55 citations · 144 across the 7 of their papers we have counts for
7 papers
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…
Arithmetical and geometrical means of generalized logarithmic and exponential functions: generalized sum and product operators
Tiago Jose Arruda, Rodrigo Silva Gonzalez, Cesar Augusto Sangaletti Tercariol +1
One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the…
Exact analytical calculation for the percolation crossover in deterministic partially self-avoiding walks in one-dimensional random media
Cesar Augusto Sangaletti Tercariol, Rodrigo Silva Gonzalez, Alexandre Souto Martinez
Consider points randomly distributed along a line segment of unitary length. A walker explores this disordered medium moving according to a partially self-avoiding deterministi…