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 2020Show all

4 papers · 1 filter

math.AP2020

Poincaré inequality on subanalytic sets

Anna Valette, Guillaume Valette

Let $Ω$ be a subanalytic bounded open subset of $R^{n}$ , with possibly singular boundary. We show that given $p \in [1, \infty)$ , there is a constant $C$ such that for any $u\…

hep-th2020★ 13 cited

On the large $D$ expansion of Hermitian multi-matrix models

Sylvain Carrozza, Frank Ferrari, Adrian Tanasa +1

We investigate the existence and properties of a double asymptotic expansion in $1/ N^{2}$ and $1/ D$ in $U (N) \times O (D)$ invariant Hermitian multi-matrix mo…

math-ph2020★ 2 cited

Multiple scaling limits of $U (N)^{2} \times O (D)$ multi-matrix models

Dario Benedetti, Sylvain Carrozza, Reiko Toriumi +1

We study the double- and triple-scaling limits of a complex multi-matrix model, with $U (N)^{2} \times O (D)$ symmetry. The double-scaling limit amounts to taking simu…

math.AG2020

Poincaré duality for $L^{p}$ cohomology on subanalytic singular spaces

Guillaume Valette

We investigate the problem of Poincaré duality for $L^{p}$ differential forms on bounded subanalytic submanifolds of $R^{n}$ (not necessarily compact). We show that, when $p$ …

Poincaré inequality on subanalytic sets

On the large D expansion of Hermitian multi-matrix models

Multiple scaling limits of U(N)2×O(D) multi-matrix models

Poincaré duality for Lp cohomology on subanalytic singular spaces

On the large $D$ expansion of Hermitian multi-matrix models

Multiple scaling limits of $U (N)^{2} \times O (D)$ multi-matrix models

Poincaré duality for $L^{p}$ cohomology on subanalytic singular spaces