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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Minimal model program for generalized pairs
广义对 最小 模型程序
2023/4/23
Generalized pairs are a natural structure in birational geometry that first appeared in Kodaira’s canonical bundle formula for elliptic fibrations. They were formally introduced by Birkar and Zhang in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamics of a Nutrient-Phytoplankton Model with Random Phytoplankton Mortality
随机浮游植物死亡率 营养-浮游植物 模型动力学
2023/4/28
In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Social-Network-Inspired Breast Cancer Risk Assessment Model
社交网络启发 乳腺癌 风险评估 模型
2023/5/5
The pathogenesis of breast cancer is not the same in all countries and regions; therefore, some existing breast cancer risk assessment models are not well adapted to all countries and regions, includi...
Aging through hierarchical coalescence in the East model
kinetically constrainedmodels non-equilibrium dynamics coalescence metastability
2011/2/25
We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when the initial distribut...
A mathematical model for networks with structures in the mesoscale
mathematical model networks structures
2011/3/2
The new concept of multilevel network is introduced in order to em-body some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classic...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Algebraic arctic curves in the domain-wall six-vertex model
Algebraic arctic domain-wall six-vertex model
2011/1/20
The arctic curve, i.e. the spatial curve separating ordered (or ‘frozen’) and disordered (or ‘temperate) regions, of the six-vertex model with domain wall boundary conditions is discussed for the root...
Uniform constants in Hausdorff-Young inequalities for the Cantor group model of the scattering transform
Uniform constants Hausdorff-Young inequalities Cantor group model scattering transform
2011/1/21
Analogues of Hausdorff-Young inequalities for the Dirac scattering transform (a.k.a. SU(1, 1) nonlinear Fourier transform) were first established by Christ and Kiselev [1],[2]. Later Muscalu, Tao, and...
A Fock Space Model for Addition and Multiplication of C-free Random Variables
free independence c-free independence creation/annihilation operators
2011/2/22
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
Dynamic risk measuring under model uncertainty: taking advantage of the hidden probability measure
Dynamic risk model uncertainty hidden probability measure
2011/2/28
We study dynamic risk measures in a very general framework enabling to model uncertainty and processes with jumps. We previously showed the existence of a canonical equivalence class of probability me...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted Spanning Forests explicit correspondence
2011/2/24
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66]. In this paper, we p...
Well posedness of an isothermal diffusive model for binary mixtures of incompressible fluids
Diffuse interface model Cahn-Hilliard-Navier-Stokes equations
2011/1/20
e consider a model describing the behavior of a mixture of two incompressible fluids with the same density in isothermal conditions. The model consists of three balance equations: continuity equation,...
1+1 Gaudin Model
1+1 Gaudin Model
2011/1/18
We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N)case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic cu...
SUSY Jumps Out of Superspace in the Supersymmetric Standard Model
SUSY Jumps Out Superspace Supersymmetric Standard Model
2011/3/3
The supersymmetric standard model (SSM) appears to be firmly grounded in superspace.For example, it would be natural to assume that all the physically important composite operators can be made by comb...
Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution
massless Bose gas boundary value problem
2011/1/21
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...