Elemental Methods in Ergodic Ramsey Theory

Randall McCutcheon (Autor)

Buch | Softcover

VI, 166 Seiten

1999 | 1999
Springer Berlin (Verlag)
978-3-540-66809-1 (ISBN)

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This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. More importantly, the presentation strives to reflect the extent to which the field has been streamlined since breaking onto the scene around twenty years ago. Potential readers who were previously intrigued by the subject matter but found it daunting may want to give a second look.

Ramsey theory and topological dynamics.- Infinitary Ramsey theory.- Density Ramsey theory.- Three ergodic roth theorems.- Two Szemerédi theorems.

Erscheint lt. Verlag	15.12.1999
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 166 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	222 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Boundary element method • combinatorics • Ergodentheorie • ergodic theory • Field • presentation • Ramsey theory • Theorem • Topological Dynamics
ISBN-10	3-540-66809-8 / 3540668098
ISBN-13	978-3-540-66809-1 / 9783540668091
Zustand	Neuware