Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binomial-Poisson entropic inequalities and the M/M/$\infty$ queue   This article provides entropic inequalities for binomial-Poisson
distributions, derived from the two point space. They appear as local
inequalities of the M/M/$\infty$ queue. They describe in particular the
exponential dissipation of $\Phi$-entropies along this process. This simple
queueing process appears as a model of ``constant curvature'', and plays for
the simple Poisson process the role played by the Ornstein-Uhlenbeck process
for Brownian Motion. Some of the inequalities are recovered by semi-group
interpolation. Additionally, we explore the behaviour of these entropic
inequalities under a particular scaling, which sees the Ornstein-Uhlenbeck
process as a fluid limit of M/M/$\infty$ queues. Proofs are elementary and rely
essentially on the development of a ``$\Phi$-calculus''.

24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int