4 papers
math.CO2026
Tighter bounds on Komlós discrepancy: existence and algorithmic results
Emrullah Akbas, Suvrit Sra
Guo, Fang, and Lu recently proved the Komlós conjecture: for vectors of Euclidean norm at most one, there are signs with $…
math.PR2026
Boolean Small-Ball Inequalities for Discrepancy Theory
Emrullah Akbas, Suvrit Sra
We prove new small-ball inequalities for boolean matrix-series. The leading example is , which holds for…
math.FA2026
A Proof of the Matrix Spencer Conjecture
Emrullah Akbas, Suvrit Sra
We develop a novel approach to matrix discrepancy based on matrix small-ball estimates. Specifically, we use a determinantal weight (obtained from the log-barrier) to scale the sma…
math.PR2026
An Algebraic Matrix Spencer Theorem
Emrullah Akbas, Suvrit Sra
We develop an algebraic approach to matrix discrepancy based on the representation theory of finite-dimensional C-algebras. As an application, we resolve a substantial structur…