Inevitable randomness in discrete mathematics / József Beck.

Format:

Book

Author/Creator:

Beck, József.

Series:

University lecture series (Providence, R.I.) ; 49.

University Lecture Series, v. 49

Language:

English

Subjects (All):

Game theory.

Random measures.

Physical Description:

1 online resource (xi, 250 p. : ill.)

Place of Publication:

Providence, R.I. : American Mathematical Society, c2009.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Complex systems Chapter 2. Collecting data: Apparent randomness of digit sequences Chapter 3. Collecting data: More randomness in number theory Chapter 4. Laplace and the principle of insufficient reason Chapter 5. Collecting proofs for the SLG conjecture Chapter 6. Ramsey theory and games Chapter 7. Practice session (I): More on Ramsey games and strategies Chapter 8. Practice session (II): Connectivity games and more strategies Chapter 9. What kind of games? Chapter 10. Exact solutions of games: Understanding via the equiprobability postulate Chapter 11. Equiprobability postulate with constraints (endgame policy) Chapter 12. Constraints and threshold clustering Chapter 13. Threshold clustering and a few bold conjectures Chapter 14. Yet another simplification: Sparse hypergraphs and the surplus Chapter 15. Is surplus the right concept? (I) Chapter 16. Is surplus the right concept? (II) Chapter 17. Working with a game-theoretic partition function Chapter 18. An attempt to save the variance Chapter 19. Proof of theorem 1: Combining the variance with an exponential sum Chapter 20. Proof of theoem 2: The upper bound Chapter 21. Conclusion (I): More on theorem 1 Chapter 22. Conclusion (II): Beyond the SLG conjecture

Notes:

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Beck, József. Inevitable randomness in discrete mathematics /

ISBN:

9781470416447 (online)

Access Restriction:

Restricted for use by site license.