Publications of Jouni Parkkonen
Monograph
- (with Anne Broise-Alamichel and
Frédéric Paulin)
Equidistribution and counting under equilibrium states in negative curvature and trees. Applications to non-Archimedean
Diophantine approximation,
Progress in Mathematics 329, Birkhäuser, 2019.
Preprints
- (with
Frédéric Paulin)
Equidistribution of common perpendiculars in negative curvature
- (with
Frédéric Paulin)
Divergent geodesics, ambiguous closed geodesics and the binary additive divisor problem.
Articles
- (with
Frédéric Paulin)
Pair correlations of logarithms of complex lattice points,
Research in Number Theory 10:24 (2024).
- (with
Frédéric Paulin)
Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields,
Archiv der Mathematik 122(2024), 415-428.
- (with
Frédéric Paulin)
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees,
Ergodic Theory and Dynamical Systems 44(2024), 2700-2736.
-
(with Lauri Kettunen, Sanna Mönkölä and Tuomo Rossi)
Systematic Imposition of Partial Differential Equations in Boundary Value Problems in Impact of Scientific Computing on Science and Society, Computational Methods in Applied Sciences 58, Springer, 2023, pages 25-44.
- (with
Frédéric Paulin)
From exponential counting to pair correlations,
Bull. Soc. Math. France 151(2023), 171-193.
- (with
Frédéric Paulin)
On the statistics of pairs of logarithms of integers
(with an appendix by Etienne Fouvry),
Moscow Journal of Combinatorics and Number Theory 11(2022), 335-372.
- (with
Frédéric Paulin)
Counting and equidistribution in quaternionic Heisenberg groups, Math. Proc. Camb. Phil. Soc 173(2022), 67-104.
- (with
Frédéric Paulin)
Rigidity, counting and equidistribution of quaternionic Cartan chains,
Ann. Math. Blaise Pascal 28(2021), 45-69.
- (with Anne Broise-Alamichel and
Frédéric Paulin)
Rate of mixing for equilibrium states in negative curvature and trees
in Thermodynamic Formalism, CIRM Jean-Morlet Chair Subseries, Lecture Notes in Mathematics 2290, Springer, 2021, pages 291-315.
- (with
Frédéric Paulin)
Integral binary Hamiltonian forms and their waterworlds,
Conformal Geometry and Dynamics 25 (2021), 126-169.
- (with
Frédéric Paulin)
On the nonarchimedean quadratic Lagrange spectra,
Math. Z. 294 (2020), 1065-1084.
- (with
Frédéric Paulin)
A classification of $\mathbb R$-Fuchsian subgroups of Picard modular groups, Confluentes Mathematici 10 (2018), 75-92.
- (with
Frédéric Paulin)
A classification of $\mathbb C$-Fuchsian subgroups of Picard modular groups, Mathematica Scandinavica 121 (2017) 57-74.
- (with
Frédéric Paulin)
A survey of some arithmetic applications of ergodic theory in negative curvature, in Ergodic theory and negative curvature, CIRM Jean-Morlet Chair Subseries, Lecture Notes in Mathematics 2164, Springer, 2017, pages 293-326.
- (with
Frédéric Paulin)
Counting common perpendicular arcs in negative curvature, Ergodic Theory and Dynamical Systems 37 (2017) 900-938.
- (with
Frédéric Paulin)
Counting and equidistribution in Heisenberg groups, Mathematische Annalen 367 (2017) 81-119.
- (avec Anne Broise-Alamichel et
Frédéric Paulin)
Equidistribution non-archimédienne et actions de groupes sur les arbres, C. R. Math. Acad. Sci. Paris, Ser. I 354 (2016) 971-975.
- (with
Frédéric Paulin)
Counting arcs in negative curvature, in
Geometry, Topology, and Dynamics in Negative Curvature, LMS Lecture Notes 426, 2016, 289-344.
- (with
Frédéric Paulin)
On the hyperbolic orbital counting problem in conjugacy classes, Math. Z. 279 (2015) 1175-1196.
- (with
Frédéric Paulin)
Dentelles et flocons de neige arithmétiques, Images des Mathématiques, CNRS (2015).
- (with
Frédéric Paulin)
On the arithmetic of crossratios and generalised Mertens' formulas, ``Aux croisements de la géométrie
hyperbolique et l'arithmétique'' Ann. Fac. Sci. Toulouse Vol. XXIII (2014) 967-1022.
- (with
Frédéric Paulin)
Skinning measures in negative curvature and equidistribution of
equidistant submanifolds,
Ergodic Theory and Dynamical Systems 34(2014) 1310-1342.
- (with
Frédéric Paulin)
On the arithmetic and geometry of binary Hamiltonian forms
(with an appendix by Vincent
Emery), Algebra
& Number Theory 7-1 (2013) 75-115.
- (with
Frédéric Paulin)
On strictly convex subsets in negatively curved manifolds,
J. Geom. Anal. 22(2012), 621-632.
- (avec
Frédéric Paulin)
Équidistribution, comptage et approximation par
irrationnels quadratiques, J.
Mod. Dyn. 6(2012), 1-40.
- (with
Frédéric Paulin)
On the representation of integers by
indefinite binary Hermitian forms, Bull. London Math. Soc. 43(2011), 1048-1058.
- (with
Frédéric Paulin)
Spiraling spectra of geodesic lines in negatively
curved manifolds, Math. Z. 268 (2011), 101-142. (Erratum Math. Z. 276 (2014), 1215-1216)
- (with
Frédéric Paulin)
Prescribing the behaviour of geodesics in negative
curvature, Geometry & Topology 14 (2010) 277-392
- (with
Frédéric Paulin)
Equidistribution, counting and arithmetic
applications, Oberwolfach Reports 7 (2010), 1737-1739.
- (with
Frédéric Paulin)
On the closedness of approximation spectra,
Journal de théorie des nombres de Bordeaux
21 (2009) 701-710.
- (with Vesa Ruuska)
Finite
degree
branched covers of compact Riemann surfaces,
Acta Mathematica Sinica 23 (2007) 89-94.
- (with
Yohei Komori)
On the shape of Bers-Maskit slices, Ann. Acad. Sci. Fenn. 32 (2007) 179-198.
- (avec
Frédéric Paulin)
Sur les rayons de Hall en approximation diophantienne,
C. R. Math. Acad. Sci. Paris Ser. I 344 (2007) 611-614.
- (with
Frédéric Paulin)
Unclouding the sky of negatively curved manifolds,
Geom. Funct. Anal. 15 (2005) 491-533
-
Geometric limits of cyclic
groups and the shape of Schottky space,
Math. Proc. Cambridge
Philos. Soc. 137 (2004) 55-68.
-
Conformal Dehn surgery and the
shape of Maskit's embedding,
Conformal Geometry and Dynamics 8 (2004), 143-157.
- (with
Frédéric Paulin) Diophantine
Approximation on Hyperbolic Surfaces, in
``Rigidity, geometry and number theory
(Cambridge, 2000)'', M. Burger, A. Iozzi eds,
Springer Verlag, 2002.
-
The outside of the Teichmüller space of
punctured tori in Maskit's
embedding.
Ann. Acad. Sci. Fenn. Math. 24
(1999) 305-342. A slightly expanded
version can be found here
- (with
John R. Parker)
Coordinates for
quasi-Fuchsian punctured torus spaces. The
Epstein birthday schrift,
Geom. Topol. Monogr. 1, 451-478, 1998.
- Geometric complex analytic coordinates for
deformation spaces of Koebe
groups. Ann. Acad. Sci. Fenn. Math. Diss. No. 102
(1995).
Popularisation
Illustrations
Some limit sets and deformation spaces of Koebe groups
can be found here.