Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cauchy flights in confining potentials   We analyze confining mechanisms for L\'evy flights evolving under an
influence of external potentials. Given a stationary probability density
function (pdf), we address the reverse engineering problem: design a jump-type
stochastic process whose target pdf (eventually asymptotic) equals the
preselected one. To this end, dynamically distinct jump-type processes can be
employed. We demonstrate that one "targeted stochasticity" scenario involves
Langevin systems with a symmetric stable noise. Another derives from the
L\'evy-Schr\"odinger semigroup dynamics (closely linked with topologically
induced super-diffusions), which has no standard Langevin representation. For
computational and visualization purposes, the Cauchy driver is employed to
exemplify our considerations.

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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: stat