Tootfinder

A Qantas Airlines flight that left from Perth, Australia, on Monday night
returned to the same city the next morning after more than 15 consecutive hours in the air
— thanks to turmoil in the Middle East.
The flight, QF33, which was supposed to land in Paris,
was among a number of airplane journeys that were disrupted
after attacks in the region involving the United States, Israel and Iran prompted officials to temporarily close air space in the region.

15-Hour Qantas Flight Takes Passengers From Perth to Perth Amid Mideast Closures
Flights on Monday and Tuesday were delayed and diverted because of temporary air space closures in the region.

From Translink
The Pattullo Bridge will be closed to northbound vehicle traffic for four nights due to ongoing construction work for the Pattullo Bridge Replacement Project. The closures will take place overnight on these dates:
Thursday, June 26 (9pm to 5am)
Friday, June 27 (9pm to 5am)
Wednesday, July 2 (9pm to 5am)
Thursday, July 3 (9pm to 5am)
Southbound travel into Surrey will not be affected. The bridge will also remain open northbound for pedestrians, cy…

Closures of 1-tangles and annulus twists
Scott A. Taylor
https://arxiv.org/abs/2506.11226 https://arxiv.org/pdf/2506.11226

Closures of 1-tangles and annulus twists
A 1-tangle is a properly embedded arc $ψ$ in an unknotted solid torus $V$ in $S^3$. Attaching an arc $ϕ$ in the complementary solid torus $W$ to its endpoints creates a knot $K(ϕ)$ called the closure of $ψ$. We show that for a given nontrivial 1-tangle $ψ$ there exist at most two closures that are the unknot. We give a general method for producing nontrivial 1-tangles admitting two distinct closures and show that our construction accounts for all such examples. As an application, we show t…

This https://arxiv.org/abs/2504.02966 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On deformation of perfectoid purity in Gorenstein domains
If $(R,\mathfrak{m})$ is a complete local ring of mixed characteristic $(0,p)$ and $R/pR$ is an $F$-pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid pure. This condition is related to the Cohen-Macaulayness of the absolute integral closures of Gorenstein local domains of mixed characteristic which are not necessarily excellent. Along the way, we show that the problem of lifting $F$-purity of $R/pR$ to perfectoid purity of $R$ is equivalent to a similar deformation…

"And – for some reason – two mules and a dog."
https://51st.news/dc-military-parade-road-closures-what-to-know/

What to know about the military parade marching into town
And how to avoid it.

From Translink
Oakridge–41st Avenue Canada Line Station to close early for seven weeks
Two phases of night work necessary to install support structures at station entrance
The Canada Line’s Oakridge–41st Avenue Station will be closing at 11 p.m. from Sunday to Thursday nights over seven weeks, to allow for important upgrade work.

The temporary closures will happen in two phases and are necessary to ensure customer safety.
🧵1/n

@… The publishers have got to pay for all those expensive studio closures somehow.

This https://arxiv.org/abs/2504.02966 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On deformation of perfectoid purity in Gorenstein domains
If $(R,\mathfrak{m})$ is a complete local ring of mixed characteristic $(0,p)$ and $R/pR$ is an $F$-pure Gorenstein domain, we find a sufficient condition for $R$ to be perfectoid pure. This condition is related to the Cohen-Macaulayness of the absolute integral closures of Gorenstein local domains of mixed characteristic which are not necessarily excellent. Along the way, we show that the problem of lifting $F$-purity of $R/pR$ to perfectoid purity of $R$ is equivalent to a similar deformation…

A general framework for the asymptotic analysis of moist atmospheric flows
Daniel B\"aumer, Rupert Klein, Norbert J. Mauser
https://arxiv.org/abs/2506.14450

A general framework for the asymptotic analysis of moist atmospheric flows
We deal with asymptotic analysis for the derivation of partial differential equation models for geophysical flows in the earth's atmosphere with moist process closures, and we study their mathematical properties. Starting with the Navier-Stokes equations for dry air, we put the seminal papers of Klein, Majda et al. in a unified context and then discuss the appropriate extension to moist air. In particular, we deal with the scale-independent distinguished limit for the universal parameters of at…

Machine Learning-based quadratic closures for non-intrusive Reduced Order Models
Gabriele Codega, Anna Ivagnes, Nicola Demo, Gianluigi Rozza
https://arxiv.org/abs/2506.09830

Machine Learning-based quadratic closures for non-intrusive Reduced Order Models
In the present work, we introduce a data-driven approach to enhance the accuracy of non-intrusive Reduced Order Models (ROMs). In particular, we focus on ROMs built using Proper Orthogonal Decomposition (POD) in an under-resolved and marginally-resolved regime, i.e. when the number of modes employed is not enough to capture the system dynamics. We propose a method to re-introduce the contribution of neglected modes through a quadratic correction term, given by the action of a quadratic operator…

Symbolic Regression-Enhanced Dynamic Wake Meandering: Fast and Physically Consistent Wind-Turbine Wake Modeling
Ding Wang, Dachuan Feng, Kangcheng Zhou, Yuntian Chen, Shijun Liao, Shiyi Chen
https://arxiv.org/abs/2506.14403

Symbolic Regression-Enhanced Dynamic Wake Meandering: Fast and Physically Consistent Wind-Turbine Wake Modeling
Accurately modeling wind turbine wakes is essential for optimizing wind farm performance but remains a persistent challenge. While the dynamic wake meandering (DWM) model captures unsteady wake behavior, it suffers from near-wake inaccuracies due to empirical closures. We propose a Symbolic Regression-enhanced DWM (SRDWM) framework that achieves equation-level closure by embedding symbolic expressions for volumetric forcing and boundary terms explicitly into governing equations. These physicall…

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids
Emiliano Liwski, Fatemeh Mohammadi, Lisa Vandebrouck
https://arxiv.org/abs/2506.07757 https://

Algebraic Geometry of Cactus, Pascal, and Pappus Matroids
We study rank-three matroids, known as point-line configurations, and their associated matroid varieties, defined as the Zariski closures of their realization spaces. Our focus is on determining finite generating sets of defining equations for these varieties, up to radical, and describing the irreducible components of the corresponding circuit varieties. We generalize the notion of cactus graphs to matroids, introducing a family of point-line configurations whose underlying graphs are cacti. O…

From Translink
Partial closures on Pattullo Bridge coming next week
Bridge closed northbound for one night and southbound for two nights

The Pattullo Bridge will be partially closed to traffic three nights in a row next week so crews can perform scheduled maintenance work.
Monday June 9 9pm to 5am closed Northbound
Tuesday June 10 9pm to 5am closed
Southbound
Wednesday June 11 9pm to 5am closed Southbound
1/2

"And – for some reason – two mules and a dog."
https://51st.news/dc-military-parade-road-closures-what-to-know/

This https://arxiv.org/abs/2505.10018 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

LEMON-Mapping: Loop-Enhanced Large-Scale Multi-Session Point Cloud Merging and Optimization for Globally Consistent Mapping
Multi-robot collaboration is becoming increasingly critical and presents significant challenges in modern robotics, especially for building a globally consistent, accurate map. Traditional multi-robot pose graph optimization (PGO) methods ensure basic global consistency but ignore the geometric structure of the map, and only use loop closures as constraints between pose nodes, leading to divergence and blurring in overlapping regions. To address this issue, we propose LEMON-Mapping, a loop-enha…

Why is My Route Different Today? An Algorithm for Explaining Route Selection
Aaron Schild, Sreenivas Gollapudi, Anupam Gupta, Kostas Kollias, Ali Sinop
https://arxiv.org/abs/2506.05604

Why is My Route Different Today? An Algorithm for Explaining Route Selection
Users of routing services like Apple Maps, Google Maps, and Waze frequently wonder why a given route is proposed. This question particularly arises when dynamic conditions like traffic and road closures cause unusual routes to be proposed. While many dynamic conditions may exist in a road network at any time, only a small fraction of those conditions are typically relevant to a given user's route. In this work, we introduce the concept of a simple valid explanation (SVE), which consists of a sm…

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
David Klompenhouwer, Stijn Velstra
https://arxiv.org/abs/2506.02540

Spin refinement of moduli spaces of residueless meromorphic differentials and the BKP hierarchy
We consider strata of curves carrying a residueless meromorphic differential inducing a spin structure on the curve. The cohomology classes of the closures of these strata, weighted by the parity of the spin structures, form a partial cohomological field theory (CohFT) of infinite rank. After applying the DR hierarchy construction to this partial CohFT and reducing to differentials with two zeros and arbitrarily many poles, we show that the resulting system of evolutionary PDEs coincides with t…

This https://arxiv.org/abs/2303.17191 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the continuity of Følner averages
It is known that if each point $x$ of a dynamical system is generic for some invariant measure $μ_x$, then there is a strong connection between certain ergodic and topological properties of that system. In particular, if the acting group is abelian and the map $x\mapsto μ_x$ is continuous, then every orbit closure is uniquely ergodic. In this note, we show that if the acting group is not abelian, orbit closures may well support more than one ergodic measure even if $x\mapsto μ_x$ is contin…

This https://arxiv.org/abs/2209.08741 has been replaced.
link: https://scholar.google.com/scholar?q=a

Bergman representative coordinate, constant holomorphic curvature and a multidimensional generalization of Carathéodory's theorem
By using the Bergman representative coordinate and Calabi's diastasis, we extend a theorem of Lu to bounded pseudoconvex domains whose Bergman metric is incomplete with constant holomorphic sectional curvature. We characterize such domains that are biholomorphic to a ball possibly less a relatively closed pluripolar set. We also provide a multidimensional generalization of Carathéodory's theorem on the continuous extension of the biholomorphisms up to the closures. In particular, sufficient co…

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals
Vanmathi A, Parangama Sarkar
https://arxiv.org/abs/2506.09051 https://…

$\operatorname{v}$-numbers of integral closure filtrations of monomial ideals
In this article, we investigate the $\operatorname{v}$-numbers of powers of monomial ideals and their integral closures in a polynomial ring $S$. We provide an alternative proof for determining the $\operatorname{v}$-numbers of powers of complete intersection monomial ideals. Furthermore, we analyze the $\operatorname{v}$-numbers associated to integral closure filtrations of irreducible monomial ideals and explore their relationship with the Castelnuovo-Mumford regularity of these ideals. Conse…

This https://arxiv.org/abs/2503.16393 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiplicity $=$ Volume formula and Newton non-degenerate ideals in regular local rings
We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We show that the characterization of NND ideals via their integral closures known in the analytical setting extends to regular local rings. We use the limiting body $\mathcal{C}(\mathcal{I})$ associated to a graded family $\mathcal{I}$ of ideals to provide a new understanding of the celebrated "Multiplicity $=$ Volume" f…

This https://arxiv.org/abs/2503.16393 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multiplicity $=$ Volume formula and Newton non-degenerate ideals in regular local rings
We develop the notions of Newton non-degenerate (NND) ideals and Newton polyhedra for regular local rings. These concepts were first defined in the context of complex analysis. We show that the characterization of NND ideals via their integral closures known in the analytical setting extends to regular local rings. We use the limiting body $\mathcal{C}(\mathcal{I})$ associated to a graded family $\mathcal{I}$ of ideals to provide a new understanding of the celebrated "Multiplicity $=$ Volume" f…