31 citations · 61 across the 50 of their papers we have counts for
60 papers
Cannon-Thurston Maps, Harmonic Maps, and Minimal Surfaces in Fibered Hyperbolic 3-Manifolds
Alberto Verjovsky
Let be the closed hyperbolic --manifold which is the mapping torus of a pseudo-Anosov homeomorphism of a closed surface of genus at least two. The inclusion of the…
Brownian Loops, Singular Homology, and Asymptotic Cycles
Alberto Verjovsky, Ricardo F. Vila-Freyer
Let be a closed connected Riemannian manifold. A continuous semimartingale segment can be closed by a Borel family of paths of uniformly bounded length, producing a singular ho…
Quaternionic LVM Manifolds
Alberto Verjovsky
An admissible configuration $Λ\subset\Hh^m\simeq\Rr^{4m}$ defines a compact intersection of quadrics $Z_{\Hh}(Λ)$ and a free diagonal $\Sp(1)$ quotient $N_{\Hh}(Λ)$. We realize thi…
How Random Is the Möbius Function? Smoothing, Probability, and the Riemann Hypothesis
Alberto Verjovsky
This article is primarily expository, but it also contains several new observations and reformulations concerning the Möbius function, probabilistic models, dynamical systems, and…
Peels of Equilateral Triangulated Surfaces
Alberto Verjovsky
This paper studies the modularity problem for elliptic curves from the elementary geometry of peels of decorated equilateral triangulations. A peel is a finite developing domain to…
Quaternionic Extensions of Hyperbolic Toral Automorphisms
Alberto Verjovsky
We construct real-analytic diffeomorphisms of \(S^3\times S^3\cong \SU(2)\times\SU(2)\) that lift We study real-analytic word maps of \(S^3\times S^3\cong \SU(2)\times\SU(2)\) obta…