Tootfinder

Stochastic dynamic job scheduling with interruptible setup and processing times: An approach based on queueing control
Dongnuan Tian, Rob Shone
https://arxiv.org/abs/2509.06578 …

Stochastic dynamic job scheduling with interruptible setup and processing times: An approach based on queueing control
We consider a stochastic, dynamic job scheduling problem, formulated as a queueing control problem, in which a single server processes jobs of different types that arrive according to independent Poisson processes. The problem is defined on a network, with jobs arriving at designated demand points and waiting in queues to be processed by the server, which travels around the network dynamically and is able to change its course at any time. In the context of machine scheduling, this enables us to…

"The precision of our analysis notwithstanding, the sad truth is that the future looks bleak and insurrectional, particularly for those in the USA. As these words hit the web, the SCOTUS has effectively abolished universal injunctions to presidential power, thereby kicking off the democracy overrule process we predicted exactly three years ago in this magazine–needless to say, a prediction we would have loved to get wrong."

Generalizing blocking semiovals in finite projective planes
Marilena Crupi, Antonino Ficarra
https://arxiv.org/abs/2507.05037 https://

Generalizing blocking semiovals in finite projective planes
Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the concept of blocking set with the $r_\infty$-property in a finite projective plane $\text{PG}(2,q)$, with $r_\infty$ a line of $\text{PG}(2,q)$ and $q$ a prime power. This notion greatly generalizes that of blocking semioval. We address the question of determining those integers $k$ for which there exists a blocking set of…

Largest zero-dimensional intersection of $r$ degree $d$ hypersurfaces
Deepesh Singhal, Yuxin Lin
https://arxiv.org/abs/2507.05732 https://

Largest zero-dimensional intersection of $r$ degree $d$ hypersurfaces
Suppose we have $r$ hypersurfaces in $\mathbb{P}^m$ of degree $d$, whose defining polynomials are linearly independent, and their intersection has dimension $0$. Then what is the largest possible intersection of the $r$ hypersurfaces? We conjecture an exact formula for this problem and prove it when $m=2$. We show that this can be used to compute the generalized hamming weights of the projective Reed-Muller code $\operatorname{PRM}_q(d,2)$ and hence settle a conjecture of Beelen, Datta and Ghor…

On-chip magnon polaritons in the ultrastrong coupling regime
Shugo Yoshii, Manuel M\"uller, Ryo Ohshima, Matthias Althammer, Yuichiro Ando, Hans Huebl, Masashi Shiraishi
https://arxiv.org/abs/2507.06065

On-chip magnon polaritons in the ultrastrong coupling regime
Light-matter interactions underpin the quantum technologies from quantum information processing to quantum sensing. When the coupling strength of light-matter interactions approaches the resonance frequencies of light and matter - the ultrastrong coupling regime - antiresonant (counter-rotating) processes, in which a photon and a matter excitation are simultaneously created or annihilated, induce non-negligible ground-state quantum entanglement between light and matter. Ultrastrong coupling thu…

Effects of Lorentz invariance violation on particle and photon production in astrophysical sources
Matheus Duarte, Vitor de Souza
https://arxiv.org/abs/2507.06766

Effects of Lorentz invariance violation on particle and photon production in astrophysical sources
We investigate the impact of Lorentz invariance violation (LIV) on radiation processes in astrophysical sources, focusing on synchrotron and inverse Compton interactions. We derive modified expressions for radiated power and photon energy under LIV assumptions and incorporate them into first-order Fermi acceleration models. Our analysis reveals energy thresholds beyond which LIV significantly alters particle dynamics and photon spectra, introducing non-physical divergences that highlight limita…

Learning Agile Tensile Perching for Aerial Robots from Demonstrations
Kangle Yuan, Atar Babgei, Luca Romanello, Hai-Nguyen Nguyen, Ronald Clark, Mirko Kovac, Sophie F. Armanini, Basaran Bahadir Kocer
https://arxiv.org/abs/2507.06172

Learning Agile Tensile Perching for Aerial Robots from Demonstrations
Perching on structures such as trees, beams, and ledges is essential for extending the endurance of aerial robots by enabling energy conservation in standby or observation modes. A tethered tensile perching mechanism offers a simple, adaptable solution that can be retrofitted to existing robots and accommodates a variety of structure sizes and shapes. However, tethered tensile perching introduces significant modelling challenges which require precise management of aerial robot dynamics, includi…

Cosmic Threads: Interlinking the Stellar Initial Mass Function from Star-Birth to Galaxies
Tereza Jerabkova, Donatella Romano, Pavel Kroupa, Philippe Andr\'e, Martyna Chru\'sli\'nska, Fabio Fontanot, Andrew Hopkins, Vikrant Jadhav, Natalia Lah\'en, Yueh-Ning Lee, Alessio Mucciarelli, Stefania Salvadori, Long Wang, Zhiqiang Yan, Morten Andersen, Anna Durrant, Fabien Louvet, Mariya Lyubenova, Francesca Matteucci, Piyush Sharda, Glenn van de Ven, Alexandre Vazdekis

Cosmic Threads: Interlinking the Stellar Initial Mass Function from Star-Birth to Galaxies
The stellar initial mass function (sIMF) describes the distribution of stellar masses formed in a single star formation event in a molecular cloud clump. It is fundamental to astrophysics and cosmology, shaping our understanding of unresolved stellar populations, galactic chemical enrichment and habitable zones, and black hole growth. This White Paper reviews studies on the core mass function, stellar multiplicity, and dynamical processes affecting sIMF determinations, as well as the link betwe…

An inexact inertial projective splitting algorithm with strong convergence
M. Marques Alves, J. E. Navarro Caballero, R. T. Marcavillaca
https://arxiv.org/abs/2507.05382

An inexact inertial projective splitting algorithm with strong convergence
We propose and study a strongly convergent inexact inertial projective splitting (PS) algorithm for finding zeros of composite monotone inclusion problems involving the sum of finitely many maximal monotone operators. Strong convergence of the iterates is ensured by projections onto the intersection of appropriately defined half-spaces, even in the absence of inertial effects. We also establish iteration-complexity results for the proposed PS method, which likewise hold without requiring inerti…

Torsors over moduli spaces of vector bundles over curves of fixed determinant
Indranil Biswas, Jacques Hurtubise
https://arxiv.org/abs/2507.05690 https://

Torsors over moduli spaces of vector bundles over curves of fixed determinant
Let ${\mathcal M}$ be a moduli space of stable vector bundles of rank $r$ and determinant $ξ$ on a compact Riemann surface $X$. Fix a semistable holomorphic vector bundle $F$ on $X$ such that $χ(E\otimes F)= 0$ for $E \in \mathcal M$. Then any $E\in \mathcal M$ with $H^0(X, E\otimes F) = 0 = H^1(X, E\otimes F)$ has a natural holomorphic projective connection. The moduli space of pairs $(E,\, \nabla)$, where $E\, \in\, \mathcal M$ and $\nabla$ is a holomorphic projective connection on $E$, is …