Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new bound for the capacity of the deletion channel with high deletion
  probabilities   Let $C(d)$ be the capacity of the binary deletion channel with deletion
probability $d$. It was proved by Drinea and Mitzenmacher that, for all $d$,
$C(d)/(1-d)\geq 0.1185 $. Fertonani and Duman recently showed that
$\limsup_{d\to 1}C(d)/(1-d)\leq 0.49$. In this paper, it is proved that
$\lim_{d\to 1}C(d)/(1-d)$ exists and is equal to $\inf_{d}C(d)/(1-d)$. This
result suggests the conjecture that the curve $C(d)$ my be convex in the
interval $d\in [0,1]$. Furthermore, using currently known bounds for $C(d)$, it
leads to the upper bound $\lim_{d\to 1}C(d)/(1-d)\leq 0.4143$.

32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga