Elemental Methods in Ergodic Ramsey Theory - Randall McCutcheon

Elemental Methods in Ergodic Ramsey Theory

Buch | Softcover
VI, 166 Seiten
1999 | 1999
Springer Berlin (Verlag)
978-3-540-66809-1 (ISBN)
40,65 inkl. MwSt
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
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