Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A trajectory-free framework for analysing multiscale systems   We develop algorithms built around properties of the transfer operator and
Koopman operator which 1) test for possible multiscale dynamics in a given
dynamical system, 2) estimate the magnitude of the time-scale separation, and
finally 3) distill the reduced slow dynamics on a suitably designed subspace.
By avoiding trajectory integration, the developed techniques are highly
computationally efficient. We corroborate our findings with numerical
simulations of a test problem.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph