Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Packing dimensions of the divergence points of self-similar measures
  with the open set condition   Let $\mu$ be the self-similar measure supported on the self-similar set $K$
with open set condition. In this article, we discuss the packing dimension of
the set $\{x\in K: A(\frac{\log\mu(B(x,r))}{\log r})=I\}$ for
$I\subseteq\mathbb{R}$, where $A(\frac{\log\mu(B(x,r))}{\log r})$ denotes the
set of accumulation points of \frac{\log\mu(B(x,r))}{\log r}$ as $r\searrow0$.
Our main result solves the conjecture about packing dimension posed by Olsen
and Winter \cite{OlsWin} and generalizes the result in \cite{BaeOlsSni}.

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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph