Generalization of waiting times model
Generalized distributions of order associated with success runs in Bernoulli trials.
Generating a random sink-free orientation in quadratic time.
Generating functions and the satisfiability threshold.
Geometric influences II: Correlation inequalities and noise sensitivity
In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as the KKL theorem, hold for the new definition in Gaussian space. In this paper we prove Gaussian analogues of two of the central applications of influences: Talagrand’s lower bound on the correlation of increasing subsets of the discrete cube, and the Benjamini–Kalai–Schramm (BKS) noise sensitivity theorem....
Graph-based upper bounds for the probability of the union of events.