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

2017/06/26 by Dmitry Kleinbock, G. A. Margulis, Kleinbock, Dmitry +1
Engineering · #22F30 #37A17 #Dynamical Systems (math.DS) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows

paper · pdf · doi:10.48550/arxiv.1706.08570

openalex publication_date 2017/06/26 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/28

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.

Related

• Logarithm Laws for Unipotent Flows, II
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Homogeneous approximation for flows on translation surfaces
• Navier-Stokes equations and Banach spaces of local measures
• Polynomial Approximation and ω^r_ϕ(f,t) Twenty Years Later