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...erences therein for recent developments in multifractal analysis. Now, nonuniformly hyperbolic systems attract more and more attentions. We refer the readers to Barreira & Pesin [4], Chung & Takahasi =-=[8]-=-, Johansson, Jordan, Oberg & Pollicott [12], Jordan & Rams [13], Liang, Liao, Sun & Tian [14], Liang, Liu & Sun [14], Liang, Sun & Tian [16], Oliveira [19], Oliveira & Viana [20], Wang & Sun [35] and ...

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...31], and a complete picture is emerging. For one-dimensional maps, several progresses have been made to relax these assumptions: allowing parabolic fixed points [11, 15, 18]; allowing critical points =-=[7, 8, 12, 14, 22]-=-. Nevertheless, litte is known on higher dimensional systems. Indeed, one can mention interesting recent developments [1, 28] on two-dimensional maps with parabolic fixed points. In these papers, howe...

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... in topological dynamical systems with g-almost product property. Now, nonuniformly hyperbolic systems attract more and more attentions. We refer the readers to Barreira & Pesin [2], Chung & Takahasi =-=[7]-=-, Johansson, Jordan, Oberg & 2 Pollicott [11], Jordan & Rams [12], Liang, Liao, Sun & Tian [13], Oliveira [14], Oliveira & Viana [15] and references therein for recent results in nonuniformly hyperbol...