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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements III: Disconnection probabilities for random interlacements
随机交错 大偏差 随机交错 断开概率
2023/5/8
In this lecture, I will discuss how ``tilted interlacements’’ and ``solidification of porous surfaces’’, two specific realizations of the change-of-measure and coarse graining ideas respectively, prod...
Large deviations for zeros of $P(\phi)_2$ random polynomials
Large deviations zeros $P(\phi)_2$ random polynomials
2010/12/13
We extend the results of [ZZ] on LDP’s (large deviations principles) for the empirical measures Zs := 1 N X :s()=0 , (N := #{ : s() = 0)} of zeros of Gaussian random polynomials s in one variab...
Large deviations for renewal processes
Large Deviations Renewal Process Cumulative Process
2010/12/6
We investigate large deviations for the empirical measure of the forward and backward recurrence time processes associated with a classical renewal process with arbitrary waiting-time distribution. Th...
Large deviations of the empirical currents for a boundary driven reaction diffusion model
Large deviations Interacting particle system
2010/11/29
We derive a large deviation principle for the empirical currents of lattice gas dynamics which combine a fast stirring mechanism (Symmetric Simple Exclusion Process) and creation/annihilation mechanis...
Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails
negatively associated dominatedly varying tail precise large deviation
2007/12/12
In this paper, we obtain results on precise large deviations for non-random and random sums of negatively associated nonnegative random variables with common dominatedly varying tail distribution func...