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Welcome to my personal webpage

Since September 2016, I am maître de conférence in Dijon.

In the academic year 2018/19 I will be working at Lille (délégation at INRIA and Laboratoire Paul Painlévé).

Contact: michele [dot] triestino *at* u-bourgogne [dot] fr

NEW: One-dimensional actions of 3-manifold groups. workshop in Dijon, November 4-8 2019. See the webpage.

Research

At the present moment I am studying groups of circle diffeomorphisms that could be considered as geometrically finite inside \(\mathrm{Diff}(\mathbf{S}^1)\). In general, I am interested in group actions on low-dimensional manifolds, with problems coming from foliation theory and/or group theory.

In preparation:

surface

Publications and preprints:

  1. One-dimensional actions of Higman's group,
    (joint work with Cristóbal Rivas) [arXiv]
  2. Groups of piecewise linear homeomorphisms of minimal flows,
    (joint work with Nicolás Matte Bon) [arXiv]
  3. Property FW, differentiable structures, and smoothability of singular actions,
    submitted (joint work with Yash Lodha and Nicolás Matte Bon) [arXiv]
  4. Cut-off method for endogeny of recursive tree processes,
    (joint work with Victor Kleptsyn) [arXiv]
  5. Groups with infinitely many ends acting analytically on the circle,
    submitted (joint work with Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn, Dominique Malicet, Carlos Meniño and Andrés Navas) [arXiv]
  6. Ping-pong configurations and circular orders on free groups,
    to appear in Groups Geom. Dyn. (joint work with Dominique Malicet, Kathryn Mann and Cristóbal Rivas) [arXiv]
  7. Hyperbolicity as obstruction to smoothability for one-dimensional actions,
    to appear in Geom. Topol. (joint work with Christian Bonatti and Yash Lodha) [arXiv]
  8. Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations,
    Commun. Math. Phys. 345, no. 1 (2016), 1–76 (joint work with Mikhail Khristoforov and Victor Kleptsyn) [CMP, arXiv].
  9. Généricité au sens probabiliste dans les difféomorphismes du cercle,
    Ensaios Matemáticos 27, Soc. Brasil. Mat. (2014), 1–99. [EM, arXiv]
  10. On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number,
    Math. Z. 274, no. 1 (2013), 315–321 (joint work with Andrés Navas) [Math. Z., arXiv]
BSinG0geodesics langues

Workshop: Groups acting on manifolds. I was the organizer for a workshop for young researchers, Teresópolis, June 20-24 2016.


CV (April 2019)

My wife, Marielle Simon is also a mathematician.


dinamicarioca Dinamicarioca: Dynamical Systems in Rio de Janeiro and Niterói.

Expository notes:

Notes: Filippo Bracci, Loewner's Theory from the deterministic point of view (Cortona 2010) (eternal draft).