# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: fisher.albert-meads Published as: Fisher, A. M.; Fisher, Albert; Fisher, Albert M.; Fisher, Albert Meads; Meads Fisher, Albert Homepage: https://www.ime.usp.br/~afisher/ External Links: MGP · Wikidata
 Documents Indexed: 21 Publications since 1987
all top 5

#### Co-Authors

 4 single-authored 4 Bedford, Tim 4 Talet, Marina 2 Almeida, Joao Paulo Andrade 2 Arnoux, Pierre 2 Pinto, Alberto Adrego 2 Rand, David A. 2 Urbański, Mariusz 1 Aaronson, Jon 1 Denker, Manfred 1 Ferenczi, Sébastien 1 Kaimanovich, Vadim A. 1 Lopes, Artur Oscar 1 Schmidt, Thomas A.
all top 5

#### Serials

 4 Ergodic Theory and Dynamical Systems 2 Journal d’Analyse Mathématique 2 Proceedings of the London Mathematical Society. Third Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Nonlinearity 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Electronic Journal of Probability 1 Discrete and Continuous Dynamical Systems 1 Stochastics and Dynamics
all top 5

#### Fields

 18 Dynamical systems and ergodic theory (37-XX) 9 Probability theory and stochastic processes (60-XX) 7 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

18 Publications have been cited 163 times in 116 Documents Cited by Year
Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Zbl 0706.28009
Bedford, Tim; Fisher, Albert M.
1992
Convex-invariant means and a pathwise central limit theorem. Zbl 0627.60034
Fisher, Albert
1987
Nonstationary mixing and the unique ergodicity of adic transformations. Zbl 1231.28014
Fisher, Albert M.
2009
Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets. Zbl 0886.58089
Bedford, Tim; Fisher, Albert M.
1997
Anosov families, renormalization and non-stationary subshifts. Zbl 1140.37314
Arnoux, Pierre; Fisher, Albert M.
2005
The scenery flow for geometric structures on the torus: The linear setting. Zbl 0993.37018
Arnoux, P.; Fisher, A. M.
2001
Exact bounds for the polynomial decay of correlation, $$1/f$$ noise and the CLT for the equilibrium state of a non-Hölder potential. Zbl 1068.37017
Fisher, Albert M.; Lopes, Artur
2001
Integer Cantor sets and an order-two ergodic theorem. Zbl 0788.58032
Fisher, Albert M.
1993
Minimality and unique ergodicity for adic transformations. Zbl 1218.37011
Ferenczi, Sebastien; Fisher, Albert M.; Talet, Marina
2009
The scenery flow for hyperbolic Julia sets. Zbl 1014.37034
Bedford, Tim; Fisher, Albert M.; Urbański, Mariusz
2002
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M.
1992
On the magnification of Cantor sets and their limit models. Zbl 0843.28002
Bedford, Tim; Fisher, Albert M.
1996
Distribution of approximants and geodesic flows. Zbl 1326.37024
Fisher, Albert M.; Schmidt, Thomas A.
2014
The self-similar dynamics of renewal processes. Zbl 1225.60143
2011
Small-scale structure via flows. Zbl 1078.37025
Fisher, Albert M.
2004
On invariant line fields. Zbl 1046.37033
Fisher, Albert M.; Urbański, Mariusz
2000
Dynamical attraction to stable processes. Zbl 1246.37020
Fisher, Albert M.; Talet, Marina
2012
A Poisson formula for harmonic projections. Zbl 0903.60064
1998
Distribution of approximants and geodesic flows. Zbl 1326.37024
Fisher, Albert M.; Schmidt, Thomas A.
2014
Dynamical attraction to stable processes. Zbl 1246.37020
Fisher, Albert M.; Talet, Marina
2012
The self-similar dynamics of renewal processes. Zbl 1225.60143
2011
Nonstationary mixing and the unique ergodicity of adic transformations. Zbl 1231.28014
Fisher, Albert M.
2009
Minimality and unique ergodicity for adic transformations. Zbl 1218.37011
Ferenczi, Sebastien; Fisher, Albert M.; Talet, Marina
2009
Anosov families, renormalization and non-stationary subshifts. Zbl 1140.37314
Arnoux, Pierre; Fisher, Albert M.
2005
Small-scale structure via flows. Zbl 1078.37025
Fisher, Albert M.
2004
The scenery flow for hyperbolic Julia sets. Zbl 1014.37034
Bedford, Tim; Fisher, Albert M.; Urbański, Mariusz
2002
The scenery flow for geometric structures on the torus: The linear setting. Zbl 0993.37018
Arnoux, P.; Fisher, A. M.
2001
Exact bounds for the polynomial decay of correlation, $$1/f$$ noise and the CLT for the equilibrium state of a non-Hölder potential. Zbl 1068.37017
Fisher, Albert M.; Lopes, Artur
2001
On invariant line fields. Zbl 1046.37033
Fisher, Albert M.; Urbański, Mariusz
2000
A Poisson formula for harmonic projections. Zbl 0903.60064
1998
Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets. Zbl 0886.58089
Bedford, Tim; Fisher, Albert M.
1997
On the magnification of Cantor sets and their limit models. Zbl 0843.28002
Bedford, Tim; Fisher, Albert M.
1996
Integer Cantor sets and an order-two ergodic theorem. Zbl 0788.58032
Fisher, Albert M.
1993
Analogues of the Lebesgue density theorem for fractal sets of reals and integers. Zbl 0706.28009
Bedford, Tim; Fisher, Albert M.
1992
Second order ergodic theorems for ergodic transformations of infinite measure spaces. Zbl 0738.28011
Aaronson, Jon; Denker, Manfred; Fisher, Albert M.
1992
Convex-invariant means and a pathwise central limit theorem. Zbl 0627.60034
Fisher, Albert
1987
all top 5

#### Cited by 160 Authors

 8 Fisher, Albert Meads 5 Giuliano, Rita 5 Macci, Claudio 5 Thuswaldner, Jörg Maximilian 4 Berthé, Valérie 4 Käenmäki, Antti 3 Bezuglyi, Sergey I. 3 Falconer, Kenneth J. 3 Ferenczi, Sébastien 3 Hochman, Michael 3 Lopes, Artur Oscar 3 Mörters, Peter 3 Muentes Acevedo, Jeovanny de Jesus 3 Pinto, Alberto Adrego 3 Sarig, Omri M. 3 Shmerkin, Pablo S. 3 Solomyak, Boris 3 Steiner, Wolfgang 3 Talet, Marina 3 Zähle, Martina 2 Aaronson, Jon 2 Almeida, Joao Paulo Andrade 2 Arnoux, Pierre 2 Bedford, Tim 2 Denker, Manfred 2 Dolgopyat, Dmitry 2 Heersink, Byron 2 Hubert, Pascal 2 Karpel, Olena 2 Kwiatkowski, Jan 2 Mayer, Volker 2 Medynets, Konstantin 2 Pacchiarotti, Barbara 2 Patzschke, Norbert 2 Pollicott, Mark 2 Priebe Frank, Natalie 2 Rossi, Eino 2 Treviño, Rodrigo 2 Urbański, Mariusz 1 Al-Najjar, Nabil Ibraheem 1 Allen, Demi 1 Allen, Matthew R. 1 Arthur, C. 1 Avila Cordeiro de Melo, Artur 1 Bandt, Christoph 1 Barat, Guy 1 Baraviera, Alexandre Tavares 1 Boshernitzan, Michael D. 1 Bousch, Thierry 1 Bromberg, Michael 1 Brosamler, Gunnar Arnvid 1 Bufetov, Aleksandr Igorevich 1 Calef, Matthew T. 1 Castro, Armando 1 Chekhova, Nataliya 1 Chen, Changhao 1 Cheng, Shihong 1 Cioletti, Leandro Martins 1 Cirilo, Patricia R. 1 Cortez, Maria Isabel 1 Cruttwell, G. S. H. 1 Csáki, Endre 1 Culter, Christopher J. 1 Deng, Qirong 1 Dougall, Rhiannon 1 Dovgoshey, Oleksiy Alfredovich 1 Duryev, Eduard 1 Edwards, H. Carter 1 Feng, De-Jun 1 Földes, Antónia 1 Fraser, Jonathan MacDonald 1 Garcia, Ignacio 1 Gatzouras, Dimitris 1 Gavish, Matan 1 Giuliano Antonini, Rita 1 Graf, Siegfried 1 Ha, Hyungtae 1 Hafouta, Yeor 1 Hare, Kathryn E. 1 Hella, Olli 1 Holton, Charles G. 1 Hörmann, Siegfried 1 Hu, Huyi 1 Hua, Su 1 Iommi, Godofredo 1 Kaimanovich, Vadim A. 1 Kamae, Teturo 1 Koivusalo, Henna 1 Krieg, Daniela 1 Lapidus, Michel L. 1 Larson, Paul B. 1 Leppänen, Juho 1 Li, Deli 1 Li, Huaibin 1 Li, Jinnan 1 Liardet, Pierre 1 Lima, Yuri 1 Lindsey, Kathryn A. 1 Lopes, Sílvia R. C. 1 Marstrand, John M. ...and 60 more Authors
all top 5

#### Cited in 51 Serials

 11 Ergodic Theory and Dynamical Systems 8 Transactions of the American Mathematical Society 7 Journal d’Analyse Mathématique 7 Journal of Mathematical Analysis and Applications 6 Israel Journal of Mathematics 5 Monatshefte für Mathematik 4 Journal of Statistical Physics 4 Dynamical Systems 3 Annales de l’Institut Fourier 3 Stochastic Processes and their Applications 3 Stochastics and Dynamics 2 Communications in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematische Nachrichten 2 Mathematika 2 Topology and its Applications 2 Statistics & Probability Letters 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Difference Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Annals of Mathematics. Second Series 1 Bulletin of the Australian Mathematical Society 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Mathematica Hungarica 1 Statistics 1 Probability Theory and Related Fields 1 Japan Journal of Industrial and Applied Mathematics 1 Expositiones Mathematicae 1 Stochastics and Stochastics Reports 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Mathematical Logic 1 Brazilian Journal of Probability and Statistics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mediterranean Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Sankhyā. Series A 1 Journal of Nonlinear Dynamics
all top 5

#### Cited in 20 Fields

 70 Dynamical systems and ergodic theory (37-XX) 42 Measure and integration (28-XX) 34 Probability theory and stochastic processes (60-XX) 16 Number theory (11-XX) 5 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.