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Round-off errors andp-adic numbers

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Publication:4787956
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DOI10.1088/0951-7715/13/1/315zbMath1009.65077OpenAlexW2017758609MaRDI QIDQ4787956

Franco Vivaldi, D. Bosio

Publication date: 6 February 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/1/315


zbMATH Keywords

dynamical systemsymbolic dynamics\(p\)-adic numbersquadratic number fieldBernoulli shiftround-off errorsalgebraic number theorydiscrete phase spacelinear planar rotations


Mathematics Subject Classification ID

Roundoff error (65G50) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Numerical chaos (65P20)


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Nonlinear rotations on a lattice ⋮ Scaling dynamics of a cubic interval-exchange transformation ⋮ Complexity of regular invertiblep-adic motions ⋮ Numerical analysis for a discontinuous rotation of the torus ⋮ PSEUDO-RANDOMNESS OF ROUND-OFF ERRORS IN DISCRETIZED LINEAR MAPS ON THE PLANE ⋮ DYNAMICAL CHARACTERISTICS OF DISCRETIZED CHAOTIC PERMUTATIONS ⋮ Small denominators in complex \(p\)-adic dynamics ⋮ Asymptotics in a family of linked strip maps



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