4 papers
The Ordered Zeckendorf Game
Ivan Bortnovskyi, Michael Lucas, Steven J. Miller +3
We introduce and analyze the ordered Zeckendorf game, a novel combinatorial two-player game inspired by Zeckendorf's Theorem, which guarantees a unique decomposition of every posit…
Signal recovery using Gabor frames
Ivan Bortnovskyi, June Duvivier, Xiaoyao Huang +9
We present a novel probabilistic framework for the recovery of discrete signals with missing data, extending classical Fourier-based methods. While prior results, such as those of…
Refined additive uncertainty principle
Ivan Bortnovskyi, June Duvivier, Alex Iosevich +8
Signal recovery from incomplete or partial frequency information is a fundamental problem in harmonic analysis and applied mathematics, with wide-ranging applications in communicat…
Properties of Multidimensional Vector Zeckendorf Representations
Ivan Bortnovskyi, June Duvivier, Pedro Espinosa +7
Zeckendorf's Theorem says that for all , every nonnegative integer has a unique -Zeckendorf representation as a sum of distinct -bonacci numbers, where no conse…