55 citations
5 papers
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…
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…
Analytical calculation of neighborhood order probabilities for high dimensional Poissonic processes and mean field models
Cesar Augusto Sangaletti Tercariol, Felipe de Mouta Kiipper, Alexandre Souto Martinez
Consider that the coordinates of points are randomly generated along the edges of a -dimensional hypercube (random point problem). The probability that an arbitrary point is…
Analytical Results for the Statistical Distribution Related to Memoryless Deterministic Tourist Walk: Dimensionality Effect and Mean Field Models
Cesar Augusto Sangaletti Tercariol, Alexandre Souto Martinez
Consider a medium characterized by N points whose coordinates are randomly generated by a uniform distribution along the edges of a unitary d-dimensional hypercube. A walker leaves…