Research Publications

• Measurable Sensitivity, with J. James, T. Koberda, K. Lindsey, and P. Speh, Proc. Amer. Math. Soc., to appear. MeasurableSensitivity.pdf
  
  
• Measurable Dynamics of Maps on Profinite Groups, with J. Kingsbery, A. Levin, and A. Preygel, Indagationes Math., to appear. ProfiniteGroups.pdf
  
  
• On measure-preserving C^1 transformations of compact-open subsets of non-archimedean local fields, with J. Kingsbery, A. Levin, and A. Preygel, Tran. Amer Math. Soc., to appear LocallyScaling.pdf
  
  
• Mixing on Rank-One Transformations, with D. Creutz, preprint.
  
  
• Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations, P. Jeasakul, A. Jirapattanakul, D. Kane, B. Robinson, and N. Stein, preprint.
  
  
• Mixing rank-one actions of locally compact abelian groups, with A. Danilenko, Ann. Inst. H. Poincaré Probab. Statist. 43 (2007), no. 4, 375--398. MixingAbelianGroups.pdf
  
  
• Weakly Mixing and Doubly Ergodic Infinite Measure-Preserving R^d actions, with S. Iams, B. Katz, B. Street, and K. Wickelgren, Colloq. Math. 103 (2005), 247-264. WeaklyMixingRd.pdf
  
  
• Measurable Dynamics of Simple p-adic Polynomials, with J. Bryk, Amer. Math. Monthly, Vol. 112 (2005), no. 3, 212-232. pAdicMeasurableSystems.pdf
  
  
• Multiple and Polynomial Recurrence for Abelian Actions in Infinite Measure, with A. Danilenko, Journal London Math. Soc. (2) 69 (2004), no. 1, 183-200. AbelianMultRec.pdf
  
  
• Power Weak Mixing does not imply Multiple Recurrence in Infinite Measure and other Counterexamples, with K. Gruher, F. Hines, D. Patel, and R. Waelder, New York Journal of Mathematics 9 (2003), 1-22.http://nyjm.albany.edu:8000/j/2003/Vol9.htm
  
  
• Mixing on a class of rank one transformations, with D. Creutz, Ergodic Theory and Dynam. Sys. 24 (2004), no. 2, 407-440. RankOneMixing.pdf
  
  
• Genericity of Rigid and Multiply Recurrent Infinite Measure Preserving and Nonsingular Transformations, with O. N. Ageev, Topology Proceedings 26 No. 2 (2001-2002), pp. 357-365. GenMultRec.pdf
  
  
• Double Ergodicity of Nonsingular Transformations and Infinite Measure Preserving Staircase Transformations, with A. Bowels, L. Fidkowski, and A.E. Marinello, Illinois J. Math., Vol. 45, No. 3, (2001), 999-1019.
  
  
• Factors of Cartesian products of nonsingular Chacon transformations, with A. del Junco, Ergodic Theory and Dynam. Sys. 23 (2003), 1445-1465. FactorsTxS.pdf
  
  
• On nonsingular Chacon transformations, with T. Hamachi, Illinois J. Math., Vol. 44, No. 4, (2000), 868-883.
  
  
• Rank one power weakly mixing nonsingular transformations, with T. Adams and N. Friedman, Ergodic Theory and Dyn. Sys. 21 (2001), no. 5, 1321--1332.
  
  
• Power weakly mixing infinite transformations, with S.L. Day, B.R. Grivna, and E.P. McCartney, New York J. of Math., 5 (1999), 17-24. http://nyjm.albany.edu:8000/j/1999/5-2.html
  
  
• Lightly mixing on dense algebras, with E. Muehlegger, A. Raich, and W. Zhao, Real Analysis Exchange, Vol. 23, No. 1, (1998), 259-266. [MR 99c:28052].
  
  
• Zd staircase actions, with T. Adams, Ergodic Theory and Dyn. Sys., (1999), 19, 837-850. May be downloaded from http://www.journals.cup.org/
  
  
• Infinite ergodic index Zd actions in infinite measure, with E. Muehlegger '97, B. Narasimhan '97, A. Raich '98, M.Touloumtzis ' 96, and W. Zhao, Colloq. Math., vol. 82, No. 2 (1999), 167-190.
  
  
• Characterizing mildly mixing group actions using orbit equivalence, with J. Hawkins, New York J. of Math., 3A (1998), 99-115. [MR 99b:28019]. http://nyjm.albany.edu:8000/j/1998/3A-8.html
  
  
• Rank-one weak-mixing for nonsingular transformations, with T. Adams and N. Friedman, Israel J. Math, vol. 102, (1997), 269-282. [MR 98j:28013].
  
  
• Prime type IIIl automorphisms: An instance of coding techniques applied to nonsingular maps, with A. del Junco, in Algorithms, Fractals and Dynamics (Okayama/Kyoto, 1992), 101-115, Plenum, New York, 1995. [MR 98f:28026].
  
  
• Quotients of ergodic actions with quasi-invariant measure whose self-joinings are graphs, with D. Witte, Inter. J. Math. 5 (2) (1994), 219-237. [MR: 95k:28042].
• A skew product entropy for nonsingular transformations, with P. Thieullen, J. London Math. Soc. (2) 52 (1995), 497-516. [MR 97a: 28015].
  
  
• Noninvertible transformations admitting no absolutely continuous s-finite invariant measure, with J.M Hawkins, Proc. Amer. Math. Soc. 111 (2) (1991), 455-463. [MR 92h:58115].
  
  
• Minimal self-joinings for nonsingular transformations, with D.J. Rudolph, Ergodic Theory and Dyn. Sys. 9 (1989), 759-800. [MR 91c: 28017].
  
  
• The subadditive ergodic theorem and recurrence properties of Markovian transformations, with P. Thieullen, J. Math. Analysis and App. 154 (1) (1991), 83-99. [MR 92a: 47009].
  
  
• Finite Full Sets in 2-stack Structures, with S. Eigen, Contemporary Math. 94 (1989), 131-140. [MR 90h: 28018].
  
  
• Remarks on recurrence and orbit equivalence of nonsingular transformations, with J. Hawkins, Dynamical Systems (College Park, MD, 1986-87), 281-290, Lecture Notes in Math., 1342, Springer, Berlin-New York, 1988. [MR 90i: 28031].
  
  
• A structure theorem for n-to-1 nonsingular endomorphisms and existence of non-recurrent measures, with S. Eigen, J. London Math. Soc. (2) 40 (1989), 441-451. [MR 91e:28013].
  
  
• On µ-recurrent nonsingular endomorphisms, Israel J. Math. 61 (1988), 1-13. [MR 89f:28042].
  
  
• Truncated ergodic theorems for nonsingular transformations, Rocky Mountain J. Math. 20 (1) (1990), 223-241. [Mathematical Reviews 91f:28011].
  
  

Conference Proceedings