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A generalization of Straube's theorem
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Absolutely continuous invariant measures of linear interval maps
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Absolutely continuous invariant measures that cannot be observed experimentally
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Approximation of absolutely continuous invariant measures for Markov switching position dependent random maps
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Diffusion approximations of the geometric Markov renewal processes and option price formulas
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We consider the geometric Markov renewal processes as a model for a security
market and study this processes in a diffusion approximation scheme. Weak convergence
analysis and rates of convergence of ergodic geometric Markov renewal processes in diffusion
scheme are presented. We present...
Invariant densities of random maps have lower bounds on their supports
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Invariant measures for higher dimensional Markov switching position dependent random maps
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A higher dimensional Markov switching position dependent random map is a random map where the probabilities of switching from one higher dimension transformation to another are the entries of a stochastic matrix and the entries of stochastic matrix are functions of positions. In this note, we pr...
Invariant measures of stochastic perturbations of dynamical systems using Fourier approximations
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Piecewise linear probability density functions of invariant measures for position dependent random maps
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Randomly chosen chaotic maps can give rise to nearly ordered behavior
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Statistical design of an experimental problem in harmonics
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The Michelin Tire Company requires its tires to be very uniform in order to provide a smooth, quiet ride. The design of the appropriate manufacturing technique leads to a problem in harmonic analysis, and to the problem of the design of a statistical experiment to accurately measure the harmonic...