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math.DS2019★ 1 cited
Analyticity of the affinity dimension for planar iterated function systems with matrices which preserve a cone
Natalia Jurga, Ian Morris
The sub-additive pressure function for an affine iterated function system (IFS) and the affinity dimension, defined as the unique solution to , were introduc…
math.DS2019★ 8 cited
Effective estimates on the top Lyapunov exponent for random matrix products
Natalia Jurga, Ian Morris
We study the top Lyapunov exponents of random products of positive matrices and obtain an efficient algorithm for its computation. As in the earlier work of Pollicott,…