62 citations · 119 across the 16 of their papers we have counts for
24 papers
Fourier Transform-Based Computation of Two-Electron Four-Center Coulomb Repulsion Integrals
William Chen, Lior Silberman, Ury Segal +1
We present a Fourier-based method for evaluating two-electron four-center Coulomb repulsion integrals over Slater-type orbitals. Spherical Fourier-Bessel coefficients of the convol…
The High Cost of Data Augmentation for Learning Equivariant Models
Henri Klintebäck, Christoph Ortner, Lior Silberman
According to Noether's theorem the presence of a continuous symmetry in a Hamiltonian systems is equivalent to the existence of a conserved quantity, yet these symmetries are not a…
Homogeneity of arithmetic quantum limits for hyperbolic -manifolds
Zvi Shem-Tov, Lior Silberman
We work toward the arithmetic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on hyperbolic -manifolds. We show that limits of such forms can onl…
A General Framework for Equivariant Neural Networks on Reductive Lie Groups
Ilyes Batatia, Mario Geiger, Jose Munoz +3
Reductive Lie Groups, such as the orthogonal groups, the Lorentz group, or the unitary groups, play essential roles across scientific fields as diverse as high energy physics, quan…
Arithmetic quantum unique ergodicity for products of hyperbolic - and -spaces
Zvi Shem-Tov, Lior Silberman
We prove the arithemtic quantum unique ergodicity (AQUE) conjecture for sequences of Hecke--Maass forms on quotients .…
The topology of Baumslag-Solitar representations
Maxime Bergeron, Lior Silberman
Let be a Baumslag--Solitar group and be a complex reductive algebraic group with maximal compact subgroup . We show that, w…