Rigorous statistical procedures for data from dynamical systems

The Fractal Geometry of Nature

1983 • 22,064 citations

Deterministic Nonperiodic Flow

1963 • 18,282 citations

The Fractal Geometry of Nature.

1984 • 15,007 citations

Graduate Texts in Mathematics

1977 • 8,367 citations

Simple mathematical models with very complicated dynamics

1976 • 6,489 citations

Measuring the strangeness of strange attractors

1983 • 5,440 citations

Applied Mathematical Sciences

1973 • 4,259 citations

An Introduction to Ergodic Theory

1981 • 3,414 citations

An Introduction to Ergodic Theory

1982 • 3,214 citations

Ergodic Theory

1982 • 3,048 citations

Independent and stationary sequences of random variables

1971 • 2,159 citations

Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos

1974 • 1,622 citations

Period Three Implies Chaos

1975 • 1,375 citations

The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors

1982 • 1,194 citations

The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors.

1984 • 1,176 citations

Measure and Category

1971 • 1,038 citations

Ergodic Theory

1982 • 1,032 citations

B. Mandelbrot: The Fractal Geometry of Nature, Freeman and Co., San Francisco 1982. 460 Seiten, Preis: £ 22,75.

1985 • 740 citations

Introduction to the Theory of Nonparametric Statistics.

1980 • 735 citations

Introduction to the theory of nonparametric statistics

1979 • 730 citations

The liapunov dimension of strange attractors

1983 • 484 citations

Ergodic Theory

1983 • 457 citations

Some Limit Theorems for Random Functions. II

1961 • 453 citations

Functional Differential Equations and Approximation of Fixed Points

1979 • 443 citations

Sensitive dependence to initial conditions for one dimensional maps

1979 • 424 citations

Limiting behavior of U-statistics for stationary, absolutely regular processes

1976 • 323 citations

Ergodic Properties of Invariant Measures for Piecewise Monotonic Transformations

1982 • 322 citations

Absolutely continuous measures for certain maps of an interval

1981 • 295 citations

Topics in Ergodic Theory

1981 • 283 citations

Ergodic properties of invariant measures for piecewise monotonic transformations

1982 • 241 citations

Time Series Analysis.

1961 • 222 citations

On U-statistics and v. mise? statistics for weakly dependent processes

1983 • 221 citations

Time Series Analysis

1967 • 196 citations

Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors

1982 • 164 citations

Recurrences and Discrete Dynamic Systems

1980 • 163 citations

Generalized bounded variation and applications to piecewise monotonic transformations

1985 • 143 citations

Intermediate Statistical Methods.

1982 • 100 citations

Intermediate Statistical Methods

1981 • 59 citations

Equilibrium states for piecewise monotonic transformations

1982 • 55 citations

Fully developed chaotic 1?d maps

1984 • 54 citations

Approach to equilibrium for locally expanding maps in ? k

1984 • 39 citations

How chaotic is chaos? Chaotic and other “noisy” dynamics in the frequency domain

1979 • 33 citations

Ergodic Theory and Dynamical Systems II

1982 • 32 citations

Strange attractors and asymptotic measures of discrete-time dissipative systems

1983 • 30 citations

Absolute regularity and functions of Markov chains

1983 • 28 citations

Entropy and smooth dynamics

2008 • 4 citations