Research ideas

Every idea extracted from recent arXiv mathematics papers — verified and unverified. Click an idea to open its full card; badges show the empirical verdict.

Unverified 2026

Quasiperiodic Additive State Module

Use the paper's skew product as a parameter-free recurrent state: one phase rotates by an irrational increment and a second state accumulates a lacunary Fourier readout of that phase. This supplies deterministic long-range memory with only scalar updates, avoiding a learned recurrent transition matrix and its potentially unstable spectrum.

Useful5/10
Difficulty5/10
Novelty6/10
Paper: Regularity, quantitative deviation, and non-rigidity of a lacunary skew product arXiv:2608.25821