Gianluigi Del Magno

Hyperbolic polygonal billiards with finitely many ergodic SRB measures

G. Del Magno, J. Lopes Dias, P. Duarte and J. P. Gaivão

*Ergodic Theory and Dynamical Systems* 38, 2062-2085 (2018).

Dissipative outer billiards: a case study

G. Del Magno, J. P. Gaivão and E. Gutkin

*Dynamical Systems: An International Journal* 30, 45-69 (2015).

Ergodicity of polygonal slap maps

G. Del Magno, J. Lopes Dias, P. Duarte and J. P. Gaivão

*Nonlinearity* 27, 1969-1983 (2014).

SRB measures for polygonal billiards with contracting reflection laws

G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro

*Communications in Mathematical Physics* 329, 687-723 (2014).

A local ergodic theorem for non-uniformly hyperbolic systems with singularites

G. Del Magno and R. Markarian

*Ergodic Theory and Dynamical Systems* 33, 983-1007 (2013).

Invariant measures for random transformations expanding on average

G. Del Magno and J. Bröcker

*Publicaciones Matemáticas del Uruguay* 14, 68-93 (2013).

Singular sets of planar hyperbolic billiards are regular

G. Del Magno and R. Markarian

*Regular & Chaotic Dynamics* 18, 425-452 (2013).

Chaos in the square billiard with a modified reflection law

G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro

*Chaos* 22, 026106 (2012).

How complex a dynamical network can be?

M. S. Baptista, F. Moukam Kakmeni, G. Del Magno and M. S. Hussein

*Physics Letters A* 375, 1309-1318 (2011).

Track billiards

L. A. Bunimovich and G. Del Magno

*Communications in Mathematical Physics* 288, 699-713 (2009).

Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics

E. Altmann, G. Del Magno and M. Hentschel

*Europhysics Letters EPL* 84, 10008 (2008).

Semi-focusing billiards: ergodicity

L. A. Bunimovich and G. Del Magno

*Ergodic Theory and Dynamical Systems* 28, 1377-1417 (2008).

Semi-focusing billiards: hyperbolicity

L. A. Bunimovich and G. Del Magno

*Communications in Mathematical Physics* 262, 17-32 (2006).

Bernoulli Elliptical Stadia

G. Del Magno and R. Markarian

*Communications in Mathematical Physics* 233, 211-230 (2003).

Ergodicity of a class of truncated elliptical billiards

G. Del Magno

*Nonlinearity* 14, 1761-1786 (2001).

Escape orbits and ergodicity in infinite step billiards

M. Degli Esposti, G. Del Magno and M. Lenci

*Nonlinearity* 13, 1275-1292 (2000).

An infinite step billiard

M. Degli Esposti, G. Del Magno and M. Lenci

*Nonlinearity* 11, 991-1013 (1998).

Polygonal billiards with a contractive reflection law: a review of some hyperbolic properties

G. Del Magno, J. Lopes Dias, P. Duarte, J. P. Gaivão and D. Pinheiro

*in Difference Equations, Discrete Dynamical Systems and Applications, Eds. L. Alseda i Soler et al.*, Springer 180, (2016).

On the attractor of piecewise expanding maps of the interval

G. Del Magno, J. Lopes Dias, P. Duarte and J. P. Gaivão

* preprint* (2018).
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