Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-Order Theory for Iteration Stable Tessellations   This paper deals with iteration stable (STIT) tessellations, and, more
generally, with a certain class of tessellations that are infinitely divisible
with respect to iteration. They form a new, rich and flexible class of
spatio-temporal models considered in stochastic geometry. The martingale tools
developed in \cite{STP1} are used to study second-order properties of STIT
tessellations. Firstly, a general formula for the variance of the total surface
area of cell boundaries inside a convex observation window is shown. This
general expression is combined with tools from integral geometry to derive
explicit exact and asymptotic second-order formulae in the stationary and
isotropic set-up, where a family of chord-power integrals plays an important
role. Also a general formula for the pair-correlation function of the surface
measure is found.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom