One interesting way to design pseudo-random generators can be found in chaos theory [8,9,10], Indeed, chaotic systems are characterized by their high sensitivity to initial parameters and some properties like ergodicity
, mixing property and high complexity [8, 11].
hypothesis, as the space-time compensatory phenomenon making it possible to conduct similar assessments in space by the estimates in time and vice versa, the dependence of the humus horizon extreme power from energy costs on soil formation allows us calculate the development extreme values that a soil of particular granulometric composition may attain provided the keeping of continuing climatic conditions of the modern era (instrumental period), taking into account the long-term climate scenarios, either by past time intervals (if the results of climate reconstructions are available).
It is assumed that all random parameters are statistically stationary and obey the ergodicity
In vivo anomalous diffusion and weak ergodicity
breaking of lipid granules.
Some new searching algorithms called Chaos Optimization Algorithms (COAs) use the properties of chaos like ergodicity
as in Li (1998) and Zhang (1999).
A] is already strongly consistent by assuming only the ergodicity
The first notion, ergodicity
, is important for conceptualising the actual effort or work that students put into enacting the computer game.
In this method the assumption is made that the image is a random function of brightness with the ergodicity
Some areas studied include a mathematical-model approach to chlamydial infection in Japan, time-inhomogeneous Markov chains and ergodicity
arising from nonlinear dynamic systems and optimization, solutions to open problems in n-dimensional fluid dynamics, exact penalty functions for constrained optimization problems, and the development of Lyapunov's direct method in the application to new types of problems of hydrodynamic stability theory.
assumption is contrary to the actual way that shocks are generated.
He calculates the unlikeliness of the present universe, and mentions ergodicity
, Boltzmann's problem of the eternal return, but only in passing.
The 3D hydrogen atom in a strong magnetic field is a nonintegrable and chaotic system [16, 17] undergoing a transition from complete integrability (pure Coulomb case) to ergodicity
(at sufficiently high energies), being a generic system, having the mixed type classical phase space , and it is an example of classical (Hamiltonian) and quantum chaos par excellence.