Thermodynamic Formalism for a Class of Hyperbolic Transcendental Meromorphic Functions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916784054992896 |
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| author | Naderiyan, Hamid |
| author_facet | Naderiyan, Hamid |
| contents | This paper studies the thermodynamic formalism in the context of complex dynamics. We establish the thermodynamics formalism for the class of hyperbolic transcendental meromorphic functions of B-class, where the poles have bounded multiplicities, the Nevanlinna order is finite, and infinity is not an asymptotic value. We showed the existence and uniqueness of the conformal measure and the invariant Gibbs measure equivalent to the conformal measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamic Formalism for a Class of Hyperbolic Transcendental Meromorphic Functions Naderiyan, Hamid Dynamical Systems Complex Variables 37, 30 This paper studies the thermodynamic formalism in the context of complex dynamics. We establish the thermodynamics formalism for the class of hyperbolic transcendental meromorphic functions of B-class, where the poles have bounded multiplicities, the Nevanlinna order is finite, and infinity is not an asymptotic value. We showed the existence and uniqueness of the conformal measure and the invariant Gibbs measure equivalent to the conformal measure. |
| title | Thermodynamic Formalism for a Class of Hyperbolic Transcendental Meromorphic Functions |
| topic | Dynamical Systems Complex Variables 37, 30 |
| url | https://arxiv.org/abs/2506.06760 |