An overview of Wavelets and MERA


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_20110035,
            doi = {},
            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}}


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.