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Height argument for post critically finite $z^2+c$

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#number-theory #arithmetic-dynamics
59
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Prove that $(ϕ^n )' (α) = \prod_{ i=0}^{n-1}ϕ'( ϕ^i (α)) $

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#calculus #functions #taylor-expansion #dynamical-systems #arithmetic-dynamics
596
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Every quadratic polynomial is conjugate to one of the polynomial $z^2+t$

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#algebraic-geometry #polynomials #dynamical-systems #moduli-space #arithmetic-dynamics
2.4k
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ODE with infinitely many solutions

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#ordinary-differential-equations #initial-value-problems #arithmetic-dynamics
98
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Problem 3.8 of Silverman's 'Arithmetic of Dynamical Systems'

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#arithmetic-dynamics
116
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Finding an upper bound to the order of finite subgroup of the automorphism group of rational map

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#algebraic-geometry #dynamical-systems #automorphism-group #complex-dynamics #arithmetic-dynamics
212
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Some extended question on bounds of Rational map

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#algebraic-geometry #algebraic-number-theory #dynamical-systems #projective-space #arithmetic-dynamics
50
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Can I get a map $f: \Bbb P^2 \to \Bbb P^2$ defined by the monomial dehomogenization $[z_1, z_2] → [z_1^2z_2, z_1z_2]$ birational such that $fσ=σf$?

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#algebraic-geometry #commutative-algebra #projective-space #complex-dynamics #arithmetic-dynamics
92
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About Network Dynamics

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#abstract-algebra #group-theory #graph-theory #dynamical-systems #arithmetic-dynamics
70
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Preperiodic point and Group Torsion

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#dynamical-systems #arithmetic-dynamics
244
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What is the topological entropy of the Collatz map (extended to 2-adic integers)?

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#dynamical-systems #entropy #collatz-conjecture #arithmetic-dynamics
65
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Accumulation point for closure wrt two particular contracting affine maps on $(-1,1)$

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#sequences-and-series #dynamical-systems #arithmetic-dynamics
97
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$||g_n||_{\infty} < \delta_{n-1}(g)$

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#calculus #analysis #dynamical-systems #supremum-and-infimum #arithmetic-dynamics
85
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does a slight change in a real value cause a massive change from finite to infinite?

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#sequences-and-series #number-theory #dynamical-systems #abc-conjecture #arithmetic-dynamics
60
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While solving the motion in plane problems (dynamics) how to figure out whether the radial accelration is 0 or mgsin(theta)?

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#fluid-dynamics #nonlinear-dynamics #arithmetic-dynamics

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