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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Showing 2019Show all

2 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.PR2019

Phase transitions for a class of gradient fields

Simon Buchholz

We consider gradient fields on $Z^{d}$ for potentials $V$ that can be expressed as $e^{- V (x)} = p e^{- \frac{q x ^{2}}{2}} + (1 - p) e^{- \frac{x ^{2}}{2}} .$ This representation allows us…