Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic independence of initial condition and dynamical law in
  thermodynamics and causal inference   We postulate a principle stating that the initial condition of a physical
system is typically algorithmically independent of the dynamical law. We argue
that this links thermodynamics and causal inference. On the one hand, it
entails behaviour that is similar to the usual arrow of time. On the other
hand, it motivates a statistical asymmetry between cause and effect that has
recently postulated in the field of causal inference, namely, that the
probability distribution P(cause) contains no information about the conditional
distribution P(effect|cause) and vice versa, while P(effect) may contain
information about P(cause|effect).

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph