Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie-Trotter product formula for locally equicontinuous and tight Markov
  semigroup   In this paper we prove a Lie-Trotter product formula for Markov semigroups in
spaces of measures. We relate our results to "classical" results for strongly
continuous linear semigroups on Banach spaces or Lipschitz semigroups in metric
spaces and show that our approach is an extension of existing results. As
Markov semigroups on measures are usually neither strongly continuous nor
bounded linear operators for the relevant norms, we prove the convergence of
the Lie-Trotter product formula assuming that the semigroups are locally
equicontinuous and tight. A crucial tool we use in the proof is a Schur-like
property for spaces of measures.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom