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October 13, 2025Open Access

A birational map of a projective space whose intermediate dynamical degrees are all transcendental

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The study constructs a birational map of projective space with all intermediate dynamical degrees being transcendental.
Intermediate dynamical degrees of the birational map transcend typical algebraic values, showcasing unique properties of the mapping.
This map is explored within projective spaces of dimension 6 and higher, broadening the scope of classical dynamical systems.
Implications suggest new geometric insights in the realm of birational and dynamical systems in higher dimensions.

This research reveals a birational map with transcendental dynamical degrees in projective spaces, indicating new geometric properties.

We construct a birational map of Pᵈ (d≥6) whose intermediate dynamical degrees are all trancendental.

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Yutaro Sugimoto (2025) studied this question.

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This research reveals a birational map with transcendental dynamical degrees in projective spaces, indicating new geometric properties.

We construct a birational map of Pᵈ (d≥6) whose intermediate dynamical degrees are all trancendental.