2 citations · 4 across the 5 of their papers we have counts for
5 papers
Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent
Luc Hillairet, Helen Jenne, Kilian Raschel
In the field of enumeration of walks in cones, it is known how to compute asymptotically the number of excursions (finite paths in the cone with fixed length, starting and ending p…
Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
Laura Abatangelo, Veronica Felli, Luc Hillairet +1
We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenva…
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
G. Austin Ford, Andrew Hassell, Luc Hillairet
We investigate the singularities of the trace of the half-wave group, , on Euclidean surfaces with conical singularities . We compute the leadi…
Moduli spaces of meromorphic functions and determinant of Laplacian
Luc Hillairet, Victor Kalvin, Alexey Kokotov
The Hurwitz space is the moduli space of pairs where is a compact Riemann surface and is a meromorphic function on . We study the Laplace operator o…
Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior
O. Bénichou, D. S. Grebenkov, L. Hillairet +3
We consider a model of surface-mediated diffusion with alternating phases of pure bulk and surface diffusion. For this process, we compute the mean exit time from a disk through a…