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20062008
most citedContinuous growth models in terms of generalized logarithm and exponential functions

55 citations

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cond-mat.stat-mech2008★ 20 cited

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…

cond-mat.stat-mech2007★ 28 cited

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…