Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diophantine inheritance for p-adic measures   In this paper we prove complete $p$-adic analogues of Kleinbock's theorems
\cite{Kleinbock-extremal, Kleinbock-exponent} on inheritance of Diophantine
exponents for affine subspaces. In particular, we answer in the affirmative
(and in a stronger form), a conjecture of Kleinbock and Tomanov \cite{KT}, as
well as a question of Kleinbock \cite{Kleinbock-exponent}. Our main innovation
is the introduction of a new $p$-adic Diophantine exponent which is better
suited to homogeneous dynamics, and which we show to be closely related to the
exponent considered by Kleinbock and Tomanov.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph