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An Alternative Approach to Generalised BV and the Application to Expanding Interval Maps
Generalised bounded variation transfer operator expanding map spectral gap
2012/6/21
We introduce a family of Banach spaces of measures, each containing the set of measures with density of bounded variation. These spaces are suitable for the study of weighted transfer operators of pie...
Asymptotic expansion of smooth interval maps
Asymptotic expansion smooth interval maps Dynamical Systems
2012/4/16
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
On stochastic stability of non-uniformly expanding interval maps
stochastic stability non-uniformly expanding interval maps Dynamical Systems
2011/9/5
Abstract: We study the expanding properties of random perturbations of regular interval maps satisfying the summability condition of exponent one. Under mild conditions, we prove strong stochastic sta...
Multiresolution analysis for Markov Interval Maps
multiwavelets, multiresolution analysis, Markov interval maps
2011/8/23
Abstract: We set up a multiresolution analysis on fractal sets derived from limit sets of Markov Interval Maps. For this we consider the $\mathbb{Z}$-convolution of a non-atomic measure supported on t...