Mohan, Madras Viswanathan GandhiCaramês, Lucas Giovanni da Possa2024-01-232024-01-232023-05-29CARAMÊS, Lucas Giovanni da Possa. Caminhadas de Lévy dentro de cascas esféricas com fronteiras absorventes. Orientador: Dr. Madras Viswanathan Gandhi Mohan. 2023. 82f. Tese (Doutorado em Física) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2023.https://repositorio.ufrn.br/handle/123456789/57396The Lévy Flight Foraging Hypothesis proposes that organisms have evolved to use Lévy walks as an e ective exploration strategy. There is substantial evidence in the literature supporting the notion that Lévy inverse square walks are optimal for foraging with revisits, regardless of dimensionality. However, more rigorous mathematical demonstrations of this phenomenon are still needed, especially for dimensions higher than 2. We investigate the foraging problem by considering the simpler case of concentric annuli or spherical shells, which is closely related to the full problem. By analyzing this approach, we show that Lévy inverse square walks are the optimal search strategy in the limit of foraging with revisits. This result is a strong evidence supporting the Lévy Flight Foraging Hypothesis in dimensions greater than 1.Acesso AbertoFísicaCaminhadas de LévyForrageamentoBusca ótimaAnéis concêntricosFronteiras absorventesdoctoralThesisCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA