Prof. Dr. Anke Pohl — Publications

Preprints:

  1. Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples (arXiv) 22 pp.
  2. Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume (with R. Bruggeman), to appear in AMS Memoirs (arXiv) 137 pp.
  3. Dynamics of geodesics, and Maass cusp forms (with D. Zagier), to appear in Enseign. Math. (arXiv) 30 pp.
  4. Zero is a resonance of every Schottky surface (with A. Adam and A. Weiße) (arXiv) 13 pp.
  5. A geometric reduction theory for indefinite binary quadratic forms over ℤ[λ] (with V. Spratte) (arXiv) 30 pp.

Articles (peer-reviewed, in publication order):

  1. Numerical resonances for Schottky surfaces via Lagrange-Chebyshev approximation (with O. Bandtlow, T. Schick, A. Weiße), to appear in Stoch. Dyn. (online first, arXiv) 26 pp.
  2. Density of Resonances for covers of Schottky surfaces (with L. Soares), J. Spectr. Theory 10 (2020), no. 3, 1053-1101 (journal, arXiv)
  3. Eisenstein series twisted with non-expanding cusp monodromies (with K. Fedosova), Ramanujan J. 51 (2020), no. 3, 649-670 (journal, arXiv)
  4. Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy (with K. Fedosova), Selecta Math. (N.S.) 26 (2020), no. 1, Paper no. 9 (55 p.) (journal, arXiv)
  5. A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions (with A. Adam), Ergodic Theory Dynam. Systems 40 (2020), no. 3, 612-662 (journal, arXiv)
  6. Fractal Weyl bounds and Hecke triangle groups (with F. Naud and L. Soares), Electron. Res. Announc. Math. Sci. 26 (2019), 24-35 (journal, arXiv)
  7. The category of reduced orbifolds in local charts, J. Math. Soc. Japan 69 (2017), no. 2, 755-800 (journal, arXiv)
  8. Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension (with S. Kadyrov), Ergodic Theory Dynam. Systems 37 (2017), no. 2, 539-563 (journal, arXiv)
  9. The sup-norm problem for the Siegel modular space of rank two (with V. Blomer), Amer. J. Math. 138 (2016), 999-1027 (journal, arXiv)
  10. Symbolic dynamics, automorphic functions, and Selberg zeta functions with unitary representations, Contemp. Math. 669 (2016), 205-236 (journal, arXiv)
  11. Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow Ergodic Theory Dynam. Systems 36 (2016), no. 1, 142-172 (journal, arXiv)
  12. Escape of mass and entropy for diagonal flows in real rank one situations (with M. Einsiedler and S. Kadyrov), Israel J. Math 245 (2015), Vol. 210, no. 1, 245-295 (journal, arXiv)
  13. A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area, Comm. Math. Phys. 337 (2015), no. 1, 103-126 (journal, arXiv)
  14. Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds, Discrete Contin. Dyn. Syst., Ser. A 34 (2014), no. 5, 2173-2241 (journal, arXiv)
  15. Period functions for Maass cusp forms for \Gamma_0(p): a transfer operator approach, International Mathematics Research Notices (2013) Vol. 14, 3250-3273; (journal, arXiv)
  16. Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant (with M. Möller), Ergodic Theory Dynam. Systems 33 (2013), no. 1, 247-283 (journal, arXiv)
  17. A dynamical approach to Maass cusp forms J. Mod. Dyn. 6 (2012), no. 4, 563-596 (journal, arXiv)
  18. Ford fundamental domains in symmetric spaces of rank one, Geom. Dedicata 147 (2010), 219-276 (journal, arXiv)
  19. Symbolic dynamics for the geodesic flow on locally symmetric orbifolds of rank one (with J. Hilgert), Infinite Dimensional Harmonic Analysis IV, World Scientific, 2008 (arXiv)
  20. An upper bound for the period length of a quadratic irrational, Abh. Math. Sem. Univ. Hamburg 77 (2007), 129-136 (journal)
For almost all of my articles one can find preprint versions on the arXiv.

Reports:


Qualification Theses:


Editor: