演講公告

新聞標題：　( 2011-11-21 )

• 演講主題：Zeta Functions for Two-dimensional Shifts of Finite Type

• 主講人：胡文貴 博士 (交通大學應用數學系）

• 演講日期：2011年11月29日(星期二) 下午2:00 –3:00

• 演講地點：(光復校區) 科學一館223室

• 茶會時間：當天下午1:30 (科學一館205室)

• 摘要內容：
  

  This talk discusses zeta functions for two-dimensional shifts of finite type.
  A two-dimensional zeta function which generalizes the Artin-Mazur zeta function was
  given by Lind for actions. We introduce trace operators and reduced trace operators
  to prove that the zeta function is a reciprocal of an infinite product of polynomials.
  The results hold for any skew coordinates, determined by unimodular transformation
  in . Therefore, there exists a family of zeta functions that are meromorphic
  extensions of the same analytic function. The Taylor series expansions at the origin
  for these zeta functions are equal with integer coefficients, yielding a family of identities.
  The methods used herein are also valid for -dimensional cases, , and can be applied
  to thermodynamic zeta functions for the Ising model with finite range interactions.
  

• 相關檔案：演講1001129.doc

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