8 citations · 8 across the 2 of their papers we have counts for
3 papers
Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials
Ulysses Andrews, Grigory Bonik, Joe P. Chen +2
We study the wave equation on one-dimensional self-similar fractal structures that can be analyzed by the spectral decimation method. We develop efficient numerical approximation t…
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…
A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices
Sirani M. Perera, Grigory Bonik, Vadim Olshevsky
The results on Vandermonde-like matrices were introduced as a generalization of polynomial Vandermonde matrices, and the displacement structure of these matrices was used to derive…