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Orbits of $f(z) = 2z^3+z.$

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#polynomials #arithmetic-dynamics
240
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Sharkovsky theorem and proving existence of a period three orbit

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#real-analysis #dynamical-systems #arithmetic-dynamics
244
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Dynamics: circle diffeo with an irrational rotation number and its rational approximation

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#dynamical-systems #arithmetic-dynamics
299
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Why Study Critical Polynomials?

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#algebraic-geometry #soft-question #dynamical-systems #complex-dynamics #arithmetic-dynamics
184
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Critical polynomial roots bigger than 2

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#numerical-methods #dynamical-systems #sagemath #complex-dynamics #arithmetic-dynamics
58
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What are the prerequisites for learning Arithmetic dynamics?

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#reference-request #arithmetic-dynamics
58
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Why are rotation numbers not homomorphic?

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#dynamical-systems #rotations #ergodic-theory #big-picture #arithmetic-dynamics
236
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A rational orbit that's provably dense in the reals?

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#sequences-and-series #dynamical-systems #rational-numbers #rational-functions #arithmetic-dynamics
362
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Behavior of a Collatz-like mod-4 sequence: Do some numbers increase without limit?

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#sequences-and-series #collatz-conjecture #arithmetic-dynamics
318
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Measure on torus invariant under multiplication

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#measure-theory #ergodic-theory #arithmetic-dynamics
559
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Measure-preserving mapping

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#measure-theory #ergodic-theory #arithmetic-dynamics
256
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Divisibility of an expression involving the Möbius function

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#combinatorics #elementary-number-theory #complex-dynamics #arithmetic-dynamics
77
Views

Looking for articles on postcritically finite rational maps in Russian or French

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#general-topology #reference-request #dynamical-systems #arithmetic-dynamics #mathematical-russian
271
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Polynomial iterates with finite/infinite orbits

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#number-theory #arithmetic-dynamics
664
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Crazy patterns arising from recursive sequence of functions

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#continued-fractions #pattern-recognition #arithmetic-dynamics

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