Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Wahrscheinlichkeitstheorie

 

Assylbek Olzhabayev
ISTA, Klosterneuburg
 
spricht am
 
Mittwoch, 29. April 2026
 
um
 
10:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Superconcentration in minimal surfaces in random environment«

Abstract:
We study the variance of the energy of minimal surfaces in random environment in dimensions 3 and 4. We consider two different models, introduced by Dembin, Elboim, Hadas, and Peled and by Agresti, Clozeau, and Fischer. We prove an upper bound on the variance of the form

\[Var[\min E] ≲ L^{d-1}/(\log)^\theta\]

for some $\theta>0$, which is a logarithmic improvement over the classical theory (such as spectral gap inequality). Our proof is inspired by the proof of sublinear variance in first-passage percolation by Benjamini, Kalai, and Schramm, which we adapt to higher dimensions. This adaptation relies on a quantiative homogenisation result that was obtained by Agresti et. al. Joint work with Julian Fischer and Christian Wagner.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Dominik Schmid

[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Do 26-Mär-2026 08:07:07 MEZ