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

    • Areas of Interest

    Some papers

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

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

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

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

  • Anosov families, renormalization and nonstationary subshifts, Ergodic Theory and Dynamical Systems {\bf 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: for Conference Proceedings, Fractal Geometry and Stochastics III, Friedrichroda, Germany, March 17-22, 2003, 24 pp. ( 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, 555-570 (with Mariusz Urbanski) ,

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

  • 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, 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)

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

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

    • 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).

  • Ensinamento primeiro semestre de 2012: C\'alculo e Geometria Anal\'itica: pagina web do curso
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    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