Erd¿<U+0018>s Centennial

• Corporate Author: SpringerLink (Online service)
• Other Authors: Lov©Łsz, L©Łszl©đ. (Editor), Ruzsa, Imre Z. (Editor), S©đs, Vera T. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Bolyai Society Mathematical Studies, 25
• Subjects: Mathematics.; Mathematical logic.; Number theory.; Probabilities.; Combinatorics.; Number Theory.; Probability Theory and Stochastic Processes.; Mathematical Logic and Formal Languages.
• Online Access: View fulltext via EzAccess

Paul Erd©œs was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his wo...

Table of Contents:

• Contents
• Preface
• Alon, N.: Paul Erd©œs and Probabilistic Reasoning
• Benjamini, I.: Euclidean vs. Graph Metric
• Bollobas, B. and Riordan, O.: The Phase Transition in the Erd©œsỚ<U+001c>R©♭nyi Random Graph Process
• Bourgain, J.: Around the Sum-product Phenomenon
• Breuillard, E., Green, B. and Tao, T.: Small Doubling in Groups
• Diamond, H. G.: Erd©œs and Multiplicative Number Theory
• F©ơredi, Z. and Simonovits, M.: The History of Degenerate (Bipartite) Extremal Graph Problems
• Gowers, W. T.: Erd©œs and Arithmetic Progressions
• Graham, R. L.: Paul Erd©œs and Egyptian Fractions
• Gy©œry, K.: Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions
• Komj©Łth, P.: Erd©œsỚ"s Work on Infinite Graphs
• Kunen, K.: The Impact of Paul Erd<U+00cb><U+00fd>os on Set Theory
• Mauldin, R. D.: Some Problems and Ideas of Erd©œs in Analysis and Geometry
• Montgomery, H. L.: L2 Majorant Principles
• Nesetril, J.: A Combinatorial Classic Ớ<U+001c> Sparse Graphs with High Chromatic Number
• Nguyen, H. H. and Vu, V. H.: Small Ball Probability, Inverse Theorems, and Applications
• Pach, J.: The Beginnings of Geometric Graph Theory
• Pintz, J.: Paul Erd©œs and the Difference of Primes
• Pollack, P. and Pomerance, C.: Paul Erd©œs and the Rise of Statistical Thinking in Elementary Number Theory
• R©œdl, V. and Schacht, M.: Extremal Results in Random Graphs.-Schinzel, A.: Erd©œsỚ"s Work on the Sum of Divisors Function and on EulerỚ"s Function
• Shalev, A.: Some Results and Problems in the Theory of Word Maps
• Tenenbaum, G.: Some of Erd©œsỚ" Unconventional Problems in Number Theory, Thirty-four Years Later
• Totik, V.: Erd©œs on Polynomials
• Vertesi, P.: Paul Erd©œs and Interpolation: Problems, Results, New Developments.