Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflected Brownian motion on simple nested fractals   We prove the existence of the reflected diffusion on a complex of an
arbitrary size for a large class of planar simple nested fractals. Such a
process is obtained as a folding projection of the free Brownian motion from
the unbounded fractal. We give sharp necessary geometric conditions on the
fractal under which this projection can be well defined. They are illustrated
by various specific examples. We first construct a proper version of the
transition probability densities for reflected process and we prove that it is
a continuous, bounded and symmetric function which satisfies the
Chapman-Kolmogorov equations. These provide us with further regularity
properties of the reflected process such us Markov, Feller and strong Feller
property

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-ex