PIRSA:20110035 Conference Quantum Fields and Strings

DOI10.48660/20110035

Conference/School: Tensor Networks: from Simulations to Holography III

Evenbly, G. (2020). An overview of Wavelets and MERA. Perimeter Institute. https://pirsa.org/20110035

Evenbly, Glen. An overview of Wavelets and MERA. Perimeter Institute, Nov. 20, 2020, https://pirsa.org/20110035 

@misc{ pirsa_PIRSA:20110035,
  doi = {10.48660/20110035},
  url = {https://pirsa.org/20110035},
  author = {Evenbly, Glen},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {An overview of Wavelets and MERA},
  publisher = {Perimeter Institute},
  year = {2020},
  month = {nov},
  note = {PIRSA:20110035 see, \url{https://pirsa.org}}
}

Abstract

The use of wavelet-based constructions has led to significant progress in the analytic understanding of holographic tensor networks, such as the multi-scale entanglement renormalization ansatz (MERA). In this talk I will give an overview of the (past and more recently established) connections between wavelets and MERA, and the discuss the important results that have followed. I will also discuss work currently underway that exploits the wavelet-MERA connection in order to produce new families of wavelets that are optimal for certain tasks, such as image compression.

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