Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenched mass transport of particles towards a target   We consider the stochastic target problem of finding the collection of
initial laws of a mean-field stochastic differential equation such that we can
control its evolution to ensure that it reaches a prescribed set of terminal
probability distributions, at a fixed time horizon. Here, laws are considered
conditionally to the path of the Brownian motion that drives the system. We
establish a version of the geometric dynamic programming principle for the
associated reachability sets and prove that the corresponding value function is
a viscosity solution of a geometric partial differential equation. This
provides a characterization of the initial masses that can be almost-surely
transported towards a given target, along the paths of a stochastic
differential equation. Our results extend [16] to our setting.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess