Heat diffusions on holomorphic foliations with non-degenerate singularities

DOI10.1007/s12220-023-01485-6arXiv2304.00239OpenAlexW4389268510MaRDI QIDQ6143871

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Publication date: 5 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00239

zbMATH Keywords

harmonic measuresingular holomorphic foliationleafwise Poincaré metricheat diffusionsdirected positive harmonic current

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Unnamed Item
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• Heat equation and ergodic theorems for Riemann surface laminations
• Foliations, the ergodic theorem and Brownian motion
• Riemann surface laminations with singularities
• Algebraic solutions of one-dimensional foliations
• Equations de Pfaff algébriques
• Prolongement des courants, positifs, fermes de masse finie
• Ergodic theory for Riemann surface laminations: a survey
• Some open problems on holomorphic foliation theory
• Ergodic theorems for laminations and foliations: recent results and perspectives
• Unique ergodicity for foliations on compact Kähler surfaces
• [https://portal.mardi4nfdi.de/wiki/Publication:2710399 Uniformization and the Poincar� metric on the leaves of a foliation by curves]
• Entropy for hyperbolic Riemann surface laminations II
• Hermitian metrics inducing the Poincaré metric, in the leaves of a singular holomorphic foliation by curves
• Oseledec multiplicative ergodic theorem for laminations
• On closed currents invariant by holomorphic foliations, I
• Poincaré metric of holomorphic foliations with non-degenerate singularities
• Directed harmonic currents near non-hyperbolic linearizable singularities

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