Poisson asymptotics for random projections of points on a high-dimensional sphere
From MaRDI portal
Publication:532591
DOI10.1007/S11856-011-0014-8zbMATH Open1223.60013arXiv0903.0107OpenAlexW2092965867MaRDI QIDQ532591
Oded Schramm, Itai Benjamini, Sasha Sodin
Publication date: 5 May 2011
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Abstract: Project a collection of points on the high-dimensional sphere onto a random direction. If most of the points are sufficiently far from one another in an appropriate sense, the projection is locally close in distribution to the Poisson point process.
Full work available at URL: https://arxiv.org/abs/0903.0107
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Cites Work
Related Items (3)
The projective ensemble and distribution of points in odd-dimensional spheres ⋮ Poisson sphere counting processes with random radii ⋮ Scaling limit for determinantal point processes on spheres
Recommendations
- Title not available (Why is that?) 👍 👎
- Large deviations for random projections of \(\ell^{p}\) balls 👍 👎
- Hyperuniform point sets on the sphere: probabilistic aspects 👍 👎
- Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls 👍 👎
- Poisson approximation with applications to stochastic geometry 👍 👎
- Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls 👍 👎
- The projective ensemble and distribution of points in odd-dimensional spheres 👍 👎
- Asymptotic distribution of coordinates on high dimensional spheres 👍 👎
- Random distributions of points inn‐dimensional spheres 👍 👎
- Scaling limit for determinantal point processes on spheres 👍 👎
This page was built for publication: Poisson asymptotics for random projections of points on a high-dimensional sphere
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q532591)
