From the 1 of 10 linked papers with an AI index.
10 papers
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 hyperbolic toral automorphisms by evaluating Nielsen automorphisms of the free gro…
Holomorphic Linear $\C^k$-Actions, Trace Foliations, and Higher-Rank Poincaré Dynamics
Aubin Arroyo, Carlos Cabrera, José Seade +1
We study the orbit decomposition on $\C^n$ generated by diagonal holomorphic $\C^k$-actions in the higher-rank setting of the classical Poincaré--Siegel dichotomy for linear vecto…
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…
Adelic Loop Groups and Perfectoid Analogies: Factorization and Holomorphic Bundles on the Adelic Projective Line
Alberto Verjovsky
The paper builds a theory of adelic loop groups on a universal solenoid, introduces an adelic projective line with holomorphic vector bundles, and proves factorization and splittin…
A Constructive Cubical Realization of -Dimensional Smooth Knots Inside the Menger -continuum
Juan Pablo DÃaz, Gabriela Hinojosa, Alberto Verjovsky
We prove that every smooth -dimensional knot in can be ambiently isotoped into the Menger -dimensional continuum. In contrast with classical embedding theo…
Mostow rigidity for skew solenoidal manifolds
Fernando Alcalde Cuesta, Matilde MartÃnez, Alberto Verjovsky
We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension endowed with a completely invariant measure of full support. These…