47 citations · 178 across the 21 of their papers we have counts for
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math.DS2015
Characterization of dominated splittings for operator cocycles acting on Banach spaces
Alex Blumenthal, Ian D. Morris
Versions of the Oseledets multiplicative ergodic theorem for cocycles acting on infinite-dimensional Banach spaces have been investigated since the pioneering work of Ruelle in 198…
math.DS2015★ 3 cited
Entropy, volume growth and SRB measures for Banach space mappings
Alex Blumenthal, Lai-Sang Young
We consider Fréchet differentiable mappings of Banach spaces leaving invariant compactly supported Borel probability measures, and study the relation between entropy and volu…
math.DS2015★ 34 cited
A volume-based approach to the multiplicative ergodic theorem on Banach spaces
Alex Blumenthal
A volume growth-based proof of the Multiplicative Ergodic Theorem for Banach spaces is presented, following the approach of Ruelle for cocycles acting on a Hilbert space. As a cons…