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Fractal approximation by absolutely continuous invariant measures
Physics Letters A, 1990Abstract Let {X:τ1, …, τN} be an iterated function system with attractor S. We associate probabilities p1, …, pN with τ1, …, τN, respectively. Let M ( X ) be the space of Borel probability measures on X, and let M: M ( X )→ M ( X ) be the Markov operator associated with the iterated function system and its probabilities given ...
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Numerical approximation of invariant measures for hybrid diffusion systems
IEEE Transactions on Automatic Control, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, G. George, Mao, X., Yin, K.
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Truncation approximations of invariant measures for Markov chains
Journal of Applied Probability, 1998Let P be the transition matrix of a positive recurrent Markov chain on the integers, with invariant distribution π. If (n)P denotes the n x n ‘northwest truncation’ of P, it is known that approximations to π(j)/π(0) can be constructed from (n)P, but these are known to converge to the probability distribution itself in special cases only.
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Algorithms for approximation of invariant measures for IFS
manuscripta mathematica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Using Generalized Cell Mapping to Approximate Invariant Measures on Compact Manifolds
International Journal of Bifurcation and Chaos, 1997In order to predict the long term behavior of nonlinear dynamical systems the generalized cell mapping is an efficient and powerful method for numerical analysis. For this reason it is of interest to know under what circumstances dynamical quantities of the generalized cell mapping (like persistent groups, stationary densities, …) reflect the dynamics
Guder, Rabbijah, Kreuzer, Edwin
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Approximation of invariant measures of stochastic evolution processes: Time discretization
Proceedings of the American Mathematical SocietyThis paper deals with approximation of invariant measures of stochastic evolution processes. Under certain conditions, we demonstrate that any limit point of invariant measures of the time discrete approximations, i.e., numerical scheme, must be an invariant measure of the underlying continuous stochastic evolution processes as the step size approaches
Li, Dingshi, Pu, Zhe, Mi, Shaoyue
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Invariant measures of stochastic Maxwell equations and ergodic numerical approximations
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Chuchu +3 more
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