no code implementations • 18 Jan 2021 • Günter Last, Giovanni Peccati, D. Yogeshwaran
In this article, we prove intrinsic versions of the OSSS and Schramm-Steif inequalities for functionals of a general Poisson process, and apply these new estimates to deduce sufficient conditions - expressed in terms of randomized stopping sets - yielding sharp phase transitions, quantitative noise sensitivity, exceptional times and bounds on critical windows for monotonic Boolean Poisson functions.
Probability Mathematical Physics Combinatorics Mathematical Physics 60D05, 60G55, 68W20, 60J25, 60H99, 82B43
