Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universal exponent for Brownian entropic repulsion   We investigate the extent to which the phenomenon of Brownian entropic
repulsion is universal. Consider a Brownian motion conditioned on the event
$\mathcal{E}$ -- that its local time is bounded everywhere by 1. This event has
probability zero and so must be approximated by events of positive probability.
We prove that several natural quantities, in particular the speed of the
process, are highly sensitive to the approximation procedure, and hence are not
universal. However, we also propose an exponent $\kappa$ -- which measures the
strength of the entropic repulsion by evaluating the probability that a
particular point comes close to violating the condition $\mathcal{E}$. We show
that $\kappa=3$ for several natural approximations of $\mathcal{E}$, and
conjecture that $\kappa=3$ is universal in a sense that we make precise.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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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: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin