The iteration of random tessellations and a construction of a homogeneous process of cell divisions
2008 ◽
Vol 40
(01)
◽
pp. 49-59
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Keyword(s):
A random tessellation of ℝ d is said to be homogeneous if its distribution is invariant under all shifts of ℝ d . The iteration of homogeneous random tessellations is described in a new manner that makes it evident that the resulting random tessellation is homogeneous again. Furthermore, a tessellation-valued process is constructed, the random states of which are homogeneous random tessellations stable under iteration (STIT). It can be interpreted as a process of subsequent division of cells.
2008 ◽
Vol 40
(1)
◽
pp. 49-59
◽
Keyword(s):
1996 ◽
Vol 28
(02)
◽
pp. 338-339
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Keyword(s):
2010 ◽
Vol 42
(1)
◽
pp. 26-47
◽
2010 ◽
Vol 42
(01)
◽
pp. 26-47
◽
Keyword(s):
1970 ◽
Vol 28
◽
pp. 186-187
Keyword(s):