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Mutual Autism in Random Walks

Children with autism spectrum disorder have deficits in their communication and social interaction. Symptoms such as lack of socio-emotional reciprocity, problems to initiate or respond to social interactions, understand, develop relationships, abnormalities in eye contact and body expression, exhibit restricted interests, and thus patterns of repetitive behavior are observed in routine neurological exams. Based on these symptoms and new diagnostic tools, which assess social communication and interaction in multiple contexts, we propose discrete random walks as a diagnostic tool. Our model, based on symptoms of autism such as lack of social interaction and restricted interests, consists of random walks that can learn and imitate each other microscopically with probability f (1 − f, otherwise). In this perspective, the probability f quantifies the mutual interaction between pairs of random walkers, While the exponent of Hurst (H) classifies the difusivos regimes, and their variation quantifies the transitions between varying degrees of autism to the pair of random walkers. We report how the interaction of an individual who presents (does not present) the symptoms of autism, affects the diffusive regimes of an individual who does not have this disorder.


Thiago RS Moura*, Anderson JA Ramos and Andŕe JA Ramos

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