Results 1 to 10 of about 107 (102)
Birational Quadratic Planar Maps with Generalized Complex Rational Representations
Mathematics, 2023 Complex rational maps have been used to construct birational quadratic maps based on two special syzygies of degree one. Similar to complex rational curves, rational curves over generalized complex numbers have also been constructed by substituting the ...
Xuhui Wang +4 more
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Real Dynamics of Integrable Birational Maps [PDF]
Qualitative Theory of Dynamical Systems, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesc Mañosas, Mañosas Francesc
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On the degree growth of birational mappings in higher dimension [PDF]
Journal of Geometric Analysis, 2004 Let $f$ be a birational map of ${\bf C}^d$, and consider the degree complexity, or asymptotic degree growth rate $δ(f)=\lim_{n\to\infty}({\rm deg}(f^n))^{1/n}$. We introduce a family of elementary maps, which have the form $f=L\circ J$, where $L$ is (invertible) linear, and $J(x_1,...,x_d)=(x_1^{-1},...,x_d^{-1})$. We develop a method of regularization
Eric Bedford +2 more
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MathematicsThis paper explores the numerical intergator of ODE based on combination of Appelroth’s quadratization of dynamical systems with polynomial right-hand sides and Kahan’s discretization method.
Mikhail Malykh +3 more
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Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
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A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
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Piecewise-linear and birational toggling [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define piecewise-linear and birational analogues of toggle-involutions, rowmotion, and promotion on order ideals of a poset $P$ as studied by Striker and Williams.
David Einstein, James Propp
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The order of birational rowmotion [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Various authors have studied a natural operation (under various names) on the order ideals (equivalently antichains) of a finite poset, here called \emphrowmotion.
Darij Grinberg, Tom Roby
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On Birational Maps and Jacobian Matrices [PDF]
Compositio Mathematica, 2001 One is concerned with Cremona-like transformations, i.e., rational maps from $ P$ n to $ P$ m that are birational onto the ...
RUSSO, Francesco, SIMIS A.
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On degrees of birational mappings [PDF]
Mathematical Research Letters, 2020 We prove that the degrees of the iterates ${\rm deg}(f^n)$ of a birational map satisfy $\liminf({\rm deg}(f^n))
Cantat, Serge, Xie, Junyi
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