4 problems
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Maximal degree-growth conjecture for integrable mappings
Let denote the degree growth of an integrable mapping on . A mapping has quadratic growth when its degree growth is of order , and a mapping is linearizable w…
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Silverman's polynomial-growth conjecture for birational mappings
Let be a birational mapping on with dynamical degree , and let denote the degree of its -th iterate. Silve…
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Central limit conjecture for degree growth of tame automorphisms
Let be the affine quadric threefold and let be its tame automorphism group. Let be a symmetric atomic measure on , let be its -fold convolution…
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Auriac–Maillard–Viallet conjecture on degree complexity of matrix inversion
Auriac–Maillard–Viallet conjecture. For every ,