Société de Calcul Mathématique, SA
Mathematical Modelling Company, Corp.
Decision-making tools, since 1995



Our working program:

Simple Random Walks


by Bernard Beauzamy

Last updated: August 13, 2018

 

  • Description of the program

    This is a research program which intends to provide a better understanding of deep properties of random walks in the plane, and in particular Khinchin's law of the iterated logarithm. We wish to provide quantitative estimates, and not just existence theorems. Our approach is "energy based", which means that it relies upon a description in terms of propagation of energy, fundamentally different from existing approaches. The tools which are used are derived from Operator Theory and classical Analysis (in particular Chebyshev's polynomials).

    The research program includes articles, usually in preprint format, but also investigation tools, usually in Excel format (VBA programming). Comments are welcome and should be sent to bernard.beauzamy@scmsa.com.

  • Existing documents



Mathematics aim at understanding the laws of Nature; these laws are due to Satan.



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