Simon Buchholz

activity

20182020

most citedAssaying Large-scale Testing Models to Interpret COVID-19 Case Numbers

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

stat.AP2020★ 2 cited

Assaying Large-scale Testing Models to Interpret COVID-19 Case Numbers

Michel Besserve, Simon Buchholz, Bernhard Schölkopf

Large-scale testing is considered key to assess the state of the current COVID-19 pandemic. Yet, the link between the reported case numbers and the true state of the pandemic remai…

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…

math.PR2018

Probability to be positive for the membrane model in dimensions 2 and 3

Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt +1

We consider the membrane model on a box $V_{N} \subset Z^{n}$ of size $(2 N + 1)^{n}$ with zero boundary condition in the subcritical dimensions $n = 2$ and $n = 3$ . We show optimal est…