Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Gap for Measure-Valued Diffusion Processes   The spectral gap is estimated for measure-valued diffusion processes induced
by the intrinsic/extrinsic derivatives on the space of finite measures over a
Riemannian manifold. This provides explicit exponential convergence rate for
these processes to approximate the Dirichlet and Gamma distributions arising
from population genetics.

32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th