We end this paper with a list of examples and non-examples of lattices in Banach spaces.

Zwegers suggested holomorphic projection of scalar-valued functions as a tool to investigate mock modular forms, and he applied this idea in his recent joint work [ARZ13]. In this Section, we extend Zwegers’s suggestion to vector-valued forms. More …

We studied the space of adversarial examples in malware classification by evaluating twelve attacks and four defenses on different datasets. Our experiments show that attacks work reliably and it is relatively easy and straightforward to create adve…

We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$ linear forms in $n$ variables, and establish a new connection to the metric theory via a variationa…

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces …

This section is devoted to showing that Rn⋊G(n) is an algebraically determined Polish group, thereby proving Theorem 1. This is done by verifyng the hypotheses of Theorem 2.