Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weyl law for open systems with sharply divided mixed phase space   A generalization of the Weyl law to systems with a sharply divided mixed
phase space is proposed. The ansatz is composed of the usual Weyl term which
counts the number of states in regular islands and a term associated with
sticky regions in phase space. For a piecewise linear map, we numerically check
the validity of our hypothesis, and find good agreement not only for the case
with a sharply divided phase space, but also for the case where tiny island
chains surround the main regular island. For the latter case, a non-trivial
power law exponent appears in the survival probability of classical escaping
orbits, which may provide a clue to develop the Weyl law for more generic mixed
systems.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat