 | Moderate deviations for the range of planar random walks / Bass R.F., Chen X., Rosen J. - Providence: AMS, 2009. - vii, 82 p.: ill. - (Memoirs of the American Mathematical Society; Vol.198, N 929) - ISBN 978-0-8218-4287-4; ISSN 0065-9266
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Abstract ...................................................... vii
Chapter 1. Introduction ......................................... 1
Chapter 2. History .............................................. 5
Chapter 3. Overview ............................................. 9
Chapter 4. Preliminaries ....................................... 13
Chapter 5. Moments of the range ................................ 21
Chapter 6. Moderate deviations for Rn - E, Rn ................... 33
Chapter 7. Moderate deviations for ERn - Rn ..................... 41
Chapter 8. Exponential asymptotics for the smoothed range ...... 53
Chapter 9. Exponential approximation ........................... 65
Chapter 10.Laws of the iterated logarithm ...................... 73
Bibliography ................................................... 81
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