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https://open.spotify.com/track/0HcjuZfdMuKHCspb20Pshj

Mark Zuckerberg and other executives will pay $190M to the company in a settlement with shareholders who brought suit to recover damages from the Cambridge Analytica data privacy scandal that reverberated out of Trump’s first term. Ensures that he, Sandberg, Andressen, Thiel, et al shielded from deposition, trial. https://<…

Zuckerberg, Meta directors agree to $190 million settlement of shareholder privacy case
WILMINGTON, Delaware (Reuters) -Mark Zuckerberg and current and former leaders of Meta Platforms agreed to pay the company $190 million to resolve...

A US judge bars NSO Group from targeting WhatsApp users and cuts the ~$168M damages verdict awarded to Meta by a jury in May to $4M, ruling it was excessive (Carly Nairn/Courthouse News Service)
https://courthousenews.com/israeli-spyware-company-blocked-from-whatsap…

The Age-Structured Chemostat with Substrate Dynamics as a Control System
Iasson Karafyllis, Dionysis Theodosis, Miroslav Krstic
https://arxiv.org/abs/2511.09963 https://arxiv.org/pdf/2511.09963 https://arxiv.org/html/2511.09963
arXiv:2511.09963v1 Announce Type: new
Abstract: In this work we study an age-structured chemostat model with a renewal boundary condition and a coupled substrate equation. The model is nonlinear and consists of a hyperbolic partial differential equation and an ordinary differential equation with nonlinear, nonlocal terms appearing both in the ordinary differential equation and the boundary condition. Both differential equations contain a non-negative control input, while the states of the model are required to be positive. Under an appropriate weak solution framework, we determine the state space and the input space for this model. We prove global existence and uniqueness of solutions for all admissible initial conditions and all allowable control inputs. To this purpose we employ a combination of Banach's fixed-point theorem with implicit solution formulas and useful solution estimates. Finally, we show that the age-structured chemostat model gives a well-defined control system on a metric space.
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Exponential valuations on lattice polygons valued at formal power series
Karoly J. Boroczky, Matyas Domokos, Ansgar Freyer, Christoph Haberl, Jin Li
https://arxiv.org/abs/2510.04544

Exponential valuations on lattice polygons valued at formal power series
We classify valuations on lattice polygons with values in the ring of formal power series that commute with the action of the affine unimodular group. A typical example of such valuations is induced by the Laplace transform, but as it turns out there are many more. The classification is done in terms of formal power series that satisfy certain functional equations. We align our classification with the decomposition into so-called dilative components.