Publications

Published Articles

12. A. M. Benini, J. E. Fornæess, H. Peters, Entropy of Transcendental entire functions, to appear in in Ergodic Theory and Dynamical Systems, preprint arXiv:1808.06360 [math.DS].

11. A. M. Benini, N. Fagella, Singular values and non-repelling cycles for entire transcendental maps. To appear in Indiana University Mathematics Journal.

10. A. M. Benini, J. E. Fornæess, H. Peters, Infinite entropy for transcendental entire functions with an omitted value. Acta Math Vietnam (2018).

9. A. M. Benini, L. Arosio, J.E. Fornæss, H. Peters. Dynamics of Transcendental Henon maps. To appear in Mathematische Annalen.

8. A. M. Benini, N. Fagella, Singular values and bounded Siegel disks. Math. Proc. Cambridge Philos. Soc. 165 (2018), no. 2, 249--265.

7. A. M. Benini, A note on repelling periodic points for meromorphic functions with bounded set of singular values. Rev. Mat, Iberoam. 32 (2016), no.1, 265--272.

6. A. M. Benini, P. Rippon and G. Stallard. Permutable functions and multiply connected Wandering Domains. Adv. Math. 287 (2016), 451--462.

5. A. M. Benini, Expansivity properties and rigidity for non-recurrent exponential maps. Nonlinearity 28 (2015) 2003--2025.

4. A. M. Benini, N. Fagella, A separation theorem for transcendental entire maps. Proc. Lond. Math. Soc. (3) 110 (2015), no. 2, 291--324.

3. A. M. Benini, M. Lyubich, Repelling periodic orbits and landing of rays for post-singularly bounded exponential maps. Ann. Inst. Fourier 64 no. 4 (2014), p. 1493--1520.

2. A. M. Benini, Triviality of fibers for Misiurewicz parameters in the exponential family. Conform. Geom. Dyn. 15 (2011), 133-151.

1. A. M. Benini, D. Anselmi. Improved Schwinger-DeWitt techniques for higher-derivative perturbations of operator determinants. JHEP10 (2007) 099.

Preprints

5. A. M. Benini, V. Evdoridou, N. Fagella, P. Rippon, G. Stallard, Classifying simply connected wandering domains, manuscript.

4. A. M. Benini, N. Fagella, A bound on the number of rationally invisible repelling orbits, preprint, arXiv:1907.12310 [math.DS].

3. A. M. Benini, L. Arosio, J.E. Fornaess, H. Peter, Dynamics of Transcendental H enon maps II, preprint, arXiv:1905.11557 [math.DS].

2. A. M. Benini, L. Rempe-Gillen, A landing Theorem for entire functions with bounded post-singular sets. arXiv:1711.10780 [math.DS].

1. A. M. Benini, A survey on MLC, rigidity and related topics. arXiv:1709.09869 [math.DS].

Other Publications

A. M. Benini, About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics. Published in Bruno Pini Mathematical Analysis Seminar.