Homepage of Magnus Aspenberg

Magnus Aspenberg
Centre for Mathematical Sciences
Box 118
22 100 Lund
Sweden

e-mail: magnusa (at) maths.lth.se
Phone: +46 46 222 0553
Office: MH:343

Teaching (in swedish)

Under höstterminen 2012 undervisade jag Endimensionell analys för I och L, delkurs B1 och B2. Kurshemsidan finns här för B1 och här för B2.

Under vårterminen 2013 undervisar jag Flerdimensionell analys för I. Kurshemsidan finns här.

Research

My research area is Complex Dynamics (Complex Analysis in Dynamical Systems). This is the study of iterations of complex analytic functions, usually on the Riemann sphere or the complex plane.

My Ph.D thesis can be found, in published format in Math. Z, here

2. (with Michael Yampolsky) Mating non-renormalizable quadratic polynomials. Link here. Published in Commun. Math. Phys.

3. (with Jacek Graczyk) Measure and dimension for semi-hyperbolic rational maps of degree 2. Link here. Published in C.R.A.S.

4. Rational Misiurewicz maps are rare. Link here. Published in Commun. Math. Phys.

5. Perturbations of rational Misiurewicz maps. Link here.

6. (with Walter Bergweiler) Entire functions with Julia sets of positive measure. Link here. Published in Math. Ann.

7. The dual nest for degenerate Yoccoz puzzles. Link here. Published in Conform. Geom. Dyn.

8. Rational Misiurewicz maps for which the Julia set of not the whole Riemann sphere. Link here. Published in Fund. Math.

9. (with Rodrigo Pérez) Control of cancellations that restrain the growth of a binomial recursion. Link here. Submitted.

10. (with T. Bilarev and D. Schleicher) On the speed of convergence of Newton's method for complex polynomials. Link here. Submitted.

11. (with Pascale Roesch) Mating some cubic polynomials. Manuscript in preparation.

Links

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