Simon Buchholz

activity

20132026

most citedMultivariate Central Limit Theorem in Quantum Dynamics

26 citations · 69 across the 20 of their papers we have counts for

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3 papers · 1 filter

math-ph2019★ 10 cited

Cauchy-Born Rule from Microscopic Models with Non-convex Potentials

Stefan Adams, Simon Buchholz, Roman Kotecký +1

We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In parti…

math-ph2016★ 7 cited

Finite Range Decomposition for Gaussian Measures with Improved Regularity

Simon Buchholz

We consider a family of gradient Gaussian vector fields on the torus $(Z / L^{N} Z)^{d}$ . Adams, Kotecký, Müller and independently Bauerschmidt established the existence…

math-ph2013★ 26 cited

Multivariate Central Limit Theorem in Quantum Dynamics

Simon Buchholz, Chiara Saffirio, Benjamin Schlein

We consider the time evolution of $N$ bosons in the mean field regime for factorized initial data. In the limit of large $N$ , the many body evolution can be approximated by the non…