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Department of Mathematics

Darren Creutz

Visiting Associate Professor

Research Interests

Ergodic theory, lattices in Lie groups, subshifts, mixing properties, word complexity

Publications

  • 2023 Low Complexity Subshifts have Discrete Spectrum, Forum of Mathematics, Sigma, (toappear), D. Creutz and R. Pavlov.
  • 2023 Word Complexity of (Measure-Theoretically) Weakly Mixing Rank-One Sub-shifts, Journal of Ergodic Theory and Dynamical Systems, (to appear), D. Creutz.
  • 2023 Stabilizers of Stationary Actions of Lattices in Semisimple Groups, Groups, Geometry and Dynamics, (to appear), D. Creutz.
  • 2022 Character Rigidity for Lattices and Commensurators, American Journal of Mathematics, (to appear), D. Creutz and J. Peterson.
  • 2022 Measure-Theoretically Mixing Subshifts with Low Complexity, Journal of Ergodic Theory and Dynamical Systems, https://www.doi.org/10.1017/etds.2022.42, D. Creutz, R. Pavlov and S. Rodock.
  • 2022 Harmonic Functions on Compactly Generated Groups, International Journal of Mathematics, Vol. 33, No. 4, D. Creutz.
  • 2021 Mixing on Stochastic Staircase Transformations, Studia Mathematica, Vol. 257 p. 121–153, D. Creutz.
  • 2017 Stabilizers of Actions of Lattices in Products of Groups, Journal of Ergodic Theory and Dynamical Systems, Vol. 37 p. 1133–1186, D. Creutz.
  • 2017 Stabilizers of Ergodic Actions of Lattices and Commensurators, Transactions of the American Mathematical Society, Vol. 369 p. 4119–4166, D. Creutz and J. Peterson.
  • 2016 Contractive Spaces and Relatively Contractive Maps, AMS Contemporary Mathematics: Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby, Vol. 678 p. 103–132, D. Creutz.
  • 2014 A Normal Subgroup Theorem for Commensurators of Lattices, Groups, Geometry and Dynamics, Vol. 8 p. 789–810, D. Creutz and Y. Shalom.
  • 2010 Mixing on Rank-One Transformations, Studia Mathematica, Vol. 199 p. 43–72, D. Creutz and C.E. Silva.
  • 2004 Mixing on a Class of Rank-One Transformations, Journal of Ergodic Theory and Dynamical Systems, Vol. 24 p. 407–440, D. Creutz and C.E. Silva.