Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Random Time Changes on Loewner Hulls   Loewner hulls are determined by their real-valued driving functions. We study
the geometric effect on the Loewner hulls when the driving function is composed
with a random time change, such as the inverse of an $\alpha$-stable
subordinator. In contrast to SLE, we show that for a large class of random time
changes, the time-changed Brownian motion process does not generate a simple
curve. Further we develop criteria which can be applied in many situations to
determine whether the Loewner hull generated by a time-changed driving function
is simple or non-simple. To aid our analysis of an example with a time-changed
deterministic driving function, we prove a deterministic result that a driving
function that moves faster than $at^r$ for $r \in (0,1/2)$ generates a hull
that leaves the real line tangentially.

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The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga