Let $m_t$ and $v_t$ be two periodic real sequences. Assume that for some constant $a$, it holds that
$m_t/a+v_t$ is periodic with fundamental period $k>0$. Is $m_t/b+v_t$ also $k$-periodic for any real number $b$? Moreover, is there any condition such that $k$ becomes its fundamental period?
In graph theory and statistics, a graphon (also known as a graph limit) is a symmetric measurable function
W
:
[
0
,
1
]
2
→
[
0
,
1
]
{\displaystyle W:[0,1]^{2}\to [0,1]}
, that is important in the study of dense graphs. Graphons arise both as a natural notion for the limit of a sequence of dense graphs, and as the fundamental defining objects of exchangeable random graph models. Graphons are tied to dense...
0
Consider the random graph generating process from a graphon.
A random graph model is an exchangeable random graph model if and only if it can be defined in terms of a (possibly random) graphon.
It follows from this definition and the law of large numbers that, if
$W\ne0$, exchangeable random g...
May 29 '18 at 1:13, by Martin Sleziak
0
