Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.
Valuations centered at a two-dimensional regular local ring: Infima and Topologies
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abstract
The aim of this paper is to prove that every non-empty set of valuations centered at a two-dimensional regular domain has an infimum. We also generalize some results related to a non-metric tree.
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math.DS 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
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Non-Archimedean techniques and dynamical degenerations
Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.