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A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
https://arxiv.org/abs/2507.08226 …

A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
In this paper we introduce and analyze, for two and three dimensions, a finite element method to approximate the natural frequencies of a flow system governed by the Stokes-Brinkman equations. Here, the fluid presents the capability of being within a porous media. Taking advantage of the Stokes regularity results for the solution, and considering inf-sup stable families of finite elements, we prove convergence together with a priori and a posteriori error estimates for the eigenvalues and eigen…

Is the Raiders’ Secondary Underrated? https://www.si.com/nfl/raiders/las-vegas-darien-porter-jeremy-chinn-eric-stokes-pete-carroll

Causal Hamilton-Jacobi-Bellman Equations for Anticipative Stochastic Optimal Control
Peter Bank, Franziska Bielert
https://arxiv.org/abs/2507.08657 https:/…

Causal Hamilton-Jacobi-Bellman Equations for Anticipative Stochastic Optimal Control
We consider a stochastic optimal control problem where the controller can anticipate the evolution of the driving noise over some dynamically changing time window. The controlled state dynamics are understood as a rough differential equation. We combine the martingale optimality principle with a functional form of Itô's formula to derive a Hamilton-Jacobi-Bellman (HJB) equation for this problem. This HJB equation is formulated in terms of Dupire's functional derivatives and involves a transpor…

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

Pricing and hedging the prepayment option of mortgages under stochastic housing market activity
Leonardo Perotti, Lech A. Grzelak, Cornelis W. Oosterlee
https://arxiv.org/abs/2507.08641

Pricing and hedging the prepayment option of mortgages under stochastic housing market activity
Prepayment risk embedded in fixed-rate mortgages forms a significant fraction of a financial institution's exposure. The embedded prepayment option bears the same interest rate risk as an exotic interest rate swap with a suitable stochastic notional. Focusing on penalty-free prepayment because of the contract owner's relocation to a new house, we model the prepayment option value as an European-type interest rate receiver swaption with stochastic maturity matching the stochastic time of relocat…

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

Approximation Algorithms for the Cumulative Vehicle Routing Problem with Stochastic Demands
Jingyang Zhao, Mingyu Xiao
https://arxiv.org/abs/2507.08316 htt…

Approximation Algorithms for the Cumulative Vehicle Routing Problem with Stochastic Demands
In the Cumulative Vehicle Routing Problem (Cu-VRP), we need to find a feasible itinerary for a capacitated vehicle located at the depot to satisfy customers' demand, as in the well-known Vehicle Routing Problem (VRP), but the goal is to minimize the cumulative cost of the vehicle, which is based on the vehicle's load throughout the itinerary. If the demand of each customer is unknown until the vehicle visits it, the problem is called Cu-VRP with Stochastic Demands (Cu-VRPSD). Assume that the ap…

Chinese couriers carrying 80 TB of hot data into Kuala Lumpur to feed into an AI, in this early 80s William Gibson short story.
https://www.wsj.com/tech/china-ai-chip-curb-suitcases-7c47dab1

Magic Steady State Production: Non-Hermitian and Stochastic pathways
Pablo Martinez-Azcona, Matthieu Sarkis, Alexandre Tkatchenko, Aur\'elia Chenu
https://arxiv.org/abs/2507.08676

Magic Steady State Production: Non-Hermitian and Stochastic pathways
Universal quantum computers require states with both entanglement and non-stabilizerness, the latter property being commonly known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to unitary dynamics, can host pure-state attractors. We investigate the dissipative qubit, in which we find the optimal parameters to prepare $|H\rangle$ and $|T\rangle$ states. Interestingly, this approach does n…

How Chinese AI companies bypass US chip restrictions by transporting hard drives with AI training data to Malaysian data centers housing advanced Nvidia chips (Wall Street Journal)
https://www.wsj.com/tech/china-ai-chip-cur