Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimate of observable diameter of $l_p$-product spaces   We estimate the observable diameter of the $l_p$-product space $X^n$ of an
mm-space $X$ by using the limit formula in our previous paper. The idea of our
proof is based on Gromov's book. As a corollary we obtain the phase transition
property of $\{X^n\}_{n=1}^\infty$ under a discreteness condition.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn