Contact information:

Ronnie Pavlov
Office: John Greene Hall 304
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. See my research statement for more information.

Professional Information
Curriculum Vitae Teaching Statement Research Statement
Current Courses
Math 3161 (Real Analysis) Course Homepage, Spring Quarter 2012 Math 1150 (Mathematics of Games) Course Homepage, Spring Quarter 2012
Previous Courses
Math 1953 (Calculus III) Course Homepage, Autumn Quarter 2011 Math 3080 (Probability I) Course Homepage, Autumn Quarter 2011 2011 William Lowell Putnam Exam study sessions Math 1150 (Mathematics of Games) Course Homepage, Spring Quarter 2011 Math 3705 (Symbolic Dynamics) Course Homepage, Spring Quarter 2011 Math 1951 (Sections 5 and 7) Course Homepage, Autumn Quarter 2010
Publications
Shifts of finite type with nearly full entropy, submitted. One dimensional Markov random fields, Markov chains and topological Markov fields (joint with N. Chandgottia, G. Han, B. Marcus, and T. Meyerovitch), Proc. Amer. Math. Soc., to appear. Entropy and measures of maximal entropy for axial powers of subshifts (joint with Tom Meyerovitch), submitted. Projectional subdynamics of Z^d shifts of finite type (joint with Michael Schraudner), submitted. A class of nonsofic multidimensional shift spaces, Proc. Amer. Math. Soc., to appear. Approximating entropy for a class of Markov random fields on the square lattice (joint with Brian Marcus), Ergodic Theory Dynam. Systems, to appear. Independence entropy of Z^d-shift spaces (joint with Erez Louidor and Brian Marcus), Acta. Appl. Math., to appear. Approximating the hard square entropy constant with probabilistic methods, Ann. Probab., to appear. 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 (joint 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. Some results on recurrence and entropy (Ph.D. thesis)
Links
DU Math Department Homestarrunner.com puzzle-nonograms Jasmine and Ronnie's Wedding Page My wife Jasmine's website