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Publications Influence

Almost no points on a Cantor set are very well approximable

- B. Weiss
- Mathematics
- Proceedings of the Royal Society of London…
- 8 April 2001

We prove that almost no numbers in Cantor's middle–thirds set are very well approximable by rationals. More generally, we discuss Diophantine properties of almost every point, where ‘almost every’ is… Expand

43 10

On fractal measures and diophantine approximation

- D. Kleinbock, E. Lindenstrauss, B. Weiss
- Mathematics
- 1 April 2005

We study diophantine properties of a typical point with respect to measures on \(\mathbb{R}^n .\) Namely, we identify geometric conditions on a measure μ on \(\mathbb{R}^n \) guaranteeing that… Expand

72 8- PDF

Spatial Aliasing in Spherical Microphone Arrays

- B. Rafaely, B. Weiss, Eitan Bachmat
- Mathematics, Computer Science
- IEEE Transactions on Signal Processing
- 1 March 2007

TLDR

156 7

DIRICHLET'S THEOREM ON DIOPHANTINE APPROXIMATION AND HOMOGENEOUS FLOWS

- D. Kleinbock, B. Weiss
- Mathematics
- 6 December 2006

Given an $m \times n$ real matrix $Y$, an unbounded set $\mathcal{T}$
of parameters $t =( t_1, \ldots,
t_{m+n})\in\mathbb{R}_+^{m+n}$ with $\sum_{i = 1}^m t_i =\sum_{j = 1}^{n} t_{m+j} $ and… Expand

60 7- PDF

The automorphism group of the Gaussian measure cannot act pointwise

- E. Glasner, B. Tsirelson, B. Weiss
- Mathematics
- 25 November 2003

Classical ergodic theory deals with measure (or measure class) preserving actions of locally compact groups on Lebesgue spaces. An important tool in this setting is a theorem of Mackey which provides… Expand

48 7- PDF

Chapter 10 – On the Interplay between Measurable and Topological Dynamics

- E. Glasner, B. Weiss
- Mathematics, Physics
- 24 August 2004

This chapter discusses the interplay between measurable and topological dynamics. Ergodic theory or measurable dynamics and topological dynamic are the two sister branches of the theory of dynamical… Expand

89 6- PDF

On fractal measures and diophantine approximation

Abstract.We study diophantine properties of a typical point with respect to measures on
$\mathbb{R}^n .$
Namely, we identify geometric conditions on a measure μ on
$\mathbb{R}^n $
guaranteeing that… Expand

59 6

THE SET OF BADLY APPROXIMABLE VECTORS IS STRONGLY C 1 INCOMPRESSIBLE

- R. Broderick, L. Fishman, D. Kleinbock, Asaf Reich, B. Weiss
- Mathematics
- 8 June 2011

We prove that the countable intersection of C 1 -diffeomorphic images of cer- tain Diophantine sets has full Hausdorff dimension. For example, we show this for the set of badly approximable vectors… Expand

63 6- PDF

Closed orbits for actions of maximal tori on homogeneous spaces

- G. Tomanov, B. Weiss
- Mathematics
- 15 August 2003

Let G be a real algebraic group defined over Q, let 0 be an arithmetic subgroup, and let T be any torus containing a maximal R-split torus. We prove that the closed orbits for the action of T on G/0… Expand

44 6- PDF

Badly approximable vectors on fractals

- D. Kleinbock, B. Weiss
- Mathematics
- 1 December 2005

For a large class of closed subsetsC of ℝn, we show that the intersection ofC with the set of badly approximable vectors has the same Hausdorff dimension asC. The sets are described in terms of… Expand

63 5- PDF