Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concentration of the Brownian bridge on Cartan-Hadamard manifolds with
  pinched negative sectional curvature   We study the rate of concentration of a Brownian bridge in time one around
the corresponding geodesical segment on a Cartan-Hadamard manifold with pinched
negative sectional curvature, when the distance between the two extremities
tends to infinity. This improves on previous results by A. Eberle, and one of
us. Along the way, we derive a new asymptotic estimate for the logarithmic
derivative of the heat kernel on such manifolds, in bounded time and with one
space parameter tending to infinity, which can be viewed as a counterpart to
Bismut's asymptotic formula in small time.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex