- A Variant of Azuma’s Inequality for Martingales with Subgaussian Tails(arXiv)
Creator : Ohad Shamir
Summary : We offer a variant of Azuma’s focus inequality for martingales, during which the usual boundedness requirement is changed by the milder requirement of a subgaussian tail.
2. On the Banach house valued Azuma inequality and small set isoperimetry of Alon-Roichman graphs(arXiv)
Creator : Assaf Naor
Summary : We focus on the connection between the growth of small units in graphs, and the Schatten norms of their adjacency matrix. Along side a variant of the Azuma inequality for uniformly easy normed areas, we deduce improved bounds on the small set isoperimetry of Abelian Alon-Roichman random Cayley graphs.
