David Jekel

activity

20212026

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math.PR2026

Noncommutative $L^{p}$ -integrators and stochastic differential equations in $L^{p}$

David A. Jekel, Todd A. Kemp, Evangelos A. Nikitopoulos

We propose a new framework for noncommutative stochastic integration in $L^{p}$ , inspired by Bichteler's notion of $L^{p}$ -integrators, that massively generalizes our previous theory o…

math.OA2026

Compact quantum metric spaces from free probability

David Jekel, Therese Basa Landry

We study quantum metric space structures on operator algebras arising from free probability, namely those associated to $q$ -Gaussians and free Gibbs laws for convex potentials. We…

math.OA2026

Free information geometry and the model theory of noncommutative stochastic processes

David Jekel

We study entropy and optimal transport theory in the free probabilistic setting motivated by the large- $n$ theory of random tuples of matrices. We define a new version of free entr…

Noncommutative Lp-integrators and stochastic differential equations in Lp

Compact quantum metric spaces from free probability

Free information geometry and the model theory of noncommutative stochastic processes

Noncommutative $L^{p}$ -integrators and stochastic differential equations in $L^{p}$