782 citations · 4.1k across the 31 of their papers we have counts for
6 papers · 1 filter
Time-metric equivalence and dimension change under time reparameterizations
Adilson E. Motter, Katrin Gelfert
We study the behavior of dynamical systems under time reparameterizations, which is important not only to characterize chaos in relativistic systems but also to probe the invarianc…
Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards
Jonathan Andreasen, Hui Cao, Jan Wiersig +1
Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity…
Relativistic invariance of Lyapunov exponents in bounded and unbounded systems
Adilson E. Motter, Alberto Saa
The study of chaos in relativistic systems has been hampered by the observer dependence of Lyapunov exponents (LEs) and of conditions, such as orbit boundedness, invoked in the int…
Spontaneous Reaction Silencing in Metabolic Optimization
Takashi Nishikawa, Natali Gulbahce, Adilson E. Motter
Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as…
A Poissonian explanation for heavy-tails in e-mail communication
R. Dean Malmgren, Daniel B. Stouffer, Adilson E. Motter +1
Patterns of deliberate human activity and behavior are of utmost importance in areas as diverse as disease spread, resource allocation, and emergency response. Because of its wides…
Beyond word frequency: Bursts, lulls, and scaling in the temporal distributions of words
Eduardo G. Altmann, Janet B. Pierrehumbert, Adilson E. Motter
Background: Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork…