Papers by Amie Wilkinson

Click after the title to see the paper (requires a dvi, ps or pdf viewer). All papers listed are also available in hard copy on request.
NOTE: Figures appear only in the ps and pdf files.

• The cohomological equation for partially hyperbolic diffeomorphisms (preliminary version) dvi or ps or pdf
  August, 2008 preprint (93 pages).
  

• The C^1-generic diffeomorphism has trivial centralizer dvi or ps or pdf
  (with C. Bonatti and S. Crovisier) April, 2008 preprint (59 pages).
  

• Smooth ergodic theory (expository article for Encyclopedia of Complexity and System Science , 20 pages.) dvi or ps or pdf
  January, 2008 preprint. (24 pages).
  

• C^1-generic conservative diffeomorphisms have trivial centralizer dvi or ps or pdf
  (with C. Bonatti and S. Crovisier) Journal of Modern Dynamics (16 pages, revised January, 2008).
  

• Local density of diffeomorphisms with large centralizers dvi or ps or pdf
  (with C. Bonatti, S. Crovisier, and G. Vago) Ann. Sci. de l'Ecole Norm. Sup., (36 pages, revised May, 2008).
  

• Dynamical coherence and center bunching dvi or ps or pdf
  (with K. Burns) Discrete and Continuous Dynamical Systems, Pesin birthday issue. (18 pages, revised January, 2008).
  

• The centralizer of a C^1 generic diffeomorphism is trivial (research announcement) dvi or ps or pdf
  (with C. Bonatti and S. Crovisier) Electronic Research Announcements in Mathematical Sciences (12 pages, revised April, 2008).
  

• On the ergodicity of partially hyperbolic systems dvi or ps or pdf
  (with K. Burns) Annals of Math (50 pages, revised 6/2008).
  
  
• A note on stable holonomy between centers. (Preliminary version, currently under revision) dvi or ps or pdf
  (with K. Burns) June, 2005 preprint. (11 pages).
  
  
• Global rigidity of solvable group actions on S^1 (Revised May, 2004). dvi or ps or pdf
  (with L. Burslem ) Geometry and Topology 8 (2004), 877--924.
  
  
• Transitive partially hyperbolic diffeomorphisms on 3-manifolds (Revised October, 2004). dvi or ps or pdf
  (with C. Bonatti) Topology, 44 (2005), no. 3, 475--508.
  
  
• Abundance of stable ergodicity (Revised May, 2004) dvi or ps or pdf
  (with C. Bonatti , C. Matheus and M. Viana). Comment. Math. Helv., 79 no. 9 (2004) 753-757.
  
  
• Random versus deterministic exponents in a rich family of diffeomorphisms. dvi or ps or pdf or gzipped ps
  (with F. Ledrappier, C. Simo and M. Shub). J. Stat. Phys. , 113 (2003), 85--149.
  Note that this is a large file. Only the .ps version has illustrations
  
  
• Partial differentiability of invariant splittings dvi or ps or pdf
  (with C. Pugh and M. Shub). J. Stat. Phys., 144 (2004) 891--921.
  
  
• Stable accessibility is C^1-dense. dvi or ps or pdf
  (with D. Dolgopyat) Asterisque , 287 (2003), 33--60.
  
  
• Recent results about stable ergodicity dvi or ps or pdf
  (with K. Burns, C. Pugh, and M. Shub). Proc. Symposia A.M.S., 69 (2001) 327-366.
  
  
• Absolutely singular dynamical foliations dvi or ps or pdf
  (with D. Ruelle). Comm. Math. Phys., 219 (2001) 481--487
  
  
• Pathological foliations and removable zero exponents dvi or ps or pdf
  (with M. Shub). Inventiones Math. 139 (2000), pp. 495-508.
  
  
• Stable ergodicity of skew products. dvi or ps or pdf
  (with K. Burns). Ann. Sci. de l'Ecole Norm. Sup., 32 (1999), pp. 859-889.
  
  
• H?lder regularity of horocycle foliations. dvi or ps or pdf
  (with M. Gerber). J. Diff. Geom. 52 (1999) 41-72.
  
  
• Stably ergodic approximations: two examples. dvi or ps or pdf
  (with M. Shub). Erg. Th. Dyn. Syst. 20 (2000), no. 3, 875--893.
  
  
• Stable ergodicity and Anosov flows. dvi or ps or pdf
  (with K. Burns and C. Pugh). Topology, 39 (2000), pp. 149-159.
  
  
• Prevalence of non-Lipschitz Anosov foliations. dvi or ps or pdf (with B. Hasselblatt). Erg. Th. Dyn. Syst. 19 (1999), no. 3, pp. 643-656.
  
  
• Prevalence of non-Lipschitz Anosov foliations. (Research announcement) dvi or ps or pdf (with B. Hasselblatt). ERA Amer. Math. Soc. 3 (1997), pp. 93-98.
  
  
• H?lder foliations.
  (with C. Pugh and M. Shub). Duke Math. J. 86, No.3 (1997), pp.517-546. Original paper pdf
  Erratum dvi or ps or pdf
  
  
• Stable ergodicity of the time-one map of a geodesic flow.dvi or ps or pdf
  Thesis, University of California, Berkeley, May 1995. Erg. Th. Dyn. Syst. 18 No. 6 (1998) 1545-1588
  
  
• When an infinitely-renormalizable endomorphism of the interval can be smoothed.
  dvi or ps or pdf
  (with C. Tresser). Fractals 3, No.4 (1995), pp.701-711.
  
  
• Circuits in Cayley digraphs of finite abelian groups.
  J. Graph Theory 14, No.1 (1990), pp.111-116.
  
  

Permanent preprints

• C^1 genericity of trivial centralizers dvi or ps or pdf
  (with C. Bonatti and S. Crovisier) September, 2006 preprint. (47 pages).
  

• Better center bunching dvi or ps or pdf
  (with K. Burns) February, 2005 preprint. (35 pages).
  

• A stably Bernoullian diffeomorphism that is not Anosov dvi or ps or pdf
  (with M. Shub). 1998 IHES Preprint.