Some Problems and Ideas of Erdős in Analysis and Geometry
Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 25)
I review a meager few of the many problems and ideas Erdős proposed over the years involving a mixture of measure theory, geometry, and set theory.
KeywordsKolmogorov Complexity Conformal Measure Constructive Dimension Steiner Symmetrization Additive Number Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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- H. T. Croft, K. J. Falconer, Richard K. Guy, Unsolved problems in geometry, Springer-Verlag, Berlin, 1994.Google Scholar
- R. G. Downey and D. R. Hirschfeldt, Algorithmic randomness and complexity, Theory and Applications of Computability, Springer, New York, 2010.Google Scholar
- P. Erdős, My Scottish Book Problems, in: The Scottish Book, Mathematics from the Scottish Café. Edited by R. Daniel Mauldin, Birkhäuser, Boston, Mass., 1981.Google Scholar
- P. Erdős, Some combinatorial, geometric and set theoretic problems in measure theory, in Measure Theory, Oberwolfach 1983, Lecture Notes in Mathematics 1089, Springer-Verlag (1984).Google Scholar
- K. J. Falconer, The geometry of fractal sets, Cambridge Tracts in Mathematics, vol. 85, Cambridge university press, Cambridge, 1986.Google Scholar
- P. D. Humke, M. Laczkovich, Transference of Density, preprint, 2012.Google Scholar
- D. Khoshnevisan, Probability, Graduate Studies in Mathematics, AMS, 2007.Google Scholar
- Ming Li and Paul Vitanyi, An introduction to Kolmogorov complexity and its applications, third ed., Texts in Computer Science, Springer, New York, 2008.Google Scholar
- R. D. Mauldin, Some problems in set theory, analysis and geometry, in Paul Erdős and his Mathematics I, 493–505, Springer, 2002.Google Scholar
- Roger Webster, Convexity, Oxford University Press, 1994.Google Scholar
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