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Boltzmann 方程是统计物理中的基本方程，被用来描述稀薄气体的运动规律。Boltzmann方程到可压缩Euler方程的流体动力学极限的研究最早可追溯到Maxwell和Boltzmann，是著名的Hilbert第六问题的主要内容之一。 Hilbert于1912年提出了Boltzmann方程的Hilbert展开，从形式上说明了Boltzmann方程的一阶近似是可压缩Euler方程。此后，从数学上...
本文设Aα2为定义在n维复空间单位多圆柱上的加权Bergman空间，l为Bergman空间上有界复合算子的全体并赋予算子范数拓扑，应用复合算子的Hilbert-Schmidt差分研究l的拓扑连通性.
Completitud y continuidad en Fundamentos de la geometría de Hilbert:acerca del Vollständigkeitsaxiom (Completeness and Continuity in Hilbert’s Foundations of Geometry:on the Vollstandigkeitsaxiom)
Hilbert geometría euclídea axioma de completitud axiomas de continuidad metodo axiomático filosofía de la geometría Euclidean geometry axiom of completeness continuity axioms axiomatic method philosophy of geometry
2016/6/13
El artículo documenta y analiza las vicisitudes en torno a la incorporación de Hilbert de su famoso axioma de completitud, en el sistema axiomático para la geometría euclídea. Esta tarea es emprendida...
Fractional diffusion limit for collisional kinetic equations:a Hilbert expansion approach
Fractional diffusion limit collisional kinetic equations Hilbert expansion
2015/10/15
We develop a Hilbert expansion approach for the derivation of fractional diffusion equations from the linear Boltzmann equation with heavy tail equilibria.
THE GEOMETRIC THETA CORRESPONDENCE FOR HILBERT MODULAR SURFACES
GEOMETRIC THETA CORRESPONDENCE；HILBERT MODULAR SURFACES
2015/10/14
In a series of papers [11, 12, 13, 14] we have been studying the geometric theta correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to orthogonal groups. It...
沉积旋回是指沉积作用和沉积条件按相同的次序不断重复沉积而组成的一个层序，对地层层序的划分关键是正确划分沉积旋回。利用Hilbert-Huang变换（HHT）对测井曲线进行处理，然后划分沉积旋回，是较常用的一种方法，其对井点处的沉积旋回划分较准确，但在无井之处的沉积旋回划分受到了限制。为此，尝试将地震信号进行经验模态分解后，将其结果用于沉积旋回划分。通过分析正旋回、反旋回、正反旋回以及反正旋回等四种...
HILBERT’S IRREDUCIBILITY THEOREM AND THE LARGER SIEVE
HILBERT IRREDUCIBILITY THEOREM LARGER SIEVE
2015/8/26
We describe an explicit version of Hilbert’s irreducibility theorem using a generalization of Gallagher’s larger sieve. We give applications to the Galois theory of random polynomials, and to the imag...
A theory of concepts and their combinations II: A Hilbert space representation
concept combination conjunction context entanglement exemplar Hilbert space mathematical model prototype potentiality quantum representation state structure
2015/8/3
The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogona...
Hilbert’s Foundation of Physics:From a Theory of Everything to a Constituent of General Relativity
Hilbert’s Foundation of Physics General Relativity
2015/3/27
Hilbert’s Foundation of Physics:From a Theory of Everything to a Constituent of General Relativity.
Euler Characteristics of Tautological Sheaves on Hilbert Schemes of Points
Euler Characteristics Tautological Sheaveas Hilbert Schemes of Points
2015/3/24
Professor Chern recruited geometers, physicists and combinatorists to work at Nankai Institute of Mathematics (now Chern Institute of Mathematics).
Bayesian Estimating Equation Based on Hilbert Space Method
Bayesian Estimating Equation Hilbert Space Method
2015/3/20
Bayesian Estimating Equation Based on Hilbert Space Method.
Bayesian Estimating Equation Based on Hilbert Space
Bayesian inference Hilbert space method
2015/3/18
This paper introduces and investigates the validity of Bayesian estimating equation derived from the Hilbert space method. A validity for Hilbertbased Bayesian estimating function is established via t...
Let F be a real quadratic field with ring of integers O and with class number 1. Let Γ be a congruence subgroup of GL2 (O)GL2() . We describe a technique to compute the action of the Hecke operators o...
The Discontinuous Riemann-Hilbert problem for analytic functions in multiply connected domains
Discontinuous Riemann-Hilbert problems analytic functions A priori estimates and existence of solutions
2014/9/26
In [2], the authors introduce the Keldych-Sedov formula for analytic
functions in the upper half-plane, namely the representation of solutions of the mixed
boundary value problem for analytic functi...