Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifractal properties of sample paths of ground state-transformed jump
  processes   We consider a class of L\'evy-type processes with unbounded coefficients,
arising as Doob $h$-transforms of Feynman-Kac type representations of non-local
Schr\"odinger operators, where the function $h$ is chosen to be the ground
state of such an operator. First, we show the existence of a c\`adl\`ag version
of the so-obtained ground state-transformed processes. Next, we prove that they
satisfy a related stochastic differential equation with jumps. Making use of
this SDE, we then derive and prove the multifractal spectrum of local H\"older
exponents of sample paths of ground state-transformed processes.

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The categories of this paper are: econ
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph