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Shrinking targets for semisimple groups
Author(s) -
Ghosh Anish,
Kelmer Dubi
Publication year - 2017
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12023
Subject(s) - mathematics , logarithm , conjecture , homogeneous , diophantine equation , pure mathematics , diophantine approximation , algebra over a field , mathematical analysis , combinatorics
We study the shrinking target problem for actions of semisimple groups on homogeneous spaces, with applications to logarithm laws and Diophantine approximation related to an effective version of the Oppenheim conjecture valid for almost all quadratic forms.