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Spectral rigidity of automorphic orbits in free groups

Bibliographic reference Carette, Mathieu ; Stefano, Francaviglia ; Kapovich, Ilya ; Martino, Armando. Spectral rigidity of automorphic orbits in free groups. In: Algebraic & Geometric Topology, Vol. 12, no.3, p. 1457–1486 (10 July 2012)
Permanent URL http://hdl.handle.net/2078.1/121332
  1. Bestvina Mladen, Feighn Mark, A hyperbolic Out(Fn)-complex, 10.4171/ggd/74
  2. Bestvina M., Feighn M., Handel M., Laminations, trees, and irreducible automorphisms of free groups : , 10.1007/pl00001618
  3. Bestvina Mladen, Handel Michael, Train Tracks and Automorphisms of Free Groups, 10.2307/2946562
  4. Vogtmann Karen, Bridson Martin R., The symmetries of outer space, 10.1215/s0012-7094-01-10625-x
  5. Bridson Martin R., Vogtmann Karen, Automorphism groups of free groups, surface groups and free abelian groups, 10.1090/pspum/074/2264548
  6. Bonahon Francis, Bouts des Varietes Hyperboliques de Dimension 3, 10.2307/1971388
  7. Bonahon Francis, The geometry of Teichm�ller space via geodesic currents, 10.1007/bf01393996
  8. Croke Christopher B., Eberlein Patrick, Kleiner Bruce, Conjugacy and rigidity for nonpositively curved manifolds of higher rank, 10.1016/0040-9383(95)00031-3
  9. Croke C., Fathi A., Feldman J., The marked length-spectrum of a surface of nonpositive curvature, 10.1016/0040-9383(92)90013-8
  10. Coulbois Thierry, Hilion Arnaud, Lustig Martin, ℝ-trees and laminations for free groups I: algebraic laminations, 10.1112/jlms/jdn052
  11. Coulbois Thierry, Hilion Arnaud, Lustig Martin, ℝ-trees and laminations for free groups II: the dual lamination of an ℝ-tree, 10.1112/jlms/jdn053
  12. Cohen Marshall M., Lustig Martin, Very small group actions on R-trees and dehn twist automorphisms, 10.1016/0040-9383(94)00038-m
  13. Cohen M. M., Lustig M., Steiner M., ℝ-Tree Actions are Not Determined by the Translation Lengths of Finitely Many Elements, Mathematical Sciences Research Institute Publications (1991) ISBN:9781461278115 p.183-187, 10.1007/978-1-4612-3142-4_7
  14. Culler Marc, Morgan John W., Group Actions On R-Trees, 10.1112/plms/s3-55.3.571
  15. Cohen M., Metzler W., Zimmermann A., What does a basis ofF (a, b) look like?, 10.1007/bf01465865
  16. Clay, Comment. Math. Helv. (to appear)
  17. Culler Marc, Vogtmann Karen, Moduli of graphs and automorphisms of free groups, 10.1007/bf01388734
  18. Culler Marc, Vogtmann Karen, The Boundary of Outer Space in Rank Two, Mathematical Sciences Research Institute Publications (1991) ISBN:9781461278115 p.189-230, 10.1007/978-1-4612-3142-4_8
  19. Croke Christopher B., Rigidity Theorems in Riemannian Geometry, Geometric Methods in Inverse Problems and PDE Control (2004) ISBN:9781441923417 p.47-72, 10.1007/978-1-4684-9375-7_4
  20. Croke Christopher B., Rigidity for surfaces of non-positive curvature, 10.1007/bf02566599
  21. Culler Marc, Finite groups of outer automorphisms of a free group, 10.1090/conm/033/767107
  22. Dal‚Bo F., Kim I., Marked length rigidity for symmetric spaces, 10.1007/s00014-002-8346-y
  23. Duchin Moon, Leininger Christopher J., Rafi Kasra, Length spectra and degeneration of flat metrics, 10.1007/s00222-010-0262-y
  24. Fathi, Travaux de Thurston sur les surfaces, 66 (1979)
  25. Francaviglia Stefano, Geodesic currents and length compactness for automorphisms of free groups, 10.1090/s0002-9947-08-04420-6
  26. Francaviglia S., Martino A., Metric properties of Outer Space, 10.5565/publmat_55211_09
  27. Guirardel V., Approximations of stable actions on $ \Bbb {R} $ -trees, 10.1007/s000140050047
  28. Guirardel V, Dynamics of Out(Fn) on the boundary of outer space, 10.1016/s0012-9593(00)00117-8
  29. Hersonsky S., Paulin F., On the rigidity of discrete isometry groups of negatively curved spaces, 10.1007/s000140050022
  30. Hamenstädt Ursula, Invariant Radon measures on measured lamination space, 10.1007/s00222-008-0163-5
  31. KAPOVICH ILYA, LUSTIG MARTIN, The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility, 10.1017/s0143385706001015
  32. Kapovich Ilya, Lustig Martin, Geometric intersection number and analogues of the curve complex for free groups, 10.2140/gt.2009.13.1805
  33. Kapovich Ilya, Lustig Martin, Intersection Form, Laminations and Currents on Free Groups, 10.1007/s00039-009-0041-3
  34. Kapovich, Illinois J. Math., 54, 89 (2010)
  35. Kapovich Ilya, Lustig Martin, Stabilizers of ℝ-trees with free isometric actions of FN, 10.1515/jgt.2010.070
  36. Kapovich Ilya, Nagnibeda Tatiana, The Patterson–Sullivan Embedding and Minimal Volume Entropy for Outer Space, 10.1007/s00039-007-0621-z
  37. Kapovich Ilya, Nagnibeda Tatiana, Geometric entropy of geodesic currents on free groups, 10.1090/conm/532/10489
  38. KAPOVICH ILYA, THE FREQUENCY SPACE OF A FREE GROUP, 10.1142/s0218196705002700
  39. Kapovich Ilya, Currents on free groups, 10.1090/conm/394/07441
  40. Kapovich Ilya, Clusters, Currents, and Whitehead's Algorithm, 10.1080/10586458.2007.10128990
  41. Kapovich Ilya, Random length-spectrum rigidity for free groups, 10.1090/s0002-9939-2011-11030-x
  42. KIM INKANG, Ergodic theory and rigidity on the symmetric space of non-compact type, 10.1017/s0143385701001080
  43. Kim Inkang, Marked length rigidity of rank one symmetric spaces and their product, 10.1016/s0040-9383(00)00012-4
  44. Kim Inkang, Rigidity on symmetric spaces, 10.1016/s0040-9383(03)00047-8
  45. Otal Jean-Pierre, Le Spectre Marque des Longueurs des Surfaces a Courbure Negative, 10.2307/1971511
  46. Paulin Frédéric, The Gromov topology on R-trees, 10.1016/0166-8641(89)90029-1
  47. RAY BRIAN, NON-RIGIDITY OF CYCLIC AUTOMORPHIC ORBITS IN FREE GROUPS, 10.1142/s021819671250021x
  48. Smillie John, Vogtmann Karen, Length functions and outer space., 10.1307/mmj/1029004602
  49. Vogtmann, Notices Amer. Math. Soc., 55, 784 (2008)
  50. Zimmermann Bruno, Über Homöomorphismenn-dimensionaler Henkelkörper und endliche Erweiterungen von Schottky-Gruppen, 10.1007/bf02566224