Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some transformations between positive self--similar Markov processes   A path decomposition at the infimum for positive self-similar Markov
processes (pssMp) is obtained. Next, several aspects of the conditioning to hit
0 of a pssMp are studied. Associated to a given a pssMp $X,$ that never hits 0,
we construct a pssMp $X^{\downarrow}$ that hits 0 in a finite time. The latter
can be viewed as $X$ conditioned to hit 0 in a finite time and we prove that
this conditioning is determined by the pre-minimum part of $X.$ Finally, we
provide a method for conditioning a pssMp that hits 0 by a jump to do it
continuously.

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The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
34
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: econ
33
The categories of this paper are: plasm-ph