Multifractal analysis of local polynomial entropies for recurrence time

In this paper, we introduce the local polynomial entropies and mul-tifractal spectra associated with Poincaré recurrences. By using characteristics of a dynamical system we establish an exact formula on multifractal spectrum of local polynomial entropies for recurrence time. Mathematics Subject Classification (2010). 54H20, 37B20, 37B40.