S. Larson

activity

20152023

most citedExclusion bounds for extended anyons

24 citations · 108 across the 16 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.SP2016★ 9 cited

Asymptotic shape optimization for Riesz means of the Dirichlet Laplacian over convex domains

Simon Larson

For $Ω \subset R^{n}$ , a convex and bounded domain, we study the spectrum of $- Δ_{Ω}$ the Dirichlet Laplacian on $Ω$ . For $Λ \geq 0$ and $γ \geq 0$ let $Ω_{Λ, γ} (A)$ den…

math-ph2016★ 24 cited

Exclusion bounds for extended anyons

Simon Larson, Douglas Lundholm

We introduce a rigorous approach to the many-body spectral theory of extended anyons, i.e. quantum particles confined to two dimensions that interact via attached magnetic fluxes o…

math.AP2016★ 10 cited

Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group

Simon Larson

We prove geometric $L^{p}$ versions of Hardy's inequality for the sub-elliptic Laplacian on convex domains $Ω$ in the Heisenberg group $H^{n}$ , where convex is meant in the Eu…