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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Rational points and homogeneous spaces over function fields of curves
曲线函数场 有理点 齐次空间
2023/4/17
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Conformally invariant fields out of Brownian loop soups
布朗环汤 共形 不变场 布朗分布
2023/4/14
An Inverse Problem for Gibbs Fields with Hard Core Potential
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corre-lation Functions Ursell Functions
2015/9/28
It is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points ...
EXPLICIT CLASS FIELD THEORY FOR GLOBAL FUNCTION FIELDS
EXPLICIT CLASS FIELD THEORY GLOBAL FUNCTION FIELDS
2015/8/26
Let F be a global function field and let F ab be its maximal abelian extension. Following an approach of D. Hayes, we shall construct a continuous homomorphism ρ: Gal(F ab/F) → CF , where CF is the id...
Characteristic Set Algorithms for Equation Solving in Finite Fields and Applications in Cryptanalysis
Characteristic set finite field proper triangular set regular triangular set Boolean function stream cipher
2013/9/9
Efficient characteristic set methods for computing solutions of polynomial equation systems in a finite field are proposed. The concept of proper triangular sets is introduced and an explicit formula ...
Separation by Hyperplanes in Finite-Dimensional Vector Spaces over Archimedean Ordered Fields
archimedean field finite-dimensional vector space convex set s-closed separation support convex function epigraph optimization
2009/1/23
Theorems on the separation of convex sets by hyperplanes are among the basic tools of convex analysis and mathematical programming. The main results of the present paper are new (and in a sense best p...