Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Understanding probability and irreversibility in the Mori-Zwanzig
  projection operator formalism   Explaining the emergence of stochastic irreversible macroscopic dynamics from
time-reversible deterministic microscopic dynamics is one of the key problems
in philosophy of physics. The Mori-Zwanzig projection operator formalism, which
is one of the most important methods of modern nonequilibrium statistical
mechanics, allows for a systematic derivation of irreversible transport
equations from reversible microdynamics and thus provides a useful framework
for understanding this issue. However, discussions of the Mori-Zwanzig
formalism in philosophy of physics tend to focus on simple variants rather than
on the more sophisticated ones used in modern physical research. In this work,
I will close this gap by studying the problems of probability and
irreversibility using the example of Grabert's time-dependent projection
operator formalism. This allows to give a more solid mathematical foundation to
various concepts from the philosophical literature, in particular Wallace's
simple dynamical conjecture and Robertson's theory of autonomous macrodynamics.
Moreover, I will explain how the Mori-Zwanzig formalism allows to resolve the
tension between epistemic and ontic approaches to probability in statistical
mechanics. Finally, I argue that the debate which interventionists and
coarse-grainers should really be having is related not to the question why
there is equilibration at all, but why it has the quantitative form it is found
to have in experiments.

15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math