English

Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces"

Dynamical Systems 2017-08-24 v4

Abstract

One of the propositions in the paper [D. Kleinbock and G.A. Margulis, Logarithm laws for flows on homogeneous spaces, Invent. Math. 138 (1999), 451-494] related to approximating certain sets by smooth functions, was recently found to be incorrect. Here we correct the mistake.

Keywords

Cite

@article{arxiv.1706.08570,
  title  = {Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces"},
  author = {Dmitry Kleinbock and Gregory Margulis},
  journal= {arXiv preprint arXiv:1706.08570},
  year   = {2017}
}

Comments

6 pages; minor changes made, misprints corrected