Jens Marklof's publications
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  1. E. Demirci Akarsu and J. Marklof, The value distribution of incomplete Gauss sums, arXiv:1207.1607
  2. J. Marklof, Fine-scale statistics for the multidimensional Farey sequence, arXiv:1207.0954
  3. J. Marklof and Z. Rudnick, Almost all eigenfunctions of a rational polygon are uniformly distributed, Journal of Spectral Theory 2 (2012) 107-113.
  4. J. Marklof and A. Strömbergsson, Diameters of random circulant graphs, preprint 2011.
  5. J. Marklof and A. Strömbergsson, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates, GAFA Geometric and Functional Analysis 21 (2011) 560-647
  6. J. Marklof, Horospheres and Farey fractions, Contemporary Mathematics 532 (2010) 97-106
  7. P. Bachurin, K. Khanin, J. Marklof and A. Plakhov, Perfect retroreflectors and billiard dynamics, Journal of Modern Dynamics 5 (2011) 33-48
  8. J.P. Keating, J. Marklof and B. Winn, Localised eigenfunctions in Seba billiards, Journal of Mathematical Physics 51 (2010) 062101 (19 pages)
  9. J. Marklof, The asymptotic distribution of Frobenius numbers, Inventiones Mathematicae 181 (2010) 179-207
  10. J. Marklof and A. Strömbergsson, The Boltzmann-Grad limit of the periodic Lorentz gas, Annals of Mathematics 174 (2011) 225-298
  11. J. Marklof and A. Strömbergsson, The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems, Annals of Mathematics 172 (2010) 1949–2033
  12. J. Marklof and A. Strömbergsson, Kinetic transport in the two-dimensional periodic Lorentz gas, Nonlinearity 21 (2008) 1413-1422
  13. J. Keating, J. Marklof and I. Williams, Nodal domain statistics for quantum chaotic maps, New Journal of Physics 10 (2008) 083023 (31pp)
  14. J. Marklof, Y. Tourigny and L. Wolowski, Pade approximants of random Stieltjes series, Proceedings of the Royal Society A 463 (2007) 2813-2832, electronic supplement
  15. J. Marklof, Spectral theta series of operators with periodic bicharacteristic flow, Annales de l'Institut Fourier 57 (2007) 2401-2427, Colin de Verdiere Special Issue
  16. J. Marklof, Y. Tourigny and L. Wolowski, Explicit invariant measures for products of random matrices, Transactions of the AMS 360 (2008) 3391-3427
  17. K. Khanin, J. Lopes Dias and J. Marklof, Multidimensional continued fractions, dynamical renormalization and KAM theory, Communications in Mathematical Physics 270 (2007) 197-231
  18. J. Keating, J. Marklof and I. Williams, Nodal domain statistics for quantum maps, percolation and stochastic Loewner evolution, Physical Review Letters 97 (2006) 034101 (4pp)
  19. K. Khanin, J. Lopes Dias and J. Marklof, Renormalization of multidimensional Hamiltonian flows, Nonlinearity 19 (2006) 2727-2753
  20. J. Marklof, Quantum leaks, Communications in Mathematical Physics 264 (2006) 303-316
  21. A. Eskin, J. Marklof and D. Witte Morris, Unipotent flows on the space of branched covers of Veech surfaces, Ergodic Theory and Dynamical Systems 26 (2006) 129-162
  22. D. Kutasov, J. Marklof and G.W. Moore, Melvin models and diophantine approximation, Communications in Mathematical Physics 256 (2005) 491-511
  23. J. Marklof, Mean square value of exponential sums related to the representation of integers as sums of squares, Acta Arithmetica 117 (2005) 353-370
  24. J. Marklof and S. O'Keefe, Weyl's law and quantum ergodicity for maps with divided phase space, with an appendix by S. Zelditch, Nonlinearity 18 (2005) 277-304
  25. O. Giraud, J. Marklof and S. O'Keefe, Intermediate statistics in quantum maps, Journal of Physics A 37 (2004) L303-L311
  26. J. Marklof, Holomorphic almost modular forms, Bulletin of the London Mathematical Society 36 (2004) 647-655
  27. J. Marklof and A. Strömbergsson, Equidistribution of Kronecker sequences along closed horocycles, GAFA Geometric and Functional Analysis 13 (2003) 1239-1280
  28. J.P. Keating, J. Marklof and B. Winn, Value distribution of the eigenfunctions and spectral determinants of quantum star graphs, Communications in Mathematical Physics 241 (2003) 421-452
  29. J. Marklof, Almost modular functions and the distribution of n²x modulo one, IMRN International Mathematics Research Notices 39 (2003) 2131-2151
  30. J. Marklof, Pair correlation densities of inhomogeneous quadratic forms, Annals of Mathematics 158 (2003) 419-471
  31. J. Marklof, Pair correlation densities of inhomogeneous quadratic forms II, Duke Mathematical Journal 115 (2002) 409-434, Correction, ibid. 120 (2003) 227-228
  32. S. Keppeler, J. Marklof and F. Mezzadri, Quantum cat maps with spin 1/2, Nonlinearity 14 (2001) 719-738
  33. J. Marklof and Z. Rudnick, Quantum unique ergodicity for parabolic maps, GAFA Geometric and Functional Analysis 10 (2000) 1554-1578
  34. J. Marklof, The n-point correlations between values of a linear form, with an appendix by Z. Rudnick, Ergodic Theory and Dynamical Systems 20 (2000) 1127-1172
  35. J. Marklof, Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin, in: D. Hejhal, J. Friedman, M. Gutzwiller and A. Odlyzko (eds.), Emerging Applications of Number Theory, IMA Volumes in Mathematics and its Applications, Volume 109 (Springer, New York, 1999) pp. 405-450
  36. J. Marklof, Limit theorems for theta sums, Duke Mathematical Journal 97 (1999) 127-153
  37. J. Marklof, Spectral form factors of rectangle billiards, Communications in Mathematical Physics 199 (1998) 169-202
  38. P. Stifter, C. Leichtle, W.P. Schleich and J. Marklof, Das Teilchen im Kasten: Strukturen in der Wahrscheinlichkeitsdichte, Zeitschrift für Naturforschung 52 a (1997) 377-385
  39. R. Aurich and J. Marklof, Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard, Physica D 92 (1996) 101-129
  40. J. Marklof, On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds, Nonlinearity 9 (1996) 517-536