Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The exponential family of Markov chains and its information geometry   We introduce a new definition of exponential family of Markov chains, and
show that many characteristic properties of the usual exponential family of
probability distributions are properly extended to Markov chains. The method of
information geometry is effectively applied to our framework, which enables us
to characterize the divergence rate of Markov chain from a differential
geometric viewpoint.

24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th