3 citations · 8 across the 33 of their papers we have counts for
36 papers
The critical mixed-arithmetic four-point HRT theorem
Vignon Oussa
Although the Heil--Ramanathan--Topiwala conjecture is false in full generality, its failure makes the classification of positive geometric and arithmetic regimes more urgent. We se…
A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
Vignon Oussa
In a remarkable breakthrough, Faulhuber, Petersen, van Velthoven, and Voigtlaender disproved the Heil--Ramanathan--Topiwala conjecture by constructing twelve linearly dependent tim…
Near-Parseval orbit frames for irreducible unitary representations: from mixing and expansion
Vignon Oussa
We establish an abstract storage theorem for projectively unitary representations admitting a pair of one-parameter subgroups with conjugation escape. It produces, for every…
An intrinsically subcritical four-point counterexample
Vignon Oussa
Building on the vector-Zak and cohomological framework developed by Faulhuber, Petersen, van Velthoven, and Voigtlaender in their twelve-point counterexample, we give a computer-as…
Lean-certified four-point HRT results for three lattice points and one off-lattice point
Vignon Oussa
We record a Lean-certified theorem package for the four-point Heil--Ramanathan--Topiwala configuration \[ Λ=\{0,a,b,ν\}\subset \R^2, \qquad \Lzero=\Z a+\Z b, \qquad ν=r a+s b, \] w…
Translation--Modulation Identities, Ergodic Log-Products and a Conditional Obstruction for Schwartz Functions
Vignon Oussa
We study very smooth functions on the real line, namely Schwartz functions, that satisfy a finite identity relating their translates and a single modulation. Concretely, we assume…