2 citations · 8 across the 9 of their papers we have counts for
9 papers
The regularization of Dotsenko--Fateev integrals
Ethan Sussman
We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. Th…
Massive wave propagation near null infinity
Ethan Sussman
We study, fully microlocally, the propagation of massive waves on the octagonal compactification \[\mathbb{O}=[\overline{\mathbb{R}^{1,d}};\mathscr{I};1/2]\] of asymptotically Mink…
The singularities of Selberg- and Dotsenko-Fateev-like integrals
Ethan Sussman
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the 3-point and 4-point functions of BPZ's minimal models of…
A strengthened Orlicz-Pettis theorem via Itô-Nisio
Ethan Sussman
In this note we deduce a strengthening of the Orlicz-Pettis theorem from the Itô-Nisio theorem. The argument shows that given any series in a Banach space which isn't summable (or…
Hydrogen-like Schrödinger Operators at Low Energies
Ethan Sussman
Consider a Schrödinger operator on an asymptotically Euclidean manifold of dimension at least two, and suppose that the potential is of attractive Coulomb-like type. Using Vasy…
Half-waves and spectral Riesz means on the 3-torus
Elliott Fairchild, Ethan Sussman
For a full rank lattice and , consider $N_{d,0;Λ,\mathbf{A}}(Σ) = \# ([Λ+\mathbf{A}] \cap Σ\mathbb{B}^d) = \# \{\mathbf{k}\in Λ…
Long time behavior of the half-wave trace and Weyl remainders
Ethan Sussman
Given a compact Riemannian manifold , Chazarain, Hörmander, Duistermaat, and Guillemin study the half-wave trace …
The microlocal irregularity of Gaussian noise
Ethan Sussman
The study of random Fourier series, linear combinations of trigonometric functions whose coefficients are independent (in our case Gaussian) random variables with polynomially boun…
Rademacher Series for -Quotients
Ethan Sussman
We apply Rademacher's method in order to compute the Fourier coefficients of a large class of -quotients.