Research Publications

• On ergodic transformations that are both weakly mixing and uniformly rigid, with J. James, T. Koberda, K. Lindsey, and P. Speh, New York Journal of Math., to appear. Weakly mixing and uniformly rigid
  
  
• Dynamics of the $p$-adic shift and Applications, with J. Kingsbery, A. Levin, and A. Preygel, submitted. Dynamics of the $p$-adic shift and Applications
  
  
• Ergodic Theory: Nonsingular Transformations, with A. Danilenko, Encyclopedia of Complexity and Systems Science, Springer, to appear. NonsingularTransformations.pdf
  
  
• Measurable Sensitivity, with J. James, T. Koberda, K. Lindsey, and P. Speh, Proc. Amer. Math. Soc. 136 (2008), no. 10, 3549--3559. MeasurableSensitivity
  
  
• Measurable Dynamics of Maps on Profinite Groups, with J. Kingsbery, A. Levin, and A. Preygel, Indag. Math. (N.S.) 18 (2007), no. 4, 561--581. 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. 361 (2009), 61-85. Early version: LocallyScaling.pdf
  
  
• Mixing on Rank-One Transformations, with D. Creutz, submitted. MixingRankOne.pdf
  
  
• 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, submitted. Small04Mar_25_2009.pdf
  
  
• 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. RankOneMixingClass.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