Jens Marklof

Q: What Schools Are Affiliated With Jens Marklof

Jens Marklof is affiliated with the following schools: University of Ulm, University of Bristol, University of Hamburg

Jens Marklof's AcademicInfluence.com Rankings

Jens Marklof

Mathematics

#2433

World Rank

#3761

Historical Rank

Number Theory

#121

World Rank

#160

Historical Rank

Measure Theory

#3917

World Rank

#4617

Historical Rank

mathematics Degrees

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Mathematics

Why Is Jens Marklof Influential?

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According to Wikipedia, Jens Marklof FRS is a German mathematician working in the areas of quantum chaos, dynamical systems, equidistribution, modular forms and number theory. He will be president of the London Mathematical Society in the period 2023-2024.

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Jens Marklof's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Arithmetic Quantum Chaos (2006) (171)
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems (2007) (161)
Pair correlation densities of inhomogeneous quadratic forms (2002) (91)
The Boltzmann-Grad limit of the periodic Lorentz gas (2008) (88)
The asymptotic distribution of Frobenius numbers (2009) (75)
Multidimensional Continued Fractions, Dynamical Renormalization and KAM Theory (2005) (55)
Weyl's law and quantum ergodicity for maps with divided phase space (2004) (54)
The Periodic Lorentz Gas in The Boltzmann–Grad Limit: Asymptotic Estimates (2010) (54)
Quantum unique ergodicity for parabolic maps (1999) (53)
Unipotent flows on the space of branched covers of Veech surfaces (2004) (50)
Limit theorems for theta sums (1999) (49)
DISTRIBUTION MODULO ONE AND RATNER’S THEOREM (2006) (48)
Equidistribution of Kronecker sequences along closed horocycles (2002) (47)
Free Path Lengths in Quasicrystals (2013) (47)
The $\bm{n}$-point correlations between values of a linear form (2000) (47)
The Berry-Tabor Conjecture (2001) (47)
Kinetic transport in the two-dimensional periodic Lorentz gas (2008) (44)
THE TWO-POINT CORRELATION FUNCTION OF THE FRACTIONAL PARTS OF √ n IS POISSON (2014) (43)
Value Distribution of the Eigenfunctions and Spectral Determinants of Quantum Star Graphs (2002) (43)
Generation of ultrahigh and tunable repetition rates in CW injection-seeded frequency-shifted feedback lasers. (2013) (40)
Spectral Form Factors of Rectangle Billiards (1998) (36)
Almost all eigenfunctions of a rational polygon are uniformly distributed (2011) (36)
The distribution of directions in an affine lattice: two-point correlations and mixed moments (2013) (35)
Explicit invariant measures for products of random matrices (2005) (35)
Pair correlation densities of inhomogeneous quadratic forms, II (2002) (34)
Diameters of random circulant graphs (2011) (33)
Selberg's trace formula: an introduction (2004) (29)
Nodal domain statistics for quantum maps, percolation, and stochastic Loewner evolution. (2006) (29)
Frontiers in Number Theory, Physics and Geometry I: On Random Matrices, Zeta Functions, and Dynamical Systems (2006) (28)
Superdiffusion in the Periodic Lorentz Gas (2014) (27)
Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology: Selberg's Trace Formula: An Introduction (2004) (26)
Encyclopedia of Mathematical Physics, Vol 1 (2004) (25)
Renormalization of multidimensional Hamiltonian flows (2006) (23)
The Three Gap Theorem and the Space of Lattices (2016) (23)
Theta Sums, Eisenstein Series, and the Semiclassical Dynamics of a Precessing Spin (1999) (22)
Perfect Retroreflectors and Billiard Dynamics (2009) (22)
Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard (1996) (22)
Fine-Scale Statistics for the Multidimensional Farey Sequence (2012) (21)
Intermediate statistics in quantum maps (2004) (19)
Almost modular functions and the distribution of n2x modulo one (2003) (19)
Random matrices and quantum chaos (2001) (19)
The two-point correlation function of the fractional parts of $\sqrt{n}$ is Poisson (2013) (19)
Quadratic Weyl sums, automorphic functions and invariance principles (2015) (18)
Visibility and directions in quasicrystals (2014) (18)
Power-Law Distributions for the Free Path Length in Lorentz Gases (2013) (17)
Directions in hyperbolic lattices (2014) (17)
The low-density limit of the Lorentz gas: periodic, aperiodic and random (2014) (16)
On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds (1995) (16)
Pair correlation and equidistribution on manifolds (2019) (15)
Kinetic transport in crystals (2009) (15)
Localized eigenfunctions in Šeba billiards (2009) (14)
Melvin Models and Diophantine Approximation (2004) (14)
Energy level statistics, lattice point problems, and almost modular functions (2006) (14)
Mean square value of exponential sums related to the representation of integers as sums of squares (2005) (13)
Limit Theorems for Theta Sums with Applications in Quantum Mechanics (1997) (13)
Higher dimensional Steinhaus and Slater problems via homogeneous dynamics (2017) (13)
Gaps between logs (2013) (13)
Effective equidistribution of rational points on expanding horospheres (2016) (12)
The value distribution of incomplete Gauss sums (2012) (11)
Limit theorems for skew translations (2014) (11)
Quantum cat maps with spin (2000) (9)
Generalized Linear Boltzmann Equations for Particle Transport in Polycrystals (2015) (9)
Spectral theta series of operators with periodic bicharacteristic flow (2007) (8)
Entry and return times for semi-flows (2016) (8)
Pair correlation for quadratic polynomials mod 1 (2017) (8)
Horospheres and Farey fractions (2010) (8)
Universal Hitting Time Statistics for Integrable Flows (2016) (8)
Kinetic limits of dynamical systems (2014) (7)
Kinetic Theory for the Low-Density Lorentz Gas. (2019) (5)
A five distance theorem for Kronecker sequences. (2020) (5)
Nodal domain statistics for quantum chaotic maps (2008) (4)
Level spacing statistics and integrable dynamics (2001) (4)
Delone Sets Generated by Square Roots (2020) (4)
The Berry-Tabor conjecture (Proceedings of the 3rd European Congress of Mathematics, Barcelona 2000) (2001) (3)
Correction to: Free Path Lengths in Quasicrystals (2020) (3)
Quantum Leaks (2005) (3)
Horospheres, Farey fractions and Frobenius numbers (2010) (3)
Spherical averages in the space of marked lattices (2016) (3)
Quantum Transport in a Crystal with Short-Range Interactions: The Boltzmann–Grad Limit (2020) (2)
Holomorphic Almost Modular Forms (2003) (2)
Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows (2018) (2)
An introduction (Selberg's trace formula) (2012) (2)
Fine-scale distribution of roots of quadratic congruences (2021) (1)
Improved power law potentials for highway traffic flow (2008) (1)
Pair correlation and equidistribution on manifolds (2019) (0)
Erratum to “Visibility and Directions in Quasicrystals” (2020) (0)
Free Path Lengths in Quasicrystals (2014) (0)
Progress in Mathematics (2001) (0)
Invariance principle for the periodic Lorentz gas in the Boltzmann-Grad limit (2015) (0)
Padé approximants of random Stieltjes series (2007) (0)
Universal Hitting Time Statistics for Integrable Flows (2016) (0)
Power-Law Distributions for the Free Path Length in Lorentz Gases (2014) (0)
Superdiffusion in the Periodic Lorentz Gas (2016) (0)
Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres (2023) (0)
Diameters of random circulant graphs (2013) (0)
Emerging Applications of Number Theory (1999) (0)
Correction to: Free Path Lengths in Quasicrystals (2020) (0)
Bounds for theta sums in higher rank. I (2021) (0)
Spherical averages in the space of marked lattices (2016) (0)

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What Schools Are Affiliated With Jens Marklof?

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Jens Marklof's Academic­Influence.com Rankings

Why Is Jens Marklof Influential?

Jens Marklof's Published Works

Published Works

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What Schools Are Affiliated With Jens Marklof?

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Jens Marklof's AcademicInfluence.com Rankings