G. Valette

activity

20082024

D

expansion of Hermitian multi-matrix models

13 citations · 50 across the 20 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AP2021★ 1 cited

On Sobolev spaces of bounded subanalytic manifolds

Guillaume Valette

We focus on the Sobolev spaces of bounded subanalytic submanifolds of $R^{n}$ . We prove that if $M$ is such a manifold then the space $C_{0}^{\infty} (M)$ is dense in $…

math.AP2021

Uniform Poincaré inequality in o-minimal structures

Anna Valette, Guillaume Valette

We first define the trace on a domain $Ω$ which is definable in an o-minimal structure. We then show that every function $u \in W^{1, p} (Ω)$ vanishing on the boundary in the trace se…

math.LO2021

Regular vectors and bi-Lipschitz trivial stratifications in o-minimal structures

Guillaume Valette

These notes focus on the Lipschitz geometry of sets that are definable in o-minimal structures (expanding the real field). We show that every set which is definable in a polynomial…

math.FA2021

Trace operators on bounded subanalytic manifolds

Anna Valette, Guillaume Valette

We prove that if $M \subset R^{n}$ is a bounded subanalytic submanifold of $R^{n}$ such that $B (x_{0}, ε) \cap M$ is connected for every $x_{0} \in M$ and $ε > 0$ sma…