1 citations · 1 across the 3 of their papers we have counts for
3 papers
Dirichlet metric measure spaces: spectrum, irreducibility, and small deviations
Marco Carfagnini, Maria Gordina, Alexander Teplyaev
We show that for ultracontractive irreducible Dirichlet metric measure spaces, the Dirichlet spectrum is discrete for a restriction to any connected open set without any assumption…
Quantitative approach to Grover's quantum walk on graphs
Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou +1
In this paper, we study Grover's search algorithm focusing on continuous-time quantum walk on graphs. We propose an alternative optimization approach to Grover's algorithm on graph…
Heat kernels on 2d Liouville quantum gravity: a numerical study
Grigory Bonik, Joe P. Chen, Alexander Teplyaev
We numerically compute the heat kernel on a square lattice torus equipped with the measure corresponding to Liouville quantum gravity (LQG). From the on-diagonal heat kernel we ver…