Publications and preprints

1. J. Brum, N. Matte Bon, C. Rivas, M. Triestino,
   A realisation result for moduli spaces of group actions on the line,
   [arXiv]
   Recorded talk at CRM, Montréal, May 2023.
2. J. Brum, N. Matte Bon, C. Rivas, M. Triestino,
   Solvable groups and affine actions on the line,
   [arXiv]
3. J. Brum, N. Matte Bon, C. Rivas, M. Triestino,
   Locally moving groups acting on the line and \(\mathbb{R}\)-focal actions,
   [arXiv]

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4. M. Triestino,
   Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval,
   Ann. Inst. Fourier (Grenoble), to appear [arXiv]

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5. C. Bonatti, J. Carnevale, M. Triestino,
   Non-locally discrete actions on the circle with at most \(N\) fixed points,
   Math. Z. 307 (2024), no. 1, paper no. 6 [DOI, arXiv]
   Recorded talk at ESI, Vienna, July 2023.
6. J. Alonso, S. Alvarez, D. Malicet, C. Meniño Cotón, M. Triestino,
   Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I : Construction,
   J. Comb. Algebra [DOI, arXiv]
   Slides from talk at a conference in Dubrovnik, June 2019.
7. S. Alvarez, P. G. Barrientos, D. Filimonov, V. Kleptsyn, D. Malicet, C. Meniño Cotón, M. Triestino,
   Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications,
   Comment. Math. Helv. 98 (2023), no. 4, 643–691 [DOI, arXiv]
8. K. Mann, M. Triestino,
   On the action of the \(\Sigma(2,3,7)\) homology sphere group on its space of left-orders,
   Fund. Math. 261 (2023), 297–302 [DOI, arXiv]
9. M. Triestino,
   On James Hyde's example of non-orderable subgroup of \(\mathrm{Homeo}(D,\partial D)\),
   Enseign. Math. (2) 66 (2020) 409–418 [DOI, arXiv]
10. C. Bonatti, S.-h. Kim, T. Koberda, M. Triestino,
    Small \(C^1\) actions of semidirect products on compact manifolds,
    Algebr. Geom. Topol. 16, no. 6 (2020) 3183–3203 [DOI, arXiv]
11. N. Matte Bon, M. Triestino,
    Groups of piecewise linear homeomorphisms of flows,
    Compositio Math. 156, no. 8 (2020) 1595–1622 [DOI, arXiv]
12. Y. Lodha, N. Matte Bon, M. Triestino,
    Property FW, differentiable structures, and smoothability of singular actions,
    J. Topol. 13, no. 3 (2020) 1119–1138 [DOI, arXiv]
13. C. Rivas, M. Triestino,
    One-dimensional actions of Higman's group,
    Discrete Analysis 2019:20, 15pp. [DOI, arXiv]
14. D. Malicet, K. Mann, C. Rivas, M. Triestino,
    Ping-pong configurations and circular orders on free groups,
    Groups Geom. Dyn. 13, no. 4 (2019) 1195–1218 [DOI, arXiv]
15. S. Alvarez, D. Filimonov, V. Kleptsyn, D. Malicet, C. Meniño Cotón, A. Navas, M. Triestino,
    Groups with infinitely many ends acting analytically on the circle,
    J. Topol. 12, no. 4 (2019) 1315–1367 [DOI, arXiv]
16. C. Bonatti, Y. Lodha, M. Triestino,
    Hyperbolicity as obstruction to smoothability for one-dimensional actions,
    Geom. Topol. 23, no. 4 (2019) 1841–1876 [DOI, arXiv]
17. M. Khristoforov, V. Kleptsyn, M. Triestino,
    Stationary random metrics on hierarchical graphs via \((\min,+)\)-type recursive distributional equations,
    Commun. Math. Phys. 345, no. 1 (2016), 1–76 [DOI, arXiv]
18. M. Triestino,
    Généricité au sens probabiliste dans les difféomorphismes du cercle,
    Ensaios Matemáticos 27, Soc. Brasil. Mat. (2014), 1–99 [DOI, arXiv]
19. A. Navas, M. Triestino,
    On the invariant distributions of \(C^2\) circle diffeomorphisms of irrational rotation number,
    Math. Z. 274, no. 1 (2013), 315–321 [DOI, arXiv]

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20. V. Kleptsyn, M. Triestino,
    Cut-off method for endogeny of recursive tree processes,
    not ready for submission, needs important revision [arXiv]

M. Triestino,
La conjecture de Zimmer (d'après Brown, Fisher, et Hurtado),
Gazette des mathématiciens 169 (juillet 2021) [preliminary version]

M. Triestino,
Proof of Zimmer's Cocycle Superrigidity: centralizers and finite dimensional invariant subspaces,
in Arbeitsgemeinschaft: Zimmer's Conjecture, Oberwolfach Rep. 16 (2019), 2951–3052 [DOI]

A. Brown,
Entropy, smooth ergodic theory and rigidity of group actions.
With appendices by Sébastien Alvarez, Dominique Malicet, Davi Obata, Mario Roldán, Bruno Santiago and Michele Triestino. Edited by Michele Triestino. Ensaios Matemáticos 33 (2019), Soc. Brasil. Mat. [DOI, arXiv].

Expository notes:

• Locally discrete groups of circle diffeomorphisms (November 2018)
• Groups of affine and piecewise affine homeomorphisms (December 2017)
• Presentation of Lodha-Moore group (February 3rd, 2014).

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