Concentration of non-Lipschitz functions and applications

  • Authors:
  • V. H. Vu

  • Affiliations:
  • Department of Mathematics, University of California at San Diego, La Jolla, California

  • Venue:
  • Random Structures & Algorithms - Probabilistic methods in combinatorial optimization
  • Year:
  • 2002

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Abstract

Strong concentration results play a fundamental role in probabilistic combinatorics and theoretical computer science. In this paper, we present several new concentration results developed recently by the author and collaborators. To illustrate the power of these new results, we discuss applications in many different areas of mathematics, from combinatorial number theory to the theory of random graphs.