Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic Coefficients and Generalized Multifractality of Whole-Plane
  SLE   We consider the whole-plane SLE conformal map f from the unit disk to the
slit plane, and show that its mixed moments, involving a power p of the
derivative modulus |f'| and a power q of the map |f| itself, have closed forms
along some integrability curves in the (p,q) moment plane, which depend
continuously on the SLE parameter kappa. The generalization of this
integrability property to the m-fold transform of f is also given. We define a
generalized integral means spectrum corresponding to the singular behavior of
the mixed moments above. By inversion, it allows for a unified description of
the unbounded interior and bounded exterior versions of whole-plane SLE, and of
their m-fold generalizations. The average generalized spectrum of whole-plane
SLE takes four possible forms, separated by five phase transition lines in the
moment plane, whereas the average generalized spectrum of the m-fold
whole-plane SLE is directly obtained from a linear map acting in that plane. We
also conjecture the form of the universal generalized integral means spectrum.

15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an