Beyond word frequency: Bursts, lulls, and scaling in the temporal distributions of words (2009)
Altmann, Eduardo G., Pierrehumbert, Janet B., Motter, Adilson E.
Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems...
Poincare recurrences and transient chaos in systems with leaks (2008)
Altmann, Eduardo G., Tel, Tamas
In order to simulate observational and experimental situations, we consider a leak in the phase space of a chaotic dynamical system. We obtain an expression for the escape rate of the survival...
Altmann, Eduardo G., Del Magno, Gianluigi, Hentschel, Martina
We introduce and investigate billiard systems with an adjusted ray dynamics that accounts for modifications of the conventional reflection of rays due to universal wave effects. We show that even...
Emission from dielectric cavities in terms of invariant sets of the chaotic ray dynamics (2008)
In this paper, the chaotic ray dynamics inside dielectric cavities is described by the properties of an invariant chaotic saddle. I show that the localization of the far field emission in specific...
Poincare recurrences from the perspective of transient chaos (2007)
Altmann, Eduardo G., Tel, Tamas
We obtain a description of the Poincar\'e recurrences of chaotic systems in terms of the ergodic theory of transient chaos. It is based on the equivalence between the recurrence time distribution and...
Hypothesis of strong chaos and anomalous diffusion in coupled symplectic maps (2006)
Altmann, Eduardo G., Kantz, Holger
We investigate the high dimensional Hamiltonian chaotic dynamics in $N$ coupled area-preserving maps. We show the existence of an enhanced trapping regime caused by trajectories performing a random...
Precursors of extreme increments (2006)
Hallerberg, Sarah, Altmann, Eduardo G., Holstein, Detlef, Kantz, Holger
We investigate precursors and predictability of extreme increments in a time series. The events we are focusing on consist in large increments within successive time steps. We are especially...
Stickiness in Hamiltonian systems: from sharply divided to hierarchical phase space (2006)
Altmann, Eduardo G., Motter, Adilson E., Kantz, Holger
We investigate the dynamics of chaotic trajectories in simple yet physically important Hamiltonian systems with non-hierarchical borders between regular and chaotic regions with positive measures. We...
Reactions to extreme events: moving threshold model (2005)
Altmann, Eduardo G., Hallerberg, Sarah, Kantz, Holger
In spite of precautions to avoid the harmful effects of extreme events, we experience recurrently phenomena that overcome the preventive barriers. These barriers usually increase drastically right...
Recurrence time analysis, long-term correlations, and extreme events (2005)
Altmann, Eduardo G., Kantz, Holger
The recurrence times between extreme events have been the central point of statistical analyses in many different areas of science. Simultaneously, the Poincar\'e recurrence time has been extensively...
Stickiness in mushroom billiards (2005)
Altmann, Eduardo G., Motter, Adilson E., Kantz, Holger
We investigate dynamical properties of chaotic trajectories in mushroom billiards. These billiards present a well-defined simple border between a single regular region and a single chaotic component....