Dynamical Systems Seminar

Title: The triple lattice PETs
Speaker: Ren Yi
Speaker Info: Brown University
Brief Description:
Special Note:

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
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Keith Burns
Contact email: burns@math.northwestern.edu
Contact Phone: 847-491-3013
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