Research Publications

• "Weak Rational Ergodicity Does Not Imply Rational Ergodicity," with Terrence M. Adams, Israel Journal of Mathematics, to appear. http://arxiv.org/abs/1502.06566
  
  
• "Ergodicity and Conservativity of products of infinite transformations and their inverses," Julien Clancy, Rina Friedberg, Isaac Loh, Indraneel Kalsmarka, Sahana Vasudevan, Colloq. Math., to appear. http://arxiv.org/abs/1408.2445
  
  
• "On Infinite Transformations with Maximal Control of Ergodic Two-fold Product Powers," with Terrence M. Adams, Israel Journal of Mathematics, to appear. http://arxiv.org/abs/1402.1818
  
  
• “Subsequence Bounded Rational Ergodicity of Rank-One Transformations,” with Francisc Bozgan, Anthony Sanchez, David Stevens and Jane Wang, Dynamical Systems, 30 (2015), no. 1, 70--84. SubsequenceRatErgRankOne.pdf
  For an older more extensive version: http://arxiv.org/abs/1310.5084
  
  
• "On $v$-Positive Type Transformations in Infinite Measure," with Tudor Padurariu and Evangelie Zachos, Colloq. Math. 140 (2015), 149—170. On $v$-Positive Type Transformations in Infinite Measure
  
  
• "On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations," with Irving Dai, Xavier Garcia, and Tudor Padurariu, Ergodic Theory & Dynamical Systems 35 (2015), no. 4, 1141--1164. On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations
  
  
• "On Li-Yorke Measurable Sensitivity," with Jared Hallett and Lucas Manuelli, Proc. Amer. Math. Soc. 143 (2015), no. 6, 2411--2426. On Li-Yorke Measurable Sensitivity
  
  
• "Measurable Time-Restricted Sensitivity," with Domenico Aiello, Hansheng Diao, Zhou Fan, Daniel O. King, and Jessica Lin, Nonlinearity 25 (2012), 3313--3325. Measurable Time-Restricted Sensitivity
  
  
• "On $\mu$-Compatible Metrics and Measurable Sensitivity," with Ilya Grigoriev, Nathaniel Ince, Marius Catalin Iordan, Amos Lubin, Colloquium Math. 126 (2012), 53--72. On $\mu$-Compatible Metrics
  
  
• "Digraph Representations of Rational Functions over $p$-adic Numbers," with Hansheng Diao, P-adic Numbers, Ultrametric Analysis, and Applications, Vol. 3, No. 1, (2011) 23--38. Digraph Representations
  
  
• "Dynamics of the $p$-adic shift and Applications," with J. Kingsbery, A. Levin, and A. Preygel, Discrete and Continuous Dynamical Systems, 30, (2011), no. 1, 209--218. Dynamics of the $p$-adic shift and Applications
  
  
• "Mixing on Rank-One Transformations," with D. Creutz, Studia Math. 199 (2010), no. 1, 43–72. 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, Colloq. Math., 119 (2010), 1-22. Small04May_5_2009.pdf
  
  
• "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. 15 (2009), 393--403. Weakly mixing and uniformly rigid
  
  
• "Ergodic Theory: Nonsingular Transformations," with A. Danilenko, Encyclopedia of Complexity and Systems Science, Springer, (2009), Part 5, 3055-3083. 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 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].