Jens Marklof's publications
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  1. J. Marklof, Smallest denominators, preprint, arXiv:2310.11251
  2. W. Kim and J. Marklof, Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres, preprint, arXiv:2302.13308
  3. J. Marklof and A. Strömbergsson, Kinetic theory for the low-density Lorentz gas, Memoirs of the American Mathematical Society Volume 294, Number 1464 (2024) DOI: https://doi.org/10.1090/memo/1464
  4. J. Marklof and M. Welsh, Bounds for theta sums in higher rank II, Journal d'Analyse Mathematique 151 (2023) 235-264 (Special issue dedicated to Peter Sarnak)
  5. J. Marklof and M. Welsh, Bounds for theta sums in higher rank I, Journal d'Analyse Mathematique 150 (2023) 325-358
  6. J. Marklof and M. Welsh, Fine-scale distribution of roots of quadratic congruences, Duke Mathematical Journal 172 (2023) 2303-2364
  7. A. Haynes and J. Marklof, A five distance theorem for Kronecker sequences, International Mathematics Research Notices 2022 (2022) 19747-19789
  8. J. Griffin and J. Marklof, Quantum transport in a crystal with short-range interactions: The Boltzmann-Grad limit, Journal of Statistical Physics 184 (2021) no. 16; 46pp
  9. J. Marklof, Delone sets generated by square roots, American Mathematical Monthly 127 (2020) 836-840
  10. J. Marklof, Pair correlation and equidistribution on manifolds, Monatshefte für Mathematik, 191 (2020) 279-294
  11. A. Haynes and J. Marklof, Higher dimensional Steinhaus and Slater problems via homogeneous dynamics, Annales scientifiques de l'Ecole normale superieure 53 (2020) 537-557
  12. J. Griffin and J. Marklof, Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows, Pure and Applied Analysis 1 (2019) 571-614
  13. J. Marklof and N. Yesha, Pair correlation for quadratic polynomials mod 1, Compositio Mathematica 154 (2018) 960-983
  14. M. Lee and J. Marklof, Effective equidistribution of rational points on expanding horospheres, International Mathematics Research Notices 2018 (2018) 6581-6610
  15. J. Marklof and I. Vinogradov, Directions in hyperbolic lattices, Journal für die Reine und Angewandte Mathematik 740 (2018) 161-186
  16. J. Marklof and A. Strömbergsson, The three gap theorem and the space of lattices, American Mathematical Monthly 124 (2017) 741-745
  17. C.P. Dettmann, J. Marklof and A. Strömbergsson, Universal hitting time statistics for integrable flows, Journal of Statistical Physics 166 (2017) 714-749 (Special issue dedicated to D. Ruelle and Ya.G. Sinai)
  18. J. Marklof, Entry and return times for semi-flows, Nonlinearity 30 (2017) 810-824
  19. J. Marklof and I. Vinogradov, Spherical averages in the space of marked lattices, Geometriae Dedicata 186 (2017) 75-102
  20. J. Marklof and B. Toth, Superdiffusion in the periodic Lorentz gas, Communications in Mathematical Physics 347 (2016) 933-981
  21. F. Cellarosi and J. Marklof, Quadratic Weyl sums, automorphic functions, and invariance principles, Proceedings of the London Mathematical Society 113 (2016) 775-828
  22. J. Marklof and A. Strömbergsson, Generalized linear Boltzmann equations for particle transport in polycrystals, Applied Mathematics Research Express 2015, 274-295.
  23. J. Marklof and A. Strömbergsson, Visibility and directions in quasicrystals, International Mathematics Research Notices 2015, 6588-6617 [correction]
  24. D. El-Baz, J. Marklof and I. Vinogradov, The two-point correlation function of the fractional parts of sqrt n is Poisson, Proceedings of the American Mathematical Society 143 (2015) 2815-2828
  25. D. El-Baz, J. Marklof and I. Vinogradov, The distribution of directions in an affine lattice: two-point correlations and mixed moments, International Mathematics Research Notices 2015 (2015) 1371-1400
  26. J. Marklof and A. Strömbergsson, Power-law distributions for the free path length in Lorentz gases, Journal of Statistical Physics 155 (2014) 1072-1086 (Special issue dedicated to Herbert Spohn)
  27. J. Griffin and J. Marklof, Limit theorems for skew translations, Journal of Modern Dynamics 8 (2014) 177-189
  28. J. Marklof and A. Strömbergsson, Free path lengths in quasicrystals, Communications in Mathematical Physics 330 (2014) 723-755 [correction]
  29. J. Marklof and A. Strömbergsson, Gaps between logs, Bulletin of the London Mathematical Society 45 (2013) 1267-1280
  30. E. Demirci Akarsu and J. Marklof, The value distribution of incomplete Gauss sums, Mathematika 59 (2013) 381-398
  31. J. Marklof, Fine-scale statistics for the multidimensional Farey sequence, in: Limit Theorems in Probability, Statistics and Number Theory, Springer Proceedings in Mathematics & Statistics 42, 2013, pp. 49-57 (Festschrift in honour of Friedrich Götze)
  32. H. Guillet de Chatellus, O. Jacquin, O. Hugon, W. Glastre, E. Lacot and J. Marklof, Generation of ultrahigh and tunable repetition rates in CW injection-seeded frequency-shifted feedback lasers, Optics Express 21 (2013) 15065-15074
  33. J. Marklof and A. Strömbergsson, Diameters of random circulant graphs, Combinatorica 33 (2013) 429-466
  34. J. Marklof and Z. Rudnick, Almost all eigenfunctions of a rational polygon are uniformly distributed, Journal of Spectral Theory 2 (2012) 107-113
  35. J. Marklof and A. Strömbergsson, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates, Geometric and Functional Analysis 21 (2011) 560-647
  36. P. Bachurin, K. Khanin, J. Marklof and A. Plakhov, Perfect retroreflectors and billiard dynamics, Journal of Modern Dynamics 5 (2011) 33-48
  37. J. Marklof and A. Strömbergsson, The Boltzmann-Grad limit of the periodic Lorentz gas, Annals of Mathematics 174 (2011) 225-298
  38. J. Marklof, Horospheres and Farey fractions, Contemporary Mathematics 532 (2010) 97-106
  39. J.P. Keating, J. Marklof and B. Winn, Localised eigenfunctions in Seba billiards, Journal of Mathematical Physics 51 (2010) 062101 (19 pages)
  40. J. Marklof, The asymptotic distribution of Frobenius numbers, Inventiones Mathematicae 181 (2010) 179-207
  41. 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
  42. J. Marklof and A. Strömbergsson, Kinetic transport in the two-dimensional periodic Lorentz gas, Nonlinearity 21 (2008) 1413-1422
  43. J. Keating, J. Marklof and I. Williams, Nodal domain statistics for quantum chaotic maps, New Journal of Physics 10 (2008) 083023 (31pp)
  44. J. Marklof, Y. Tourigny and L. Wolowski, Explicit invariant measures for products of random matrices, Transactions of the AMS 360 (2008) 3391-3427
  45. 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
  46. J. Marklof, Spectral theta series of operators with periodic bicharacteristic flow, Annales de l'Institut Fourier 57 (2007) 2401-2427 (Special issue dedicated to Yves Colin de Verdiere)
  47. K. Khanin, J. Lopes Dias and J. Marklof, Multidimensional continued fractions, dynamical renormalization and KAM theory, Communications in Mathematical Physics 270 (2007) 197-231
  48. 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)
  49. K. Khanin, J. Lopes Dias and J. Marklof, Renormalization of multidimensional Hamiltonian flows, Nonlinearity 19 (2006) 2727-2753
  50. J. Marklof, Quantum leaks, Communications in Mathematical Physics 264 (2006) 303-316
  51. 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
  52. D. Kutasov, J. Marklof and G.W. Moore, Melvin models and diophantine approximation, Communications in Mathematical Physics 256 (2005) 491-511
  53. J. Marklof, Mean square value of exponential sums related to the representation of integers as sums of squares, Acta Arithmetica 117 (2005) 353-370
  54. 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
  55. O. Giraud, J. Marklof and S. O'Keefe, Intermediate statistics in quantum maps, Journal of Physics A 37 (2004) L303-L311
  56. J. Marklof, Holomorphic almost modular forms, Bulletin of the London Mathematical Society 36 (2004) 647-655
  57. J. Marklof and A. Strömbergsson, Equidistribution of Kronecker sequences along closed horocycles, Geometric and Functional Analysis 13 (2003) 1239-1280
  58. 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
  59. J. Marklof, Almost modular functions and the distribution of n²x modulo one, International Mathematics Research Notices 39 (2003) 2131-2151
  60. J. Marklof, Pair correlation densities of inhomogeneous quadratic forms, Annals of Mathematics 158 (2003) 419-471
  61. J. Marklof, Pair correlation densities of inhomogeneous quadratic forms II, Duke Mathematical Journal 115 (2002) 409-434, Correction, ibid. 120 (2003) 227-228
  62. S. Keppeler, J. Marklof and F. Mezzadri, Quantum cat maps with spin 1/2, Nonlinearity 14 (2001) 719-738
  63. J. Marklof and Z. Rudnick, Quantum unique ergodicity for parabolic maps, Geometric and Functional Analysis 10 (2000) 1554-1578
  64. 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
  65. 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
  66. J. Marklof, Limit theorems for theta sums, Duke Mathematical Journal 97 (1999) 127-153
  67. J. Marklof, Spectral form factors of rectangle billiards, Communications in Mathematical Physics 199 (1998) 169-202
  68. 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
  69. 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
  70. J. Marklof, On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds, Nonlinearity 9 (1996) 517-536