activity
20142020
most citedCritical two-point function for long-range models below the upper critical dimension

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

collaborators

7 papers

cs.CV2020★ 4 cited

Learning About Objects by Learning to Interact with Them

Martin Lohmann, Jordi Salvador, Aniruddha Kembhavi +1

Much of the remarkable progress in computer vision has been focused around fully supervised learning mechanisms relying on highly curated datasets for a variety of tasks. In contra…

math-ph2019★ 4 cited

Three-dimensional tricritical spins and polymers

Roland Bauerschmidt, Martin Lohmann, Gordon Slade

We consider two intimately related statistical mechanical problems on : (i) the tricritical behaviour of a model of classical unbounded -component continuous spins…

math-ph2018★ 1 cited

Critical exponent for the magnetization of the weakly coupled model

Martin Lohmann

We consider the weakly coupled theory on , in a weak magnetic field , and at the chemical potential for which the theory is critical if . 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…

math-ph2017★ 29 cited

Critical two-point function for long-range models below the upper critical dimension

Martin Lohmann, Gordon Slade, Benjamin C. Wallace

We consider the -component lattice spin model () and the weakly self-avoiding walk () on , in dimensions . We study long-range model…

math-ph2015

Some improved nonperturbative bounds for Fermionic expansions

Martin Lohmann

We reconsider the Gram-Hadamard bound as it is used in constructive quantum field theory and many body physics to prove convergence of Fermionic perturbative expansions. Our approa…

math-ph2014

Single Scale Cluster Expansions with Applications to Many Boson and Unbounded Spin Systems

Martin Lohmann

We develop a cluster expansion to show exponential decay of correlations for quite general single scale spin systems, as they arise in lattice quantum field theory and discretized…