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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Positivity and model complete fields
正性 模型完备域 有理数域
2023/11/13
In recent work with Will Johnson, we have shown that given a curve C over the rational number field Q with genus at least 2 and C(Q) is empty, the class of fields K of characteristic 0 such that C(K) ...
Boundary Effects in Confined Copolymer System and Compressible SCFT Model
Compressible Model Boundary Layer Boundary Effect
2015/5/4
The conventionally used Modified Self-consistent Field Theory (MSCFT) for confined system is known to have two major difficulties: numerical instability and too many artificial constrains. Here we pro...
A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...
A Coder-Decoder model for use in Lossless Data Compression
A Coder-Decoder model Data Compression
2010/11/24
This article describes a technique of using a trigonometric function and combinatorial calculations to code or transform any finite sequence of binary numbers (0s and 1s) of any length to a unique set...
A numerical stability investigation of strong ZND detonations for Majda's model
numerical stability investigation ZND Majda's model
2010/11/12
We carry out a systematic numerical stability analysis of ZND detonations of Majda's model with Arrhenius-type ignition function, a simplified model for reacting flow, as heat release and activation ...
An analytical model for evaluating outage and handover probability of cellular wireless networks
analytical model for evaluating outage handover probability of cellular wireless networks
2010/11/26
We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the
best mean signal power...