# Jon Chaika

Jon Chaika
University of Utah
Department of Mathematics, 203
155 S 1400 E RM 233
Salt Lake City, UT, 84112-0090
USA
Email: chaika at math dot utah dot edu

_____________________________________________________________________________
My papers on the arxiv
Summary of my papers

#### Papers

Ergodicity of skew products over linearly recurrent IETs (with D. Robertson) (accepted Journal of the London Mathematical Society)
A smooth mixing flow on a surface with non-degenerate fixed points (with A. Wright) (Journal of the AMS 2019)
Stationary coalescing walks on the lattice (with A. Krishnan) (accepted Probability Theory and Related Fields)
Quantitative shrinking target properties for rotations, and interval exchanges (with D. Constantine) (accepted Israel Journal of Mathematics)
Mobius disjointness for interval exchange transformations on three intervals (with A. Eskin) (accepted Journal of Modern Dynamics)
Circle averages and disjointness in typical flat surfaces on every Teichmuller disc (with P. Hubert) (Bulletin of the London Mathematical Society 2017)
Logarithmic laws and unique ergodicity (with R. Treviño) (Journal of Modern Dynamics 2017)
Limits in PMF of Teichmuller geodesics (with H. Masur and M. Wolf) (accepted Crelle's Journal)
A dichotomy for arithmetic progressions in subsets of reals (with M. Boshernitzan) (Proceedings of the AMS 2016)
Appendix C of Right-angled billiards and volumes of moduli spaces of quadratic differentials on \$\mathbb{C}P^1\$ (paper by J. Athreya, A. Eskin and A. Zorich) (accepted Annales scientifiques de l'ENS)
The Hausdorff dimension of nonuinquely ergodic directions in H(2) is almost everywhere 1/2 (with J. Athreya) (Geometry and Topology 2015)
Every flat surface is Birkhoff and Osceledets generic in almost every direction (with A. Eskin) (Journal of Modern Dynamics 2015)
There exists an interval exchange with a non-ergodic generic measure (with H. Masur) (Journal of Modern Dynamics 2015)
Topological mixing for some residual sets of interval exchange transformations (with J. Fickenscher) (Communications in Mathematical Physics 2015)
The gap distribution of slopes on the golden L. (with J. Athreya and S. Lelievre) (Contemporary Mathematics 2015)
Omega recurrence in cocycles (with D. Ralston) (Ergodic Theory and Dynamical Systems 2014)
Every transformation is disjoint from almost every non-classical exchange (with V. Gadre) (Geometriae Dedicata 2014)
Skew products over rotations with exotic properties (Geometriae Dedicata 2014)
Diophantine properties of IETs and general systems: Quantitative proximality and connectivity (with M. Boshernitzan) (Inventiones mathematicae 2013)
Winning games for bounded geodesics in Teichmueller discs (with Y. Cheung and H. Masur) (Journal of Modern Dynamics 2013)
Every transformation is disjoint from almost every IET (Annals of Mathematics 2012)
Borel-Cantelli Sequences (with M. Boshernitzan) (Journal d'Analyse Mathematique 2012)
The distribution of gaps for saddle connection directions (with J. Athreya) (Geometric and Functional Analysis 2012)
There exists a topologically mixing IET (Ergodic Theory and Dynamical Systems 2012)
Shrinking targets for IETs (Geometric and Functional Analysis 2011)
Schrödinger operators defined by interval exchange transformations (with D. Damanik and H. Krüger) (Journal of Modern Dynamics April 2009)
Hausdorff dimension for ergodic measures of interval exchange transformations (Journal of Modern Dynamics July 2008)
The set of uniquely ergodic IETs is path connected (with S. Hensel) (accepted Ergodic Theory and Dynamical Systems)
The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2 (with H. Masur) (submitted)
Uniform distribution of saddle connection lengths (with D. Robertson) (submitted)
Self-Joinings for 3-IETs (with A. Eskin) (submitted)
Ergodic homogeneous multidimensional continued fraction algorithms (with A. Nogueira)
On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations
The densest sequence in the unit circle (with M. Boshernitzan)
On the Frequency of Balanced Times in Cylinder Flows (with D. Ralston)
[0,1] is not a Minimality Detector for [0,1]^2
A theorem on accepted elasticity in certain local arithmetical congruence monoids (with M. Banister, S. Chapman and W. Meyerson) ( Abh. Math. Semin. Univ. Hambg. 2009)
On a result of James and Niven concerning unique factorization in congruence semigroups (with M. Banister, S. Chapman and W. Meyerson) (Elem. Math. 62 2007)
On the arithmetic of arithmetical congruence monoids (with M. Banister, S. Chapman and W. Meyerson) ( Colloq. Math. 2007)
On the Minkowski Diagonal Function for two real numbers. (with I. Kan and N. Moshchevitin) (Diophantine analysis and related fields 2011)

Notes for my current course

Im an organizer for an MRC program at snowbird in 2017
Max Dehn Seminar
Stochastics seminar
Wasatch topology conference
Evelyn Lamb

A mathcircle I wrote on happy numbers and some thoughts.

Some things for visitors to Salt Lake City
Some restaurants, coffee shops and sights
Some hikes
I gratefully acknowledge the support of the NSF, the Alfred P. Sloan Foundation and the Warnock fund. The views expressed here are of course my own.