Irregularities of Partitions / edited by Gábor Halász, Vera T. Sós
(Algorithms and Combinatorics 8, Study and Research Texts ; 8)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg , 1989 |
| 本文言語 | 英語 |
| 大きさ | VII, 165 p : online resource |
書誌詳細を非表示
| 内容注記 | 1. Irregularities of Point Distribution Relative to Convex Polygons 2. Balancing Matrices with Line Shifts II 3. A Few Remarks on Orientation of Graphs and Ramsey Theory 4. On a Conjecture of Roth and Some Related Problems I 5. Discrepancy of Sequences in Discrete Spaces 6. On the Distribution of Monochromatic Configurations 7. Covering Complete Graphs by Monochromatic Paths 8. Canonical Partition Behavior of Cantor Spaces 9. Extremal Problems for Discrepancy 10. Spectral Studies of Automata 11. A Diophantine Problem 12. A Note on Boolean Dimension of Posets 13. Intersection Properties and Extremal Problems for Set Systems 14. On an Imbalance Problem in the Theory of Point Distribution 15. Problems |
|---|---|
| 一般注記 | The problem of uniform distribution of sequences initiated by Hardy, Little wood and Weyl in the 1910's has now become an important part of number theory. This is also true, in relation to combinatorics, of what is called Ramsey theory, a theory of about the same age going back to Schur. Both concern the distribution of sequences of elements in certain collection of subsets. But it was not known until quite recently that the two are closely interweaving bear ing fruits for both. At the same time other fields of mathematics, such as ergodic theory, geometry, information theory, algorithm theory etc. have also joined in. (See the survey articles: V. T. S6s: Irregularities of partitions, Lec ture Notes Series 82, London Math. Soc. , Surveys in Combinatorics, 1983, or J. Beck: Irregularities of distributions and combinatorics, Lecture Notes Series 103, London Math. Soc. , Surveys in Combinatorics, 1985. ) The meeting held at Fertod, Hungary from the 7th to 11th of July, 1986 was to emphasize this development by bringing together a few people working on different aspects of this circle of problems. Although combinatorics formed the biggest contingent (see papers 2, 3, 6, 7, 13) some number theoretic and analytic aspects (see papers 4, 10, 11, 14) generalization of both (5, 8, 9, 12) as well as irregularities of distribution in the geometric theory of numbers (1), the most important instrument in bringing about the above combination of ideas are also represented |
| 著者標目 | Halász, Gábor editor Sós, Vera T. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Geometry LCSH:Number theory LCSH:Combinatorics FREE:Mathematics FREE:Number Theory FREE:Combinatorics FREE:Geometry |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9783642613241 
|
| ISBN | 9783642613241 |
| URL | http://dx.doi.org/10.1007/978-3-642-61324-1 |
目次／あらすじ