Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reflections at infinity of time changed RBMs on a domain with Liouville
  branches   Let $Z$ be the transient reflecting Brownian motion on the closure of an
unbounded domain $D\subset {\mathbb R}^d$ with $N$ number of Liouville
branches. We consider a diffusion $X$ on $\overline D$ having finite lifetime
obtained from $Z$ by a time change. We show that $X$ admits only a finite
number of possible symmetric conservative diffusion extensions $Y$ beyond its
lifetime characterized by possible partitions of the collection of $N$ ends and
we identify the family of the extended Dirichlet spaces of all $Y$ (which are
independent of time change used) as subspaces of the space ${\rm BL}(D)$
spanned by the extended Sobolev space $H_e^1(D)$ and the approaching
probabilities of $Z$ to the ends of Liouville branches.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph