Albert Meads Fisher

Department of Mathematics, University of São Paulo

e-mail: afisher-at-ime.usp.br

  • Institute of Mathematics and Statistics
  • University of São Paulo
  • Google Scholar Citations

  • Areas of Interest



    Some papers

  • Asymptotic self-similarity and order-two ergodic theorems for renewal flows, Journal d'Analyse Mathématique, September 2015, Volume 127, Issue 1, pp 1-45 (with Marina Talet)pdf,

  • Distribution of approximants and geodesic flows, Ergodic Theory and Dynamical Systems, Volume 34, Issue 06, December 2014, pp 1832-1848 doi:10.1017/etds.2013.23. (with Tom Schmidt) pdf,

  • Dynamical attraction to stable processes, Ann. Inst. H. Poincaré Probab. Statist. Volume 48, Number 2, 2012, pp 551-578 (with Marina Talet) pdf,

  • The self-similar dynamics of renewal processes, Electron. J. Probab. 16, Article 31, May 10, 2011, pp 929-961 (with Marina Talet) pdf,

  • Minimality and unique ergodicity for adic transformations, Journal d'Analyse Mathematique, 109(1): October 2009, pp 1-31 (with Sebastien Ferenczi and Marina Talet) pdf,

  • Nonstationary mixing and the unique ergodicity of adic transformations, Stochastics and Dynamics, Volume 9 (3), 2009, pp 335-391 pdf,

  • Anosov families, renormalization and nonstationary subshifts, Ergodic Theory and Dynamical Systems { 25}, 2005, pp. 661-709 (with Pierre Arnoux) pdf, (preprint version containing all final corrections for ETDS; initial preprint Univ. de Marseilles, February 2003),

  • Small-scale structure via flows, Expository article: Conference Proceedings, Fractal Geometry and Stochastics III, Friedrichroda, Germany, March 17-22, 2003, pp 59-78 pdf, preprint version: pdf,

  • The scenery flow for hyperbolic Julia sets, Proceedings London Math. Soc. (3) 85, 2002, pp 467-492 (with Tim Bedford and Mariusz Urbanski) pdf,

  • Exact bounds for the polynomial decay of correlation, 1/f noise and the {CLT} for the equilibrium state of a non-Holder potential, Nonlinearity, 2001, vol 14, pp 1071-1104 (with Artur Lopes) pdf,

  • The scenery flow for geometric structures on the torus: The linear setting, Chinese Annals of Mathematics 22b, no. 4, 2000, pp 427-470 (with Pierre Arnoux) pdf; (figures are better here than in published version) ,

  • On invariant line fields, Bulletin London Math. Soc. 32, 2000, pp 555-570 (with Mariusz Urbanski) pdf ,

  • A Poisson formula for harmonic projections, Annales de l'Institut H. Poincaré, Probabilités et Statistiques 2 (34) 1998, pp 209-216 (with V. Kaimanovich), pdf ,

  • Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets, Erg. Th. and Dyn. Sys. 17, 1997, pp 531-564 (with Tim Bedford), pdf,

  • Analogues of the Lebesgue density theorem for fractal sets of reals and integers, Proc. London Math. Soc. 64, 1992, pp 95-124, pdf,

  • Second order ergodic theorems for ergodic transformations of infinite measure spaces, Proc. AMS 114 (1), 1992, pp 115-128 (with J. Aaronson and M. Denker), pdf,

  • Integer Cantor sets and an order-two ergodic theorem, Ergod. Th. and Dynam. Sys. 13, 1992, pp 45-64, pdf,

  • Convex-invariant means and a pathwise central limit theorem, Adv. Math. 63, 1987, pp 213-246. pdf.


  • Expository notes

  • Small-scale structure and randomness: the scenery flow in dynamics, geometry and probability (text updated December 2005, references updated March 2009). 34 pp. pdf, (English version of thesis for livre-docência, July 2003, USP; this is similar to the French or German Habilitation).

  • Survey of research. 10 pp. gzipped ps, (introduction to research and to the updated version of the livre-docência thesis, December 2005).



  • Links to some videotaped lectures:



    Some useful math links

  • AMS page
  • MathSciNet

  • Math links: institutions

  • Institute of Mathematics and Statistics, University of São Paulo
  • IMS, Stony Brook University
  • Dynamics page, IMS, Stony Brook University
  • IML, Luminy, Marseilles
  • CIRM, Luminy, Marseilles
  • IHES, Paris
  • IMPA, Rio de Janeiro
  • MSRI, Berkeley
  • ESI (Erwin Schrödinger Institute), Vienna


  • Ensinamento, 2a semestre de 2016:

  • MAT 2116, Algebra Linear, Instituta da Quimica