---

Papers and preprints by Roland Zweimüller:

[ORCID  https://orcid.org/0000-0003-3171-6397]

Published or submitted:

• R. Zweimüller:   Ergodic structure and invariant densities of non-markovian interval maps with indifferent fixed points.  
  Nonlinearity 11 (1998), 1263-1276. ( published paper, preprint )
  
• R. Zweimüller:   Ergodic properties of infinite measure preserving interval maps with indifferent fixed points.  
  Ergod. Th. & Dynam. Sys. 20 (2000), 1519-1549. ( published paper, preprint )
  
• X. Bressaud, R. Zweimüller:   Non exponential law of entrance times in asymptotically rare events for intermittent maps with infinite invariant measure.
  Ann. Henri Poincaré 2 (2001), 501-512.  ( published paper, preprint )
  
• G. Keller, R. Zweimüller:   Unidirectionally coupled interval maps: between dynamics and statistical mechanics.  
  Nonlinearity 15 (2002), 1-24.  ( published paper, preprint  )
  
• R. Zweimüller:   Exact C ^infty covering maps of the circle without (weak) limit measures.
  Colloq. Math. 93 (2002), 295-302.  ( published paper, preprint  )
  
• R. Zweimüller:   Stable limits for probability preserving maps with indifferent fixed points. 
  Stochastics and Dynamics 3 (2003), 83-99.  ( published paper, preprint, typo )
  
• R. Zweimüller:   Kuzmin, coupling, cones, and exponential mixing.
  Forum Math. 16 (2004), 447-457.  ( published paper, preprint )
  
• J. Aaronson, M. Denker, O. Sarig, R. Zweimüller:  Aperiodicity of cocycles and conditional local limit theorems.  
  Stochastics and Dynamics 4 (2004), 31-62.  ( published paper, preprint )
  
• R. Zweimüller:   S-unimodal Misiurewicz maps with flat critical points.
  Fundamenta Math. 181 (2004), 1-25.  ( published paper, preprint )
  
• R. Zweimüller:   Hopf’s ratio ergodic theorem by inducing.
  Colloq. Math. 101 (2004), 289-292.  ( published paper, preprint )
  
• R. Zweimüller:   Uniqueness of the maximal function in the ratio ergodic theorem.
  Illinois J. Math. 48 (2004), 1259-1265.  ( published paper, preprint )
  
• R. Zweimüller:   Invariant measures for general(ized) induced transformations.
  Proc. Amer. Math. Soc. 133 (2005), 2283-2295.  (published paper,  preprint)
  Here is a little addendum to this paper.
  
• J. Aaronson, M. Thaler, R. Zweimüller:   Occupation times of sets of infinite measure for ergodic transformations.  
  Ergod. Th. & Dynam. Sys. 25 (2005), 959-976.  ( published paper,  preprint )
  
• M. Thaler, R. Zweimüller:   Distributional limit theorems in infinite ergodic theory.
  Probability Theory and Related Fields 135 (2006), 15-52.   ( published paper,  preprint )
  
• R. Zweimüller:   Asymptotic orbit complexity of infinite measure preserving transformations. 
  Discrete and Continuous Dynamical Systems 15 (2006), 353-366. ( published paper, preprint )
  
• R. Zweimüller:   Infinite measure preserving transformations with compact first regeneration.
  Journal d’Analyse Mathematique 103 (2007), 93-131. ( published paper, preprint  )
  
• R. Zweimüller:   Mixing limit theorems for ergodic transformations.
  Journal of Theoretical Probability 20 (2007), 1059-1071. ( published paper, preprint )
  
• R. Zweimüller:   Poisson suspensions of compactly regenerative transformations.
  Colloq. Math. 110 (2008), 211-225. ( published paper, preprint )
  
• R. Zweimüller:   Waiting for long excursions and close visits to neutral fixed points of null-recurrent ergodic maps.
  Fundamenta Math. 198 (2008), 125-138. ( published paper, preprint  )
  
• R. Zweimüller:   Measure preserving transformations similar to Markov shifts.
  Israel J. Math. 173 (2009), 421-443.  ( published paper,  preprint )
  
  
• J.-B. Bardet, G. Keller, R. Zweimüller:   Stochastically stable globally coupled maps with bistable thermodynamic limit.
  Commun. Math. Phys. 292 (2009),  237-270.  ( published paper,  preprint )
  
  
• R. Zweimüller:   Measure preserving extensions and minimal wandering rates.
  Israel J. Math. 181 (2011), 295-303. ( published paper, preprint )
  
  
• D. Kocheim, R. Zweimüller:   A joint limit theorem for compactly regenerative ergodic transformations.
  Studia Math. 203 (2011),  33-45.   ( published paper,  preprint  )
  
  
• F. Pène, B. Saussol, R. Zweimüller:   Recurrence rates and hitting-time distributions for random walks on the line.
  The Annals of Probability 41 (2013), 619-635. ( published paper,  article pdf )
  
  
• A. Berger, R. Zweimüller:   Invariant measures for general induced maps and towers.
  Discrete and Continuous Dynamical Systems 33 (2013), 3885-3901. ( published paper, preprint )
  
  
• J. Aaronson, R. Zweimüller:   Limit theory for some positive stationary processes with infinite mean.
  Annales de l'Institut Henri Poincare 50 (2014), 256-284. ( published paper, preprint )
  
  
• N. Haydn, N. Winterberg, R. Zweimüller:   Return-time statistics, hitting-time statistics, and inducing.
  In  G. Froyland, W. Bahsoun, C. Bose (eds): Ergodic Theory, Open Dynamics, and Coherent Structures,
  Springer Proceedings in Mathematics & Statistics 70 (2014), 217-227. ( published paper , preprint )
  
  
• I. Melbourne, R. Zweimüller:   Weak convergence to stable Levy processes for nonuniformly hyperbolic dynamical systems.
  Annales de l'Institut Henri Poincare 51 (2015), 545-556. ( published paper, pdf )
  
  
• R. Zweimüller:   The general asymptotic return-time process.
  Israel J. Math. 212 (2016), 1-36.  (published paper , preprint )
  
  
• F. Pène, B. Saussol, R. Zweimüller:   Return- and hitting-time limits for rare events of null-recurrent Markov maps.
  Ergod. Th. & Dynam. Sys. 37 (2017), 244-276. ( preprint , published paper )
  
  
• R. Zweimüller:   Hitting-time limits for some exceptional rare events of ergodic maps.  
  Stochastic Process. Appl. 129 (2019), 1556-1567.  ( preprint ,  published paper )
  
  
• S. Rechberger, R. Zweimüller:   Return- and hitting-time distributions of small sets in  infinite measure preserving systems.
  Ergod. Th. & Dynam. Sys. 40 (2020),  2239-2273.  ( preprint  ,  published paper )
  
  
• R. Zweimüller:   Hitting times and positions in rare events. 
  Annales Henri Lebesgue 5 (2022), 1361-1415.  (published paper)
  
  
• D. Kocheim, F. Pühringer, R. Zweimüller:   A functional stable limit theorem for Gibbs-Markov maps. 
  Annales de l'Institut Henri Poincare 59 (2023), 185-207. (  journal , pdf )
  
  
• R. Zweimüller:   Image sets and basic ergodic properties in non-invertible dynamics. 
  submitted. ( preprint )
  
• T.I. Schindler, R. Zweimüller:   Prime numbers in typical continued fraction expansions. 
  Boll Unione Mat Ital 16 (2023), 259-274. (  published paper  )
  
  
• M. Auer, R. Zweimüller:   Local limit theorems for hitting times and return times of small sets. 
  preprint. ( preprint  )
  
  
  
  
  

Course notes; expository papers:

• R. Zweimüller:   Surrey Notes on Infinite Ergodic Theory.
  Notes accompanying a course on Infinite Ergodic Theory at the LMS Graduate school on Ergodic Theory
  at the University of Surrey, UK;  16th-19th March 2009   ( pdf )
  

---

List of coauthors (in alphabetical order):

Jon Aaronson (Tel Aviv Univ, IL), Max Auer (Univ of Maryland, US),  Jean-Baptiste Bardet (Univ Rouen, F), Arno Berger (Univ of Alberta, CA), Xavier Bressaud (Univ Toulouse, F),
Manfred Denker (Penn State, US), Nicolai Haydn (South California, US), Gerhard Keller (Univ of Erlangen, D), David Kocheim (Univ of Vienna, A),
Ian Melbourne (Univ of Warwick, UK), Francoise Pène (Univ Brest, F), Fabian Pühringer (Univ of Vienna, A), Simon Rechberger (Univ of Vienna, A),
Omri Sarig (Weizmann Institute, IL), Benoit Saussol (Univ Brest, F), Tanja Schindler (Univ of Vienna, A),  Maximilian Thaler (Univ Salzburg, A), Nicole Winterberg (Univ Salzburg, A)

---

      Last update:  Jan 2024