{'fraction_non_alphanumeric': 0.010471204188481676, 'fraction_numerical': 0.0, 'mean_word_length': 5.5227272727272725, '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}}
Rare events in quantum tunneling

Small fluctuations of a potential barrier can generate very large fluctuations of the quantum tunneling transmission. The statistical properties of the tunneling transmission exhibit a rich behaviour associated to long-tail distributions. The large fluctuations modify the scaling properties of the tunneling transmission with the sample size. In some cases tunneling is dominated by the very few most probable paths. These large fluctuations can be relevant for electron transport through thin tunnel junctions or through complex systems.