2 papers
math.PR2022
On Tail Triviality of Negatively Dependent Stochastic Processes
Kasra Alishahi, Milad Barzegar, Mohammadsadegh Zamani
We prove that every negatively associated sequence of Bernoulli random variables with "summable covariances" has a trivial tail sigma-field. A corollary of this result is the tail…
math.PR2020
Paving Property for Real Stable Polynomials and Strongly Rayleigh Processes
Kasra Alishahi, Milad Barzegar
One of the equivalent formulations of the Kadison-Singer problem which was resolved in 2013 by Marcus, Spielman and Srivastava, is the "paving conjecture". Roughly speaking, the pa…