64 citations · 781 across the 45 of their papers we have counts for
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Generalized Exponential Function and some of its Applications to Complex Systems
Alexandre Souto Martinez, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol
From the integration of non-symmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exp…
The influence of memory in deterministic walks in random media: analytical calculation within a mean field approximation
Cesar Augusto Sangaletti Tercariol, Alexandre Souto Martinez
Consider a random medium consisting of points randomly distributed so that there is no correlation among the distances. This is the random link model, which is the high dimensional…
Generalized exponential function and discrete growth models
Alexandre Souto Martinez, Rodrigo Silva Gonzalez, Aquino Lauri Espindola
Here we show that a particular one-parameter generalization of the exponential function is suitable to unify most of the popular one-species discrete population dynamics models int…
Continuous growth models in terms of generalized logarithm and exponential functions
Alexandre Souto Martinez, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol
Consider the one-parameter generalizations of the logarithmic and exponential functions which are obtained from the integration of non-symmetrical hyperboles. These generalizations…