Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local limit theorems and mod-phi convergence   We prove local limit theorems for mod-{\phi} convergent sequences of random
variables, {\phi} being a stable distribution. In particular, we give two new
proofs of a local limit theorem in the framework of mod-phi convergence: one
proof based on the notion of zone of control, and one proof based on the notion
of mod-{\phi} convergence in L1(iR). These new approaches allow us to identify
the infinitesimal scales at which the stable approximation is valid. We
complete our analysis with a large variety of examples to which our results
apply, and which stem from random matrix theory, number theory, combinatorics
or statistical mechanics.

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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org