33 citations · 70 across the 10 of their papers we have counts for
12 papers
Random Composition of L-S-V Maps Sampled Over Large Parameter Ranges
Christopher Bose, Anthony Quas, Matteo Tanzi
Liverani-Saussol-Vaienti (L-S-V) maps form a family of piecewise differentiable dynamical systems on depending on one parameter . These maps are everywhere…
Quenched decay of correlations for slowly mixing systems
Wael Bahsoun, Christopher Bose, Marks Ruziboev
We study random towers that are suitable to analyse the statistics of slowly mixing random systems. We obtain upper bounds on the rate of quenched correlation decay in a general se…
On irreducibility of Oseledets subspaces
Christopher Bose, Joseph Horan, Anthony Quas
For a cocycle of invertible real -by- matrices, the Multiplicative Ergodic Theorem gives an Oseledets subspace decomposition of ; that is, above each point in t…
Mixing rates and limit theorems for random intermittent maps
Wael Bahsoun, Christopher Bose
We study random transformations built from intermittent maps on the unit interval that share a common neutral fixed point. We focus mainly on random selections of Pomeu-Manneville-…
First hyperbolic times for intermittent maps with unbounded derivative
Chris Bose, Rua Murray
We establish some statistical properties of the hyperbolic times for a class of nonuniformly expanding dynamical systems. The maps arise as factors of area preserving maps of the u…
Decay of correlation for random intermittent maps
Wael Bahsoun, Christopher Bose, Yuejiao Duan
We study a class of random transformations built over finitely many intermittent maps sharing a common indifferent fixed point. Using a Young-tower technique, we show that the map…
Rigorous pointwise approximations for invariant densities of nonuniformly expanding maps
Wael Bahsoun, Christopher Bose, Yuejiao Duan
We use an Ulam-type discretization scheme to provide pointwise approximations for invariant densities of interval maps with a neutral fixed point. We prove that the approximate inv…
Numerical approximation of conditionally invariant measures via Maximum Entropy
Christopher Bose, Rua Murray
It is well known that open dynamical systems can admit an uncountable number of (absolutely continuous) conditionally invariant measures (ACCIMs) for each prescribed escape rate. W…
Polynomial decay of correlations in the generalized baker's transformation
Christopher Bose, Rua Murray
We introduce a family of area preserving generalized baker's transformations acting on the unit square and having sharp polynomial rates of mixing for Holder data. The constructio…
Ulam's method for Lasota-Yorke maps with holes
Christopher Bose, Gary Froyland, Cecilia González-Tokman +1
Ulam's method is a rigorous numerical scheme for approximating invariant densities of dynamical systems. The phase space is partitioned into connected sets and an inter-set transit…
Invariant densities and escape rates: Rigorous and computable approximations in the -norm
Wael Bahsoun, Christopher Bose
In this article we study a piecewise linear discretization schemes for transfer operators (Perron-Frobenius operators) associated with interval maps. We show how these can be used…
Quasi-Invariant measures, escape rates and the effect of the hole
Wael Bahsoun, Christopher Bose
Let be a piecewise expanding interval map and be an abstract perturbation of into an interval map with a hole. Given a number , , we compute an upper-…