Book Review
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MathSciNet review:
3443030
Full text of 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
Witold Bednorz and RafałLatała, 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, DOI 10.1016/j.crma.2013.02.013
Witold Bednorz and RafałLatała, On the boundedness of Bernoulli processes, Ann. of Math. (2) 180 (2014), no. 3, 1167–1203. MR 3245015, DOI 10.4007/annals.2014.180.3.8
Hardy, G. H. Some Famous Problems of the Theory of Numbers. Clarendon Press, 1920.
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, DOI 10.1017/CBO9780511750854
Paul Turán, On a Theorem of Hardy and Ramanujan, J. London Math. Soc. 9 (1934), no. 4, 274–276. MR 1574877, DOI 10.1112/jlms/s1-9.4.274
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. With an appendix on the life and work of Paul Erdős. MR 2437651, DOI 10.1002/9780470277331
References
- 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, DOI 10.1016/j.crma.2013.02.013
- Witold Bednorz and Rafał Latała, On the boundedness of Bernoulli processes, Ann. of Math. (2) 180 (2014), no. 3, 1167–1203. MR 3245015, DOI 10.4007/annals.2014.180.3.8
- Hardy, G. H. Some Famous Problems of the Theory of Numbers. Clarendon Press, 1920.
- 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), DOI 10.1017/CBO9780511750854
- Paul Turán, On a Theorem of Hardy and Ramanujan, J. London Math. Soc. S1-9, no. 4, 274. MR 1574877, DOI 10.1112/jlms/s1-9.4.274
- 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), DOI 10.1002/9780470277331
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
DOI:
https://doi.org/10.1090/bull/1511
Published electronically:
August 26, 2015
Review copyright:
© Copyright 2015
American Mathematical Society