Nevanlinna theory through the Brownian motion

DOI10.1007/s11425-019-9548-yzbMath1435.32004OpenAlexW2951885860WikidataQ127664911 ScholiaQ127664911MaRDI QIDQ2010434

Min Ru, Yan He, Xianjing Dong

Publication date: 27 November 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-019-9548-y

zbMATH Keywords

Nevanlinna theoryholomorphic curvesBrownian motionsfirst and second main theorems

Mathematics Subject Classification ID

Brownian motion (60J65) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

Related Items (2)

CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS ⋮ Nevanlinna and algebraic hyperbolicity

Cites Work

• Brownian motion martingales and stochastic calculus
• A second main theorem of Nevanlinna theory for meromorphic functions on complete Kähler manifolds
• Nevanlinna theory via stochastic calculus
• Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces
• Brownian Motion and Nevanlinna Theory
• Picard's Theorem and Brownian Motion
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