Analysis: OpenAI and Anthropic employees are donating to campaigns more heavily and cohesively than Google, Meta, and Airbnb employees did post-IPO (Alexandra Lindsay/The San Francisco Standard)
https://sfstandard.com/2026/07/18/ai-s-…
US Immigration and Customs Enforcement (ICE) has engaged in a deadly immigration crackdown that has trampled the constitutional rights of migrants and US citizens.
During the operation, there have been 28 incidents where immigration agents shot at people,
resulting in eight deaths,
according to an analysis by The Trace.
On July 13, an ICE officer fatally shot Joan Sebastian Duršn Guerrero,
a 25-year-old delivery driver from Colombia authorized to work in the US…
So ihr Schnuckis, bringt mal geschwind eure Aktienportefeuilles auf aktuellen Stand! https://www.tagesschau.de/wirtschaft/finanzen/marktbericht-vonovia-deutsche-wohnen-100.html?at_medium=mastodon&at_ca…
Improved detection and spatiotemporal spectral analysis of neural traveling waves https://www.biorxiv.org/content/10.64898/2026.09.11.750831v1 "alpha/beta activity is associated with both feedforward- and feedback-directed large-scale dynamics";
Trial lawyers, with big liability litigation earnings, are among the most active lobbyists against autonomous vehicles, even as data shows clear safety benefits (Alex Tabarrok/Marginal Revolution)
https://marginalrevolution.com/margina
#Nordstadtblogger Netzwerk gegen #Antisemitismus #Dortmund organisiert Reihe zum 7. Oktober - Drei Jahre nach dem Terrorangriff der
A Measure-Theoretic Approach to Spontaneous Stochasticity
Wandrille Ruffenach, Eric Simonnet, Nicolas Valade
https://arxiv.org/abs/2607.16328 https://arxiv.org/pdf/2607.16328 https://arxiv.org/html/2607.16328
arXiv:2607.16328v1 Announce Type: new
Abstract: Spontaneous stochasticity (SpSt), originating in Richardson's picture of turbulent dispersion and Lorenz's Eulerian view of finite-time loss of predictability, was later formulated under this name by Gaw\k{e}dzki and collaborators and developed in shell models by Mailybaev and collaborators. Whether it occurs in fully developed turbulence remains a major open question.
Beyond a few specific classes of systems, however, SpSt has lacked a general mathematical definition. We introduce a measure-theoretic formalism in which it is understood as a measure-selection principle. Given an inviscid problem, a well-posed regularization, and an ambient measure, we study the pushforward of that measure by the regularized flow. Strong SpSt occurs when these pushforward measures converge to a non-Dirac probability law, replacing classical deterministic selection by statistical selection.
For finite-dimensional systems, we establish several structural results. Our central attainability theorem shows that, whenever the inviscid problem is nonunique, any probability measure supported on the set of inviscid states can be selected as the limiting law of a suitable regularization. We also identify singular sets in the inviscid dynamics, detected through Dini-type directional growth, as necessary obstructions underlying nonuniqueness. We analyze the relation between SpSt and sensitivity to initial data, clarifying the scope and limitations of turbulence-inspired finite-time separation criteria. Finally, we develop a renormalization-(semi)group viewpoint in which limiting statistics arise as statistical attractors. Explicit examples illustrate how ambient measures, inviscid singularities, regularization scales, and initial-data sensitivity interact in the emergence of SpSt.
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