Tensor renormalization group (TRG) is an algorithm introduced by Levin and Nave to implement a Migdal-Kadanoff-like iterative coarse-graining scheme for lattice partition sums. It proved remarkably accurate for the 2D Ising models and stimulated considerable further work to understand and improve the technical aspects of the algorithm leading to qualitative improvements in the method.
In this talk I will review (i) the early block spin transformation idea and its TRG implementation; (ii) analyticity constraints on global phase diagrams, including recent results in anisotropic lattices; (iii) and explain the application of these results to realizing temporally ordered dynamic phases in quantum (discrete time) evolution with measurements.

ref:
https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.013018