Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong renewal theorems with infinite mean beyond local large deviations   Let $F$ be a distribution function on the line in the domain of attraction of
a stable law with exponent $\alpha\in(0,1/2]$. We establish the strong renewal
theorem for a random walk $S_1,S_2,\ldots$ with step distribution $F$, by
extending the large deviations approach in Doney [Probab. Theory Related Fileds
107 (1997) 451-465]. This is done by introducing conditions on $F$ that in
general rule out local large deviations bounds of the type
$\mathbb{P}\{S_n\in(x,x+h]\}=O(n)\overline{F}(x)/x$, hence are significantly
weaker than the boundedness condition in Doney (1997). We also give
applications of the results on ladder height processes and infinitely divisible
distributions.

12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin