@article{a30cca2375b94f73ad0a0af0ba9116dc,
title = "Logarithm laws and shrinking target properties",
abstract = "We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation and probability theory.",
keywords = "Diophantine approximation, Logarithm laws, Shrinking target properties",
author = "Athreya, {J. S.}",
note = "Funding Information: Finally, I would like to take this opportunity to thank and personally acknowledge Professor S G Dani. The results in this paper are at the nexus of geometry, dynamics, probability theory, and diophantine approximation; and Professor Dani has been at the forefront of exploring these connections. On a more personal note, his lectures in the Fall of 2000 at the University of Chicago, when I was in my first year of graduate school, were influential in my choice of area of study. This work was supported by the NSF grant DMS 0603636.",
year = "2009",
month = sep,
doi = "10.1007/s12044-009-0044-x",
language = "English (US)",
volume = "119",
pages = "541--557",
journal = "Proceedings of the Indian Academy of Sciences: Mathematical Sciences",
issn = "0253-4142",
publisher = "Indian Academy of Sciences",
number = "4",
}