{'fraction_non_alphanumeric': 0.02197802197802198, 'fraction_numerical': 0.0, 'mean_word_length': 5.194174757281553, '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}}
Geometric Aspects of Fleming-viot and Superprocesses

The main purpose of this paper is to show that the intrinsic metric of the Fleming-Viot process is given by anàngular distance' on the space of probability measures. It turns out that it is closely related to the branching structure of a continuous superprocess, which itself induces the Kakutani-Hellinger distance. The corresponding ge-ometries are studied in some detail. In particular, representation formulae for geodesics and arc length functionals are obtained. As an application, a functional limit theorem for super-Brownian motion conditioned to local extinction is proved.