Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free-differentiability conditions on the free-energy function implying
  large deviations   Let $(\mu_{\alpha})$ be a net of Radon sub-probability measures on the real
line, and $(t_{\alpha})$ be a net in $]0,+\infty[$ converging to 0. Assuming
that the generalized log-moment generating function $L(\lambda)$ exists for all
$\lambda$ in a nonempty open interval $G$, we give conditions on the left or
right derivatives of $L_{\mid G}$, implying vague (and thus narrow when $0\in
G$) large deviations. The rate function (which can be nonconvex) is obtained as
an abstract Legendre-Fenchel transform. This allows us to strengthen the
G\"{a}rtner-Ellis theorem by removing the usual differentiability assumption. A
related question of R. S. Ellis is solved.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc