Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusions on a space of interval partitions: The two-parameter model   We study interval partition diffusions with
Poisson--Dirichlet$(\alpha,\theta)$ stationary distribution for parameters
$\alpha\in(0,1)$ and $\theta\ge 0$. This extends previous work on the cases
$(\alpha,0)$ and $(\alpha,\alpha)$ and builds on our recent work on
measure-valued diffusions. We work on spaces of interval partitions with
$\alpha$-diversity. These processes can be viewed as diffusions on the boundary
of a branching graph of integer compositions. The additional order and
diversity structure of such interval partitions is essential for applications
to continuum random tree models such as stable CRTs and limit structures of
other regenerative tree growth processes, where intervals correspond to masses
of spinal subtrees (or spinal bushes) in spinal order and diversities give
distances between any two spinal branch points. We further show that our
processes can be extended to enter continuously from the Hausdorff completion
of our state space and that, in contrast to the measure-valued setting, these
extensions are Feller processes.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph