Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator growth in the SYK model   We discuss the probability distribution for the "size" of a time-evolving
operator in the SYK model. Scrambling is related to the fact that as time
passes, the distribution shifts towards larger operators. Initially, the rate
is exponential and determined by the infinite-temperature chaos exponent. We
evaluate the size distribution numerically for $N = 30$, and show how to
compute it in the large-$N$ theory using the dressed fermion propagator. We
then evaluate the distribution explicitly at leading nontrivial order in the
large-$q$ expansion.

27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph