- A Variant of Azuma’s Inequality for Martingales with Subgaussian Tails(arXiv)
Creator : Ohad Shamir
Abstract : We provide a variant of Azuma’s focus inequality for martingales, throughout which the same old boundedness requirement is modified by the milder requirement of a subgaussian tail.
2. On the Banach home valued Azuma inequality and small set isoperimetry of Alon-Roichman graphs(arXiv)
Creator : Assaf Naor
Abstract : We deal with the connection between the expansion of small models in graphs, and the Schatten norms of their adjacency matrix. Alongside facet a variant of the Azuma inequality for uniformly straightforward normed areas, we deduce improved bounds on the small set isoperimetry of Abelian Alon-Roichman random Cayley graphs.