Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Depinning asymptotics in ergodic media   We study speeds of fronts in bistable, spatially inhomogeneous media at
parameter regimes where speeds approach zero. We provide a set of conceptual
assumptions under which we can prove power-law asymptotics for the speed, with
exponent depending a local dimension of the ergodic measure near extremal
values. We also show that our conceptual assumptions are satisfied in a context
of weak inhomogeneity of the medium and almost balanced kinetics, and compare
asymptotics with numerical simulations.

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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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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: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn