4 citations · 4 across the 6 of their papers we have counts for
7 papers
Inverse problems for semilinear Schrödinger equations at large frequency via polynomial resolvent estimates on manifolds
Katya Krupchyk, Shiqi Ma, Suman Kumar Sahoo +2
We study inverse boundary problems for semilinear Schrödinger equations on smooth compact Riemannian manifolds of dimensions with smooth boundary, at a large fixed frequenc…
Gaussian beams and inverse problems for connections at high fixed frequency
Simon St-Amant
We consider the inverse problem of recovering a connection on a complex vector bundle over a compact smooth Riemannian manifold with boundary from a Dirichlet-to-Neumann (DN) map a…
Stability estimate for the broken non-abelian X-ray transform in Minkowski space
Simon St-Amant
We study the broken non-abelian X-ray transform in Minkowski space. This transform acts on the space of Hermitian connections on a causal diamond and is known to be injective up to…
Approximation by random complex polynomials and random rational functions
Paul M. Gauthier, Thomas Ransford, Simon St-Amant +1
We investigate random compact sets with random functions defined thereon, such as polynomials, rational functions, the pluricomplex Green function and the Siciak extremal function.…
Asymptotics of sloshing eigenvalues for a triangular prism
Julien Mayrand, Charles Senécal, Simon St-Amant
We consider the three-dimensional sloshing problem on a triangular prism whose angles with the sloshing surface are of the form , where is an integer. We are intere…
Spectral invariants of Dirichlet-to-Neumann operators on surfaces
Jean Lagacé, Simon St-Amant
We obtain a complete asymptotic expansion for the eigenvalues of the Dirichlet-to-Neumann maps associated with Schrödinger operators on compact Riemannian surfaces with boundary. F…