Contact information:

Ronnie Pavlov

Associate Professor, Dept. of Mathematics

Office: Knudson 204

Phone: (303)-871-4001

e-mail: rpavlov at du.edu

My research interests lie primarily in ergodic theory and dynamical systems, and most of my work involves multidimensional symbolic dynamics. My research is supported by National Science Foundation grant DMS-1500685.

I am the current director of the DU Math Center; see http://www.du.edu/mathcenter/ or http://portfolio.du.edu/mathcenter/ for more information.

- A characterization of the sets of periods within shifts of finite type (with Madeline Doering), submitted.

- Follower, predecessor, and extender entropies (with Thomas French), submitted.

- Factor maps and embeddings for random Z^d shifts of finite type (with Kevin McGoff), submitted.

- On non-uniform specification and uniqueness of the equilibrium state in expansive systems, submitted.

- One-sided almost specification and intrinsic ergodicity (with Vaughn Climenhaga), Ergodic Theory Dynam. Systems,
to appear.

- Factoring onto Z^d subshifts with the finite extension property (with Raimundo Briceño and Kevin McGoff), Proc. Amer. Math. Soc., to appear.

- Topologically completely positive entropy and zero-dimensional topologically completely positive entropy, Ergodic Theory Dynam. Systems,
to appear.

- Strong spatial mixing in homomorphism spaces (with Raimundo Briceño), SIAM J. Discrete Math.,
**31**(2017), no. 3, 2110-2137..

- On factors of Z^d SFTs and intrinsic ergodicity (with Kevin McGoff), Ergodic Theory Dynam. Systems,
**37**(2017), no. 2, 621-645.

- Subshifts with slowly growing numbers of follower sets (with Thomas French and Nic Ormes), Contemp. Math.,
**678**(2016), 192-203.

- Random Z^d-shifts of finite type (with Kevin McGoff), J. Mod. Dyn.,
**10**(2016), no. 2, 287-330.

- Extender sets and multidimensional subshifts, (with Nic Ormes), Ergodic Theory Dynam. Systems,
**36**(2016), no. 3, 908-923.

- On intrinsic ergodicity and weakenings of the specification property, Adv. Math.
**295**(2016), 250-270.

- Representation and poly-time approximation for pressure of Z^2 lattice models in the non-uniqueness region
(with Stefan Adams, Raimundo Briceño, and Brian Marcus), J. Stat. Phys.
**162**(2016), no. 4, 1031-1067.

- An integral representation for topological pressure in terms of conditional probabilities, (with Brian Marcus), Israel J. Math.
**207**(2015), no. 1, 395-433.

- Entropies realizable by block gluing shifts of finite type, (with Michael Schraudner), J. Anal. Math.
**126**(2015), 113-174.

- Classification of sofic projective subdynamics of multidimensional shifts of finite type (with Michael Schraudner), Trans. Amer. Math. Soc.
**367**(2015), 3371-3421.

- Entropy and measures of maximal entropy for axial powers of subshifts (with Tom Meyerovitch), Proc. Lond. Math. Soc.
**109**(2014), no. 4, 921-945.

- A characterization of topologically completely positive entropy for shifts of finite type, Ergodic Theory Dynam. Systems
**34**(2014), no. 6, 2054-2065.

- Shifts of finite type with nearly full entropy, Proc. Lond. Math. Soc.
**108**(2014), no. 1, 103-132.

- One dimensional Markov random fields, Markov chains and topological Markov fields (with N. Chandgotia, G. Han, B. Marcus, and T. Meyerovitch), Proc. Amer. Math. Soc.
**142**(2014), no. 1, 227-242.

- Computing bounds for entropy of stationary Z^d Markov random fields (with Brian Marcus), SIAM J. Discrete Math.
**27**(2013), no. 3, 1544-1558.

- Independence entropy of Z^d-shift spaces (with Erez Louidor and Brian Marcus), Acta. Appl. Math.
**126**(2013), 297-317.

- Approximating entropy for a class of Z^2 Markov random fields and pressure for a class of functions on Z^2 shifts of finite type (with Brian Marcus), Ergod. Theory Dynam. Systems
**33**(2013), no. 1, 186-220.

- A class of nonsofic multidimensional shift spaces, Proc. Amer. Math. Soc.
**141**(2013), no. 3, 987-996.

- Approximating the hard square entropy constant with probabilistic methods, Ann. Probab.
**40**(2012), no. 6, 2362-2399.

- Perturbations of multidimensional shifts of finite type, Ergodic Theory Dynam. Systems
**31**(2011), no. 2, 483-526.

- Multidimensional sofic shifts without separation and their factors (with Mike Boyle and Michael Schraudner), Trans. Amer. Math. Soc.
**362**(2010), 4617-4653.

- Some counterexamples in topological dynamics, Ergodic Theory Dynam. Systems
**28**(2008), no. 4, 1291-1322.