tilings by abelian group actions (with J. Grebik, V. Rozhon, T.
energies on discrete cubes (with J. de Dios, P. Ivanisvili, J.
Collatz maps with almost bounded orbits (with F. Gonçalves, J.
- Undecidable translational
tilings with only two tiles, or one nonabelian tile
(with T. Tao), submitted.
- An uncountable ergodic Roth
theorem and applications (with P. Durcik, A. Iseli, A.
Jamneshan, J. Madrid), submitted.
for fractal subsets of the parabola (with A. Chang, J. de Dios,
A. Jamneshan, Z. Li, J. Madrid), Mathematische Zeitschrift. [arXiv]
structure of translational tilings in ℤᵈ (with T. Tao) Discrete
Analysis (2021):16, 28 pp.
of product domains and Fuglede's conjecture for convex polytopes
(with N. Lev) Journal d'Analyse Mathematique, 140 (2020) 409-441. [arXiv]
spectral set conjecture for convex polytopes (with N. Lev)
Analysis & PDE, 10 (2017), 1497-1538. [arXiv]
and tiling by cylindric domains (with N. Lev) Journal of
Functional Analysis, 271 (2016), 2808-2821. [arXiv]