Internal-wave billiards in trapezoids and similar tables

no code implementations • 2 Feb 2021 • Marco Lenci, Claudio Bonanno, Giampaolo Cristadoro

We call internal-wave billiard the dynamical system of a point particle that moves freely inside a planar domain (the table) and is reflected by its boundary according to this rule: reflections are standard Fresnel reflections but with the pretense that the boundary at any collision point is either horizontal or vertical (relative to a predetermined direction representing gravity).

Dynamical Systems Mathematical Physics Mathematical Physics 37N10, 37C83, 37E05 (Primary) 37E45, 37C70, 37C25, 76B55 (Secondary)

Dynamics of transposable elements generates structure and symmetries in genetic sequences

no code implementations • 22 Jun 2020 • Giampaolo Cristadoro, Mirko Degli Esposti, Eduardo G. Altmann

Genetic sequences are known to possess non-trivial composition together with symmetries in the frequencies of their components.

Natural Language Statistical Features of LSTM-generated Texts

no code implementations • 10 Apr 2018 • Marco Lippi, Marcelo A Montemurro, Mirko Degli Esposti, Giampaolo Cristadoro

In particular, we characterized the statistical structure of language by assessing word-frequency statistics, long-range correlations, and entropy measures.

Image Captioning Text Generation