Oliver Butterley
Professor - University of Rome
I received my PhD from Imperial College London under the supervision of Stefano Luzzatto. I was a postdoc at UFRJ, Rio de Janeiro under the supervision of Vítor Araújo. Following that I was a postdoc member of the MALADY team at Roma II, Tor Vergata under the supervision of Carlangelo Liverani.
I was a postdoc at the University of Vienna under the supervision of Henk Bruin. Following that I was a FWF Lise Meitner postdoc at the University of Vienna, project leader of “Statistical Properties of Physical Chaotic Flows” and a member of the Ergodic Theory and Dynamical Systems group. I was then a postdoc in the Mathematics section of ICTP.
I am currently a faculty member of the mathematics department of Roma II (Tor Vergata).
Selected publications
Parabolic Flows Renormalized by Partially Hyperbolic Maps (with Lucia D. Simonelli). Preprint.
Open Sets of Exponentially Mixing Anosov Flows (with Khadim War). To appear in J. Eur. Math. Soc.
Polynomial Decay of Correlations for Flows, Including Lorentz Gas Examples (with Péter Bálint and Ian Melbourne). Commun. Math. Phys., 368:55–111, 2019.
Disintegration of Invariant Measures for Hyperbolic Skew Products (with Ian Melbourne). Israel J. Math., 219:171–188, 2017.
Exponential Mixing for Skew Products with Discontinuities (with Peyman Eslami). Trans. Amer. Math. Soc., 369:783–803, 2017.
A Note on Operator Semigroups Associated to Chaotic Flows. Ergod. Th. & Dynam. Sys., 36(5):1396–1408, 2016 (Corrigendum: 36(5):1409–1410, 2016).
Open Sets of Axiom A Flows with Exponentially Mixing Attractors (with Vítor Araújo, Paulo Varandas). Proc. Amer. Math. Soc., 144(7):2971–2984, 2016 (Corrigendum: 146 5013–5014).
Area Expanding C1+α Suspension Semiflows. Commun. Math. Phys., 325(2):803–820, 2014.
Robustly Invariant Sets in Fiber Contracting Bundle Flows (with Carlangelo Liverani). J. Mod. Dyn., 7(2):255–267, 2013.
Expanding Semiflows on Branched Surfaces and One-Parameter Semigroups of Operators. Nonlinearity 25(12):3487–3503, 2012.
Smooth Anosov Flows: Correlation Spectra and Stability (with Carlangelo Liverani). J. Mod. Dyn., 1(2):301–322, 2007.