DOI10.1090/S0273-0979-1992-00328-2zbMath0763.28009OpenAlexW2013722052WikidataQ29027166 ScholiaQ29027166MaRDI QIDQ4020138
James A. Yorke, Brian R. Hunt, Timothy Sauer
Publication date: 16 January 1993
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0273-0979-1992-00328-2
Pattern formation in a nonlinear model for animal coats,
Noiseless regularisation by noise,
What to maximize if you must,
A theorem of Piccard's type and its applications to polynomial functions and convex functions of higher orders,
Null-finite sets in topological groups and their applications,
On the divergence of Birkhoff normal forms,
Detection of symmetry of attractors from observations. I: Theory,
The center of a convex set and capital allocation,
How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?,
Joint production in teams,
Generic determinacy of equilibria with local substitution,
Some prevalent sets in multifractal analysis: how smooth is almost every function in \(T_p^\alpha(x)\),
A dichotomy for a class of cyclic delay systems,
Non-implementability of Arrow-Debreu equilibria by continuous trading under volatility uncertainty,
The Hausdorff dimension of graphs of prevalent continuous functions,
On the observer design problem for continuous-time switched linear systems with unknown switchings,
Examples of \(L^2\)-complete and boundedly-complete distributions,
Probability of local bifurcation type from a fixed point: a random matrix perspective,
Germ-typicality of the coexistence of infinitely many sinks,
A theorem of Piccard's type in abelian Polish groups,
Prevalence of locally parameter identifiable systems,
Singularities in dynamics: a catastrophic viewpoint,
Some mathematical models in phase transition,
Free boundary regularity for almost every solution to the Signorini problem,
Absolute continuity of stable foliations for mappings of Banach spaces,
A weak local irregularity property in \(S^\nu \) spaces,
How smooth is almost every function in a Sobolev space?,
Category-measure duality: convexity, midpoint convexity and Berz sublinearity,
Kolmogorov-Sinai entropy via separation properties of order-generated \(\sigma\)-algebras,
Reynolds number dependence of the structure functions in homogeneous turbulence,
Abundance of fast growth of the number of periodic points in two-dimensional area-preserving dynamics,
On Haar meager sets,
Topics of measure theory on infinite dimensional spaces,
Efficient sets are small,
Monotonic cocycles,
Prevalence in the space of finitely smooth maps,
Haar null sets without \(G_{\delta}\) hulls,
Global theory of one-frequency Schrödinger operators,
Haar ambivalent sets in the space of continuous functions,
Phase transitions in rate distortion theory and deep learning,
Prevalent behavior of strongly order preserving semiflows,
Dimensions of prevalent continuous functions,
Closed-form solution of visual-inertial structure from motion,
Observing Lyapunov exponents of infinite-dimensional dynamical systems,
Divergence of wavelet series: a multifractal analysis,
An algorithm for computing non-concave multifractal spectra using the \(S^\nu\) spaces,
Generic Nekhoroshev theory without small divisors,
On the measure of KAM tori in two degrees of freedom,
Undominated sequences of integrable functions,
Voronoi languages: equilibria in cheap-talk games with high-dimensional types and few signals,
Delay embedding of periodic orbits using a fixed observation function,
Differentiability of continuous functions in terms of Haar-smallness,
Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles,
Smooth attractors have zero ``thickness, Attractors and finite-dimensional behaviour in the 2D Navier-Stokes equations, Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions, A discrete time neural network model with spiking neurons, Generic difference of expected vote share and probability of victory maximization in simple plurality elections with probabilistic voters, Dimension distortion by Sobolev mappings in foliated metric spaces, Monotone dynamical systems: reflections on new advances \& applications, Openly Haar null sets and conjugacy in Polish groups, Adaptation of the generic PDE's results to the notion of prevalence, Generalizations of SRB measures to nonautonomous, random, and infinite dimensional systems, Balance and discontinuities in infinite games with type-dependent strategies, A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I, Kupka-Smale theorem for polynomial automorphisms of \(\mathbb C^{2}\) and persistence of heteroclinic intersections, Enveloping manifolds, Prevalent, as opposed to generic, properties of continuous images, Dichotomies of the set of test measures of a Haar-null set, Some generic properties in analysis,, Regularity criteria for almost every function in Sobolev spaces, Physical measures for partially hyperbolic surface endomorphisms, Generic results in classes of ultradifferentiable functions, From limit cycles to strange attractors, Linear latent structure analysis: mixture distribution models with linear constraints, Topological properties of the sequence spaces \(S^{\nu }\), On the number of Mather measures of Lagrangian systems, \(T^{[p}\)-formalism in Besov spaces], The basic attractor and the remainder of homo- and heteroclinic orbits, On the Liouville phenomenon in estimates of fractal dimensions of forced quasi-periodic oscillations, Advanced topology on the multiscale sequence spaces \(S^\nu \), Existence and uniqueness of translation invariant measures in separable Banach spaces, Some analogies between Haar meager sets and Haar null sets in abelian Polish groups, Haar negligibility of positive cones in Banach spaces, \(K\)-subadditive and \(K\)-superadditive set-valued functions bounded on ``large sets,
Solving the Babylonian problem of quasiperiodic rotation rates,
Measures on topological spaces,
Uncertainty and robustness of surplus extraction,
Embedology,
Differentiable measures and the Malliavin calculus,
Haar-smallest sets,
Matching of observations of dynamical systems, with applications to sequence matching,
Extended gradient of convex function and capital allocation,
Analog computation with dynamical systems,
Avoiding \(\sigma\)-porous sets in Hilbert spaces,
Algebrability and nowhere Gevrey differentiability,
Diophantine approximation in Banach spaces,
A theory of complexity for continuous time systems,
Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps,
On the Shroer-Sauer-Ott-Yorke predictability conjecture for time-delay embeddings,
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems,
Typical properties of ergodic optimization for asymptotically additive potentials,
Nonparametric Bayesian Aggregation for Massive Data,
Almost blenders and parablenders,
Measurements of a Physical Process Satisfy a Difference Equation,
FRACTAL BASES OF Lp SPACES,
Robustness of Solutions of Almost Every System of Equations,
Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles,
The error term in the prime orbit theorem for expanding semiflows,
Generic regularity of free boundaries for the thin obstacle problem,
Prevalent mixed Hölder spectra and mixed multifractal formalism in a product of continuous Besov spaces,
Robust steady states in ecosystems with symmetries,
Mixing for Generic Rough Shear Flows,
On the 1-prevalent continuous functions on compact sets and dimensions,
Unnamed Item,
Structured Systems of Nonlinear Equations,
Complexities of differentiable dynamical systems,
Existence of real time quantum path integrals,
On norm-based estimations for domains of attraction in nonlinear time-delay systems,
Multichaos from Quasiperiodicity,
On the topology of nearly-integrable Hamiltonians at simple resonances,
On the prevalence of the periodicity of maximizing measures,
On a Smale theorem and nonhomogeneous equilibria in cooperative systems,
Monotone bifurcation graphs,
Bruckner–Garg-Type Results with Respect to Haar Null Sets inC[0, 1],
Haar null and Haar meager sets: a survey and new results,
Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values,
Extreme value distributions of observation recurrences,
Intermingled basins for the triangle map,
On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators,
Log-Lipschitz embeddings of homogeneous sets with sharp logarithmic exponents and slicing products of balls,
Dimension estimates in smooth dynamics: a survey of recent results,
Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values,
ON A CONJECTURE REGARDING THE UPPER GRAPH BOX DIMENSION OF BOUNDED SUBSETS OF THE REAL LINE,
On genericG-prevalent properties and a quantitative K-S theorem forCrdiffeomorphisms of the circle,
A VIEW OF NEURAL NETWORKS AS DYNAMICAL SYSTEMS,
The Prevalence of Continuous Nowhere Differentiable Functions,
PrevalentLq-dimensions of measures,
Stable coexistence and bi-stability for competitive systems on ordered Banach spaces,
Descriptive set Theory of Families of Small Sets,
Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski,
Prevalence. An addendum to: “Prevalence: a translation-invariant ‘almost every’ on infinite-dimensional spaces” [Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 217–238; MR1161274 (93k:28018)],
Prevalence,
Principal Foliations of Surfaces near Ellipsoids,
The horizon problem for prevalent surfaces,
On the Kolmogorov Complexity of Continuous Real Functions,
Prevalent behavior of smooth strongly monotone discrete-time dynamical systems,
Embedding of global attractors and their dynamics,
Generic super-exponential stability of invariant tori in Hamiltonian systems,
Almost bi-Lipschitz embeddings and almost homogeneous sets,
Ergodic optimization in dynamical systems,
NON-DIFFERENTIABLE DEFORMATIONS OF ℝn,
On chaos in general semiflows,
Generalized spaces of pointwise regularity: toward a general framework for the WLM,
Prevalent uniqueness in ergodic optimisation,
The Many Facets of Chaos,
Cyclicity in families of circle maps,
The gap between probability and prevalence: Loneliness in vector spaces,
Shy shadows of infinite-dimensional partially hyperbolic invariant sets
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- Bifurcation to infinitely many sinks
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The exponential map is not recurrent
- How often do simple dynamical processes have infinitely many coexisting sinks?
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- Wild hyperbolic sets, yet no chance for the coexistence of infinitely many KLUS-simple Newhouse attracting sets
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Embedology
- Ergodicity of Anosov actions
- Differentiable manifolds
- On the existence of a measure invariant under a transformation
- Iteration of analytic functions
- Complex analytic dynamics on the Riemann sphere
- On iterates of ez
- Differential Topology
- Pseudocircles in Dynamical Systems
- The Prevalence of Continuous Nowhere Differentiable Functions
- Hausdorff Conullity of Critical Images of Fredholm Maps
- The measure of the critical values of differentiable maps