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math.DS2025★ 1 cited
Incomplete crossing and semi-topological horseshoes
Junfeng Cheng, Xiao-Song Yang
This paper enriches the topological horseshoe theory using finite subshift theory in symbolic dynamical systems, and develops an elementary framework addressing incomplete crossing…
math.DS2024
Probability of constructing prediction model for observable of a dynamical process via time series
Xiao-Song Yang
One fundamental problem in studying dynamical process is whether it is possible and how to construct prediction model for an unknown system via sampled time series, especially in t…