[PDF][PDF] A transcendental dynamical degree
arXiv:1907.00675v2 [math.DS] 12 Jan 2021 Page 1 A TRANSCENDENTAL DYNAMICAL
DEGREE JASON P. BELL, JEFFREY DILLER, AND MATTIAS JONSSON Abstract. We give an …
DEGREE JASON P. BELL, JEFFREY DILLER, AND MATTIAS JONSSON Abstract. We give an …
Degenerations of complex dynamical systems II: analytic and algebraic stability: With an appendix by Jan Kiwi
L DeMarco, X Faber - Mathematische Annalen, 2016 - Springer
We study pairs (f, Γ)(f, Γ) consisting of a non-Archimedean rational function f and a finite set
of vertices Γ Γ in the Berkovich projective line, under a certain stability hypothesis. We prove …
of vertices Γ Γ in the Berkovich projective line, under a certain stability hypothesis. We prove …
Full deautonomisation by singularity confinement as an integrability test
Since its introduction, the method of full deautonomisation by singularity confinement has
proved a strikingly effective way of detecting the dynamical degrees of birational mappings …
proved a strikingly effective way of detecting the dynamical degrees of birational mappings …
On the stabilisation of rational surface maps
RAP Birkett - arXiv preprint arXiv:2110.00095, 2021 - arxiv.org
The dynamics of a rational surface map $ f: X\dashrightarrow X $ are easier to analyse when
$ f $ isalgebraically stable'. Here we investigate when and how this condition can be …
$ f $ isalgebraically stable'. Here we investigate when and how this condition can be …
A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity
F Hu, TT Truong - arXiv preprint arXiv:2102.04405, 2021 - arxiv.org
Let $ X $ be a smooth projective variety over an algebraically closed field of arbitrary
characteristic, and $ f $ a dynamical correspondence of $ X $. In 2016, the second author …
characteristic, and $ f $ a dynamical correspondence of $ X $. In 2016, the second author …
Fatou components for conservative holomorphic surface automorphisms
E Bedford - Geometric Complex Analysis: In Honor of Kang-Tae …, 2018 - Springer
Fatou Components for Conservative Holomorphic Surface Automorphisms | SpringerLink Skip
to main content Advertisement SpringerLink Account Menu Find a journal Publish with us Track …
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Subgroups of Cremona groups
C Urech - 2017 - edoc.unibas.ch
The Cremona group in n-variables Cr_n (C) is the group of birational transformations of the
complex projective n-space. This thesis contributes to the research on Cremona groups …
complex projective n-space. This thesis contributes to the research on Cremona groups …
Algebraic Stability for Skew Products
RAP Birkett - arXiv preprint arXiv:2408.02658, 2024 - arxiv.org
In this article we study algebraic stability for rational skew products in two dimensions $\phi:
X\dashrightarrow X $, ie maps of the form $\phi (x, y)=(\phi_1 (x),\phi_2 (x, y)) $. We prove …
X\dashrightarrow X $, ie maps of the form $\phi (x, y)=(\phi_1 (x),\phi_2 (x, y)) $. We prove …
On homomorphisms between Cremona groups
C Urech - Annales de l'Institut Fourier, 2018 - numdam.org
We look at algebraic embeddings of the complex Cremona group in n variables Crn to the
group of birational transformations Bir (M) of an algebraic variety M. First we study …
group of birational transformations Bir (M) of an algebraic variety M. First we study …
The dynamical degree of billiards in an algebraic curve
M Weinreich - arXiv preprint arXiv:2305.14287, 2023 - arxiv.org
We introduce an algebraic formulation of billiards on plane curves over algebraically closed
fields, extending Glutsyuk's complex billiards. For any smooth algebraic curve $ C $ of …
fields, extending Glutsyuk's complex billiards. For any smooth algebraic curve $ C $ of …