Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Properties of a Run-and-Tumble Particle in Arbitrary Dimension   We consider an active run-and-tumble particle (RTP) in $d$ dimensions,
starting from the origin and evolving over a time interval $[0,t]$. We examine
three different models for the dynamics of the RTP: the standard RTP model with
instantaneous tumblings, a variant with instantaneous runs and a general model
in which both the tumblings and the runs are non-instantaneous. For each of
these models, we use the Sparre Andersen theorem for discrete-time random walks
to compute exactly the probability that the $x$ component does not change sign
up to time $t$, showing that it does not depend on $d$. As a consequence of
this result, we compute exactly other $x$-component properties, namely the
distribution of the time of the maximum and the record statistics, showing that
they are universal, i.e. they do not depend on $d$. Moreover, we show that
these universal results hold also if the speed $v$ of the particle after each
tumbling is random, drawn from a generic probability distribution. Our findings
are confirmed by numerical simulations. Some of these results have been
announced in a recent Letter [Phys. Rev. Lett. 124, 090603 (2020)].

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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol