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Phase transitions of iterated Higman-style well-partial-orderings

✍ Scribed by Lev Gordeev; Andreas Weiermann

Book ID
105842467
Publisher
Springer
Year
2011
Tongue
English
Weight
422 KB
Volume
51
Category
Article
ISSN
0933-5846

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📜 SIMILAR VOLUMES

Phase Transitions in the Evolution of Pa
Phase Transitions in the Evolution of Partial Orders
✍ Hans Jürgen Prömel; Angelika Steger; Anusch Taraz 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 331 KB

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.