Tootfinder

Star and weak star irreducible fully commutative elements in Coxeter groups of affine types $\widetilde{B}$ and $\widetilde{D}$
Riccardo Biagioli, Luca Costantini, Elisa Sasso
https://arxiv.org/abs/2508.08388

Star and weak star irreducible fully commutative elements in Coxeter groups of affine types $\widetilde{B}$ and $\widetilde{D}$
The star operation, originally introduced by Kazhdan and Lusztig, was later specialized by Ernst to the so-called weak star reduction on the set of fully commutative elements of a Coxeter group. In this paper, we classify the star and weak star irreducible fully commutative elements in Coxeter groups of affine types $\widetilde{B}_{n+1}$ and $\widetilde{D}_{n+2}$. Focusing then on the case of type $\widetilde{D}_{n+2}$, we use the classification of star irreducible elements to provide a new pro…

Series A, Episode 02 - Space Fall
JENNA: So's ours.
BLAKE: We have less to lose.
AVON: You may have, but I value my life!
JENNA: Assuming they do land us somewhere, what then?
BLAKE: Find a way of getting back to Earth.
JENNA: Back to Earth?
https://blake.torpidity.net/m/102/388

Was gerade in den USA passiert, sollte allen, die immer noch dem Glauben anhängen, Geschichte und Politik würden im Endeffekt durch Geld oder wirtschaftliche Faktoren bestimmt, zu denken geben.
Fluglinien verramschen Flüge in die USA, weil es doch einen spürbaren Rückgang bei der Nachfrage gibt.
Farmern fehlen Erntehelfer, Handelsunternehmen suchen sich Nicht-US-Handelspartner und jetzt verhaften die ICE südkoreanische Arbeiter, die ein Werk in den USA aufbauen.
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Feedback Linearisation with State Constraints
Songlin Jin, Yuanbo Nie, Morgan Jones
https://arxiv.org/abs/2509.05191 https://arxiv.org/pdf/2509.05191

Feedback Linearisation with State Constraints
Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input-affine nonlinear dynamical systems into linear dynamical systems, allowing for the use of linear controller design methods such as pole placement. However, for problems with state constraints, controlling the linear system induced by FBL can be more challenging than controlling the original system. This is because simple state constraints in the original nonlinear system become complex nonlinea…