57 citations · 392 across the 32 of their papers we have counts for
32 papers
Tensor Renormalization Group at Low Temperatures: Discontinuity Fixed Point
Tom Kennedy, Slava Rychkov
We continue our study of rigorous renormalization group (RG) maps for tensor networks that was begun in arXiv:2107.11464. In this paper we construct a rigorous RG map for 2D tensor…
Tensor RG approach to high-temperature fixed point
Tom Kennedy, Slava Rychkov
We study a renormalization group (RG) map for tensor networks that include two-dimensional lattice spin systems such as the Ising model. Numerical studies of such RG maps have been…
Absence of renormalization group pathologies in some critical Dyson-Ising ferromagnets
Tom Kennedy
The Dyson-Ising ferromagnet is a one-dimensional Ising model with a power law interaction. When the power is between -1 and -2, the model has a phase transition. Van Enter and Le N…
Conformal invariance of the loop-erased percolation explorer
Tom Kennedy
We consider critical percolation on the triangular lattice in a bounded simply connected domain with boundary conditions that force an interface between two prescribed boundary poi…
A non-intersecting random walk on the Manhattan lattice and SLE_6
Tom Kennedy
We consider a random walk on the Manhattan lattice. The walker must follow the orientations of the bonds in this lattice, and the walker is not allowed to visit a site more than on…
The first order correction to the exit distribution for some random walks
Tom Kennedy
We study three different random walk models on several two-dimensional lattices by Monte Carlo simulations. One is the usual nearest neighbor random walk. Another is the nearest ne…