Research Highlights
Congratulations to Dr. Chandramouli and Mr. Rohit for the acceptance of their research article in Journal of Statistical Physics.
Title: Renormalization of Symmetric Bimodal maps with low smoothness
Authors: Rohit Kumar and V.V.M.S. Chandramouli
Journal: Journal of Statistical Physics
Volume: 183
Year: 2021
Publisher: Springer
Abstract: This paper deals with the renormalization of symmetric bimodal maps with low smoothness. We prove the existence of the renormalization fixed point in the space $C^{1+Lip}$ symmetric bimodal maps. Moreover, we show that the topological entropy of the renormalization operator defined on the space of $C^{1+Lip}$ symmetric bimodal maps is infinite. Further we prove the existence of a continuum of fixed points of renormalization. Consequently, this proves the non-rigidity of the renormalization of symmetric bimodal maps.
