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  1. Speed of convergence and moderate deviations of FPP on random geometric graphs

    Article • Stochastic Processes and their Applications, September 2025, Elsevier

    Lucas R. de Lima

  2. Infinite-dimensional genetic and evolution algebras generated by Gibbs measures

    Article • Journal of Mathematical Physics, May 2025, American Institute of Physics

    Lucas R. de Lima

  3. Generic spectrum of the weighted Laplacian operator on Cayley graphs

    Article • Letters in Mathematical Physics, June 2024, Springer Science + Business Media

    Lucas R. de Lima

  4. Limiting shape for first-passage percolation models on random geometric graphs

    Article • Journal of Applied Probability, April 2023, Cambridge University Press

    Lucas R. de Lima

  5. The asymptotic shape theorem for the frog model on finitely generated abelian groups

    Article • ESAIM Probability and Statistics, January 2021, EDP Sciences

    Lucas R. de Lima

  6. Limit theorems for a random walk with memory perturbed by a dynamical system

    Article • Journal of Mathematical Physics, October 2020, American Institute of Physics

    Renato Gava, Lucas R. de Lima

  7. Limit theorems for a minimal random walk model

    Article • Journal of Statistical Mechanics Theory and Experiment, August 2019, Institute of Physics Publishing

    Lucas R. de Lima