Extends Masur's divergence theorem to complex tori and Kummer surfaces.
arXiv research
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Positive definite matrices abound in a dazzling variety of applications. This ubiquity can be in part attributed to their rich geometric structure: positive definite matrices form a self-dual convex cone whose strict interior is a Riemannian manifold. The manifold view is endowed with a "natural" distance function whil…
Paper proves a rigidity result for static perfect fluids.
Unified framework improves neural network robustness against label noise and adversarial attacks.
This paper contains two main results. The first is the existence of an equivariant Weil-Petersson geodesic in Teichmueller space for any choice of pseudo-Anosov mapping class. As a consequence one obtains a classification of the elements of the mapping class group as Weil-Petersson isometries which is parallel to the T…
SGDm with fixed step-size diverges under covariate shift, similar to a parametric oscillator.
Develops regularity theory for Beckmann's optimal transport problem.
In this paper, we search whether the Benford's law is applicable to monitor daily changes in sovereign Credit Default Swaps (CDS) quotes, which are acknowledged to be complex systems of economic content. This test is of paramount importance since the CDS of a country proxy its health and probability to default, being a…