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Ulam's redistribution of energy problem: Collision transformations

โœ Scribed by David Blackwell; R. Daniel Mauldin

Book ID
104756657
Publisher
Springer
Year
1985
Tongue
English
Weight
170 KB
Volume
10
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

Ulam conjectured that for each gwen law of redistribution of energy, D, there corresponds a limiting distribution, C(D), the 'collision transform' of the given law such that ifX is an initial distribution of energy, then the distributions of the iterates of X under redistribution, converge to C(D). We give examples of this behaviour and prove that Ulam's conjecture is correct in case all moments of X exists.

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