Michele Triestino

activity

20122026

most citedGroups with infinitely many ends acting analytically on the circle

8 citations · 26 across the 19 of their papers we have counts for

collaborators

23 papers

math.GR2026

$Z^{2}$ -free subgroups of Thompson's $T$ are virtually free

Nicolás Matte Bon, Michele Triestino

It is an open problem to determine whether surface groups can embed in Thompson's group $V$ . We prove that any finitely generated subgroup of Thompson's group $T$ without abelian g…

math.GT2025

Ping-pong dynamics of hyperbolic-like actions with non-simple points

KyeongRo Kim, Michele Triestino

A hyperbolic-like group is a subgroup of $Homeo_{+} (S^{1})$ such that every non-trivial element has exactly two fixed points, one attracting and one repelling. We invest…

math.GR2024

Subexponential growth and $C^{1}$ actions on one-manifolds

Sang-hyun Kim, Nicolás Matte Bon, Mikael de la Salle +1

Let $G$ be a countable group with no finitely generated subgroup of exponential growth. We show that every action of $G$ on a countable set preserving a linear (respectively, circu…

math.GR2023

Non-locally discrete actions on the circle with at most $N$ fixed points

Christian Bonatti, João Carnevale, Michele Triestino

A subgroup of $Homeo_{+} (S^{1})$ is Möbius-like if every element is conjugate to an element of $PSL (2, R)$ . In general, a Möbius-like subgroup of $\m…

math.GR2023

A realisation result for moduli spaces of group actions on the line

Joaquín Brum, Nicolás Matte Bon, Cristóbal Rivas +1

Given a finitely generated group $G$ , the possible actions of $G$ on the real line (without global fixed points), considered up to semi-conjugacy, can be encoded by the space of or…

math.GR2022★ 1 cited

Solvable Groups and Affine Actions on the Line

Joaquín Brum, Nicolás Matte Bon, Cristóbal Rivas +1

We prove a structural result for orientation-preserving actions of finitely generated solvable groups on real intervals, considered up to semi-conjugacy. As applications we obtain…

math.GR2022

Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval

Michele Triestino

For a certain class of groups of piecewise linear homeomorphisms of the interval, we prove that they admit no sufficiently regular faithful action on the line. Building on previous…

math.GR2022

On the action of the $Σ (2, 3, 7)$ homology sphere group on its space of left-orders

Kathryn Mann, Michele Triestino

We show that the action of the group $Γ = ⟨ a, b, c ∣ a^{2} = b^{3} = c^{7} = ab c ⟩$ on its space of left-orders has exactly two minimal components.

math.GR2021

Locally moving groups and laminar actions on the line

Joaquín Brum, Nicolás Matte Bon, Cristóbal Rivas +1

We prove various results that, given a sufficiently rich subgroup $G$ of the group of homeomorphisms on the real line, describe the structure of the other possible actions of $G$ o…

math.DS2021

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

Sébastien Alvarez, Pablo G. Barrientos, Dmitry Filimonov +4

In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of r…

math.GR2019★ 1 cited

On James Hyde's example of non-orderable subgroup of $Homeo (D, \partial D)$

Michele Triestino

In [Ann. Math. 190 (2019), 657-661], James Hyde presented the first example of non-left-orderable, finitely generated subgroup of $Homeo (D, \partial D)$ , the group of homeo…

math.GT2019★ 2 cited

Small $C^{1}$ actions of semidirect products on compact manifolds

Christian Bonatti, Sang-hyun Kim, Thomas Koberda +1

Let $T$ be a compact fibered $3$ --manifold, presented as a mapping torus of a compact, orientable surface $S$ with monodromy $ψ$ , and let $M$ be a compact Riemannian manifold. Our…

math.GR2019★ 1 cited

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

Juan Alonso, Sébastien Alvarez, Dominique Malicet +2

Following the recent advances in the study of groups of circle diffeomorphisms, we describe an efficient way of classifying the topological dynamics of locally discrete, finitely g…

math.GR2019★ 1 cited

One-dimensional actions of Higman's group

Cristóbal Rivas, Michele Triestino

We build a faithful action of Higman's group on the line by homeomorphisms, answering a question of Yves de Cornulier. As a by-product we obtain many quasimorphisms from the Higman…

math.GR2018

Groups of piecewise linear homeomorphisms of flows

Nicolás Matte Bon, Michele Triestino

To every dynamical system $(X, φ)$ over a totally disconnected compact space, we associate a left-orderable group $T (φ)$ . It is defined as a group of homeomorphisms of the suspensio…

math.DS2018

Entropy, Lyapunov exponents, and rigidity of group actions

Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4

This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…

math.DS2018★ 3 cited

Property FW, differentiable structures, and smoothability of singular actions

Yash Lodha, Nicolás Matte Bon, Michele Triestino

We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group $Γ$ has the fixed point property FW for walls (e.g…

math.GR2017

Ping-pong configurations and circular orders on free groups

Dominique Malicet, Kathryn Mann, Cristobal Rivas +1

We discuss actions of free groups on the circle with "ping-pong" dynamics; these are dynamics determined by a finite amount of combinatorial data, analogous to Schottky domains or…

math.GR2017★ 6 cited

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Christian Bonatti, Yash Lodha, Michele Triestino

Ghys and Sergiescu proved in the $80$ s that Thompson's group $T$ , and hence $F$ , admits actions by $C^{\infty}$ diffeomorphisms of the circle . They proved that the standard action…

math.PR2016

Cut-off method for endogeny of recursive tree processes

Victor Kleptsyn, Michele Triestino

Given a solution to a recursive distributional equation, a natural (and non-trivial) question is whether the corresponding recursive tree process is endogenous. That is, whether th…

math.DS2015★ 8 cited

Groups with infinitely many ends acting analytically on the circle

Sébastien Alvarez, Dmitry Filimonov, Victor Kleptsyn +4

This article takes the inspiration from two milestones in the study of non minimal actions of groups on the circle: Duminy's theorem about the number of ends of semi-exceptional le…

math.PR2013

Stationary random metrics on hierarchical graphs via $(min, +)$ -type recursive distributional equations

Mikhail Khristoforov, Victor Kleptsyn, Michele Triestino

This paper is inspired by the problem of understanding in a mathematical sense the Liouville quantum gravity on surfaces. Here we show how to define a stationary random metric on s…

math.DS2012★ 3 cited

On the invariant distributions of C^2 circle diffeomorphisms of irrational rotation number

Andrés Navas, Michele Triestino

We show that no C^2 circle diffeomorphism of irrational rotation number has invariant 1-distributions other than (scalar multiples of) the invariant measure. We also show that this…

Z2-free subgroups of Thompson's T are virtually free

Ping-pong dynamics of hyperbolic-like actions with non-simple points

Subexponential growth and C1 actions on one-manifolds

Non-locally discrete actions on the circle with at most N fixed points

A realisation result for moduli spaces of group actions on the line

Solvable Groups and Affine Actions on the Line

Non-smoothability for a class of groups of piecewise linear homeomorphisms of the interval

On the action of the Σ(2,3,7) homology sphere group on its space of left-orders

Locally moving groups and laminar actions on the line

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

On James Hyde's example of non-orderable subgroup of Homeo(D,∂D)

Small C1 actions of semidirect products on compact manifolds

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

One-dimensional actions of Higman's group

Groups of piecewise linear homeomorphisms of flows

Entropy, Lyapunov exponents, and rigidity of group actions

Property FW, differentiable structures, and smoothability of singular actions

Ping-pong configurations and circular orders on free groups

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Cut-off method for endogeny of recursive tree processes

Groups with infinitely many ends acting analytically on the circle

Stationary random metrics on hierarchical graphs via (min,+)-type recursive distributional equations

On the invariant distributions of C^2 circle diffeomorphisms of irrational rotation number

$Z^{2}$ -free subgroups of Thompson's $T$ are virtually free

Subexponential growth and $C^{1}$ actions on one-manifolds

Non-locally discrete actions on the circle with at most $N$ fixed points

On the action of the $Σ (2, 3, 7)$ homology sphere group on its space of left-orders

On James Hyde's example of non-orderable subgroup of $Homeo (D, \partial D)$

Small $C^{1}$ actions of semidirect products on compact manifolds

Stationary random metrics on hierarchical graphs via $(min, +)$ -type recursive distributional equations