Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bounds for the density of solutions of stochastic differential
  equations driven by fractional Brownian motions   In this paper we study upper bounds for the density of solution of stochastic
differential equations driven by a fractional Brownian motion with Hurst
parameter H > 1/3. We show that under some geometric conditions, in the regular
case H > 1/2, the density of the solution satisfy the log-Sobolev inequality,
the Gaussian concentration inequality and admits an upper Gaussian bound. In
the rough case H > 1/3 and under the same geometric conditions, we show that
the density of the solution is smooth and admits an upper sub-Gaussian bound.

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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys