Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations and a Kramers' type law for self-stabilizing diffusions   We investigate exit times from domains of attraction for the motion of a
self-stabilized particle traveling in a geometric (potential type) landscape
and perturbed by Brownian noise of small amplitude. Self-stabilization is the
effect of including an ensemble-average attraction in addition to the usual
state-dependent drift, where the particle is supposed to be suspended in a
large population of identical ones. A Kramers' type law for the particle's exit
from the potential's domains of attraction and a large deviations principle for
the self-stabilizing diffusion are proved. It turns out that the exit law for
the self-stabilizing diffusion coincides with the exit law of a potential
diffusion without self-stabilization and a drift component perturbed by average
attraction. We show that self-stabilization may substantially delay the exit
from domains of attraction, and that the exit location may be completely
different.

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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th