Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of a unique strong solution to the DMPK equation   For the transmission of electrons in a weakly disordered strip of material
Dorokhov, Mello, Pereyra and Kumar (DMPK) proposed a diffusion process for the
transfer matrices. The correspoding transmission eigenvalues satisfy the DMPK
stochastic differential equations, like Dyson Brownian motion in the context of
GOE/GUE random matrices. We control the singular repulsion terms of this SDE
with a stopping-time argument, and its degenerate initial condition by an
approximation procedure, and thereby establish the DMPK equation to be well
posed.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an