Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity and irregularity of superprocesses with $(1+\beta)$-stable
  branching mechanism   We would like to give an overview of results on regularity, or better to say
"irregularity", properties of densities at fixed times of super-Brownian motion
with $(1+\beta)$-stable branching for $\beta<1$. First, the following dichotomy
for the density is shown: it is continuous in the dimension $d=1$ and locally
unbounded in all higher dimensions where it exists. Then in $d=1$ we determine
pointwise and local H\"older exponents of the density, and calculate the
multifractal spectrum corresponding to pointwise H\"older exponents.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex