Works matching AU Melbourne, Ian
Results: 32
Asymptotic stability of heteroclinic cycles in systems with symmetry. II.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2004, v. 134, n. 6, p. 1177, doi. 10.1017/S0308210500003693
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- Article
Statistical Properties for Flows with Unbounded Roof Function, Including the Lorenz Attractor.
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- Journal of Statistical Physics, 2018, v. 172, n. 4, p. 1101, doi. 10.1007/s10955-018-2093-y
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A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion.
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- Stochastics & Dynamics, 2016, v. 16, n. 3, p. -1, doi. 10.1142/S0219493716600121
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- Article
Mixing for invertible dynamical systems with infinite measure.
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- Stochastics & Dynamics, 2015, v. 15, n. 2, p. -1, doi. 10.1142/S0219493715500124
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- Article
STATISTICAL LIMIT LAWS FOR EQUIVARIANT OBSERVATIONS.
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- Stochastics & Dynamics, 2004, v. 4, n. 1, p. 1, doi. 10.1142/S0219493704000882
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- Article
Existence and smoothness of the stable foliation for sectional hyperbolic attractors.
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- Bulletin of the London Mathematical Society, 2017, v. 49, n. 2, p. 351, doi. 10.1112/blms.12037
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- Article
Decay of Correlations and Invariance Principles for Dispersing Billiards with Cusps, and Related Planar Billiard Flows.
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- Journal of Statistical Physics, 2008, v. 133, n. 3, p. 435, doi. 10.1007/s10955-008-9623-y
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- Article
Phase dynamics in the real Ginzburg-Landau equation.
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- Mathematische Nachrichten, 2004, v. 263-264, n. 1, p. 171, doi. 10.1002/mana.200310129
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- Article
Statistical Properties and Decay of Correlations for Interval Maps with Critical Points and Singularities.
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- Communications in Mathematical Physics, 2013, v. 320, n. 1, p. 21, doi. 10.1007/s00220-013-1709-y
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- Article
The Lorenz Attractor is Mixing.
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- Communications in Mathematical Physics, 2005, v. 260, n. 2, p. 393, doi. 10.1007/s00220-005-1411-9
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- Article
Almost Sure Invariance Principle for Nonuniformly Hyperbolic Systems.
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- Communications in Mathematical Physics, 2005, v. 260, n. 1, p. 131, doi. 10.1007/s00220-005-1407-5
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- Article
Convergence to a Lévy Process in the Skorohod M1 and M2 Topologies for Nonuniformly Hyperbolic Systems, Including Billiards with Cusps.
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- Communications in Mathematical Physics, 2020, v. 375, n. 1, p. 653, doi. 10.1007/s00220-019-03501-9
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- Article
Rate of Convergence in the Weak Invariance Principle for Deterministic Systems.
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- Communications in Mathematical Physics, 2019, v. 369, n. 3, p. 1147, doi. 10.1007/s00220-019-03334-6
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- Article
Polynomial Decay of Correlations for Flows, Including Lorentz Gas Examples.
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- Communications in Mathematical Physics, 2019, v. 368, n. 1, p. 55, doi. 10.1007/s00220-019-03423-6
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- Article
Superdiffusive limits for deterministic fast–slow dynamical systems.
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- Probability Theory & Related Fields, 2020, v. 178, n. 3/4, p. 735, doi. 10.1007/s00440-020-00988-5
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- Article
Decay of correlations for non-uniformly expanding systems with general return times.
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- Ergodic Theory & Dynamical Systems, 2014, v. 34, n. 3, p. 893, doi. 10.1017/etds.2012.158
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Convergence of moments for Axiom A and non-uniformly hyperbolic flows.
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- Ergodic Theory & Dynamical Systems, 2012, v. 32, n. 3, p. 1091, doi. 10.1017/S0143385711000174
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Transitivity of Heisenberg group extensions of hyperbolic systems.
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- Ergodic Theory & Dynamical Systems, 2012, v. 32, n. 1, p. 223, doi. 10.1017/S014338571000091X
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Existence and convergence properties of physical measures for certain dynamical systems with holes.
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- Ergodic Theory & Dynamical Systems, 2010, v. 30, n. 3, p. 687, doi. 10.1017/S0143385709000200
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- Article
Subexponential decay of correlations for compact group extensions of non-uniformly expanding systems.
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- Ergodic Theory & Dynamical Systems, 2005, v. 25, n. 6, p. 1719, doi. 10.1017/s014338570500026x
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Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets.
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- Ergodic Theory & Dynamical Systems, 2005, v. 25, n. 2, p. 517, doi. 10.1017/s0143385704000355
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Stable transitivity of Euclidean group extensions.
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- Ergodic Theory & Dynamical Systems, 2003, v. 23, n. 2, p. 611, doi. 10.1017/s0143385702001554
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Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions.
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- Ergodic Theory & Dynamical Systems, 2003, v. 23, n. 1, p. 87, doi. 10.1017/S0143385702000901
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- Article
Bifurcation from relative periodic solutions.
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- Ergodic Theory & Dynamical Systems, 2001, v. 21, n. 2, p. 605, doi. 10.1017/S0143385701001298
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- Article
Asymptotic stability of heteroclinic cycles in systems with symmetry.
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- Ergodic Theory & Dynamical Systems, 1995, v. 15, n. 1, p. 121, doi. 10.1017/S0143385700008270
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Erratum to: Operator renewal theory and mixing rates for dynamical systems with infinite measure.
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- 2015
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- Erratum
Operator renewal theory and mixing rates for dynamical systems with infinite measure.
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- Inventiones Mathematicae, 2012, v. 189, n. 1, p. 61, doi. 10.1007/s00222-011-0361-4
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Central limit theorems and invariance principles for Lorenz attractors.
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- Journal of the London Mathematical Society, 2007, v. 76, n. 2, p. 345, doi. 10.1112/jlms/jdm060
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- Article
Necessary and sufficient condition for ℳ2-convergence to a Lévy process for billiards with cusps at flat points.
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- Stochastics & Dynamics, 2021, v. 21, n. 5, p. 1, doi. 10.1142/S0219493721500246
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- Article
Versal unfoldings of equivariant linear Hamiltonian vector fields.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 1993, v. 114, n. 3, p. 559, doi. 10.1017/S0305004100071826
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Normal forms for linear Hamiltonian vector fields commuting with the action of a compact Lie group.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 1993, v. 114, n. 2, p. 235, doi. 10.1017/S0305004100071577
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- Article
STATISTICAL PROPERTIES OF ENDOMORPHISMS AND COMPACT GROUP EXTENSIONS.
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- Journal of the London Mathematical Society, 2004, v. 70, n. 2, p. 427, doi. 10.1112/S0024610704005587
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- Article