1 citations · 1 across the 4 of their papers we have counts for
5 papers
Eyring-Kramers asymptotics for infinite-dimensional stochastic gradient systems
Morris Brooks, Giacomo Di Gesù
We study small-noise asymptotics for a class of reversible stochastic evolution equations in infinite dimensions. The dynamics are of the form \[ dX_t=-A\nabla F(X_t)\,dt+\sqrt{2β^…
Adiabatic Klein-Gordon Dynamics for the Renormalized Nelson Model
Morris Brooks, David Mitrouskas
We study the renormalized Nelson model in a semiclassical regime where the field becomes classical while the particle remains quantum. The degree of classicality is measured by a s…
Proof of the Landau-Pekar Formula for the effective Mass of the Polaron at strong coupling
Morris Brooks
We study the Fröhlich polaron in the regime of strong coupling and prove the asymptotically sharp lower bound on the effective mass $m_{\mathrm{eff}}(α)\geq α^4 m_{\mathrm{LP}}-Cα^…
Second order energy expansion of Bose gases with three-body interactions
Morris Brooks
We provide a second order energy expansion for a gas of bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam…
Diagonalizing Bose Gases in the Gross-Pitaevskii Regime and Beyond
Morris Brooks
We present a novel approach to the Bogoliubov theory of dilute Bose gases, allowing for an elementary derivation of the celebrated Lee-Huang-Yang formula in the Gross-Pitaevskii re…