18 citations · 65 across the 24 of their papers we have counts for
25 papers
Effect of antibiotic spectrum on the abundance of resistant bacteria in multispecies communities
Magnus Aspenberg, Erik Andreas Martens, Kristofer Wollein Waldetoft
Antibiotic resistance is a major threat to global health. It emerges in multispecies microbial communities under antibiotic exposure. This makes antibiotic spectrum -- a drug's dis…
Stable equilibria in the Lotka-Volterra equations
Magnus Aspenberg, Erik Martens, Kristofer Wollein Waldetoft
We consider the Lotka-Volterra system and provide necessary conditions for an equilibrium to be stable. Our results naturally complement earlier fundamental results by N. Adachi, Y…
Collet-Eckmann maps in the unicritical family
Magnus Aspenberg, Mats Bylund, Weiwei Cui
In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points…
A parameter ASIP for the quadratic family
Magnus Aspenberg, Viviane Baladi, Tomas Persson
Consider the quadratic family , for and mixing Collet--Eckmann (CE) parameters . For bounded , set $\tilde φ_{a} := φ- \int φ\,…
Slowly recurrent Collet-Eckmann maps with non-empty Fatou set
Magnus Aspenberg, Mats Bylund, Weiwei Cui
In this paper we study rational Collet-Eckmann maps for which the Julia set is not the whole sphere and for which the critical points are recurrent at a slow rate. In families wher…
Perturbations of exponential maps: Non-recurrent dynamics
Magnus Aspenberg, Weiwei Cui
We study perturbations of non-recurrent parameters in the exponential family. It is shown that the set of such parameters has Lebesgue measure zero. This particularly implies that…