4 papers
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…
Approximation by random complex polynomials and rational functions
Simon St-Amant, Jérémie Turcotte
We seek random versions of some classical theorems on complex approximation by polynomials and rational functions, as well as investigate properties of random compact sets in conne…