Some reprints and preprints
Random ergodic theorems with universally representative sequences (with Michael Lacey, Dan Rudolph, and Mate Wierdl), Ann. Inst. H. Poincaré 30 (1994), 353-395. univ
Ergodic theorems and the basis of science, Synthese 108 (1996), 171-183. phil2
Symmetric Gibbs measures (with Klaus Schmidt),Trans. Amer. Math. Soc. 349 (1997), 2775-2811. gibbs6
Binomial-coefficient multiples of irrationals (with Terrence M. Adams), Monatsh. f. Math. 125 (1998), 269-278. adams8
Factor maps between tiling dynamical systems, Forum Math. 11 (1999), 503-512. tilecode
Nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem (with Michael Keane), Dynamics & Stochastics, Festschrift in Honor of M. S. Keane, IMS Lecture Notes–Monograph Series 48, Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, Editors, IMS, Beachwood, Ohio, 2006, 248-251. KeanePetersenLNMS
Measures of maximal relative entropy (with Anthony Quas and Sujin Shin), Erg. Th. Dyn. Sys. 23 (2003), 207-223. pqsfinal
Tail fields generated by symbol counts in measure-preserving systems (with Jean-Paul Thouvenot)
Colloq. Math. 101 (2004), 9-23. quant10
Dynamical properties of the Pascal adic transformation (with Xavier Méla), Erg. Th. Dyn. Sys. 25 (2005), 227-256. part1
On the definition of relative pressure for factor maps on shifts of finite type (with Sujin Shin)
Bull. London Math. Soc. 37 (2005), 601-612. RPfinal
Ergodicity of the adic transformation on the Euler graph (with Sarah Bailey, Michael Keane, and Ibrahim Salama), Math. Proc. Camb. Phil. Soc. 141 (2006), 231-238. EulerErgodicity
Random permutations and unique fully supported ergodicity for the Euler adic transformation (with Sarah Bailey Frick), Ann. Inst. Henri Poincare Prob. Stat. 44 (2008), 876-885. AIHP133
Measure-Preserving Systems, Springer Online Encyclopedia of Complexity. mpsart4-30-07
Basic Constructions and Examples (with Matthew Nicol), Springer Online Encyclopedia of Complexity. Constructions11-12-07_rev
Reinforced random walks and adic transformations (with Sarah Bailey Frick), J. Theoret. Probab. 23 (2010), no. 3, 920-943. atrw2009-11-16
The Euler adic dynamical system and path counts in the Euler graph (with Alexander Varchenko), Tokyo J. Math. 33, No. 2 (2010), 327-340. Bpq08-25-09
Path count asymptotics and Stirling numbers (with Alexander Varchenko), Proc. Amer. Math. Soc. 140 (2012), 1909-1919. PetersenVarchenko2012
Hidden Markov processes in the context of symbolic dynamics (with Mike Boyle), in Entropy of Hidden Markov Processes and Connections to Dynamical Systems, London Math. Soc. Lecture Note Ser., 385, Cambridge Univ. Press, Cambridge, 2011, 5-71. 06Jan2010
An adic dynamical system related to the Delannoy numbers, Erg. Th. Dyn. Sys. 32 (2012), 809-823. Delannoy2011-04-11
Markov diagrams for some non-Markovian systems (with Kathleen Carroll), Contemp. Math. 678 (2016), 73-101. PetersenCarroll2016PAMS
Dynamical properties of some adic systems with arbitrary orderings (with Sarah Frick and Sandi Shields), Erg. Th. Dyn. Sys. 2016. ExpansiveOrderingsFirstView2016_04_11
Dynamical intricacy and average sample complexity (with Benjamin Wilson), Dynamical Systems, http://dx.doi.org/10.1080/14689367.2017.1374352, 2017. PetersenWilson2016_11_16
Constructive symbolic presentations of rank one measure-preserving systems (with Terrence Adams and Sébastien Ferenczi), Colloq. Math. 150 (2017), 243-255. AFPColloqMathonlineFirst
Tree shift topological entropy (with Ibrahim Salama), Theoret. Comput. Sci. 743 (2018), 64-71. TreeShiftComplexity2018_05_14
Periodic codings of Bratteli-Vershik systems (with Sarah Frick and Sandi Shields), Math. Scand. 126 (2020), 298-320.
PeriodicCodingsArxiv2020_03_13
Entropy on regular trees (with Ibrahim Salama), Disc. Conts. Dyn. Sys. 40, 7 (2020), 4453-4477. SecondPaper2019_09_30
Asymptotic pressure on sone self-similar trees (with Ibrahim Salama), Stochastics and Dynamics 23, 2 (2023).
AsymptoticPressure2022_10_03
A classification of nonexpansive Bratteli-Vershik systems (with Sandi Shields), Disc. Conts. Dyn. Sys. (January 2024).
PetersenShieldsEarlyAccessdoi10.3934_dcds.2023155
(https://www.aimsciences.org/article/doi/10.3934/dcds.2023155)
Density of group languages in shift spaces (with Valérie Berthé, Herman Goulet-Ouellet, Carl-Fredrik Nyberg Brodda, and Dominique Perrin), preprint, March 2024.
Berthe+2024Densities