Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sample Path Large Deviations for L\'evy Processes and Random Walks with
  Regularly Varying Increments   Let $X$ be a L\'evy process with regularly varying L\'evy measure $\nu$. We
obtain sample-path large deviations for scaled processes $\bar X_n(t)
\triangleq X(nt)/n$ and obtain a similar result for random walks. Our results
yield detailed asymptotic estimates in scenarios where multiple big jumps in
the increment are required to make a rare event happen; we illustrate this
through detailed conditional limit theorems. In addition, we investigate
connections with the classical large deviations framework. In that setting, we
show that a weak large deviation principle (with logarithmic speed) holds, but
a full large deviation principle does not hold.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an