Barboza, Francisco MárcioAndrade Filho, Evandir Linhares de2025-07-312025-07-312025-07-25ANDRADE FILHO, Evandir Linhares de Andrade. Simulação de passeios aleatórios: algoritmos e experimentos. Orientador: Francisco Márcio Barboza. 2025. 12 f. Trabalho de Conclusão de Curso - TCC (graduação) - Universidade Federal do Rio Grande do Norte, Centro de Ensino Superior do Seridó, Sistemas de Informação, Caicó, RN, 2025.https://repositorio.ufrn.br/handle/123456789/65040The random walk is a fundamental model in stochastic processes, with relevant applications in physics, biology, finance, and computer science. In this work, we present a theoretical and computational approach to the study of one-dimensional random walks, emphasizing numerical simulation and the validation of results through comparisons with known analytical solutions. We explore efficient simulation algorithms and apply these tools to the classic problem of return to the origin, analyzing the probability of an agent returning to the initial position after a given number of steps. The results show excellent agreement between simulation and theory, and also highlight the diffusive and probabilistic nature of the process. The graphical analysis of trajectories and probabilities reinforces the importance of numerical methods for understanding and teaching dynamic stochastic systems.pt-BRAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/Passeio AleatórioMonte CarloProcessos Estocásticos.Random WalkMonte CarloStochastic ProcessesbachelorThesisCIENCIAS EXATAS E DA TERRA