Saturday 28 September 2024 |
Events for day: Tuesday 16 April 2019 |
14:00 - 15:00 Weekly Seminar HEPCo Group BMS4 Algebra, its Stability and Deformation School PHYSICS Farmanieh Building, Seminar Room Class D (3rd floor) ... 14:30 - 16:00 Geometry and Topology Seminar Gromov's waists for non-radial Gaussian and radial non-Gaussian measures School MATHEMATICS Mikhail Gromov in 2003 proved the waist theorem for a radially symmetric Gaussian measure in $mathbb R^n$: For any such measure and any continuous map $ f: mathbb R^n omathbb R^m$, there exists a point $yinmathbb R^m$ such that for any $t>0$ the measure of the $t$-neighborhood of the preimage $f^{-1}(y)$ is not less than the measure of the $t$-neighborhood of the standard linear subspace $mathbb R^{n-m}subseteqmathbb R^n$. We were thinking about a version of this theorem for a non-radial Gaussian measure. We managed to establish such with a similar statement, of course, the linear subspace $mathbb R^{n-m}subseteqmathbb R^n$ at the end of ... |