Martin Lustig

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All published works

Action	Title	Year	Authors
+ PDF Chat	The measure transfer for subshifts induced by a morphism of free monoids	2024	Nicolas Bédaride Arnaud Hilion Martin Lustig
+	Measure transfer and <i>S</i>-adic developments for subshifts	2024	Nicolas Bédaride Arnaud Hilion Martin Lustig
+ PDF Chat	The measure transfer for subshifts induced by morphisms of free monoids	2023	Nicolas Bédaride Arnaud Hilion Martin Lustig
+ PDF Chat	Nielsen equivalence in Fuchsian groups	2022	Martin Lustig Yoav Moriah
+ PDF Chat	HOW DO TOPOLOGICAL ENTROPY AND FACTOR COMPLEXITY BEHAVE UNDER MONOID MORPHISMS AND FREE GROUP BASIS CHANGES ?	2022	Martin Lustig
+	How do topological entropy and factor complexity behave under monoid morphisms and free group basis changes ?	2022	Martin Lustig
+	The measure transfer for subshifts induced by a morphism of free monoids	2022	Nicolas Bédaride Arnaud Hilion Martin Lustig
+	Measure transfer and $S$-adic developments for subshifts	2022	Nicolas Bédaride Arnaud Hilion Martin Lustig
+ PDF Chat	Tower power for S-adics	2020	Nicolas Bédaride Arnaud Hilion Martin Lustig
+	Invariant measures on finite rank subshifts	2020	Nicolas Bédaride Arnaud Hilion Martin Lustig
+ PDF Chat	Graph towers, laminations and their invariant measures	2020	Nicolas Bédaride Arnaud Hilion Martin Lustig
+	Train track maps for graphs of groups	2020	Martin Lustig
+	Invariant measures on finite rank subshifts	2020	Nicolas Bédaride Arnaud Hilion Martin Lustig
+	Nielsen Equivalence in Fuchsian groups with 2-torsion	2019	Martin Lustig Yoav Moriah
+ PDF Chat	North–South dynamics of hyperbolic free group automorphisms on the space of currents	2017	Martin Lustig Caglar Uyanik
+	Normal form and parabolic dynamics for quadratically growing automorphisms of free groups	2017	Martin Lustig Kaidi Ye
+	Perron-Frobenius theory and frequency convergence for reducible substitutions	2016	Martin Lustig Caglar Uyanik
+ PDF Chat	Invariant measures for train track towers	2015	Nicolas Bédaride Arnaud Hilion Martin Lustig
+ PDF Chat	Patterson–Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space	2015	Ilya Kapovich Martin Lustig
+	Free group automorphisms, Train tracks, Index realization, Gate structure	2015	Thierry Coulbois Martin Lustig
+ PDF Chat	Cannon-Thurston fibers for iwip automorphisms of FN	2015	Ilya Kapovich Martin Lustig
+ PDF Chat	Index realization for automorphisms of free groups	2015	Thierry Coulbois Martin Lustig
+	Long turns, INP's and index for free group automorphisms	2015	Thierry Coulbois Martin Lustig
+ PDF Chat	Long turns, INP’s and indices for free group automorphisms	2015	Martin Lustig Thierry Coulbois
+	Index realization for automorphisms of free groups	2015	Thierry Coulbois Martin Lustig
+ PDF Chat	INVARIANT LAMINATIONS FOR IRREDUCIBLE AUTOMORPHISMS OF FREE GROUPS	2014	Ilya Kapovich Martin Lustig
+ PDF Chat	Tree-Irreducible Automorphisms of Free Groups	2014	Martin Lustig
+ PDF Chat	Dual Automorphisms of Free Groups	2014	Fedaa Ibrahim Martin Lustig
+	Extended abstracts fall 2012 : automorphisms of free groups	2014	Juan González-Meneses Martin Lustig Enric Ventura
+	Dual automorphisms of free groups	2013	Fedaa Ibrahim Martin Lustig
+	Tree-irreducible automorphisms of free groups	2013	Martin Lustig
+	On the fibers of the Cannon-Thurston map for free-by-cyclic groups	2012	Ilya Kapovich Martin Lustig
+	Cannon-Thurston fibers for iwip automorphisms of $F_N$	2012	Ilya Kapovich Martin Lustig
+	Cannon-Thurston fibers for iwip automorphisms of $F_N$	2012	Ilya Kapovich Martin Lustig
+ PDF Chat	Are large distance Heegaard splittings generic?	2011	Martin Lustig Yoav Moriah
+ PDF Chat	Stabilizers of ℝ-trees with free isometric actions of <i>F<sub>N</sub> </i>	2011	Ilya Kapovich Martin Lustig
+	Invariant laminations for irreducible automorphisms of free groups	2011	Ilya Kapovich Martin Lustig
+	Stabilizers of ℝ-trees with free isometric actions of<i>F<sub>N</sub></i>	2011	Ilya Kapovich Martin Lustig
+	Invariant laminations for irreducible automorphisms of free groups	2011	Ilya Kapovich Martin Lustig
+ PDF Chat	PING-PONG AND OUTER SPACE	2010	Ilya Kapovich Martin Lustig
+	Are large distance Heegaard splittings generic	2010	Martin Lustig Yoav Moriah
+ PDF Chat	Domains of proper discontinuity on the boundary of Outer space	2010	Ilya Kapovich Martin Lustig
+ PDF Chat	Horizontal Dehn surgery and genericity in the curve complex	2010	Martin Lustig Yoav Moriah
+	Are large distance Heegaard splittings generic ?	2010	Martin Lustig Yoav Moriah
+	The F N -action on the Product of the Two Limit Trees for an Iwip Automorphism	2010	Martin Lustig
+ PDF Chat	Intersection Form, Laminations and Currents on Free Groups	2009	Ilya Kapovich Martin Lustig
+ PDF Chat	ℝ-trees, dual laminations and compact systems of partial isometries	2009	Thierry Coulbois Arnaud Hilion Martin Lustig
+ PDF Chat	Geometric intersection number and analogues of the curve complex for free groups	2009	Ilya Kapovich Martin Lustig
+	Domains of proper discontinuity on the boundary of Outer space	2009	Ilya Kapovich Martin Lustig
+	Domains of proper discontinuity on the boundary of Outer space	2009	Ilya Kapovich Martin Lustig
+	High distance Heegaard splittings via fat train tracks	2008	Martin Lustig Yoav Moriah
+	ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+ PDF Chat	ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+	ℝ-trees and laminations for free groups I: algebraic laminations	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+ PDF Chat	Free group automorphisms with many fixed points at infinity	2008	André Jäger Martin Lustig
+ PDF Chat	Testing Cayley graph densities	2008	Goulnara Arzhantseva Victor Guba Martin Lustig Jean-Philippe Préaux
+ PDF Chat	$\R$-trees and laminations for free groups II: The dual lamination of an $\R$-tree	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+ PDF Chat	Automorphisms of free groups have asymptotically periodic dynamics	2008	Gilbert Levitt Martin Lustig
+ PDF Chat	$\R$-trees and laminations for free groups I: Algebraic laminations	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+ PDF Chat	$\R$-trees and laminations for free groups III: Currents and dual $\R$-tree metrics	2008	Thierry Coulbois Arnaud Hilion Martin Lustig
+	Conjugacy and Centralizers for Iwip Automorphisms of Free Groups	2007	Martin Lustig
+ PDF Chat	Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\Bbb R$-trees	2007	Thierry Coulbois Arnaud Hilion Martin Lustig
+	The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility	2007	Ilya Kapovich Martin Lustig
+	The mapping-torus of a free group automorphism is hyperbolic relative to the canonical subgroups of polynomial growth	2007	François Gautero Martin Lustig
+	High distance Heegaard splittings via fat train tracks	2007	Martin Lustig Yoav Moriah
+	Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\R$-trees	2007	Thierry Coulbois Arnaud Hilion Martin Lustig
+	The actions of $Out(F_k)$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility	2006	Ilya Kapovich Martin Lustig
+	Uniform non-amenability	2004	Goulnara Arzhantseva José Burillo Martin Lustig Lawrence Reeves Hamish Short Enric Ventura
+ PDF Chat	Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups	2004	François Gautero Martin Lustig
+	A finiteness result for Heegaard splittings	2004	Martin Lustig Yoav Moriah
+	A finiteness result for Heegaard splittings	2004	Martin Lustig
+	Automorphisms of free groups have asymptotically periodic dynamics	2004	Gilbert Levitt Martin Lustig
+	IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE	2003	Gilbert Levitt Martin Lustig
+	A finiteness result for Heegaard splittings	2002	Martin Lustig Yoav Moriah
+ PDF Chat	AN EQUIVARIANT WHITEHEAD ALGORITHM AND CONJUGACY FOR ROOTS OF DEHN TWIST AUTOMORPHISMS	2001	Sava Krstić Martin Lustig Karen Vogtmann
+	Invariant Laminations for Diffeomorphisms of Handlebodies	2000	Martin Lustig
+ PDF Chat	Periodic ends, growth rates, H�lder dynamics for automorphisms of free groups	2000	Gilbert Levitt Martin Lustig
+ PDF Chat	Manifolds with irreducible Heegaard splittings of high genus	2000	Martin Lustig Yoav Moriah
+ PDF Chat	Most automorphisms of a hyperbolic group have very simple dynamics	2000	Gilbert Levitt Martin Lustig
+ PDF Chat	The conjugacy problem for Dehn twist automorphisms of free groups	1999	Michael Cohen Martin Lustig
+	Closed incompressible surfaces in complements of wide knots and links	1999	Martin Lustig Yoav Moriah
+	An index for counting fixed points of automorphisms of free groups	1998	Damien Gaboriau Andre Jaeger Gilbert Levitt Martin Lustig
+ PDF Chat	A dendrological proof of the Scott conjecture for automorphisms of free groups	1998	Damien Gaboriau Gilbert Levitt Martin Lustig
+	3-Manifolds with irreducible Heegaard splittings of high genus	1998	Martin Lustig Yoav Moriah
+	3-Manifolds with irreducible Heegaard splittings of high genus	1998	Martin Lustig Yoav Moriah
+	On the complexity of the Heegaard structure of hyperbolic 3-manifolds	1997	Martin Lustig Yoav Moriah
+	Primitive elements in the free product of two finite cyclic groups	1995	Martin Lustig E. -M. Thiele Heiner Zieschang
+	Very small group actions on R-trees and dehn twist automorphisms	1995	Marshall M. Cohen Martin Lustig
+	Non-efficient torsion-free groups exist	1995	Martin Lustig
+	Links with super-additive tunnel number	1994	Michel Boileau Martin Lustig Yoav Moriah
+	Fox Ideals, <i>N</i>-Torsion and Applications to Groups and 3-Manifolds	1993	Martin Lustig
+	Infinitely many pairwise homotopy inequivalent 2-complexes Ki with fixed π1Ki and χ(Ki)	1993	Martin Lustig
+	Generalized Montesinos knots, tunnels andN-torsion	1993	Martin Lustig Yoav Moriah
+	Nielsen Equivalence and Simple-Homotopy Type	1991	Martin Lustig
+	Nielsen equivalence in fuchsian groups and seifert fibered spaces	1991	Martin Lustig Yoav Moriah
+	ℝ-Tree Actions are Not Determined by the Translation Lengths of Finitely Many Elements	1991	Marshall M. Cohen Martin Lustig M. E. Steiner
+	On the rank, the deficiency and the homological dimension of groups: The computation of a lower bound via fox ideals	1990	Martin Lustig
+	On the dynamics and the fixed subgroup of a free group automorphism	1989	Marshall M. Cohen Martin Lustig
+ PDF Chat	Automorphisms of Fuchsian Groups and their Lifts to Free Groups	1989	Martin Lustig Yoav Moriah Gerhard Rosenberger
+	PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I	1987	Marshall M. Cohen Martin Lustig
+	PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II	1987	Martin Lustig
+	Integral representations of 𝐴𝑢𝑡𝐹ⁿ and presentation classes of groups	1985	Martin Lustig Wolfgang Metzler
+	On isotone and homomorphic maps of ordered unary algebras	1972	Martin Lustig

Common Coauthors

Coauthor	Papers Together
Yoav Moriah	19
Ilya Kapovich	18
Arnaud Hilion	15
Thierry Coulbois	14
Nicolas Bédaride	10
Gilbert Levitt	7
Arnaud Hilion	4
Marshall M. Cohen	4
François Gautero	2
Caglar Uyanik	2
Fedaa Ibrahim	2
Damien Gaboriau	2
Goulnara Arzhantseva	2
Gerhard Rosenberger	1
Michael Cohen	1
Juan González-Meneses	1
José Burillo	1
Karen Vogtmann	1
Lawrence Reeves	1
André Jäger	1
Wolfgang Metzler	1
Enric Ventura	1
Andre Jaeger	1
Kaidi Ye	1
Enric Ventura	1
Michel Boileau	1
Victor Guba	1
Jean-Philippe Préaux	1
Hamish Short	1
M. E. Steiner	1
Heiner Zieschang	1
E. M. Thiele	1
Sava Krstić	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Train Tracks and Automorphisms of Free Groups	1992	Mladen Bestvina Michael Handel	31
+	Moduli of graphs and automorphisms of free groups	1986	Marc Culler Karen Vogtmann	23
+	An index for counting fixed points of automorphisms of free groups	1998	Damien Gaboriau Andre Jaeger Gilbert Levitt Martin Lustig	22
+ PDF Chat	The rank of actions on ${R}$-trees	1995	Damien Gaboriau Gilbert Levitt	22
+	Very small group actions on R-trees and dehn twist automorphisms	1995	Marshall M. Cohen Martin Lustig	21
+	IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE	2003	Gilbert Levitt Martin Lustig	18
+	Laminations, trees, and irreducible automorphisms of free groups	1997	Mladen Bestvina Mark Feighn Michael Handel	16
+ PDF Chat	The Tits Alternative for out(F n ) I: Dynamics of Exponentially-Growing Automorphisms	2000	Mladen Bestvina Mark Feighn Michael Handel	15
+ PDF Chat	THE FREQUENCY SPACE OF A FREE GROUP	2005	Ilya Kapovich	15
+	ℝ-trees and laminations for free groups I: algebraic laminations	2008	Thierry Coulbois Arnaud Hilion Martin Lustig	14
+	ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree	2008	Thierry Coulbois Arnaud Hilion Martin Lustig	14
+	The Gromov topology on R-trees	1989	Frédéric Paulin	13
+	Conjugacy and Centralizers for Iwip Automorphisms of Free Groups	2007	Martin Lustig	13
+ PDF Chat	ℝ-trees and laminations for free groups III: currents and dual ℝ-tree metrics	2008	Thierry Coulbois Arnaud Hilion Martin Lustig	12
+ PDF Chat	Intersection Form, Laminations and Currents on Free Groups	2009	Ilya Kapovich Martin Lustig	12
+ PDF Chat	Approximations of stable actions on $ \Bbb {R} $ -trees	1998	Vincent Guirardel	11
+ PDF Chat	Hyperbolic automorphisms of free groups	2000	Peter Brinkmann	11
+ PDF Chat	Currents on free groups	2006	Ilya Kapovich	11
+	None	2002	Karen Vogtmann	11
+ PDF Chat	A combination theorem for negatively curved groups	1992	Mladen Bestvina Mark Feighn	10
+ PDF Chat	The Tits alternative for Out(F<sub>n</sub>) II: A Kolchin type theorem	2005	Mladen Bestvina Mark Feighn Michael Handel	10
+	The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility	2007	Ilya Kapovich Martin Lustig	9
+ PDF Chat	PING-PONG AND OUTER SPACE	2010	Ilya Kapovich Martin Lustig	9
+ PDF Chat	The Patterson–Sullivan Embedding and Minimal Volume Entropy for Outer Space	2007	Ilya Kapovich Tatiana Nagnibeda	9
+ PDF Chat	Dynamics of Out(Fn) on the boundary of outer space	2000	Vincent Guirardel	9
+ PDF Chat	Geometric intersection number and analogues of the curve complex for free groups	2009	Ilya Kapovich Martin Lustig	8
+	The topology at infinity of Out(F n )	2000	Mladen Bestvina Mark Feighn	8
+	Automorphisms of free groups have finitely generated fixed point sets	1987	Daryl Cooper	8
+ PDF Chat	INVARIANT LAMINATIONS FOR IRREDUCIBLE AUTOMORPHISMS OF FREE GROUPS	2014	Ilya Kapovich Martin Lustig	8
+ PDF Chat	3-Manifolds as viewed from the curve complex	2001	John Hempel	8
+ PDF Chat	Geodesic currents and length compactness for automorphisms of free groups	2008	Stefano Francaviglia	7
+ PDF Chat	The Subadditive Ergodic Theorem and generic stretching factors for free group automorphisms	2007	Vadim A. Kaimanovich Ilya Kapovich Paul E. Schupp	7
+ PDF Chat	Botany of irreducible automorphisms of free groups	2012	Thierry Coulbois Arnaud Hilion	6
+	The geometry of Teichm�ller space via geodesic currents	1988	Francis Bonahon	6
+ PDF Chat	Cœur et nombre d'intersection pour les actions de groupes sur les arbres	2005	Vincent Guirardel	6
+	On the dynamics and the fixed subgroup of a free group automorphism	1989	Marshall M. Cohen Martin Lustig	6
+	Covering theory for graphs of groups	1993	Hyman Bass	6
+ PDF Chat	Free group automorphisms with many fixed points at infinity	2008	André Jäger Martin Lustig	6
+	Beyond substitutive dynamical systems: S-adic expansions	2013	Valérie Berthé Vincent Delecroix	6
+ PDF Chat	Algorithmic detectability of iwip automorphisms	2014	Ilya Kapovich	5
+	Nielsen equivalence in fuchsian groups and seifert fibered spaces	1991	Martin Lustig Yoav Moriah	5
+ PDF Chat	Rips induction: index of the dual lamination of an $\mathbb{R}$-tree	2014	Thierry Coulbois Arnaud Hilion	5
+ PDF Chat	Hyperbolic Manifolds and Discrete Groups	2009	Michael Kapovich	5
+ PDF Chat	Geometry of the complex of curves I: Hyperbolicity	1999	Howard Masur Yair N. Minsky	5
+ PDF Chat	North–South dynamics of hyperbolic free group automorphisms on the space of currents	2017	Martin Lustig Caglar Uyanik	5
+	Do the Properties of an S-adic Representation Determine Factor Complexity?	2013	Fabien Durand Julien Leroy Gwénaël Richomme	5
+ PDF Chat	Clusters, Currents, and Whitehead's Algorithm	2007	Ilya Kapovich	5
+	Dendrology of Groups: An Introduction	1987	Peter B. Shalen	5
+ PDF Chat	Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\Bbb R$-trees	2007	Thierry Coulbois Arnaud Hilion Martin Lustig	5
+	Geodesic currents on negatively curved groups	1991	Francis Bonahon	5