Critical large deviations of one-dimensional annealed Brownian motion in a Poissonian potential
نویسندگان
چکیده
منابع مشابه
Large Deviations for the Three Dimensional Super-brownian Motion
Let t (dx) denote a three dimensional super-Brownian motion with deterministic initial state 0 (dx) = dx, the Lebesgue measure. Let V : R 3 7 ! R be HH older continuous with compact support, not identically zero and such that Z R 3 V (x)dx = 0. We show that log P Z t 0 Z R 3 V (x) s (dx)ds > bt 3=4 is of order t 1=2 as t ! 1, for b > 0. This should be compared with the known result for the case...
متن کاملOccupation Time Large Deviations for Critical Branching Brownian Motion, Super-brownian Motion and Related Processes
We derive a large deviation principle for the occupation time functional, acting on functions with zero Lebesgue integral, for both superBrownian motion and critical branching Brownian motion in three dimensions. Our technique, based on a moment formula of Dynkin, allows us to compute the exact rate functions, which differ for the two processes. Obtaining the exact rate function for the super-B...
متن کاملQuenched, Annealed and Functional Large Deviations for One-Dimensional Random Walk in Random Environment
Suppose that the integers are assigned random variables f! i g (taking values in the unit interval), which serve as an environment. This environment deenes a random walk fX n g (called a RWRE) which, when at i, moves one step to the right with probability ! i , and one step to the left with probability 1 ? ! i. When the f! i g sequence is i.i.d., Greven and den Hollander (1994) proved a large d...
متن کاملBranching Brownian Motion with “mild” Poissonian Obstacles
We study a spatial branching model, where the underlying motion is Brownian motion and the branching is affected by a random collection of reproduction blocking sets called mild obstacles. We show that the quenched local growth rate is given by the branching rate in the ‘free’ region . When the underlying motion is an arbitrary diffusion process, we obtain a dichotomy for the local growth that ...
متن کاملLarge deviations for local time fractional Brownian motion and applications
Article history: Received 19 December 2007 Available online 9 June 2008 Submitted by M. Ledoux
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1997
ISSN: 0091-1798
DOI: 10.1214/aop/1023481109