Eduardo Silva


In Preparation*


  • Continuity of asymptotic entropy on free solvable groups.

  • The Poisson boundary of Baumslag-Solitar groups. joint with Kunal Chawla.

  • The Poisson boundary of Thompson's group T is not the circle. joint with Martín Gilabert Vio and Cosmas Kravaris.

    • Preprints


  • Continuity of asymptotic entropy on wreath products. (2025). Submitted.
    [arXiv version]
  • The Poisson boundary of wreath products. (2023) joint with Joshua Frisch. Submitted.
    [arXiv version]
    • Publications


  • The Poisson boundary of lampshuffler groups.
    Mathematische Zeitschrift Vol. 308, No. 46 (2024) [arXiv version]
  • Dead ends on wreath products and lamplighter groups.
    International Journal of Algebra and Computation Vol. 33, No. 08, pp. 1489-1530 (2023) [arXiv version]
  • Subshifts and colorings on ascending HNN-extensions of finitely generated abelian groups.
    Ergodic Theory and Dynamical Systems, Volume 42, Issue 12, December 2022, pp. 3792-3817 [arXiv version]

    • Thesis and Memoires


  • Poisson boundaries and asymptotic properties of wreath product like groups. (Defended on May 28, 2024)
    PhD in Mathematics, École Normale Supérieure de Paris
    Advisor: Anna Erschler.
  • Self-similar groups and simple amenable groups of Burnside type. (June 2021)
    Master 2 Mathématiques Fondamentales, Université Sorbonne Paris Nord (Paris 13).
    Advisor: Romain Tessera.
  • Subshifts on solvable Baumslag-Solitar groups. (June 2020)
    Master in Applied Mathematics & Mathematical Engineering, Universidad de Chile.
    Advisor: Michael Schraudner.


    • Footnote: "In preparation" means that the proofs are complete, but that we are still working on the exposition of the paper. Feel free to ask me about the results of these papers!