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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,, 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.

Entropy on regular trees (with Ibrahim Salama), Disc. Conts. Dyn. Sys. 40, 7 (2020), 4453-4477. SecondPaper2019_09_30

Asymptotic pressure on Cayley graphs of finitely generated semigroups (with Ibrahim Salama), preprint, April 2022.

A classification of nonexpansive Bratteli-Vershik systems (with Sandi Shields), preprint, November 2021.