Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform and Bernoulli measures on the boundary of trace monoids   Trace monoids and heaps of pieces appear in various contexts in
combinatorics. They also constitute a model used in computer science to
describe the executions of asynchronous systems. The design of a natural
probabilistic layer on top of the model has been a long standing challenge. The
difficulty comes from the presence of commuting pieces and from the absence of
a global clock. In this paper, we introduce and study the class of Bernoulli
probability measures that we claim to be the simplest adequate probability
measures on infinite traces. For this, we strongly rely on the theory of trace
combinatorics with the M\"obius polynomial in the key role. These new measures
provide a theoretical foundation for the probabilistic study of concurrent
systems.

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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: physics