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2021

Journal Article

Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles

Gonzalez-Tokman, Cecilia and Quas, Anthony (2021). Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles. Journal of the European Mathematical Society, 23 (10), 3419-3457. doi: 10.4171/jems/1096

Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles

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2018

Journal Article

A spectral approach for quenched limit theorems for random expanding dynamical systems

Dragičević, D., Froyland, G., González-Tokman, C. and Vaienti, S. (2018). A spectral approach for quenched limit theorems for random expanding dynamical systems. Communications in Mathematical Physics, 360 (3), 1121-1187. doi: 10.1007/s00220-017-3083-7

A spectral approach for quenched limit theorems for random expanding dynamical systems

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2016

Journal Article

Optimal mixing enhancement by local perturbation

Froyland, Gary, Gonzalez-Tokman, Cecilia and Watson, Thomas M. (2016). Optimal mixing enhancement by local perturbation. SIAM Review, 58 (3), 494-513. doi: 10.1137/15M1023221

Optimal mixing enhancement by local perturbation

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2015

Journal Article

Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles

Froyland, Gary, Gonzalez-Tokman, Cecilia and Quas, Anthony (2015). Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles. Communications on Pure and Applied Mathematics, 68 (11), 2052-2081. doi: 10.1002/cpa.21569

Stochastic stability of Lyapunov exponents and Oseledets splittings for semi-invertible matrix cocycles

2024

Journal Article

Prevalence of stability for smooth Blaschke product cocycles fixing the origin

Gonzalez-Tokman, Cecilia and Peters, Joshua (2024). Prevalence of stability for smooth Blaschke product cocycles fixing the origin. Discrete and Continuous Dynamical Systems. doi: 10.3934/dcds.2024104

Prevalence of stability for smooth Blaschke product cocycles fixing the origin

2023

Journal Article

A patch in time saves nine: methods for the identification of localised dynamical behaviour and lifespans of coherent structures

Blachut, Chantelle, González-Tokman, Cecilia and Hernández-Dueñas, Gerardo (2023). A patch in time saves nine: methods for the identification of localised dynamical behaviour and lifespans of coherent structures. Journal of Nonlinear Science, 33 (4) 55. doi: 10.1007/s00332-023-09911-3

A patch in time saves nine: methods for the identification of localised dynamical behaviour and lifespans of coherent structures

2022

Journal Article

Shifts in evolutionary balance of phenotypes under environmental changes

Kleshnina, Maria, McKerral, Jody C., González-Tokman, Cecilia, Filar, Jerzy A. and Mitchell, James G. (2022). Shifts in evolutionary balance of phenotypes under environmental changes. Royal Society Open Science, 9 (11) 220744, 1-17. doi: 10.1098/rsos.220744

Shifts in evolutionary balance of phenotypes under environmental changes

2022

Journal Article

Equilibrium states for non-transitive random open and closed dynamical systems

Atnip, Jason, Froyland, Gary, Gonzalez-Tokman, Cecilia and Vaienti, Sandro (2022). Equilibrium states for non-transitive random open and closed dynamical systems. Ergodic Theory and Dynamical Systems, 43 (10) PII S0143385722000682, 3193-3215. doi: 10.1017/etds.2022.68

Equilibrium states for non-transitive random open and closed dynamical systems

2022

Journal Article

Invariant measures for random expanding on average Saussol maps

Batayneh, Fawwaz and González-Tokman, Cecilia (2022). Invariant measures for random expanding on average Saussol maps. Stochastics and Dynamics, 22 (3) 2250015, 1-18. doi: 10.1142/S0219493722500150

Invariant measures for random expanding on average Saussol maps

2022

Journal Article

Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach

González-Tokman, C. and Quas, A. (2022). Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach. Transactions of the Moscow Mathematical Society, 82 (1), 65-76. doi: 10.1090/mosc/313

Lyapunov exponents for transfer operator cocycles of metastable maps: a quarantine approach

2021

Book

Mexican Mathematicians in the World: Trends and Recent Contributions

Galaz-García, Fernando, González-Tokman, Cecilia and Pardo Millán, Juan eds. (2021). Mexican Mathematicians in the World: Trends and Recent Contributions. Contemporary Mathematics, Providence, Rhode Island: American Mathematical Society. doi: 10.1090/conm/775

Mexican Mathematicians in the World: Trends and Recent Contributions

2021

Journal Article

On the number of invariant measures for random expanding maps in higher dimensions

Batayneh, Fawwaz and Gonzalez-Tokman, Cecilia (2021). On the number of invariant measures for random expanding maps in higher dimensions. Discrete and Continuous Dynamical Systems- Series A, 41 (12), 5887-5914. doi: 10.3934/dcds.2021100

On the number of invariant measures for random expanding maps in higher dimensions

2021

Journal Article

Thermodynamic Formalism for Random Weighted Covering Systems

Atnip, Jason, Froyland, Gary, González-Tokman, Cecilia and Vaienti, Sandro (2021). Thermodynamic Formalism for Random Weighted Covering Systems. Communications in Mathematical Physics, 386 (2), 819-902. doi: 10.1007/s00220-021-04156-1

Thermodynamic Formalism for Random Weighted Covering Systems

2021

Book Chapter

Preface

Galaz-García, Fernando, González-Tokman, Cecilia and Millán, Juan Carlos Pardo (2021). Preface. Mexican mathematicians in the world: trends and recent contributions. (pp. vii-viii) Providence, RI, United States: American Mathematical Society.

Preface

2020

Journal Article

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems

Dragičević, D., Froyland, G., González-Tokman, C. and Vaienti, S. (2020). A spectral approach for quenched limit theorems for random hyperbolic dynamical systems. Transactions of the American Mathematical Society, 373 (1), 629-664. doi: 10.1090/tran/7943

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems

2020

Journal Article

A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems

Blachut, Chantelle and González-Tokman, Cecilia (2020). A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems. Journal of Computational Dynamics, 7 (2), 369-399. doi: 10.3934/JCD.2020015

A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems

2019

Journal Article

Quenched stochastic stability for eventually expanding-on-average random interval map cocycles

Froyland, Gary, González-Tokman, Cecilia and Murray, R. U.A. (2019). Quenched stochastic stability for eventually expanding-on-average random interval map cocycles. Ergodic Theory and Dynamical Systems, 39 (10), 2769-2792. doi: 10.1017/etds.2017.143

Quenched stochastic stability for eventually expanding-on-average random interval map cocycles

2019

Journal Article

Hilbert space Lyapunov exponent stability

Froyland, Gary, Gonzalez-Tokman, Cecilia and Quas, Anthony (2019). Hilbert space Lyapunov exponent stability. Transactions of the American Mathematical Society, 372 (4), 2357-2388. doi: 10.1090/tran/7521

Hilbert space Lyapunov exponent stability

2018

Journal Article

Almost sure invariance principle for random piecewise expanding maps

Dragicevic, D., Froyland, G., Gonzalez-Tokman, C. and Vaienti, S. (2018). Almost sure invariance principle for random piecewise expanding maps. Nonlinearity, 31 (5), 2252-2280. doi: 10.1088/1361-6544/aaaf4b

Almost sure invariance principle for random piecewise expanding maps

2018

Conference Publication

Multiplicative ergodic theorems for transfer operators: towards the identification and analysis of coherent structures in non-autonomous dynamical systems

González-Tokman, Cecilia (2018). Multiplicative ergodic theorems for transfer operators: towards the identification and analysis of coherent structures in non-autonomous dynamical systems. Second Meeting Matemáticos Mexicanos en el Mundo [Second meeting of Mexican Mathematicians Abroad], Guanajuato, Mexico, 15-19 December 2014. Guanajuato, Mexico: American Mathematical Society. doi: 10.1090/conm/709/14290

Multiplicative ergodic theorems for transfer operators: towards the identification and analysis of coherent structures in non-autonomous dynamical systems