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Global Minimizers for Free Energies of Subcritical Aggregation Equations with Degenerate Diffusion
Global Minimizers Free Energies of Subcritical Aggregation Equations Degenerate Diffusion
2010/12/14
We prove the existence of non-trivial global minimizers of a class of free energies related to aggregation equations with degenerate diffusion on Rd. Such equations arise in mathematical biology as mo...
Discretized configurations and partial partitions
Discretized configurations partial partitions
2010/12/7
We show that the discretized configuration space of k points in the n-simplex is homotopy equivalent to a wedge of spheres of dimen-sion n−k +1. This space is homeomorphic to the order complex o...
Discrete Complex Analysis and Probability
Discrete complex analysis discrete analytic function Ising model
2010/12/15
We discuss possible discretizations of complex analysis and some of their applications to probability and mathematical physics, following our recent work with Dmitry Chelkak, Hugo Duminil-Copin and Cl...
Asymptotics of eigenvalues of high-order differential operator with discrete self-similar weight
eigenvalues of high-order differential operator discrete self-similar weight
2010/12/14
Аннотация. В статье изучается вопрос об асимптотике спектра граничной задачи (−1)n y(2n) − y = 0,y(k)(0) = y(k)(1) = 0, 0 6 k < n,в случае, когда порядок 2n уравнения удовлетворяет нерав...
Star products with separation of variables admitting a smooth extension
deformation quantization with separation of variables
2011/2/28
Given a complex manifold M with an open dense subset endowed with a pseudo-K¨ahler form ! which cannot be smoothly extended to a larger open subset.
Asymptotic error distribution for approximation of a stochastic integral with respect to continuous semimartingale by Riemann sum with general stochastic partition is studied. Effective discretization...
We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in ord...
在数字电路中, 两个时间信号通过逻辑电路的与门相当于极大运算, 通过逻辑电路的或门相当于极小运算. 极小—极大—加系统可用于数字电路的时间分析. 对于一类非线性极小—极大—加系统(F, G, H), 运用极大—加代数和有向图方法得到了在输出反馈作用下的周期时间能独立配置的一个充分条件.
针对某种三维变系数二阶椭圆方程，利用三维投影型插值算子和插值逼近性质获得了长方体剖分下三二次长方体有限元的弱估计，进而结合三维离散Green函数获得了高精度逐点意义下三二次长方体有限元位移及梯度最大模的超逼近.
Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
Bä cklund Transformations trigonometric Gaudin model integrable time-discretizations
2010/4/2
We construct a two-parameter family of B\"acklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.Kuznetsov (1998,199...
Integrable discretizations for the short wave model of the Camassa-Holm equation
Integrable discretizations short wave Camassa-Holm equation
2010/4/2
The link between the short wave model of the Camassa-Holm equation (SCHE) and bilinear equations of the two-dimensional Toda lattice (2DTL) is clarified. The parametric form of N-cuspon solution of th...
The Nikolaevskiy equation was originally proposed as a model for seismic waves and is also a model for a wide variety of systems incorporating a neutral, Goldstone mode, including electroconvection an...
We discuss a curvature theorem for subgraphs of the flat triangular tessellations of the plane. These graphs play the analogue of ”domains” in two dimensional Euclidean space. We show that the Pusieux...
On the dispersionless Kadomtsev-Petviashvili equation in n+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking
Kadomtsev-Petviashvili equation wave breaking n+1 dimensions
2010/4/1
We study the (n+1)-dimensional generalization of the dispersionless Kadomtsev-Petviashvili (dKP) equation, a universal equation describing the propagation of weakly nonlinear, quasi one dimensional wa...