Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A probabilistic model for the distribution of ranks of elliptic curves
  over $\mathbb{Q}$   In this article, we propose a new probabilistic model for the distribution of
ranks of elliptic curves in families of fixed Selmer rank, and compare the
predictions with previous results, and with the databases of curves over the
rationals that we have at our disposal. In addition, we document a phenomenon
we refer to as Selmer bias that seems to play an important role in the data and
in our models.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph