{'fraction_non_alphanumeric': 0.011086474501108648, 'fraction_numerical': 0.0, 'mean_word_length': 5.746268656716418, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Fingerprints of Superpositions of Multifractals and Second Order Phase Transitions

Abstract The generic model of superimposed multifractal measures is discussed from the generalized entropy point of view. Natural conditions for the existence of second order critical lines are given. The second order phase transitions may manifest themselves in stopping points of the entropy-like thermodynamic functions. The findings are of experimental relevance.