Jens Marklof's publications
- J. Marklof, Smallest denominators, preprint, arXiv:2310.11251
- 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
- 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
- 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)
- J. Marklof and M. Welsh, Bounds for theta sums in higher rank I, Journal d'Analyse Mathematique 150 (2023) 325-358
- J. Marklof and M. Welsh, Fine-scale distribution of roots of quadratic congruences, Duke Mathematical Journal 172 (2023) 2303-2364
- A. Haynes and J. Marklof, A five distance theorem for Kronecker sequences, International Mathematics Research Notices 2022 (2022) 19747-19789
- 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
- J. Marklof, Delone sets generated by square roots, American Mathematical Monthly 127 (2020) 836-840
- J. Marklof, Pair correlation and equidistribution on manifolds, Monatshefte für Mathematik, 191 (2020) 279-294
- 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
- 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
- J. Marklof and N. Yesha, Pair correlation for quadratic polynomials mod 1, Compositio Mathematica 154 (2018) 960-983
- M. Lee and J. Marklof, Effective equidistribution of rational points on expanding horospheres, International Mathematics Research Notices 2018 (2018) 6581-6610
- J. Marklof and I. Vinogradov, Directions in hyperbolic lattices, Journal für die Reine und Angewandte Mathematik 740 (2018) 161-186
- J. Marklof and A. Strömbergsson, The three gap theorem and the space of lattices, American Mathematical Monthly 124 (2017) 741-745
- 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)
- J. Marklof, Entry and return times for semi-flows, Nonlinearity 30 (2017) 810-824
- J. Marklof and I. Vinogradov, Spherical averages in the space of marked lattices, Geometriae Dedicata 186 (2017) 75-102
- J. Marklof and B. Toth, Superdiffusion in the periodic Lorentz gas, Communications in Mathematical Physics 347 (2016) 933-981
- F. Cellarosi and J. Marklof, Quadratic Weyl sums, automorphic functions, and invariance principles, Proceedings of the London Mathematical Society 113 (2016) 775-828
- J. Marklof and A. Strömbergsson, Generalized linear Boltzmann equations for particle transport in polycrystals, Applied Mathematics Research Express 2015, 274-295.
- J. Marklof and A. Strömbergsson, Visibility and directions in quasicrystals, International Mathematics Research Notices 2015, 6588-6617 [correction]
- 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
- 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
- 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)
- J. Griffin and J. Marklof, Limit theorems for skew translations, Journal of Modern Dynamics 8 (2014) 177-189
- J. Marklof and A. Strömbergsson, Free path lengths in quasicrystals, Communications in Mathematical Physics 330 (2014) 723-755 [correction]
- J. Marklof and A. Strömbergsson, Gaps between logs, Bulletin of the London Mathematical Society 45 (2013) 1267-1280
- E. Demirci Akarsu and J. Marklof, The value distribution of incomplete Gauss sums, Mathematika 59 (2013) 381-398
- 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)
- 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
- J. Marklof and A. Strömbergsson, Diameters of random circulant graphs, Combinatorica
33 (2013) 429-466
- J. Marklof and Z. Rudnick, Almost all eigenfunctions of a rational polygon are uniformly distributed, Journal of Spectral Theory 2 (2012) 107-113
- J. Marklof and A. Strömbergsson, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates, Geometric and Functional Analysis 21 (2011) 560-647
- P. Bachurin, K. Khanin, J. Marklof and A. Plakhov, Perfect retroreflectors and billiard dynamics, Journal of Modern Dynamics 5 (2011) 33-48
- J. Marklof and A. Strömbergsson, The Boltzmann-Grad limit of the periodic Lorentz gas, Annals of Mathematics 174 (2011) 225-298
- J. Marklof, Horospheres and Farey fractions, Contemporary Mathematics 532 (2010) 97-106
- J.P. Keating, J. Marklof and B. Winn, Localised eigenfunctions in Seba billiards, Journal of Mathematical Physics 51 (2010) 062101 (19 pages)
- J. Marklof, The asymptotic distribution of Frobenius numbers, Inventiones Mathematicae 181 (2010) 179-207
- 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
- J. Marklof and A. Strömbergsson, Kinetic transport in the two-dimensional periodic Lorentz gas, Nonlinearity 21 (2008) 1413-1422
- J. Keating, J. Marklof and I. Williams, Nodal domain statistics for quantum chaotic maps, New Journal of Physics 10 (2008) 083023 (31pp)
- J. Marklof, Y. Tourigny and L. Wolowski, Explicit invariant measures for products of random matrices, Transactions of the AMS 360 (2008) 3391-3427
- 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
- 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)
- K. Khanin, J. Lopes Dias and J. Marklof, Multidimensional continued fractions, dynamical renormalization and KAM theory, Communications in Mathematical Physics 270 (2007) 197-231
- 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)
- K. Khanin, J. Lopes Dias and J. Marklof, Renormalization of multidimensional Hamiltonian flows, Nonlinearity 19 (2006) 2727-2753
- J. Marklof, Quantum leaks, Communications in Mathematical Physics 264 (2006) 303-316
- 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
- D. Kutasov, J. Marklof and G.W. Moore,
Melvin models and diophantine approximation,
Communications in Mathematical Physics 256 (2005) 491-511
- J. Marklof,
Mean square value of exponential sums related to the representation
of integers as sums of squares, Acta Arithmetica 117 (2005) 353-370
- 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
- O. Giraud, J. Marklof and S. O'Keefe,
Intermediate statistics in quantum maps,
Journal of Physics A
37 (2004) L303-L311
- J. Marklof,
Holomorphic almost modular forms,
Bulletin of the London Mathematical Society
36 (2004) 647-655
- J. Marklof and A. Strömbergsson,
Equidistribution of Kronecker sequences
along closed horocycles, Geometric and
Functional Analysis 13 (2003) 1239-1280
- 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
- J. Marklof,
Almost modular functions and the distribution of
n²x modulo one,
International Mathematics Research Notices
39 (2003) 2131-2151
- J. Marklof,
Pair correlation
densities of inhomogeneous quadratic forms,
Annals of Mathematics 158 (2003) 419-471
- J. Marklof,
Pair correlation densities of
inhomogeneous quadratic forms II,
Duke Mathematical Journal 115 (2002) 409-434,
Correction,
ibid. 120 (2003) 227-228
- S. Keppeler, J. Marklof and F. Mezzadri,
Quantum cat maps with spin 1/2,
Nonlinearity 14 (2001) 719-738
- J. Marklof and Z. Rudnick,
Quantum unique ergodicity for parabolic maps,
Geometric and Functional Analysis 10
(2000) 1554-1578
- 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
- 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
- J. Marklof, Limit theorems for theta sums,
Duke Mathematical Journal 97
(1999) 127-153
- J. Marklof,
Spectral form factors of rectangle billiards,
Communications in Mathematical Physics 199
(1998) 169-202
- 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
- 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
- J. Marklof,
On multiplicities in length spectra of arithmetic
hyperbolic three-orbifolds,
Nonlinearity 9 (1996) 517-536