S. Steinerberger

activity

20122026

most citedEfficient Algorithms for t-distributed Stochastic Neighborhood Embedding

607 citations · 834 across the 123 of their papers we have counts for

collaborators

Showing 2013Show all

8 papers · 1 filter

math.CA2013

Lower bounds for the truncated Hilbert transform

Rima Alaifari, Lillian B. Pierce, Stefan Steinerberger

Given two intervals $I, J \subset R$ , we ask whether it is possible to reconstruct a real-valued function $f \in L^{2} (I)$ from knowing its Hilbert transform $H f$ on $J$ . Wh…

math.PR2013

New Bounds for the Traveling Salesman Constant

Stefan Steinerberger

Let $X_{1}, X_{2}, \dots, X_{n}$ be independent and uniformly distributed random variables in the unit square $[0, 1]^{2}$ and let $L (X_{1}, \dots, X_{n})$ be the length of the shortest traveli…

math.CA2013

Sharp L^1 Poincare inequalities correspond to optimal hypersurface cuts

Stefan Steinerberger

Let $Ω \subset R^{n}$ be a convex. If $u : Ω \to R$ has mean 0, then we have the classical Poincaré inequality $$ \|u \|_{L^p} \leq c_p \mbox{diam}(Ω) \| \nabl…

math.PR2013★ 2 cited

On Eigenvectors of Random Band Matrices with Large Band

Stefan Steinerberger

We study random, symmetric $N \times N$ band matrices with a band of size $W$ and Bernoulli random variables as entries. This interpolates between nearest neighbour interaction $W…

math.CA2013

On the curvature of level sets of harmonic functions

Stefan Steinerberger

If a real harmonic function inside the open unit disk $B (0, 1) \subset R^{2}$ has its level set ${x : u (x) = u (0)}$ diffeomorphic to an interval, then we prove th…

math.AP2013

Dispersion dynamics for the defocusing generalized Korteweg-de Vries equation

Stefan Steinerberger

We study dispersion for the defocusing gKdV equation. It is expected that it is not possible for the bulk of the $L^{2} -$ mass to concentrate in a small interval for a long time. We s…