(next to Arnol'd, at Novodevichy Cemetery, Moscow)

# Welcome to my personal webpage

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

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

Research

At the present moment I am studying groups of circle diffeomorphisms that could be considered as lattices inside $$\mathrm{Diff}(\mathbf{S}^1)$$ (even if the notion of lattice is unclear). Here is a brief presentation of a first naive conjecture.

In preparation:

• Hyperbolicity as obstruction to smoothability for one-dimensional actions,
in preparation (joint work with Christian Bonatti and Yash Lodha).
• Markov partitions and locally discrete groups of real-analytic circle diffeomorphisms,
in preparation (joint work with Sébastien Alvarez, Pablo Barrientos, Dmitry Filimonov, Victor Kleptsyn, Dominique Malicet, and Carlos Meniño).

Publications and preprints:

• Cut-off method for endogeny of recursive tree processes,
submitted (joint work with Victor Kleptsyn) [Arxiv].
• Groups with infinitely many ends acting analytically on the circle,
revised and submitted (joint work with Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn, Dominique Malicet, Carlos Meniño and Andrés Navas) [Arxiv]
• 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].
• Généricité au sens probabiliste dans les difféomorphismes du cercle,
Ensaios Matemáticos 27, Soc. Brasil. Mat. (2014). [EM, Arxiv]
• 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]

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

CV (December 2016) and Lattes.

My wife, Marielle Simon is also a mathematician.

Dinamicarioca: Dynamical Systems in Rio de Janeiro and Niterói.

Expository notes: Presentation of Lodha-Moore group (February 3rd, 2014).

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