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7 papers
Sharpness of proper and cocompact actions on reductive homogeneous spaces
Fanny Kassel, Nicolas Tholozan
We prove that if is any noncompact connected real reductive linear Lie group, and any discrete subgroup of acting properly discontinuously and cocompactly on some homo…
Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature
Charlie Dworaczek Guera, Ronan Memin
We consider a model of a gas of confined particles subject to a two-body repulsive interaction, namely the one-dimensional log or Riesz gas. We are interested in the so-called…
The Wu relations in real algebraic geometry
Olivier Benoist, Olivier Wittenberg
We construct and study relations between Chern classes and Galois cohomology classes in the Gal(C/R)-equivariant cohomology of real algebraic varieties with no real points. We give…
Small-time local control of a Schrödinger equation: a negative and a positive quadratic result
Karine Beauchard, Frédéric Marbach, Thomas Perrin
We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case whe…
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David GarcÃa-Zelada, Yuan Yuan Xu
Girko matrices have independent and identically distributed entries of mean zero and unit variance. In this note, we consider the random matrix model formed by the ratio of two ind…
Harmonic functions on Tutte embeddings and linearized Monge-Ampère equation
Mikhail Basok, Dmitry Chelkak, Benoît Laslier +1
We prove convergence of solutions of Dirichlet problems and Green's functions on Tutte harmonic embeddings to those of the linearized Monge--Ampère equation . M…