Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multifractal boundary spectrum for SLE$_\kappa(\rho)$   We study SLE$_\kappa(\rho)$ curves, with $\kappa$ and $\rho$ chosen so that
the curves hit the boundary. More precisely, we study the sets on which the
curves collide with the boundary at a prescribed "angle" and determine the
almost sure Hausdorff dimension of these sets. This is done by studying the
moments of the spatial derivatives of the conformal maps $g_t$, by employing
the Girsanov theorem and using imaginary geometry techniques to derive a
correlation estimate.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg