Tootfinder

LP Relaxations for Routing and Wavelength Assignment with Partial Path Protection: Formulations and Computations
Xianyan Yang, Junyan Liu, Fan Zhang, Fabo Sun, Feng Li, Zhou Xu
https://arxiv.org/abs/2506.12838

LP Relaxations for Routing and Wavelength Assignment with Partial Path Protection: Formulations and Computations
As a variant of the routing and wavelength assignment problem (RWAP), the RWAP with partial path protection (RWAP-PPP) designs a reliable optical-fiber network for telecommunications. It assigns paths and wavelengths to meet communication requests, not only in normal working situations but also in potential failure cases where an optical link fails. The literature lacks efficient relaxations to produce tight lower bounds on the optimal objective value of the RWAP-PPP. Consequently, the solution…

YSO Jets Driven by Magnetic Pressure Generated through Stellar Magnetosphere-Disk Interaction
Yisheng Tu, Zhi-Yun Li, Zhaohuan Zhu, Xiao Hu, Chun-Yen Hsu
https://arxiv.org/abs/2506.11333

YSO Jets Driven by Magnetic Pressure Generated through Stellar Magnetosphere-Disk Interaction
The origin of jets in young stellar objects (YSOs) remains a subject of active investigation. We present a 3D non-ideal magnetohydrodynamic simulation of jet launching in YSOs, focusing on the interaction between the stellar magnetosphere and the circumstellar disk. At the beginning of the simulation, the magnetosphere partially opens, forming two oppositely directed magnetic field regions: one threading the star and the other threading the inner disk. The latter dominates over the original dis…

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 ?":
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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 […]

Rieffel projections and 2-by-2 matrices
Olivier Isely, Alain Valette
https://arxiv.org/abs/2506.12640 https://arxiv.org/pdf/2506.1264…

Rieffel projections and 2-by-2 matrices
For a compact space $Y$, we view $C(Y\times S^1)$ as the crossed product $C(Y)\rtimes\mathbb{Z}$, with $\mathbb{Z}$ acting trivially. This allows us to study Rieffel projections in $M_2(C(Y\times S^1))$: we characterize them and compute their image under the projection $\partial_0:K_0(C(Y\times S^1))\rightarrow K_1(C(Y))$. We provide a new Rieffel projection in $M_2(C(\mathbb{T}^2))$, different from Loring's one, and involving only trigonometric polynomials plus the square root of $2-e^{2πiθ}…

Um König zu werden, braucht man keine Bildung und keine guten Schulnoten, sondern nur die richtigen Eltern. Das gleiche gilt für den Aufstieg in den Parteioligarchien, nur dass hier die Genetik hinter dem Geld und dem Willen zur Kriminalität zurücksteht.

Seamless Dysfluent Speech Text Alignment for Disordered Speech Analysis
Zongli Ye, Jiachen Lian, Xuanru Zhou, Jinming Zhang, Haodong Li, Shuhe Li, Chenxu Guo, Anaisha Das, Peter Park, Zoe Ezzes, Jet Vonk, Brittany Morin, Rian Bogley, Lisa Wauters, Zachary Miller, Maria Gorno-Tempini, Gopala Anumanchipalli
https://arxiv.org/abs/2…

Seamless Dysfluent Speech Text Alignment for Disordered Speech Analysis
Accurate alignment of dysfluent speech with intended text is crucial for automating the diagnosis of neurodegenerative speech disorders. Traditional methods often fail to model phoneme similarities effectively, limiting their performance. In this work, we propose Neural LCS, a novel approach for dysfluent text-text and speech-text alignment. Neural LCS addresses key challenges, including partial alignment and context-aware similarity mapping, by leveraging robust phoneme-level modeling. We eval…

SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning
Qixuan Zhou, Chuqi Chen, Tao Luo, Yang Xiang
https://arxiv.org/abs/2508.10322

SSBE-PINN: A Sobolev Boundary Scheme Boosting Stability and Accuracy in Elliptic/Parabolic PDE Learning
Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs), yet they often fail to achieve accurate convergence in the H1 norm, especially in the presence of boundary approximation errors. In this work, we propose a novel method called Sobolev-Stable Boundary Enforcement (SSBE), which redefines the boundary loss using Sobolev norms to incorporate boundary regularity directly into the training process. We provide rigorous theor…

DeepWKB: Learning WKB Expansions of Invariant Distributions for Stochastic Systems
Yao Li, Yicheng Liu, Shirou Wang
https://arxiv.org/abs/2508.09529 https://

DeepWKB: Learning WKB Expansions of Invariant Distributions for Stochastic Systems
This paper introduces a novel deep learning method, called DeepWKB, for estimating the invariant distribution of randomly perturbed systems via its Wentzel-Kramers-Brillouin (WKB) approximation $u_ε(x) = Q(ε)^{-1} Z_ε(x) \exp\{-V(x)/ε\}$, where $V$ is known as the quasi-potential, $ε$ denotes the noise strength, and $Q(ε)$ is the normalization factor. By utilizing both Monte Carlo data and the partial differential equations satisfied by $V$ and $Z_ε$, the DeepWKB method computes $V$ and …

Entropy Measures for Transition Matrices in Random Systems
Zhaohui Chen, Rene Meyer, Zhuo-Yu Xian
https://arxiv.org/abs/2508.09261 https://arxiv.org/pdf/25…

Entropy Measures for Transition Matrices in Random Systems
A transition matrix can be constructed through the partial contraction of two given quantum states. We analyze and compare four different definitions of entropy for transition matrices, including (modified) pseudo entropy, SVD entropy, and ABB entropy. We examine the probabilistic interpretation of each entropy measure and show that only the distillation interpretation of ABB entropy corresponds to the joint success probability of distilling entanglement between the two quantum states used to c…

Partial character tables for $\mathbb{Z}_\ell$-spetses
Radha Kessar, Gunter Malle, Jason Semeraro
https://arxiv.org/abs/2507.08502 https://

Partial character tables for $\mathbb{Z}_\ell$-spetses
Let ${\mathbb{G}}$ be a simply connected ${\mathbb{Z}}_\ell$-spets, let $q$ be a prime power, prime to $\ell$ and let $S$ be the underlying Sylow $\ell$-subgroup. Firstly, motivated by known formulae for values of Deligne-Lusztig characters of finite reductive groups, we propose a formula for the values of the unipotent characters of ${\mathbb{G}}(q)$ on the elements of $S$. Using this, we explicitly list the unipotent character values of the ${\mathbb{Z}}_2$-spets $G_{24}(q)$ related to the Be…