. Moreover, an equality between the (asymptotic of the) Arnold complexity and the (exponential of the) topological entropy has … “topological” complexities (Arnold complexity and topological entropy) are modified according to this real-variables point of view … between the (asymptotic of the) “real Arnold complexity” and the (exponential of the) “real topological entropy”. A detailed …

dynamical zeta function. This leads, at least in this example, to an equality between the Arnold complexity and the exponential … of the topological entropy. We also give a semi-numerical method to effectively compute the Arnold complexity. … coefficients. This yields an algebraic value for the topological entropy. Furthermore, the generating function for the Arnold …