Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cut-invariant law of large numbers for random heaps   Heap monoids equipped with Bernoulli measures are a model of probabilistic
asynchronous systems. We introduce in this framework the notion of asynchronous
stopping time, which is analogous to the notion of stopping time for classical
probabilistic processes. A Strong Bernoulli property is proved. A notion of
cut-invariance is formulated for convergent ergodic means. Then a version of
the Strong law of large numbers is proved for heap monoids with Bernoulli
measures. Finally, we study a sub-additive version of the Law of large numbers
in this framework based on Kingman sub-additive Ergodic Theorem.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th