Department of Mathematics

Student Geometry/Topology

  •  Hitesh Gakhar
  •  Sliding window embeddings
  •  03/13/2019
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall

Classically, Sliding Window Embeddings were used in the study of dynamical systems to reconstruct topology of underlying attractors from generic observation functions. In 2015, Perea and Harer studied persistent homology of sliding window embeddings from L^2 periodic functions. We define a quasiperiodic function as a superposition of periodic functions with incommensurate frequencies. As it turns out, sliding window embeddings of quasiperiodic functions are dense in high dimensional tori. In this talk, I will present some results for the quasiperiodic case.



Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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