1 citations · 1 across the 2 of their papers we have counts for
7 papers
Quantum network reliability with perfect nodes
Juan M. Burgos
We introduce the concept of quantum reliability as an extension of the concept of network reliability in the context of quantum networks. We show that this concept is intimately re…
Negami's like splitting formula for the Jones polynomial
Juan M. Burgos
Negami's splitting formula cannot be directly applied to get a Jones polynomial splitting formula for the contraction of certain planar graphs in the decomposition become non plana…
Adelic solenoid II: Ahlfors-Bers theory
Juan M. Burgos, Alberto Verjovsky
We generalize the Ahlfors-Bers theory to the adelic Riemann sphere. In particular, after defining the appropriate notion of a Beltrami differential in the solenoidal context, we gi…
On the Lyapunov instability in Newtonian dynamics
Juan Manuel Burgos, Ezequiel Maderna, Miguel Paternain
We prove Lyapunov instability for cases in which the local minimum of the potential energy is reached on a hypersurface of the configuration space. In contrast to the known results…
Teichmüller theory of the universal hyperbolic lamination
Juan Manuel Burgos, Alberto Verjovsky
We construct an Ahlfors-Bers complex analytic model for the Teichmüller space of the universal hyperbolic lamination (also known as Sullivan's Teichmüller space) and the renormaliz…
On the Khovanov Homology of Surgeries
Juan Manuel Burgos
We show a spectral sequence for the rational Khovanov homology of an oriented link in terms of the rational Khovanov complexes and homologies of the link surgeries along an admissi…