Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on the intersection of SLE$_{\kappa}(\rho)$ curve with the real
  line   SLE$_{\kappa}(\rho)$ is a variant of SLE$_{\kappa}$ where $\rho$
characterizes the repulsion (if $\rho>0$) or attraction $(\rho<0)$ from the
boundary. This paper examines the probabilities of SLE$_{\kappa}(\rho)$ to get
close to the boundary. We show how close the chordal SLE$_{\kappa}(\rho)$
curves get to the boundary asymptotically, and provide an estimate for the
probability that the SLE$_{\kappa}(\rho)$ curve hits graph of functions. These
generalize the similar result derived by Schramm and Zhou for standard
SLE$_{\kappa}$ curves.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int