Martin Lohmann

activity

20142020

most citedCritical two-point function for long-range

O (n)

models below the upper critical dimension

29 citations · 38 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math-ph2018★ 1 cited

Critical exponent for the magnetization of the weakly coupled $ϕ_{4}^{4}$ model

Martin Lohmann

We consider the weakly coupled $ϕ^{4}$ theory on $Z^{4}$ , in a weak magnetic field $h$ , and at the chemical potential $ν_{c}$ for which the theory is critical if $h = 0$ . We pro…

math.PR2018

The density of states of 1D random band matrices via a supersymmetric transfer operator

Margherita Disertori, Martin Lohmann, Sasha Sodin

Recently, T. and M. Shcherbina proved a pointwise semicircle law for the density of states of one-dimensional Gaussian band matrices of large bandwidth. The main step of their proo…

Critical exponent for the magnetization of the weakly coupled ϕ44​ model

The density of states of 1D random band matrices via a supersymmetric transfer operator

Critical exponent for the magnetization of the weakly coupled $ϕ_{4}^{4}$ model