Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing covariant Lyapunov vectors in Hilbert spaces   Covariant Lyapunov vectors (CLVs) are intrinsic modes that describe long-term
linear perturbations of solutions of dynamical systems. With recent advances in
the context of semi-invertible multiplicative ergodic theorems, existence of
CLVs has been proved for various infinite-dimensional scenarios. Possible
applications include the derivation of coherent structures via transfer
operators or the stability analysis of linear perturbations in models of
increasingly higher resolutions. We generalize the concept of Ginelli's
algorithm to compute CLVs in Hilbert spaces. Our main result is a convergence
theorem in the setting of [Gonz\'alez-Tokman, C. and Quas, A., A
semi-invertible operator Oseledets theorem, Ergodic Theory and Dynamical
Systems, 34.4 (2014), pp. 1230-1272]. The theorem relates the speed of
convergence to the spectral gap between Lyapunov exponents. While the theorem
is restricted to the above setting, our proof requires only basic properties
that are given in many other versions of the multiplicative ergodic theorem.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom