Alvaro Alvarez-Parrilla

activity

20182026

most citedDynamics of singular complex analytic vector fields with essential singularities II

5 citations · 11 across the 7 of their papers we have counts for

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math.DS2019★ 5 cited

Dynamics of singular complex analytic vector fields with essential singularities II

Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo

The singular complex analytic vector fields $X$ on the Riemann sphere $C_{z}$ belonging to the family ${\mathscr E}(r,d)=\left\{ X(z)=\frac{1}{P(z)} e^{E(z)}\frac{\…

math.DS2019★ 1 cited

Symmetries of complex analytic vector fields with an essential singularity on the Riemann sphere

Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo

We consider the family $E (s, r, d) = {X (z) = \frac{Q ( z )}{P ( z )} e^{E (z)} \frac{\partial}{\partial z}},$ with $Q, P, E$ polynomials, deg $Q = s$ , deg $(P) = r$ and deg$(…

math.DS2018★ 2 cited

On the geometry, flows and visualization of singular complex analytic vector fields on Riemann surfaces

Alvaro Alvarez-Parrilla, Jesús Muciño-Raymundo, Selene Solorza-Calderón +1

Motivated by the wild behavior of isolated essential singularities in complex analysis, we study singular complex analytic vector fields $X$ on arbitrary Riemann surfaces $M$ . By v…