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Moderate deviations for the range of planar random walks

About this Title

Richard F. Bass, Xia Chen and Jay Rosen

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 198, Number 929
ISBNs: 978-0-8218-4287-4 (print); 978-1-4704-0535-9 (online)
MathSciNet review: 2493313
MSC: Primary 60F10; Secondary 60G50, 60J55

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Table of Contents


  • Chapter 1. Introduction
  • Chapter 2. History
  • Chapter 3. Overview
  • Chapter 4. Preliminaries
  • Chapter 5. Moments of the range
  • Chapter 6. Moderate deviations for $R_n - \mathbb {E}R_n$
  • Chapter 7. Moderate deviations for $\mathbb {E}R_n - R_n$
  • Chapter 8. Exponential asymptotics for the smoothed range
  • Chapter 9. Exponential approximation
  • Chapter 10. Laws of the iterated logarithm