Banca de DEFESA: LUCAS GIOVANNI DA POSSA CARAMÊS

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : LUCAS GIOVANNI DA POSSA CARAMÊS
DATE: 29/05/2023
TIME: 09:00
LOCAL: online
TITLE:

Lévy walks inside annuli and spherical shells with absorbing boundaries

KEY WORDS:

lévy-walk, lévy, foraging problem, concentric annulus, absorbing boundaries, inverse square Lévy walks, optimize
search

PAGES: 75
BIG AREA: Ciências Exatas e da Terra
AREA: Física
SUMMARY:

The Lévy Flight Foraging Hypothesis proposes that organisms have evolved to use
Lévy walks as an effective 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

COMMITTEE MEMBERS:
Interno - 1345774 - CLAUDIONOR GOMES BEZERRA
Externo à Instituição - ERNESTO CARNEIRO PESSOA RAPOSO
Interno - 2492756 - JOAO MEDEIROS DE ARAUJO
Interno - 2411793 - LEONARDO DANTAS MACHADO
Presidente - 1294916 - MADRAS VISWANATHAN GANDHI MOHAN
Externo à Instituição - MARCOS GOMES ELEUTERIO DA LUZ