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On the Julia sets of the non-autonomous iteration of exponential maps

Year: 2026
Type: preprint
Abstract: This paper studies non-autonomous iterations of $λe^z$, where at each step the parameter $λ$ is chosen from a bounded interval. Urbański and Zdunik introduced and developed a thermodynamic formalism for random dynamics of exponential maps, extending the autonomous result established independently by Rees and Lyubich to typical parameter sequences in $[A, B]^{\mathbb{N}}$ with $1/e
Language: English
Open Access status: green
OpenAlex ID: W7221756653
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