Publications (37)
A New Test for Chaos
Georg A. Gottwald, Ian Melbourne
Decay of correlations for slowly mixing flows
Ian Melbourne
Moment bounds and concentration inequalities for slowly mixing dynamical systems
Sébastien Gouëzel, Ian Melbourne
Disintegration of Invariant Measures for Hyperbolic Skew Products
Oliver Butterley, Ian Melbourne
A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion
Ian Melbourne, Paulo Varandas
Smooth approximation of stochastic differential equations
David Kelly, Ian Melbourne
Operator renewal theory for continuous time dynamical systems with finite and infinite measure
Ian Melbourne, Dalia Terhesiu
Superpolynomial and polynomial mixing for semiflows and flows
Ian Melbourne
Homogenization for Deterministic Maps and Multiplicative Noise
Georg A. Gottwald, Ian Melbourne
Existence and convergence properties of physical measures for certain dynamical systems with holes
Henk Bruin, Mark Demers, Ian Melbourne
On the Implementation of the 0-1 Test for Chaos
Georg A. Gottwald, Ian Melbourne
A Vector-Valued Almost Sure Invariance Principle for Hyperbolic Dynamical Systems
Ian Melbourne, Matthew Nicol
Rates of mixing for nonMarkov infinite measure semiflows
Henk Bruin, Ian Melbourne, Dalia Terhesiu
Mixing properties for toral extensions of slowly mixing dynamical systems with finite and infinite measure
Ian Melbourne, Dalia Terhesiu
Mixing for invertible infinite measure systems
Ian Melbourne
Exponential decay of correlations for nonuniformly hyperbolic flows with a C^{1+α} stable foliation, including the classical Lorenz attractor
Vitor Araújo, Ian Melbourne
Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation
Vitor Araujo, Ian Melbourne
Central limit theorems and suppression of anomalous diffusion for systems with symmetry
Georg A. Gottwald, Ian Melbourne
Almost Sure Invariance Principle For Nonuniformly Hyperbolic Systems
Ian Melbourne, Matthew Nicol
Mixing for continuous time dynamical systems with infinite measure
Ian Melbourne, Dalia Terhesiu
Dynamics on unbounded domains; co-solutions and inheritance of stability
Peter Ashwin, Ian Melbourne
Broadband nature of power spectra for intermittent Maps with summable and nonsummable decay of correlations
Georg A. Gottwald, Ian Melbourne
A test for a conjecture on the nature of attractors for smooth dynamical systems
Georg A. Gottwald, Ian Melbourne
Deterministic homogenization for fast-slow systems with chaotic noise
David Kelly, Ian Melbourne
Testing for Chaos in Deterministic Systems with Noise
Georg A. Gottwald, Ian Melbourne
Decay of correlations for nonuniformly expanding systems with general return times
Ian Melbourne, Dalia Terhesiu
Statistical properties for flows with unbounded roof function, including the Lorenz attractor
Peter Balint, Ian Melbourne
Multiscale systems, homogenization, and rough paths
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +2
On the Validity of the 0-1 Test for Chaos
Georg A. Gottwald, Ian Melbourne
On the detection of superdiffusive behaviour in time series
Georg A. Gottwald, Ian Melbourne
Weak Convergence to Stable Lévy Processes for Nonuniformly Hyperbolic Dynamical Systems
Ian Melbourne, Roland Zweimüller
First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure
Ian Melbourne, Dalia Terhesiu
Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
Péter Bálint, Ian Melbourne
A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
Georg A. Gottwald, Ian Melbourne
Operator renewal theory and mixing rates for dynamical systems with infinite measure
Ian Melbourne, Dalia Terhesiu
The Lorenz attractor is mixing
Stefano Luzzatto, Ian Melbourne, Frederic Paccaut
Statistical Properties and Decay of Correlations for Interval Maps with Critical Points and Singularities
Stefano Luzzatto, Ian Melbourne