Martin Lustig

Professeur des universités

Département de mathématiques et LATP
Bâtiment Henri Poincaré
Faculté des sciences et techniques
Université Aix-Marseille III
Avenue de l'escadrille Normandie-Niémen
13397 Marseille Cedex 20
Tél. : +33 (0)4 91 28 84 08
Fax : +33 (0)4 91 28 87 41
E-mail :


  1. Structure and conjugacy for automorphisms of free groups, version préliminaire, 1999 [DVI, PS]
  2. F. Gautero et M. Lustig,Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groupsMath. Proc. Cambridge Philos. Soc. 137, 2004, 595--611
  3. M. Lustig et Y. ,Moriah,A finiteness result for Heegaard splittings, Topology, 43, 2004, 1165--1182
  4. G. Levitt et M. Lustig, Irreducible automorphisms of Fn have north-south dynamics on compactified outer space, J. Inst. Math. Jussieu,Journal of the Institute of Mathematics of Jussieu, 2, 2003, 59--72
  5. S. Krstic, M. Lustig et K. Vogtmann, An equivariant Whitehead algorithm and conjugacy for roots of Dehn twist automorphisms, Proc. Edinb. Math. Soc. (2), 44, 2001, 117--141
  6. G. Levitt et M. Lustig, Most automorphisms of a hyperbolic group have very simple dynamics, Ann. Sci. &Ecute;cole Norm. Sup. (4), 33, 2000, 507--517
  7. M. Lustig et U. Oertel, Invariant laminations for diffeomorphisms of handlebodies, Q. J. Math., 51, 2000, 485--507
  8. G. Levitt et M. Lustig, Periodic ends, growth rates, Holder dynamics for automorphisms of free groups, Comment. Math. Helv., 75, 2000, 415--429
  9. M. Lustig et Y. Moriah,3-manifolds with irreducible Heegaard splittings of high genus, Topology, 39, 2000, 589--618,
  10. M. Cohen and M. Lustig,The conjugacy problem for Dehn twist automorphisms of free groups, Comment. Math. Helv.,Commentarii Mathematici Helvetici, 74, 1999, 179--200
  11. M. Lustig et Y. Moriah, Closed incompressible surfaces in complements of wide knots and links, Topology Appl.,Topology and its Applications, 92, 1999, 1--13
  12. D. Gaboriau, A. Jaeger, G. Levitt et M. Lustig, An index for counting fixed points of automorphisms of free groups, Duke Math. J., 93, 1998, 425--452
  13. D. Gaboriau, G. Levitt et M. Lustig, A dendrological proof of the Scott conjecture for automorphisms of free groups, Proc. Edinburgh Math. Soc. (2), 41, 1998, 325--332
  14. M. Lustig et Y. Moriah, On the complexity of the Heegaard structure of hyperbolic 3-manifolds, Math. Z., 226, 1997, 349--358
  15. M. Lustig, E.-M. Thiele et H. Zieschang, Primitive elements in the free product of two finite cyclic groups, Abh. Math. Sem. Univ. Hamburg, 65, 1995, 277--281
  16. M. Cohen et M. Lustig, Very small group actions on R-trees and Dehn twist automorphisms, Topology, 34, 1995, 575--617
  17. M. Lustig, Non-efficient torsion-free groups exist, Comm. Algebra, 23, 1995, 215--218
  18. M. Boileau, M. Lustig et Y. Moriah, Links with super-additive tunnel number, Math. Proc. Cambridge Philos. Soc., 115, 1994, 85--95
  19. M. Lustig, Fox ideals, N-torsion and applications to groups and 3-manifolds, Two-dimensional homotopy and combinatorial group theory, London Math. Soc. Lecture Note Ser., 197, 1993, 219--250
  20. M. Lustig, Weierstrass points and multiple intersection points of closed geodesics, Geom. Dedicata, 48, 1993, 1--14
  21. M. Lustig et Y. Moriah, N-torsion and applications, Geometric group theory, Vol. 1 (Sussex, 1991), London Math. Soc. Lecture Note Ser., 181, 1993, 159--168
  22. M. Lustig, Infinitely many pairwise homotopy inequivalent 2-complexes Ki with fixed pi1Ki and chi(Ki), J. Pure Appl. Algebra, 88, 1993, 173--175
  23. M. Lustig and Y. Moriah, Generating systems of groups and Reidemeister-Whitehead torsion, J. Algebra, 157, 1993, 170--198
  24. M. Lustig and Y. Moriah, Generalized Montesinos knots, tunnels and N-torsion, Math. Ann., 295, 1993, 167--189
  25. M. Cohen, M. Lustig et M. Steiner, $\bf R$-tree actions are not determined by the translation lengths of finitely many elements, Arboreal group theory (Berkeley, 1988), MSRI Publ., 19, Springer, 1991, 183--187
  26. M. Lustig and Y. Moriah, Nielsen equivalence in Fuchsian groups and Seifert fibered spaces, Topology, 30, 1991, 191--204
  27. M. Lustig, Nielsen equivalence and simple-homotopy type, Proc. London Math. Soc. (3), 62, 1991, 537--562,
  28. M. Lustig, On the rank, the deficiency and the homological dimension of groups: the computation of a lower bound via Fox ideals, Topology and combinatorial group theory (Hanover, NH, 1986/1987; Enfield, NH, 1988), Lecture Notes in Math., 1440, 164--174, Springer, Berlin, 1990
  29. M. Lustig, Y. Moriah and G. Rosenberger, Automorphisms of Fuchsian groups and their lifts to free groups, Canad. J. Math., 41, 1989, 123--131
  30. M. Cohen and M. Lustig, On the dynamics and the fixed subgroup of a free group automorphism, Invent. Math., 96, 1989, 613--638
  31. M. Lustig, Paths of geodesics and geometric intersection numbers. II, Combinatorial group theory and topology (Alta, Utah, 1984), Ann. of Math. Stud., 111, 501--543, Princeton Univ. Press, Princeton, NJ, 1987
  32. M. Cohen and M. Lustig, Paths of geodesics and geometric intersection numbers. I, Combinatorial group theory and topology (Alta, Utah, 1984), Ann. of Math. Stud., 111, 479--500, Princeton Univ. Press, Princeton, NJ, 1987
  33. C. Hog, M. Lustig and W. Metzler, Presentation classes, $3$-manifolds and free products, Geometry and topology (College Park, Md., 1983/84), Lecture Notes in Math., 1167, 154--167, Springer, Berlin, 1985
  34. M. Lustig and W. ,Metzler, Integral representations of $\rm Aut\,F\sp n$ and presentation classes of groups, Combinatorial methods in topology and algebraic geometry (Rochester, N.Y., 1982), Contemp. Math., 44, 51--67, Amer. Math. Soc., Providence, RI, 1985


Dernière modification : jeudi 24 mars 2005