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Carsten Peterson

Email: carstenp at umich dot edu

Office: East Hall 1860

About me

Hello, my name is Carsten Peterson. I am a fourth year graduate student at the University of Michigan. I did my undergrad at Yale University. My advisor is Ralf Spatzier. My current focus is in the direction of quantum ergodicity, which relates ergodicity of a dynamical system with equidistribution of the eigenfunctions of the corresponding Laplace operator. More specifically I am working on formulating a version of quantum ergodicity for affine buildings, which can be interpreted as discrete (or, in some cases, p-adic) analogues of symmetric spaces (the rank one affine buildings are the infinite regular trees). More generally my interests are broad and ever-growing: $\{$things I don't like$\}$ $\subset$ $\{$things I don't understand$\}$.

Publications

  1. K. Cordwell, M. Hlavacek, C. Huynh, S. J. Miller, C. Peterson, and Y. N. T. Vu, Summand minimality and asymptotic convergence of generalized Zeckendorf decompositions (arxiv version). Res. Number Theory (2018) 4: 43.
  2. S. J. Miller, C. Peterson, C. Sprunger, and R. van Peski, The bidirectional ballot polytope (arxiv version). Integers 18 (2018), #A81.
  3. S. J. Miller and C. Peterson, A geometric perspective on the MSTD question (arxiv version). Discrete Comput. Geom. 62, 832-855 (2019).