion Effects Models with Censored Data.
Exact D-optimal designs for response surface models on a circle
Exact D-optimal designs for response surface models on a circle
2015/3/20
Exact D-optimal designs for response surface models on a circle.
Locally D-optimal Designs Based on a Class of Models Combining an Emax and One-compartment Models
Locally D-optimal Designs Models Combining Emax and One-compartment Models
2015/3/20
Locally D-optimal Designs Based on a Class of Models Combining an Emax and One-compartment Models.
3D integrable lattice models and the Bazhanov-Stroganov model
3D integrable lattice models Bazhanov-Stroganov model
2015/3/19
Many 2D integrable lattice spin models known: Ising, XXZ, RSOS, etc.Systematic construction of solutions of Y-B equations: quantum groups.Not many integrable 3D models: almost all generalizations of Z...
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
Mathematical Models of Basal Ganglia Dynamics
Basal Ganglia Bistability delayed feedback deep brain stimulation Dopaminergic neuron Parkinson's disease Tremor
2015/1/19
Physical and biological phenomena that involve oscillations on multiple time scales attract attention of mathematicians because resulting equations include a small parameter that allows for decomposin...
Nonconstant predator harvesting on ratio-dependent predator-prey models
Predator-prey models harvesting dynamical systems
2010/9/21
The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed ...