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Simplicity v/s Complexity in the Framework of Geometric Asymptotic Analysis and Some New Applications of the Concentration Phenomenon

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Abstract.

We introduce a concept of Simplicity which in a sense corresponds to the reverse direction to the concept of Complexity. Many problems of Asymptotic Geometric Analysis rotate around this notion. We also describe the concept of Concentration and suggest a new direction of possible applications of the Concentration Phenomenon.

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Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    V. D. Milman

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  1. V. D. Milman
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Correspondence to V. D. Milman.

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Lecture held in the Seminario Matematico e Fisico on May 12, 2005

Received: April 2006

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Milman, V.D. Simplicity v/s Complexity in the Framework of Geometric Asymptotic Analysis and Some New Applications of the Concentration Phenomenon. Milan j. math. 74, 199–211 (2006). https://doi.org/10.1007/s00032-006-0054-4

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  • DOI: https://doi.org/10.1007/s00032-006-0054-4

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