Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sensitivity analysis of one parameter semigroups exemplified by the
  Wright--Fisher diffusion   We consider the sensitivity, with respect to a parameter \theta, of
parametric families of operators A_{\theta}, vectors \pi_{\theta} corresponding
to the adjoints A_{\theta}^{*} of A_{\theta} via A_{\theta}^{*}\pi_{\theta}=0
and one parameter semigroups t\mapsto e^{tA_{\theta}}. We display formulas
relating weak differentiability of \theta\mapsto \pi_{\theta} (at \theta=0) to
weak differentiability of \theta\mapsto A_{\theta}^{*}\pi_{0} and
[e^{A_{\theta}t}]^{*}\pi_{0}. We give two applications: The first one concerns
the sensitivity of the Ornstein--Uhlenbeck process with respect to its location
parameter. The second one provides new insights regarding the Wright--Fisher
diffusion for small mutation parameter.

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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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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: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs