Title: The triple lattice PETs
Speaker: Ren Yi
Speaker Info: Brown University
Brief Description:
Special Note:
Abstract:
Polytope exchange transformations (PETs) are higher dimensional generalizations of interval exchange transformations (IETs) which have been well-studied for more than 40 years. A general method of constructing PETs based on multigraphs was described by R. Schwartz in 2013. The triple lattice PETs are examples of multigraph PETs. In this talk, I will show that there exists a renormalization scheme of the triple lattice PETs in the interval (0,1). I will discuss the properties of the limit set with respect to the golden ratio. Pictures and computer simulations will be presented in the talk.Date: Tuesday, January 17, 2017