Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of Adaptive Multilevel Splitting to High-Dimensional
  Dynamical Systems   Stochastic nonlinear dynamical systems can undergo rapid transitions relative
to the change in their forcing, for example due to the occurrence of multiple
equilibrium solutions for a specific interval of parameters. In this paper, we
modify one of the methods developed to compute probabilities of such
transitions, Trajectory-Adaptive Multilevel Sampling (TAMS), to be able to
apply it to high-dimensional systems. The key innovation is a projected
time-stepping approach, which leads to a strong reduction in computational
costs, in particular memory usage. The performance of this new implementation
of TAMS is studied through an example of the collapse of the Atlantic Ocean
Circulation.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci