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Phase Transitions in the Evolution of Partial Orders

✍ Scribed by Hans Jürgen Prömel; Angelika Steger; Anusch Taraz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
331 KB
Volume
94
Category
Article
ISSN
0097-3165

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✦ Synopsis

We determine the approximate number of partial orders with a fixed number of comparable pairs, give a complete description of the evolution of partial orders, and prove that infinitely many phase transitions occur. This answers questions posed by Dhar, Kleitman, and Rothschild 20 years ago.

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