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Self-Consistent Transfer Operators: Invariant Measures, Convergence to Equilibrium, Linear Response and Control of the Statistical Properties

Communications in mathematical physics, 2022-10, Vol.395 (2), p.715-772

Galatolo, Stefano

2022

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Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems

Journal of nonlinear science, 2022-12, Vol.32 (6), Article 79

2022

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An Elementary Approach to Rigorous Approximation of Invariant Measures

SIAM journal on applied dynamical systems, 2014-01, Vol.13 (2), p.958-985

2014

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Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems

Proceedings of the American Mathematical Society, 2010-07, Vol.138 (7), p.2477-2487

GALATOLO, STEFANO

2010

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Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points

Chaos, solitons and fractals, 2017-10, Vol.103, p.596-601

Galatolo, Stefano

2017

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Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products

Journal de l’École polytechnique — Mathématiques, 2018, Vol.5, p.377-405

Galatolo, Stefano

2018

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Modeling and Characterization of Extensible Wearable Textile-Based Electrogoniometers

IEEE sensors journal, 2013-01, Vol.13 (1), p.217-228

2013

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IEEE_Xplore

Controlling the statistical properties of expanding maps

Nonlinearity, 2017-07, Vol.30 (7), p.2737-2751

2017

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Effective symbolic dynamics, random points, statistical behavior, complexity and entropy

Information and computation, 2010, Vol.208 (1), p.23-41

2010

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Existence of noise induced order, a computer aided proof

Nonlinearity, 2020-09, Vol.33 (9), p.4237-4276

2020

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Rigorous computation of invariant measures and fractal dimension for maps with contracting fibers: 2D Lorenz-like maps

Ergodic theory and dynamical systems, 2016-09, Vol.36 (6), p.1865-1891

2016

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Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models

Mathematics (Basel), 2018-03, Vol.6 (3), p.39

2018

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A rigorous computational approach to linear response

Nonlinearity, 2018-03, Vol.31 (3), p.1073-1109

2018

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Decay of Correlations, Quantitative Recurrence and Logarithm Law for Contracting Lorenz Attractors

Journal of statistical physics, 2018-03, Vol.170 (5), p.862-882

2018

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Rigorous approximation of stationary measures and convergence to equilibrium for iterated function systems

Journal of physics. A, Mathematical and theoretical, 2016-07, Vol.49 (27), p.274001

2016

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A Hardware and Secure Pseudorandom Generator for Constrained Devices

IEEE transactions on industrial informatics, 2018-08, Vol.14 (8), p.3754-3765

2018

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IEEE_Xplore

Dimension and hitting time in rapidly mixing systems

Mathematical research letters, 2007, Vol.14 (5), p.797-805

Galatolo, Stefano

2007

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Rigorous approximation of stationary measures and convergence to equilibrium for iterated function systems All the authors were partially supported by ICTP and by EU Marie-Curie IRSES Brazilian-European partnership in Dynamical Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS), SG thanks The Leverhulme Trust for support through Network Grant IN-2014-021

Journal of physics. A, Mathematical and theoretical, 2016-05, Vol.49 (27)

2016

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Rigorous Approximation of Diffusion Coefficients for Expanding Maps

Journal of statistical physics, 2016-06, Vol.163 (6), p.1486-1503

2016

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Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds

Nonlinearity, 2011-11, Vol.24 (11), p.3099-3113

2011

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Skew products, quantitative recurrence, shrinking targets and decay of correlations

Ergodic theory and dynamical systems, 2015-09, Vol.35 (6), p.1814-1845

2015

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A rigorous computational approach to linear responseThis work was mainly conducted during a visit of SG to Loughborough University. WB and SG would like to thank The Leverhulme Trust for supporting mutual research visits through the Network Grant IN-2014-021. SG thanks the Department of Mathematical Sciences at Loughborough University for hospitality. WB thanks Dipartimento di Matematica, Universita di Pisa. The research of SG and IN is partially supported by EU Marie-Curie IRSES 'Brazilian-Euro

Nonlinearity, 2018-02, Vol.31 (3), p.1073-1109

2018

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Phase-locking patterns in a resonate and fire neural model with periodic drive

BioSystems, 2019-10, Vol.184, p.103992-103992, Article 103992

2019

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Erratum to: Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

Mathematische Zeitschrift, 2016-02, Vol.282 (1-2), p.615-621

2016

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Hitting time and dimension in axiom a systems, generic interval exchanges and an application to birkoff sums

Journal of statistical physics, 2006-04, Vol.123 (1), p.111-124

GALATOLO, Stefano

2006

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Self-Consistent Transfer Operators: Invariant Measures, Convergence to Equilibrium, Linear Response and Control of the Statistical Properties

Optimal Linear Response for Markov Hilbert–Schmidt Integral Operators and Stochastic Dynamical Systems

An Elementary Approach to Rigorous Approximation of Invariant Measures

Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems

Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points

Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products

Modeling and Characterization of Extensible Wearable Textile-Based Electrogoniometers

Controlling the statistical properties of expanding maps

Effective symbolic dynamics, random points, statistical behavior, complexity and entropy

Existence of noise induced order, a computer aided proof

Rigorous computation of invariant measures and fractal dimension for maps with contracting fibers: 2D Lorenz-like maps

Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models

A rigorous computational approach to linear response

Decay of Correlations, Quantitative Recurrence and Logarithm Law for Contracting Lorenz Attractors

Rigorous approximation of stationary measures and convergence to equilibrium for iterated function systems

A Hardware and Secure Pseudorandom Generator for Constrained Devices

Dimension and hitting time in rapidly mixing systems

Rigorous Approximation of Diffusion Coefficients for Expanding Maps

Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds

Skew products, quantitative recurrence, shrinking targets and decay of correlations

Phase-locking patterns in a resonate and fire neural model with periodic drive

Erratum to: Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

Hitting time and dimension in axiom a systems, generic interval exchanges and an application to birkoff sums

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