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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Gibbons' conjecture and Liouville theorem for master equations
主方程 Gibbons猜想 Liouville定理
2023/11/29
In this talk, we will discuss some of our recent work on the master equation involving the fully fractional heat operator. Specifically, we will present two main results. The first one pertains to a g...
Effective results for unit equations over finitely generated domains
Unit equations finitely generated domains effective finiteness results
2011/9/22
Abstract: Let A be a commutative domain containing Z which is finitely generated as a Z-algebra, and let a,b,c be non-zero elements of A. It follows from work of Siegel, Mahler, Parry and Lang that th...
Translation invariant equations and the method of Sanders
Translation invariant equations the method of Sanders Number Theory Combinatorics
2011/8/26
Abstract: We extend the recent improvement of Roth's theorem on three term arithmetic progressions by Sanders to obtain similar results for the problem of locating non-trivial solutions to translation...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
The system of weight equations for a binary (n, m)-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-z...
Weight Equations for Binary Linear Codes and Their Applications
Weight Equations Binary Linear Codes
2010/3/5
Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.