output
19962026
most citedDeterminantal point process models and statistical inference : Extended version

238 citations

Showing 2014 · math.SPShow all

5 papers · 2 filters

math.SP2014★ 6 cited

Nodal domains in the square---the Neumann case

Bernard Helffer, Mikael Persson Sundqvist

Å Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant sharp situation) can only be true fo…

math.SP2014★ 5 cited

On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --

Pierre Bérard, Bernard Helffer

In the case of the sphere and the square, Antonie Stern (1925) claimed in her PhD thesis the existence of an infinite sequence of eigenvalues whose corresponding eigenspaces contai…

math.SP2014★ 18 cited

Tunneling between corners for Robin Laplacians

Bernard Helffer, Konstantin Pankrashkin

We study the Robin Laplacian in a domain with two corners of the same opening, and we calculate the asymptotics of the two lowest eigenvalues as the distance between the corners in…

math.SP2014★ 9 cited

Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential

Xue Ping Wang

In this work, we use scattering method to study the Kramers-Fokker-Planck equation with a potential whose gradient tends to zero at the infinity. For short-range potentials in dime…

math.SP2014

Asymptotics of the number of the interior transmission eigenvalues

Vesselin Petkov, Georgi Vodev

We prove a Weyl asymptotics , , for the counting function $N(r) = \sharp\{λ_j \in {\mathbb C} \setminus \{0\}:\: |…