Emrullah Akbas

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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 $E_{s} [det (I - S^{2})^{β} 1_{{∥ S ∥ < 1}}] \geq e^{- O (β τ)}$ , which holds for…

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…