Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy and drift for Gibbs measures on geometrically finite manifolds   We prove a generalization of the fundamental inequality of Guivarc'h relating
entropy, drift and critical exponent to Gibbs measures on geometrically finite
quotients of CAT(-1) metric spaces. For random walks with finite
superexponential moment, we show that the equality is achieved if and only if
the Gibbs density is equivalent to the hitting measure. As a corollary, if the
action is not convex cocompact, any hitting measure is singular to any Gibbs
density.

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The categories of this paper are: chem-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
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an