R. Bauerschmidt

activity

20122023

most citedLogarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis

64 citations · 883 across the 36 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math-ph2015★ 13 cited

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and $∣ φ ∣^{4}$ spins

Roland Bauerschmidt, Gordon Slade, Alexandre Tomberg +1

We study the 4-dimensional $n$ -component $∣ φ ∣^{4}$ spin model for all integers $n \geq 1$ , and the 4-dimensional continuous-time weakly self-avoiding walk which corresponds exactly to…

math-ph2015★ 23 cited

Local density for two-dimensional one-component plasma

Roland Bauerschmidt, Paul Bourgade, Miika Nikula +1

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential.…

math.PR2015★ 53 cited

Bulk eigenvalue statistics for random regular graphs

Roland Bauerschmidt, Jiaoyang Huang, Antti Knowles +1

We consider the uniform random $d$ -regular graph on $N$ vertices, with $d \in [N^{α}, N^{2/3 - α}]$ for arbitrary $α > 0$ . We prove that in the bulk of the spectrum the local eigenvalue…

math.PR2015★ 54 cited

Local semicircle law for random regular graphs

Roland Bauerschmidt, Antti Knowles, Horng-Tzer Yau

We consider random $d$ -regular graphs on $N$ vertices, with degree $d$ at least $(lo g N)^{4}$ . We prove that the Green's function of the adjacency matrix and the Stieltjes transform…

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and ∣φ∣4 spins

Local density for two-dimensional one-component plasma

Bulk eigenvalue statistics for random regular graphs

Local semicircle law for random regular graphs

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and $∣ φ ∣^{4}$ spins