Locating resonances for axiom A dynamical systems

From MaRDI portal
Publication:1109391

DOI10.1007/BF01011300zbMath0655.58026MaRDI QIDQ1109391

David Pierre Ruelle

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)




Related Items

Statistical properties of chaos demonstrated in a class of one-dimensional mapsZeta functions and periodic orbit theory: A reviewGibbs measures and power spectra for type I intermittent mapsThe error term in the prime orbit theorem for expanding semiflowsScattering theory and thermodynamics of quantum transportLocating resonances for axiom A dynamical systemsVortex motion, sound radiation, and complex time singularitiesLocal and global statistical dynamical properties of chaotic Markov analytic maps and repellers: a coarse grained and spectral perspectiveVariational search of periodic motions in complex dynamical systemsCycles, randomness, and transport from chaotic dynamics to stochastic processesGeneralized Eigenvalues of the Perron–Frobenius Operators of Symbolic Dynamical SystemsFlat trace statistics of the transfer operator of a random partially expanding mapLyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functionsCorrelation decay and return time statistics.Stability of statistical properties in two-dimensional piecewise hyperbolic mapsUpper bound on the density of Ruelle resonances for Anosov flowsOn the decay of correlations in Sinai billiards with infinite horizonOn the essential spectrum of the transfer operator for expanding Markov mapsUniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic mapsPeriodic orbits as the skeleton of classical and quantum chaosResonant forcing of chaotic dynamicsGeneralized spectral decomposition of the \(\beta\)-adic baker's transformation and intrinsic irreversibilityRenyi entropies, lyapunov exponents and dimension spectra for analytically perturbed piecewise linear mapsDYNAMICAL CHAOS AND NONEQUILIBRIUM STATISTICAL MECHANICSExistence and non-existence of length averages for foliationsComplete spectral data for analytic Anosov maps of the torusQUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKSNon-Gaussian features of chaotic Hamiltonian transportRuelle-Pollicott resonances of stochastic systems in reduced state space. Part I: TheoryRuelle-Pollicott resonances of stochastic systems in reduced state space. Part III: Application to the Cane-Zebiak model of the El Niño-southern oscillationDetermination of correlation spectra in chaotic systemsNumerical experiments on billiards.Decay of correlations in one and two dimensions.Turbulence noise.On the spectra of randomly perturbed expanding mapsSensitive response to time dependent perturbations and spectral properties of deterministic chaos



Cites Work