Ruelle–Pollicott Resonances of Stochastic Systems in Reduced State Space. Part I: Theory

Ruelle-Pollicott Resonances of Stochastic Systems in Reduced State Space. Part II: Stochastic Hopf Bifurcation

(2020) Alexis Tantet et al.   JOURNAL OF STATISTICAL PHYSICS

Ruelle–Pollicott Resonances of Stochastic Systems in Reduced State Space. Part III: Application to the Cane–Zebiak Model of the El Niño–Southern Oscillation

(2019) Alexis Tantet et al.   JOURNAL OF STATISTICAL PHYSICS

Variational Approach to Closure of Nonlinear Dynamical Systems: Autonomous Case

(2019) Mickaël D. Chekroun et al.   JOURNAL OF STATISTICAL PHYSICS

Crisis of the chaotic attractor of a climate model: a transfer operator approach

(2018) Alexis Tantet et al.   NONLINEARITY

Revising and Extending the Linear Response Theory for Statistical Mechanical Systems: Evaluating Observables as Predictors and Predictands

(2018) Valerio Lucarini   JOURNAL OF STATISTICAL PHYSICS

Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics

(2018) M H Duong et al.   NONLINEARITY

Mathematical Analysis of the Jin-Neelin Model of El Niño-Southern-Oscillation

(2018) Yining Cao et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables

(2017) Viviane Baladi et al.   NONLINEARITY

Pathwise estimates for an effective dynamics

(2017) Frédéric Legoll et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Mathematical study of scattering resonances

(2017) Maciej Zworski   Bulletin of Mathematical Sciences

Effective dynamics along given reaction coordinates, and reaction rate theory

(2016) Wei Zhang et al.   FARADAY DISCUSSIONS

Ergodicity of Truncated Stochastic Navier Stokes with Deterministic Forcing and Dispersion

(2016) Andrew J. Majda et al.   JOURNAL OF NONLINEAR SCIENCE

Effective dynamics along given reaction coordinates, and reaction rate theory

(2016) Wei Zhang et al.   FARADAY DISCUSSIONS

An early warning indicator for atmospheric blocking events using transfer operators

(2015) Alexis Tantet et al.   CHAOS

Pseudo generators for under-resolved molecular dynamics

(2015) A. Bittracher et al.   European Physical Journal-Special Topics

Stochastic stability of Pollicott–Ruelle resonances

(2015) Semyon Dyatlov et al.   NONLINEARITY

Data-driven non-Markovian closure models

(2015) Dmitri Kondrashov et al.   PHYSICA D-NONLINEAR PHENOMENA

Pseudogenerators of Spatial Transfer Operators

(2015) Andreas Bittracher et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

(2014) Martin Hairer et al.   ANNALS OF APPLIED PROBABILITY

Decay of correlations for normally hyperbolic trapping

(2014) Stéphane Nonnenmacher et al.   INVENTIONES MATHEMATICAE

Exact dynamical coarse-graining without time-scale separation

(2014) Jianfeng Lu et al.   JOURNAL OF CHEMICAL PHYSICS

Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances

(2014) Mickaël David Chekroun et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Anosov flows and dynamical zeta functions

(2013) Paolo Giulietti et al.   ANNALS OF MATHEMATICS

Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach

(2013) Jeroen Wouters et al.   JOURNAL OF STATISTICAL PHYSICS

Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

(2013) Gary Froyland et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Exponential return to equilibrium for hypoelliptic quadratic systems

(2012) M. Ottobre et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Disentangling multi-level systems: averaging, correlations and memory

(2012) Jeroen Wouters et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Diffusion Estimation from Multiscale Data by Operator Eigenpairs

(2011) Daan Crommelin et al.   MULTISCALE MODELING & SIMULATION

Stochastic climate dynamics: Random attractors and time-dependent invariant measures

(2011) Mickaël D. Chekroun et al.   PHYSICA D-NONLINEAR PHENOMENA

Asteroseismology of red giants from the first four months ofKeplerdata: Fundamental stellar parameters

(2010) T. Kallinger et al.   ASTRONOMY & ASTROPHYSICS

Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift

(2010) F. Flandoli et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Effective dynamics using conditional expectations

(2010) Frédéric Legoll et al.   NONLINEARITY

On the detection of Lorentzian profiles in a power spectrum: a Bayesian approach using ignorance priors

(2009) M. Gruberbauer et al.   ASTRONOMY & ASTROPHYSICS

Accurate noise projection for reduced stochastic epidemic models

(2009) Eric Forgoston et al.   CHAOS

Data-Based Inference of Generators for Markov Jump Processes Using Convex Optimization

(2009) Daan Crommelin et al.   MULTISCALE MODELING & SIMULATION

A review of linear response theory for general differentiable dynamical systems

(2009) David Ruelle   NONLINEARITY

Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations

(2009) M. Hairer et al.   PROBABILITY THEORY AND RELATED FIELDS

Escape Rates in a Stochastic Environment with Multiple Scales

(2009) Eric Forgoston et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Subgeometric rates of convergence of f-ergodic strong Markov processes

(2008) Randal Douc et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS