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山东大学
169
On the Julia sets of the non-autonomous iteration of exponential maps
The talk focuses on the study of Julia sets arising from the non-autonomous iteration of exponential maps. These are complex dynamical systems where the function applied at each step may vary, leading to rich and varied fractal structures. The speaker will discuss recent results on the topological and geometric properties of such Julia sets, including connectivity, dimension, and dynamics under parameter variation.
报告介绍
This lecture explores the behavior of Julia sets in the context of non-autonomous iteration, where instead of iterating a single exponential map repeatedly, a sequence of possibly different exponential functions is used. This generalization leads to new phenomena not seen in classical complex dynamics. The talk will cover foundational concepts, recent advances, and open problems in this emerging area of holomorphic dynamics.
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