57 citations
- Universidad Nacional Autónoma de MéxicoMX10 papers
- All-Russian research Institute of metrological serviceRU1 paper
- Australian National UniversityAU1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Chinese Academy of SciencesCN1 paper
- Drake UniversityUS1 paper
- Institute of Modern PhysicsCN1 paper
- Instituto de Investigaciones EléctricasMX1 paper
- Laboratoire Paul PainlevéFR1 paper
- Nagoya UniversityJP1 paper
- Universidad de La RiojaES1 paper
- Universidade de VigoES1 paper
6 papers
Homogeneity of dynamically defined wild knots
Gabriela Hinojosa, Alberto Verjovsky
In this paper we prove that a wild knot which is the limit set of a Kleinian group acting conformally on the unit 3-sphere, with its standard metric, is homogeneous: given two…
Non-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets
Peter Makienko
Let be a rational map with totally disconnected Julia set If the postcritical set on contains a non-persistently recurrent (or conical) point, then we show…
The dynamics of coupled atom and field assisted by continuous external pumping
Gennadiy Burlak
The dynamics of a coupled system comprised of a two-level atom and cavity field assisted by continuous external classical field (driving Jaynes-Cummings model) is studied. When the…
Dimension filtration on loops
J. Mostovoy, J. M. Pérez-Izquierdo
We show that the graded group associated to the dimension filtration on a loop acquires the structure of a Sabinin algebra after being tensored with a field of characteristic zero.…
Milnor numbers and Euler obstruction
Jose Seade, Mihai Tibar, Alberto Verjovsky
We determine the relation between the local Euler obstruction of a holomorphic function and different generalizations of the Milnor number for functions on singular spac…
Global Euler obstruction and polar invariants
Jose Seade, Mihai Tibar, Alberto Verjovsky
For an affine complex algebraic singular space Y, we define a global Euler obstruction Eu(Y) which extends the Euler-Poincare characteristic of a nonsingular Y. Using Lefschetz pen…