Irregularities of Partitions

Includes bibliographical references

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

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.