首页   系科介绍   师资队伍   科研团队   本科生教学   研究生培养   招聘信息   联系我们

Previous Next
 
首页 >> 学术报告

Fixation for the Zero-Temperature Ising Spin Dynamics on Different Graphs

Sinziana Datcu(New York University)
Wednesday, December 11, 2.30-4.30pm  Room 153, Geography Building
 
ABSTRACT OF THE TALK

Coarsening models are continuous-time Markov processes whose states are the assignments of +1 or -1 to the vertices of some graph like $Z^d$ (with nearest-neighbor edges) or a homogeneous tree. The transition rules are that at rate one each vertex updates by adjusting to agree with a strict majority of its neighbors or in the event of a tie, tosses a fair coin.

We will review results about the final state of a vertex for coarsening on different latices. While for some lattices the spin of each vertex stops flipping as time converges $\infty$, consensus is not necessarily reached for the whole lattice at $t=\infty$. Consensus is reached on $Z^d$ if the initial configuration is biased enough. We will also discuss results of this type on the homogeneous tree of degree three and in progress results on finite or infinite stacks of homogeneous trees of degree $k, k>3$.

BIOGRAPHY

Sinziana Datcu is a Ph.D. student in mathematics at New York University. Her research interests are Interacting Particle Systems.
   
 
 
快捷链接 >>
 
系内资源 >>
 
教学园地 >>
 
  校外链接 >>    上海市核心数学与基础数学重点实验室    华师大-纽大联合数学中心    上海市数学会    中国数学会    美国数学会    欧洲数学会  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609