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An embedding of {\bf C} in {\bf C}$^2$ with hyperbolic complement

Mathematics – Dynamical Systems
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An empirical model relating the auroral geomagnetic activity to the Interplanetary Magnetic Field

Mathematics – Dynamical Systems
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An ergodic theorem for non-invariant measures

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An estimate for the entropy of Hamiltonian flows

Mathematics – Dynamical Systems
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An example of $C^1$-generically wild homoclinic classes with index deficiency

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An example of a jump from chaos to integrability for magnetic geodesic flows

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An example of a Teichmuller disk in genus 4 with degenerate Kontsevich-Zorich spectrum

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An example of a topologically non-rigid foliation of the complex projective plane

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An example of how the Ricci Flow can increase topological entropy

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An example of instability in high-dimensional Hamiltonian systems

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An example of rapid evolution of complex limit cycles

Mathematics – Dynamical Systems
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An example of unbounded chaos

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An example showing that fibred quadratic polynomials admit many attracting curves

Mathematics – Dynamical Systems
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An existence of simple choreographies for N-body problem - a computer assisted proof

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An explicit Berry-Esséen bound for uniformly expanding maps on the interval

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An explicit formula for the determinant of the Abelian integral matrix

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An explicit mapping between the frequency domain and the time domain representations of nonlinear systems

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An Extended Canonical Perturbation Method

Mathematics – Dynamical Systems
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An Extended Fatou-Shishikura inequality and wandering branch continua for polynomials

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An extension of a theorem of Kesten to topological Markov chains

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