5 citations · 15 across the 9 of their papers we have counts for
6 papers · 2 filters
The Replica Symmetric Formula for the SK Model Revisited
Christian Brennecke, Horng-Tzer Yau
We provide a simple extension of Bolthausen's Morita type proof of the replica symmetric formula [E. Bolthausen, Stat. Mech. of Classical and Disordered Systems, pp. 63-93 (2018)]…
Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime
Christian Brennecke, Benjamin Schlein, Severin Schraven
We consider systems of bosons in , trapped by an external potential. The interaction is repulsive and has a scattering length of the order (Gross-Pitaevs…
Excitation Spectrum for Bose Gases beyond the Gross-Pitaevskii Regime
Christian Brennecke, Marco Caporaletti, Benjamin Schlein
We consider Bose gases of particles in a box of volume one, interacting through a repulsive potential with scattering length of order , for . Such regimes interp…
On the mean-field equations for ferromagnetic spin systems
Christian Brennecke, Per von Soosten
We derive mean-field equations for a general class of ferromagnetic spin systems with an explicit error bound in finite volumes. The proof is based on a link between the mean-field…
Dynamical Approach to the TAP Equations for the Sherrington-Kirkpatrick Model
Arka Adhikari, Christian Brennecke, Per von Soosten +1
We present a new dynamical proof of the Thouless-Anderson-Palmer (TAP) equations for the classical Sherrington-Kirkpatrick spin glass at sufficiently high temperature. In our deriv…
Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
Christian Brennecke, Benjamin Schlein, Severin Schraven
We consider a Bose gas consisting of particles in , trapped by an external field and interacting through a two-body potential with scattering length of order $N^{…