373 citations · 1.1k across the 29 of their papers we have counts for
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Two-dimensional dissipative maps at chaos threshold: Sensitivity to initial conditions and relaxation dynamics
Ernesto P. Borges, Ugur Tirnakli
The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We v…
A possible deformed algebra and calculus inspired in nonextensive thermostatistics
Ernesto P. Borges
We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and co…
Mixing and relaxation dynamics of the Henon map at the edge of chaos
Ernesto P. Borges, Ugur Tirnakli
The mixing properties (or sensitivity to initial conditions) and relaxation dynamics of the Henon map, together with the connection between these concepts, have been explored numer…
Nonextensive statistical mechanics - Applications to nuclear and high energy physics
C. Tsallis, Ernesto P. Borges
A variety of phenomena in nuclear and high energy physics seemingly do not satisfy the basic hypothesis for possible stationary states to be of the type covered by Boltzmann-Gibbs…