Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sanov-type large deviations and conditional limit theorems for
  high-dimensional Orlicz balls   In this paper, we prove a Sanov-type large deviation principle for the
sequence of empirical measures of vectors chosen uniformly at random from an
Orlicz ball. From this level-$2$ large deviation result, in a combination with
Gibbs conditioning, entropy maximization and an Orlicz version of the
Poincar\'e-Maxwell-Borel lemma, we deduce a conditional limit theorem for
high-dimensional Orlicz balls. Roughly speaking, the latter shows that if $V_1$
and $V_2$ are Orlicz functions, then random points in the $V_1$-Orlicz ball,
conditioned on having a small $V_2$-Orlicz radius, look like an appropriately
scaled $V_2$-Orlicz ball. In fact, we show that the limiting distribution in
our Poincar\'e-Maxwell-Borel lemma, and thus the geometric interpretation,
undergoes a phase transition depending on the magnitude of the $V_2$-Orlicz
radius.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an