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On a mean-field Pontryagin minimum principle for stochastic optimal control
Manfred Opper, Sebastian Reich
https://arxiv.org/abs/2506.10506 https://…

On a mean-field Pontryagin minimum principle for stochastic optimal control
This papers outlines a novel extension of the classical Pontryagin minimum (maximum) principle to stochastic optimal control problems. Contrary to the well-known stochastic Pontryagin minimum principle involving forward-backward stochastic differential equations, the proposed formulation is deterministic and of mean-field type. The Hamiltonian structure of the proposed Pontryagin minimum principle is achieved via the introduction of an appropriate gauge variable. The gauge freedom can be used t…

Stochastischer Terrorismus kann auch vom Staat ausgehen!
#pol

Minnesota shootings spotlight growing safety risks facing lawmakers (Kyle Stokes/Axios)
https://www.axios.com/local/twin-cities/2025/06/15/minnesota-melissa-hortman-shootings-political-threats
http://www.memeorandum.com/250615/p77#a250615p77

Kann eins nicht genügend empfehlen: Den Podcast Büchners Welt mit Luise und Peter Brunner; in der aktuellen, achten Episode (ab ca 33:30) erzählt Peter Brunner von der Entdeckung von Klaus Kroner, gemäß der in einem erhaltenen Exemplar des Hessischen Landboten die bekannte Parole am Ende sich durch ein entscheidendes Satzzeichen unterscheidet: "Friede den Hütten! Krieg den Palästen ?":
von

Büchners Welt - der Podcast von Luise und Peter - Neues aus Buechnerland
Nach der Erstsendung auf RadioDarmstadt  werden hier alle Folgen des Podcast zu finden sein – ganz bequem zum Anhören per Mausklick.  Selbstverständlich finden Sie die Folgen auch auf allen gängigen Portalen zum Anhören wo´s beliebt.  Zur Sendung Im Kern der Sendereihe Büchners Welt steht Georg Büchner. Um ihn, seine Werke, seine Familie und seine Freundschaften […]

An Exact Moment-Based Approach for Chemical Reaction-Diffusion Networks: From Mass Action to Hill Functions
Manuel Eduardo Hern\'andez-Garc\'ia, Eduardo Moreno-Barbosa, Jorge Vel\'azquez-Castro
https://arxiv.org/abs/2505.09053

An Exact Moment-Based Approach for Chemical Reaction-Diffusion Networks: From Mass Action to Hill Functions
Biochemical systems are inherently stochastic, particularly those with small-molecule populations. The spatial distribution of molecules plays a critical role and requires the inclusion of spatial coordinates in their analysis. Stochastic models such as the chemical master equation are commonly used to study these systems. However, analytical solutions are limited to specific cases, and stochastic simulations require significant computational resources. To mitigate these challenges, approximati…

Yipeee! #comedy #sketchhistory https://youtu.be/sl4E2VvrBPQ

Admitted symmetries of Backward Stochastic Differential Equations
Anas Ouknine, Paul Lescot
https://arxiv.org/abs/2506.10650 https://…

Admitted symmetries of Backward Stochastic Differential Equations
In this article, we introduce the concept of admitted Lie group of transformations for both backward stochastic differential equations (BSDEs) and forward backward stochastic differential equations (FBSDEs), following the approach of Meleshko et al. An application to BSDE is presented.

A look at 10 AI agent startups from YC's first-ever spring Demo Day; the batch included 144 companies, 70 of which focused on agentic AI (Samantha Stokes/Business Insider)
https://africa.businessinsider.com/new

The 10 most exciting AI agent startups at Y Combinator's Demo Day for its first-ever spring cohort
Christmas came early for Y Combinator