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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-Order Aspects of Coxeter Groups
考克斯特群 一阶方面 非阿贝尔自由群
2023/5/5
Since the work of Sela, and Kharlampovich & Myasnikov on Tarski’s problem for non-abelian free groups, the model theoretic analysis of classes of groups arising from combinatorial and geometric group ...
The threshold-two contact process on a random r-regular graph has a first order phase transition
The threshold-two contact process r-regular graph phase transition
2010/11/12
We consider the discrete time threshold-two contact process on a random $r$-regular graph on $n$ vertices. In this process, a vertex with at least two occupied neighbors at time $t$ will be occupied ...
A Polynomial Time Algorithm to Find Rational General Solutions of First Order Autonomous ODEs
Rational general solution rst order autonomous ODE rational parameterizations Laurent series Pade approximants polynomial time algorithm
2013/9/9
We give a necessary and su±cient condition for an algebraic ODE to have a rational type general solution. For a ˉrst order autonomous ODE F = 0, we give an exact degree bound for its rational solution...