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Book Review

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Book Information:

Author: M. Talagrand
Title: Upper and lower bounds for stochastic processes
Additional book information: Modern methods and classical problems, Ergebnisse der Mathematik und iher Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas, 3rd Series of Modern Surveys in Mathematics], Vol. 60, Springer, Heidelberg, 2014, xvi+626 pp., ISBN 978-3-642-54074-5/978-3-642-54075-2, US $149.00

References [Enhancements On Off] (What's this?)

  • [1] Witold Bednorz and Rafał Latała, On the suprema of Bernoulli processes, C. R. Math. Acad. Sci. Paris 351 (2013), no. 3-4, 131-134 (English, with English and French summaries). MR 3038002, https://doi.org/10.1016/j.crma.2013.02.013
  • [2] Witold Bednorz and Rafał Latała, On the boundedness of Bernoulli processes, Ann. of Math. (2) 180 (2014), no. 3, 1167-1203. MR 3245015, https://doi.org/10.4007/annals.2014.180.3.8
  • [3] Hardy, G. H. Some Famous Problems of the Theory of Numbers. Clarendon Press, 1920.
  • [4] Gregory F. Lawler and Vlada Limic, Random walk: a modern introduction, Cambridge Studies in Advanced Mathematics, vol. 123, Cambridge University Press, Cambridge, 2010. MR 2677157 (2012a:60132)
  • [5] Paul Turán, On a Theorem of Hardy and Ramanujan, J. London Math. Soc. S1-9, no. 4, 274. MR 1574877, https://doi.org/10.1112/jlms/s1-9.4.274
  • [6] Noga Alon and Joel H. Spencer, The probabilistic method, 3rd ed., Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, Inc., Hoboken, NJ, 2008. MR 2437651 (2009j:60004)

Review Information:

Reviewer: Antonio Auffinger
Affiliation: Mathematics Department Northwestern University 2033 Sheridan Road Evanston, Illinois 60208
Email: auffing@math.northwestern.edu
Journal: Bull. Amer. Math. Soc. 53 (2016), 173-177
MSC (2010): Primary 60-01, 60G05, 60G70
DOI: https://doi.org/10.1090/bull/1511
Published electronically: August 26, 2015
Review copyright: © Copyright 2015 American Mathematical Society
American Mathematical Society