Tootfinder

LongAnimation: Long Animation Generation with Dynamic Global-Local Memory
Nan Chen, Mengqi Huang, Yihao Meng, Zhendong Mao
https://arxiv.org/abs/2507.01945

LongAnimation: Long Animation Generation with Dynamic Global-Local Memory
Animation colorization is a crucial part of real animation industry production. Long animation colorization has high labor costs. Therefore, automated long animation colorization based on the video generation model has significant research value. Existing studies are limited to short-term colorization. These studies adopt a local paradigm, fusing overlapping features to achieve smooth transitions between local segments. However, the local paradigm neglects global information, failing to maintai…

How the GOP Megabill Would Turbocharge Local Immigration Enforcement (Daniel Nichanian/Bolts)
https://boltsmag.org/how-the-gop-megabill-would-turbocharge-local-immigration-enforcement/
http://www.memeorandum.com/250703/p128#a250703p128

Adapting Language Models to Indonesian Local Languages: An Empirical Study of Language Transferability on Zero-Shot Settings
Rifki Afina Putri
https://arxiv.org/abs/2507.01645

Adapting Language Models to Indonesian Local Languages: An Empirical Study of Language Transferability on Zero-Shot Settings
In this paper, we investigate the transferability of pre-trained language models to low-resource Indonesian local languages through the task of sentiment analysis. We evaluate both zero-shot performance and adapter-based transfer on ten local languages using models of different types: a monolingual Indonesian BERT, multilingual models such as mBERT and XLM-R, and a modular adapter-based approach called MAD-X. To better understand model behavior, we group the target languages into three categori…

Local H\"older Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
Juan Pablo Alcon Apaza
https://arxiv.org/abs/2507.01899

Local Hölder Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
We establish local boundedness and local Hölder continuity of weak solutions to the following prototype problem: $$ -\operatorname{div}\left(|x|^{-2 β}|\nabla u|^{\mathbf{q}-2} \nabla u\right)+(-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u=0 \quad \text { in } \quad Ω, $$ where $Ω\subset \mathbb{R}^n, n \geq 2$, is a bounded domain. The nonlocal operator is defined by $$ (-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u(x):=\mathrm{P} . \mathrm{V} . \int_Ω \frac{&#…

On the local metric dimension of $K_4$-free graphs
Ali Ghalavand, Sandi Klav\v{z}ar, Xueliang Li
https://arxiv.org/abs/2506.00414 https://

On the local metric dimension of $K_4$-free graphs
Let $G$ be a graph of order $ n(G) $, local metric dimension $ \dim_l(G) $, and clique number $ ω(G) $. It has been conjectured that if $ n(G) \geq ω(G) + 1 \geq 4 $, then $ \dim_l(G) \leq \left( \frac{ω(G) - 2}{ω(G) - 1} \right) n(G) $. In this paper the conjecture is confirmed for the case $ ω(G) = 3 $. Consequently, a problem regarding the local metric dimension of planar graphs is also resolved.

Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
Hyunsuk Kim, Sridhar Venkatesh
https://arxiv.org/abs/2506.03026

Lefschetz morphisms on singular cohomology and local cohomological dimension of toric varieties
Given a proper toric variety and a line bundle on it, we describe the morphism on singular cohomology given by the cup product with the Chern class of that line bundle in terms of the data of the associated fan. Using that, we relate the local cohomological dimension of an affine toric variety with the Lefschetz morphism on the singular cohomology of a projective toric variety of one dimension lower. As a corollary, we show that the local cohomological defect is not a combinatorial invariant. W…

The Cloud Next Door: Investigating the Environmental and Socioeconomic Strain of Datacenters on Local Communities
Wacuka Ngata, Noman Bashir, Michelle Westerlaken, Laurent Liote, Yasra Chandio, Elsa Olivetti
https://arxiv.org/abs/2506.03367

The Cloud Next Door: Investigating the Environmental and Socioeconomic Strain of Datacenters on Local Communities
Datacenters have become the backbone of modern digital infrastructure, powering the rapid rise of artificial intelligence and promising economic growth and technological progress. However, this expansion has brought growing tensions in the local communities where datacenters are already situated or being proposed. While the mainstream discourse often focuses on energy usage and carbon footprint of the computing sector at a global scale, the local socio-environmental consequences -- such as heal…

A first-order method for nonconvex-nonconcave minimax problems under a local Kurdyka-\L{}ojasiewicz condition
Zhaosong Lu, Xiangyuan Wang
https://arxiv.org/abs/2507.01932

A first-order method for nonconvex-nonconcave minimax problems under a local Kurdyka-Łojasiewicz condition
We study a class of nonconvex-nonconcave minimax problems in which the inner maximization problem satisfies a local Kurdyka-Łojasiewicz (KL) condition that may vary with the outer minimization variable. In contrast to the global KL or Polyak-Łojasiewicz (PL) conditions commonly assumed in the literature -- which are significantly stronger and often too restrictive in practice -- this local KL condition accommodates a broader range of practical scenarios. However, it also introduces new analyt…

Ouch
Toronto’s latest bike lane plan doesn’t propose new lanes for the first time in years
#topoli #biketo

Cybersecurity Issues in Local Energy Markets
Al Hussein Dabashi, Sajjad Maleki, Biswarup Mukherjee, Gregory Epiphaniou, Carsten Maple, Charalambos Konstantinou, Subhash Lakshminarayana
https://arxiv.org/abs/2507.01536

Cybersecurity Issues in Local Energy Markets
Local Energy Markets (LEMs), though pivotal to the energy transition, face growing cybersecurity threats due to their reliance on smart grid communication standards and vulnerable Internet-of-Things (IoT)-enabled devices. This is a critical issue because such vulnerabilities can be exploited to manipulate market operations, compromise participants' privacy, and destabilize power distribution networks. This work maps LEM communication flows to existing standards, highlights potential impacts of …

Feds detains workers at West Hollywood car wash on Fourth of July – NBC Los Angeles
https://www.nbclosangeles.com/news/local/federal-agents-strike-west-hollywood-car-wash-for-fourth-of-july-operation/3738879/

“[Police] said the bag contained 453 hydrocodone pills, 986 Xanax pills, 2083 OxyContin pills, and 979 ecstasy pills” or as RFK Jr. calls it, Monday morning
https://wreg.com/news/local/35k-in-drugs-balenciaga-sneakers-seized-in-memphis-baggage-cl…

Optimal Coordination of Flexible DERs in Local Energy and Flexibility Markets to Ensure Social Equity
Niloofar Pourghaderi, Milad Kabirifar, Payman Dehghanian
https://arxiv.org/abs/2506.02179

Optimal Coordination of Flexible DERs in Local Energy and Flexibility Markets to Ensure Social Equity
Local electricity markets offer a promising solution for integrating renewable energy sources and other distributed energy resources (DERs) into distribution networks. These markets enable the effective utilization of flexible resources by facilitating coordination among various agents. Beyond technical and economic considerations, addressing social equity within these local communities is critical and requires dedicated attention in market-clearing frameworks. This paper proposes a social equi…

“From Catalunya in the northeast to Andalusia in the southwest of Spain, she overcame local differences, building solidarity among anarcho-syndicalists whose strength really lay in local and regional councils. She had the capacity to speak to a crowd as if she were talking to friends in a café, and reached equally the male and female working class. A natural teacher, she understood and could explain how particular struggles fit into larger campaigns… she was one of those mythical organizers …

Long; central Massachusetts colonial history
Today on a whim I visited a site in Massachusetts marked as "Huguenot Fort Ruins" on OpenStreetMaps. I drove out with my 4-year-old through increasingly rural central Massachusetts forests & fields to end up on a narrow street near the top of a hill beside a small field. The neighboring houses had huge lawns, some with tractors.
Appropriately for this day and this moment in history, the history of the site turns out to be a microcosm of America. Across the field beyond a cross-shaped stone memorial stood an info board with a few diagrams and some text. The text of the main sign (including typos/misspellings) read:
"""
Town Is Formed
Early in the 1680's, interest began to generate to develop a town in the area west of Natick in the south central part of the Commonwealth that would be suitable for a settlement. A Mr. Hugh Campbell, a Scotch merchant of Boston petitioned the court for land for a colony. At about the same time, Joseph Dudley and William Stoughton also were desirous of obtaining land for a settlement. A claim was made for all lands west of the Blackstone River to the southern land of Massachusetts to a point northerly of the Springfield Road then running southwesterly until it joined the southern line of Massachusetts.
Associated with Dudley and Stoughton was Robert Thompson of London, England, Dr. Daniel Cox and John Blackwell, both of London and Thomas Freak of Hannington, Wiltshire, as proprietors. A stipulation in the acquisition of this land being that within four years thirty families and an orthodox minister settle in the area. An extension of this stipulation was granted at the end of the four years when no group large enough seemed to be willing to take up the opportunity.
In 1686, Robert Thompson met Gabriel Bernor and learned that he was seeking an area where his countrymen, who had fled their native France because of the Edict of Nantes, were desirous of a place to live. Their main concern was to settle in a place that would allow them freedom of worship. New Oxford, as it was the so-named, at that time included the larger part of Charlton, one-fourth of Auburn, one-fifth of Dudley and several square miles of the northeast portion of Southbridge as well as the easterly ares now known as Webster.
Joseph Dudley's assessment that the area was capable of a good settlement probably was based on the idea of the meadows already established along with the plains, ponds, brooks and rivers. Meadows were a necessity as they provided hay for animal feed and other uses by the settlers. The French River tributary books and streams provided a good source for fishing and hunting. There were open areas on the plains as customarily in November of each year, the Indians burnt over areas to keep them free of underwood and brush. It appeared then that this area was ready for settling.
The first seventy-five years of the settling of the Town of Oxford originally known as Manchaug, embraced three different cultures. The Indians were known to be here about 1656 when the Missionary, John Eliott and his partner Daniel Gookin visited in the praying towns. Thirty years later, in 1686, the Huguenots walked here from Boston under the guidance of their leader Isaac Bertrand DuTuffeau. The Huguenot's that arrived were not peasants, but were acknowledged to be the best Agriculturist, Wine Growers, Merchant's, and Manufacter's in France. There were 30 families consisting of 52 people. At the time of their first departure (10 years), due to Indian insurrection, there were 80 people in the group, and near their Meetinghouse/Church was a Cemetery that held 20 bodies. In 1699, 8 to 10 familie's made a second attempt to re-settle, failing after only four years, with the village being completely abandoned in 1704.
The English colonist made their way here in 1713 and established what has become a permanent settlement.
"""
All that was left of the fort was a crumbling stone wall that would have been the base of a higher wooden wall according to a picture of a model (I didn't think to get a shot of that myself). Only trees and brush remain where the multi-story main wooden building was.
This story has so many echoes in the present:
- The rich colonialists from Boston & London agree to settle the land, buying/taking land "rights" from the colonial British court that claimed jurisdiction without actually having control of the land. Whether the sponsors ever actually visited the land themselves I don't know. They surely profited somehow, whether from selling on the land rights later or collecting taxes/rent or whatever, by they needed poor laborers to actually do the work of developing the land (& driving out the original inhabitants, who had no say in the machinations of the Boston court).
- The land deal was on condition that there capital-holders who stood to profit would find settlers to actually do the work of colonizing. The British crown wanted more territory to be controlled in practice not just in theory, but they weren't going to be the ones to do the hard work.
- The capital-holders actually failed to find enough poor suckers to do their dirty work for 4 years, until the Huguenots, fleeing religious persecution in France, were desperate enough to accept their terms.
- Of course, the land was only so ripe for settlement because of careful tending over centuries by the natives who were eventually driven off, and whose land management practices are abandoned today. Given the mention of praying towns (& dates), this was after King Phillip's war, which resulted in at least some forced resettlement of native tribes around the area, but the descendants of those "Indians" mentioned in this sign are still around. For example, this is the site of one local band of Nipmuck, whose namesake lake is about 5 miles south of the fort site: #LandBack.

This https://arxiv.org/abs/2310.13245 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

MultiDLO: Simultaneous Shape Tracking of Multiple Deformable Linear Objects with Global-Local Topology Preservation
MultiDLO is a real-time algorithm for estimating the shapes of multiple, intertwining deformable linear objects (DLOs) from RGB-D image sequences. Unlike prior methods that track only a single DLO, MultiDLO simultaneously handles several objects. It uses the geodesic distance in the Global-Local Topology Preservation algorithm to define both inter-object identity and intra-object topology, ensuring entangled DLOs remain distinct with accurate local geometry. The MultiDLO algorithm is demonstrat…

Sources: Byron Allen takes substantial steps toward selling all of his local TV stations, including those affiliated with ABC, CBS, Fox, and NBC in 24 markets (Matthew Keys/Multicast News)
https://multicastnews.com/p/exclusive-byron-allen-selling-off

Exclusive: Byron Allen is selling his local TV stations
Allen has received offers for some or all of his local TV station portfolio; a divestiture allows Allen Media Group to pay down existing debt, rather than refinance it.

Local Ambiguity Shaping for Doppler-Resilient Sequences Under Spectral and PAPR Constraints
Shi He, Lingsheng Meng, Yao Ge, Yong Liang Guan, David Gonz\'alez G., Zilong Liu
https://arxiv.org/abs/2506.01637

Local Ambiguity Shaping for Doppler-Resilient Sequences Under Spectral and PAPR Constraints
This paper focuses on designing Doppler-resilient sequences with low local Ambiguity Function (AF) sidelobes, subject to certain spectral and Peak-to-Average Power Ratio (PAPR) constraints. To achieve this, we propose two distinctoptimization algorithms: (i) an Alternating Minimization (AM) algorithm for superior Weighted Peak Sidelobe Level (WPSL) minimization, and (ii) a low-complexity Augmented Lagrangian-assisted Majorization Minimization (ALaMM) algorithm with effective WPSL suppression. T…

Local laws and spectral properties of deformed sparse random matrices
Ji Oon Lee, Inyoung Yeo
https://arxiv.org/abs/2507.02298 https://

Local laws and spectral properties of deformed sparse random matrices
We consider deformed sparse random matrices of the form $H= W+ λV$, where $W$ is a real symmetric sparse random matrix, $V$ is a random or deterministic, real, diagonal matrix whose entries are independent of $W$, and $λ= O(1) $ is a coupling constant. Under mild assumptions on the matrix entries of $W$ and $V$, we prove local laws for $H$ that compares the empirical spectral measure of it with a refined version of the deformed semicircle law. By applying the local laws, we also prove several…

“‘It’s very difficult to not take corporate money … we’ve hired grant writers who have asked, “Well, how about Bank of America, how about Apple?” How about no,’ laughed Sullivan, who explained, ‘Even if a sponsor never asks you to edit any of your work, you are going to be censoring yourself, like, “If we say this, maybe they won’t give us money next year.”’”

#Python Friday #277: Access Local #LLMs Through LM Studio
https://pythonfriday.dev/2025/05/277-a

#277: Access Local LLMs Through LM Studio - Python Friday
None

Tor algebra of local rings with decomposable maximal ideal
Saeed Nasseh, Maiko Ono, Yuji Yoshino
https://arxiv.org/abs/2507.01784 https://

Tor algebra of local rings with decomposable maximal ideal
Let $(R,{\frak{m}}_R)$ be a commutative noetherian local ring. Assuming that ${\frak{m}}_R=$$I\oplus J$ is a direct sum decomposition, where $I$ and $J$ are non-zero ideals of $R$, we describe the structure of the Tor algebra of $R$ in terms of the Tor algebras of the rings $R/I$ and $R/J$.

This https://arxiv.org/abs/2505.02927 has been replaced.
initial toot: https://mastoxiv.page/@arX…

The Physics of Local Optimization in Complex Disordered Systems
Limited resources motivate decomposing large-scale problems into smaller, "local" subsystems and stitching together the so-found solutions. We explore the physics underlying this approach and discuss the concept of "local hardness", i.e., complexity from the local solver perspective, in determining the ground states of both P- and NP-hard spin-glasses and related systems. Depending on the model considered, we observe varying scaling behaviors in how errors associated with local predictions deca…

A $\mathcal{CR}$-rotated $Q_1$ nonconforming finite element method for Stokes interface problems on local anisotropic fitted mixed meshes
Geng Chenchen, Hua Wang, Fengren Zou
https://arxiv.org/abs/2507.02741

A $\mathcal{CR}$-rotated $Q_1$ nonconforming finite element method for Stokes interface problems on local anisotropic fitted mixed meshes
We propose a new nonconforming finite element method for solving Stokes interface problems. The method is constructed on local anisotropic mixed meshes, which are generated by fitting the interface through simple connection of intersection points on an interface-unfitted background mesh, as introduced in \cite{Hu2021optimal}. For triangular elements, we employ the standard $\mathcal{CR}$ element; for quadrilateral elements, a new rotated $Q_1$-type element is used. We prove that this rotated $Q…

8 Affordable Ways to Support Local Artists & Musicians
#SupportArt
https://muz4now.com/2017/8-affordable-ways-support-local-artists/

8 Affordable Ways to Support Local Artists
Stan Stewart - @muz4now

This https://arxiv.org/abs/2505.20384 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes
Hall conductivities are important characterizations of phases of matter. It is known that nonzero Hall conductivities are difficult to realize in local commuting projector lattice models due to no-go theorems in (2+1)D. In this work we construct local commuting projector models in (2+1)D and (3+1)D with nonzero generalized Hall conductivities for ordinary and higher-form continuous symmetries on tensor product Hilbert space of finite local dimension. The model is given by a standard $\mathbb{Z}…

I got an email from my local salon saying the stylist who cuts my hair is no longer there and my appointment is canceled so I guess I just have long hair now...

Local dark matter density from Gaia DR3 K-dwarfs using Gaussian processes
Laurin S\"oding, Ruben Bartel, Philipp Mertsch
https://arxiv.org/abs/2506.02956

Local dark matter density from Gaia DR3 K-dwarfs using Gaussian processes
Modern astrophysical surveys have produced a wealth of data on the positions and velocities of stars in the Milky Way with varying accuracies. An ever-increasing detail in observational data calls for more complex physical models and in turn more sophisticated statistical methods to extract information. We perform a vertical Jeans analysis, including a local approximation of the tilt term, using a sample of $200\,000$ K-dwarf stars from the Gaia DR3 catalogue. After combination with the Survey-…

Recommending Variable Names for Extract Local Variable Refactorings
Taiming Wang, Hui Liu, Yuxia Zhang, Yanjie Jiang
https://arxiv.org/abs/2507.00413 https…

Recommending Variable Names for Extract Local Variable Refactorings
Extract local variable is one of the most popular refactorings, and most IDEs and refactoring tools provide automated support for this refactoring. However, we find approximately 70% of the names recommended by these IDEs are different from what developers manually constructed, adding additional renaming burdens to developers and providing limited assistance. In this paper, we introduce VarNamer, an automated approach designed to recommend variable names for extract local variable refactorings.…

As the Senate weighs possible changes to the state and local tax (SALT) deduction cap as part of the tax portion of the "big, beautiful bill,"
House Republicans from blue states are already threatening to derail the bill's prospects.
"Let's be clear — no SALT, no deal," New York Republican Mike Lawler said Wednesday in a post on X

Trump admin live updates: Trump signs proclamation banning travel from 12 countries
The president cited national security concerns for enacting the ban.

Does social media influence local elected leaders? A study of online engagement methods through the lens of cycling policymaking in the United Kingdom
https://www.tandfonline.com/doi/full/10.1080/03003930.2025.2500932

Get me out of this hole: a profile likelihood approach to identifying and avoiding inferior local optima in choice models
Stephane Hess, David Bunch, Andrew Daly
https://arxiv.org/abs/2506.02722

Get me out of this hole: a profile likelihood approach to identifying and avoiding inferior local optima in choice models
Choice modellers routinely acknowledge the risk of convergence to inferior local optima when using structures other than a simple linear-in-parameters logit model. At the same time, there is no consensus on appropriate mechanisms for addressing this issue. Most analysts seem to ignore the problem, while others try a set of different starting values, or put their faith in what they believe to be more robust estimation approaches. This paper puts forward the use of a profile likelihood approach t…

Support Local Journalism
What local journalism DOES
- Connects you to your community
- Lifts marginalized voices
- Shines a light on injustice
Hear from 4 editors of exceptional news orgs. at our free online panel: July 17 @7pm ET
https://www.mobilize.us/mediademocracyproject/event/795861/
We created a directory to help you find local news outlets in your area worth reading and supporting.
https://tiny.cc/localdirectory
2/2

Me: “My eyes are itchy and puffy”
Wife: “I’ve scheduled an appointment with the coroner and local funeral home”
Me: 💀

A note on the Greek letter elements of the homotopy of the $L_n$-local spheres
Ryo Kato, Katsumi Shimomura, Mao-no-suke Shimomura
https://arxiv.org/abs/2507.02155

A note on the Greek letter elements of the homotopy of the $L_n$-local spheres
Let $BP$ denote the Brown-Peterson spectrum at a prime $p$, whose homotopy groups are isomorphic to the polynomial algebra generated by elements $v_i$'s for $i\ge 1$. We consider the homotopy groups of the $v_n^{-1}BP$-localized sphere spectrum $L_nS^0$ with $n^2\le 2p-1$, and show that the groups contain the $n$-th Greek letter family. For the proof of this, we further show the existence of the $v_n^{-1}BP$-localized Smith-Toda spectrum $W_n$ for the case $n^2\le 2p-1$. If the Smith-Toda spect…

This https://arxiv.org/abs/2505.04316 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

On local fields invariant under the action of topological defects
In the context of rational conformal field theories (RCFT) we look into the problem of constructing and classifying pairs consisting of a local operator and a topological defect which commutes or anticommutes with it. We discuss the bulk and boundary versions of the problem. In the latter one considers a conformal boundary condition, a boundary operator on it and a junction with a topological defect. In the case of the charge conjugation modular invariant commuting configurations in each proble…

Now suppose that the student in question is the child of an influential local politician…
All of this is of course completely hypothetical, but things like this do happen, and they can quickly get out of hand. So, better to be prepared! □
#AcademicChatter

Now suppose that the student in question is the child of an influential local politician…
All of this is of course completely hypothetical, but things like this do happen, and they can quickly get out of hand. So, better to be prepared! □
#AcademicChatter

Me and forty thousand of my friends about to run 12 kilometers. Gotta love the local semi-holiday

"This breakthrough enables each pixel of an OLED display to simultaneously emit different sounds, essentially allowing the display to function as a multichannel speaker array"
https://www.sciencedaily.com/releases/2025/05/250521125055.htm

The Acorn, our local newspaper, had a nice article on CVARC's Field Day...in the first photo, those are phone stations on the right, digital on the left, and CW operators in the next tent in the distance. I try to keep the digital and CW operators separated, because...well, if you know, you know. :wink:
https://www.

I remain foxed (pun intended) that Firefox still refuses to connect to an IoT device on my local IPv4 subnet unless that device supports TLS (HTTPS).
And I am further foxed that among the possible reasons for that refusal it does not list the possibility that the local device does not support HTTPS.
Once again I have to revert to another browser to do something that Firefox ought to be able to do (and once was able to do.)

Mitigating Data Poisoning Attacks to Local Differential Privacy
Xiaolin Li, Ninghui Li, Boyang Wang, Wenhai Sun
https://arxiv.org/abs/2506.02156 https://…

Mitigating Data Poisoning Attacks to Local Differential Privacy
The distributed nature of local differential privacy (LDP) invites data poisoning attacks and poses unforeseen threats to the underlying LDP-supported applications. In this paper, we propose a comprehensive mitigation framework for popular frequency estimation, which contains a suite of novel defenses, including malicious user detection, attack pattern recognition, and damaged utility recovery. In addition to existing attacks, we explore new adaptive adversarial activities for our mitigation de…

Researchers found that both #Meta snd #Yandex link(ed) IDs between browsers and their native apps by local communication on #Android devices.
E.g. the

This https://arxiv.org/abs/2404.04599 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Local Test for Unitarily Invariant Properties of Bipartite Quantum States
We study the power of local test for bipartite quantum states. Our central result is that, for properties of bipartite pure states, unitary invariance on one part implies an optimal (over all global testers) local tester acting only on the other part. As an application, we show that - Purified samples offer no advantage in property testing of mixed states. - A matching lower bound $Ω(r^2/\varepsilon^2)$ for testing the Schmidt rank of bipartite states with perfect completeness, settling an…

Turbulence in Simulated Local Cluster Analogs: one-to-one comparisons between SLOW and XRISM/Hitomi
Frederick Groth, Milena Valentini, Benjamin A. Seidel, Stephan Vladutescu-Zopp, Veronica Biffi, Klaus Dolag, Jenny G. Sorce
https://arxiv.org/abs/2507.02041

Turbulence in Simulated Local Cluster Analogs: one-to-one comparisons between SLOW and XRISM/Hitomi
The XRISM Resolve X-ray spectrometer allows to gain detailed insight into gas motions of the intra cluster medium (ICM) of galaxy clusters. Current simulation studies focus mainly on statistical comparisons, making the comparison to the currently still small number of clusters difficult due to unknown selection effects. This study aims to bridge this gap, using simulated counterparts of Coma, Virgo, and Perseus from the SLOW constrained simulations. These clusters show excellent agreement in th…

One factor was important to me - local versus conglomerate. One of the companies, as highly rated as our choice, operates in 4 province. They've grown by buying smaller firms for customers and technicians. The sales rep was knowledgeable but his process felt slick and formulaic. Our chosen firm is large, more than 30 service people, and the owner is still active in the business. Our salesperson spent a lot of time asking questions and put together the quote in a more freestyle approach.

Fantastic Flips and Where to Find Them: A General Framework for Parameterized Local Search on Partitioning Problem
Niels Gr\"uttemeier, Nils Morawietz, Frank Sommer
https://arxiv.org/abs/2506.24001

Fantastic Flips and Where to Find Them: A General Framework for Parameterized Local Search on Partitioning Problem
Parameterized local search combines classic local search heuristics with the paradigm of parameterized algorithmics. While most local search algorithms aim to improve given solutions by performing one single operation on a given solution, the parameterized approach aims to improve a solution by performing $k$ simultaneous operations. Herein, $k$ is a parameter called search radius for which the value can be chosen by a user. One major goal in the field of parameterized local search is to outlin…

The Local Structure Theorem for Graph Minors with Finite Index
Christophe Paul, Evangelos Protopapas, Dimitrios M. Thilikos, Sebastian Wiederrecht
https://arxiv.org/abs/2507.02769

The Local Structure Theorem for Graph Minors with Finite Index
The Local Structure Theorem (LST) for graph minors roughly states that every $H$-minor free graph $G$ that contains a sufficiently large wall $W$, there is a set of few vertices $A$ such that, upon removing $A$, the resulting graph $G':=G - A$ admits an "almost embedding" $δ$ into a surface $Σ$ in which $H$ does not embed. By almost embedding, we mean that there exists a hypergraph $\mathcal{H}$ whose vertex set is a subset of the vertex set of $G$ and an embedding of $\mathcal{H}$ in $Σ$ su…

It’s not like PA has any history of needing such alarms… https://epistolary.org/@vees/114616119029931607

Rob Carlson :ally: :BLM: (@vees@epistolary.org)
Attached: 1 image Neighbor on local Facebook group savaged for complaining about “excessive” semi-annual nuclear power plant alert siren network testing.

D-wave condensates and the landscape of the 2D Hubbard model
Kazue Matsuyama, Jeff Greensite
https://arxiv.org/abs/2507.01280 https://

D-wave condensates and the landscape of the 2D Hubbard model
We consider BCS-like states in the 2D Hubbard model which, starting from some arbitrary point in field space in the neighborhood of a Hartree-Fock ground state, are relaxed within that BCS ansatz to local minima of the energy. As in the Hartree-Fock approximation there are a vast number of local minima. What is new, and unlike the conventional Hartree-Fock states, is that there is a region in parameter (coupling-density) space, where these local minima are associated with d-wave condensates.

Forgot to post yesterday’s sourdough blueberry pancakes! Eggs bacon tea coffee. Work and a bike ride, then we played mahjongg in the evening at our local watering hole. #TogetherBreakfast https://photos.app.goo.gl/R8kr3rQTSq8Mt5zh9

"Reform’s Clean Energy Crackdown Would Cost 60,000 Jobs and Raise Bills, Says Study"
#UK #UnitedKingdom #Climate

Reform’s Clean Energy Crackdown Would Cost 60,000 Jobs and Raise Bills, Says Study
Reform UK’s policies to “scrap net zero” would cost more than 60,000 jobs and wipe £92 billion off the UK economy, according to a new study. Nigel Farage’s party — which took control of 10 councils in the recent local elections — this week claimed that the government could save £45 billion every year by […]

Conservative Arizona Supreme Court Justice Clint Bolick has a warning for America (Taylor Seely/Arizona Republic)
https://www.azcentral.com/story/news/local/arizona/2025/07/03/arizona-supreme-court-justice-warning/84290154007/
http://www.memeorandum.com/250703/p57#a250703p57

Antenna Q-Factor Topology Optimization with Auxiliary Edge Resistivities
Stepan Bosak, Miloslav Capek, Jiri Matas
https://arxiv.org/abs/2506.00595 https://…

Antenna Q-Factor Topology Optimization with Auxiliary Edge Resistivities
This paper presents a novel bi-level topology optimization strategy within the method-of-moments paradigm. The proposed approach utilizes an auxiliary variables called edge resistivities related to the Rao-Wilton-Glisson method-of-moments basis functions, for a definition of a fast local optimization algorithm. The local algorithm combines automatic differentiation with adaptive gradient descent. A Bayesian optimization scheme is applied on top of the local algorithm to search for an optimum po…

"You must have a market for interesting jobs, good housing, and a market to switch partners. Because people do that too"
#sovereignity #North

"Despite broadcasts on television from local supremacist groups such as the North Alabama White Citizens Council warning that rock and roll 'brings the races together,' [Little] Richard's popularity was helping to shatter the myth that black performers could not successfully perform at 'white-only venues' especially in the South, where racism was most overt."

https://bsky.app/profile/indivisiblepaplus.bsky.social/post/3lqo5d6ugvk23
From my local Indivisible group in Palo Alto: And Now for Something Completely Different ...

Flux of Extragalactic Dark Matter in Direct Detection Experiments
Shokhruz Kakharov, Abraham Loeb
https://arxiv.org/abs/2507.01190 https://

Flux of Extragalactic Dark Matter in Direct Detection Experiments
We calculate the contribution of extragalactic dark matter to the local dark matter density and flux in the Milky Way. By analyzing the Galactic escape velocity as a function of direction, we establish the criterion for separating dark matter particles bound to the Milky Way and those originating from the Local Group environment. Our analysis reveals that approximately 25% of dark matter particles in the Solar neighborhood have an extragalactic origin, contributing nearly 38% of the total mass …

This really bums me out. JD Twitch’s mixtapes are legendary. Much respect and admiration for him donating all the proceeds to a local food bank. https://www.theguardian.com/music/2025/jul/03/jd-twitch-of-scottish-…

From this year on, ESWC will be under the umbrella of SWSA, the Semantic Web Science Association, to secure financial sustainability for the upcoming years after its previous supporting organisation STI was dissolved in 2023. Basics about the transition are given by Elena Simperl, president of SWSA.
https://swsa.semanticweb.org/

Flat tire. Had to wait for the rescue brigade (wife in station wagon).
#bike

A refinement of the Lorentz local field expression with impact on the Clausius-Mossotti and Lorentz-Lorenz models
Jeroen van Duivenbode, Anne-Jans Faber
https://arxiv.org/abs/2506.01993

A refinement of the Lorentz local field expression with impact on the Clausius-Mossotti and Lorentz-Lorenz models
In the 19th century Mossotti and Clausius formulated an expression that relates electrical permittivity of a dielectric to the product of molecular polarizability and number density. Lorenz and Lorentz extended the use of that expression to also cover the dielectric s refractive index. These expressions successfully predict the change of the dielectric s permittivity and refractive index as a function of a wide range of its number density, using the consideration that molecular polarizability s…

This https://arxiv.org/abs/2309.15174 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

A stochastic explanation for observed local-to-global foraging states in Caenorhabditis elegans
Abrupt changes in behavior can often be associated with changes in underlying behavioral states. When placed off food, the foraging behavior of C. elegans can be described as a change between an initial local-search behavior characterized by a high rate of reorientations, followed by a global-search behavior characterized by sparse reorientations. This is commonly observed in individual worms, but when numerous worms are characterized, only about half appear to exhibit this behavior. We propose…

Intrinsic local Gauss's law preserving PIC method: A self-consistent field-particle update scheme for plasma simulations
Zhonghua Qiao, Zhenli Xu, Qian Yin, Shenggao Zhou
https://arxiv.org/abs/2506.02407

Intrinsic local Gauss's law preserving PIC method: A self-consistent field-particle update scheme for plasma simulations
In order to perform physically faithful particle-in-cell (PIC) simulations, the Gauss's law stands as a critical requirement, since its violation often leads to catastrophic errors in long-term plasma simulations. This work proposes a novel method that intrinsically enforces the Gauss's law for the Vlasov-Ampère/Vlasov-Poisson system without requiring auxiliary field corrections or specialized current deposition techniques. The electric field is managed to get updated locally and consistently …

The effect of local magnetic fields in quiet regions of stellar atmospheres simulated with MANCHA
Andrea Perdomo Garc\'ia, Nikola Vitas, Elena Khomenko, Manuel Collados
https://arxiv.org/abs/2507.00636

The effect of local magnetic fields in quiet regions of stellar atmospheres simulated with MANCHA
Our aim is to characterize the effects of the local magnetic fields in quiet regions of stellar atmospheres. We compute magneto-hydrodynamic and purely hydrodynamic simulations of G2V, K0V and M2V star. The magnetic simulations are started from the hydrodynamical ones, adding the Biermann battery term in the induction equation to produce a magnetic seed, that is enhanced by the action of the small-scale dynamo. Once the magnetic field is saturated, we compare the simulations with and without ma…

Customized Exploration of Landscape Features Driving Multi-Objective Combinatorial Optimization Performance
Ana Nikolikj, Gabriela Ochoa, Tome Eftimov
https://arxiv.org/abs/2507.01638

Customized Exploration of Landscape Features Driving Multi-Objective Combinatorial Optimization Performance
We present an analysis of landscape features for predicting the performance of multi-objective combinatorial optimization algorithms. We consider features from the recently proposed compressed Pareto Local Optimal Solutions Networks (C-PLOS-net) model of combinatorial landscapes. The benchmark instances are a set of rmnk-landscapes with 2 and 3 objectives and various levels of ruggedness and objective correlation. We consider the performance of three algorithms -- Pareto Local Search (PLS), Glo…

A non-local estimator for locally stationary Hawkes processes
Thomas Deschatre, Pierre Gruet, Antoine Lotz
https://arxiv.org/abs/2506.02631 https://…

A non-local estimator for locally stationary Hawkes processes
We consider the problem of estimating the parameters of a non-stationary Hawkes process with time-dependent reproduction rate and baseline intensity. Our approach relies on the standard maximum likelihood estimator (MLE), coinciding with the conventional approach for stationary point processes characterised by [Ogata, 1978]. In the fully parametric setting, we find that the MLE over a single observation of the process over $[0, T]$ remains consistent and asymptotically normal as $T \to \infty$.…

New insights into the cavitation erosion by bubble collapse at moderate stand-off distances
Zhesheng Zhao, Shuai Li, Chengwang Xiong, Pu Cui, Shiping Wang, A-Man Zhang
https://arxiv.org/abs/2506.01286

New insights into the cavitation erosion by bubble collapse at moderate stand-off distances
Non-spherical bubble collapses near solid boundaries, generating water hammer pressures and shock waves, were recognized as key mechanisms for cavitation erosion. However, there is no agreement on local erosion patterns, and cavitation erosion damage lacks quantitative analysis. In our experiments, five distinct local erosion patterns were identified on aluminum sample surfaces, resulting from the collapse of laser-induced cavitation bubbles at moderate stand-off distances of $0.4\leγ\le2.2$, …

A look at The Daily, which runs 14 UK lifestyle titles with a model where contributors keep the first £500 and then split revenue 50/50 with founder Marc Astley (Killian Faith-Kelly/Press Gazette)
https://pressgazette.co.uk/p…

Former editor switches from local news to lifestyle with launch of 14 titles
Marc Astley's Daily model offers his editors a 50/50 revenue share.

This https://arxiv.org/abs/2402.16808 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On tori periods of Weil representations of unitary groups
We determine the restriction of Weil representations of unitary groups to maximal tori. In the local case, we show that the Weil representation contains a pair of compatible characters if and only if a root number condition holds. In the global case, we show that a torus period corresponding to a maximal anisotropic torus of the global theta lift of a character does not vanish if and only if the local condition is satisfied everywhere and a central value of an $L$-function does not vanish. Our …

A unifying approach to self-organizing systems interacting via conservation laws
Frank Barrows, Guanming Zhang, Satyam Anand, Zizi Chen, Jonathan Lin, Amman Desai, Stefano Martiniani, Francesco Caravelli
https://arxiv.org/abs/2507.02575

A unifying approach to self-organizing systems interacting via conservation laws
We present a unified framework for embedding and analyzing dynamical systems using generalized projection operators rooted in local conservation laws. By representing physical, biological, and engineered systems as graphs with incidence and cycle matrices, we derive dual projection operators that decompose network fluxes and potentials. This formalism aligns with principles of non-equilibrium thermodynamics and captures a broad class of systems governed by flux-forcing relationships and local c…

DuAL-Net: A Hybrid Framework for Alzheimer's Disease Prediction from Whole-Genome Sequencing via Local SNP Windows and Global Annotations
Eun Hye Lee, Taeho Jo
https://arxiv.org/abs/2506.00673

DuAL-Net: A Hybrid Framework for Alzheimer's Disease Prediction from Whole-Genome Sequencing via Local SNP Windows and Global Annotations
Alzheimer's disease (AD) dementia is the most common form of dementia. With the emergence of disease-modifying therapies, predicting disease risk before symptom onset has become critical. We introduce DuAL-Net, a hybrid deep learning framework for AD dementia prediction using whole genome sequencing (WGS) data. DuAL-Net integrates two components: local probability modeling, which segments the genome into non-overlapping windows, and global annotation-based modeling, which annotates SNPs and reo…

Will the NFL ever offer 'Sunday Ticket' on a single-team basis? Sports Media Mailbag (Part 2!) https://www.nytimes.com/athletic/6460554/2025/07/03/nfl-sunday-ticket-sports-media-mailbag/

NYT: DOJ Is Mulling Criminal Charges For Non-MAGA State And Local Election Officials Over QAnon Idiocy - Joe.My.God.
https://www.joemygod.com/2025/07/nyt-doj-is-mulling-criminal-charges-for-non-maga-state-and-local-election-officials-over-qanon-idiocy/

Tunnelling Through Time Series: A Probabilistic Visibility Graph for Local and Global Pattern Discovery
Roberto Sotero, Jose Sanchez-Bornot
https://arxiv.org/abs/2507.01247

Tunnelling Through Time Series: A Probabilistic Visibility Graph for Local and Global Pattern Discovery
The growing availability of high-resolution, long-term time series data has highlighted the need for methods capable of capturing both local and global patterns. To address this, we introduce the Probabilistic Visibility Graph (PVG), a novel approach inspired by the quantum tunnelling phenomenon. The PVG extends the classical Visibility Graph (VG) by introducing probabilistic connections between time points that are obstructed in the VG due to intermediate values. We demonstrate the PVG's effec…

@… I'm a huge fan of Publii, and have used it for most of my websites: https://getpublii.com/
It has a local desktop app that you can use to edit your posts and …

A Hybrid Approach to Indoor Social Navigation: Integrating Reactive Local Planning and Proactive Global Planning
Arnab Debnath, Gregory J. Stein, Jana Kosecka
https://arxiv.org/abs/2506.02593

A Hybrid Approach to Indoor Social Navigation: Integrating Reactive Local Planning and Proactive Global Planning
We consider the problem of indoor building-scale social navigation, where the robot must reach a point goal as quickly as possible without colliding with humans who are freely moving around. Factors such as varying crowd densities, unpredictable human behavior, and the constraints of indoor spaces add significant complexity to the navigation task, necessitating a more advanced approach. We propose a modular navigation framework that leverages the strengths of both classical methods and deep rei…

As the country tumbles towards fascism, some members of the U.S. military have struggled with a choice:
⭐️defy illegal orders, or participate in the dismantling of American democracy.
In June
-- over the objections of local leaders, including Gov. Gavin Newsom
-- Donald Trump called up the National Guard and the U.S. Marines to quell protests in Los Angeles over immigration raids.
🔥That month, calls to the GI Rights Hotline spiked.
⚠️The hotline provides info…

Calls to GI Hotlines Rise as Service Members Consider Defying Trump’s Orders
Conscientious objector applications surge under Trump as military members fear becoming “the saber that he’s rattling.”…

Quadratic Segre indices
Felipe Espreafico, Stephen McKean, Sabrina Pauli
https://arxiv.org/abs/2506.01547 https://arxiv.org/pdf/2506.…

Quadratic Segre indices
We prove that the local Euler class of a line on a degree $2n-1$ hypersurface in projective $n+1$ space is given by a product of indices of Segre involutions. Segre involutions and their associated indices were first defined by Finashin and Kharlamov over the reals. Our result is valid over any field of characteristic not 2 and gives an infinite family of problems in enriched enumerative geometry with a shared geometric interpretation for the local type.

Me and forty thousand of my friends about to run 12 kilometers. Gotta love the local semi-holiday

LFG
The proposed transit sales tax is “‘problematic for two reasons; one, it does not fully fund the operational shortfall. It’s also a politically vulnerable ballot measure,’ said Ryan Williams, the campaign director for Bay Area Forward, founded this year by local transit unions.”

Local officials grow wary of helping ICE detain immigrants (Brittany Gibson/Axios)
https://www.axios.com/2025/07/02/local-officials-ice-detain-immigrants-trump
http://www.memeorandum.com/250702/p12#a250702p12

A mean field game model with non-local spatial interactions and resources accumulation
Daria Ghilli, Fausto Gozzi, Cristiano Ricci, Giovanni Zanco
https://arxiv.org/abs/2506.01200

A mean field game model with non-local spatial interactions and resources accumulation
We study a family of Mean Field Games arising in modeling the behavior of strategic economic agents which move across space maximizing their utility from consumption and have the possibility to accumulate resources for production (such as human capital). The resulting mean field game PDE system is not covered in the actual literature on the topic as it displays weaker assumptions on the regularity of the data (in particular Lipschitz continuity and boundedness of the objective are lost), state …

The luminosity history of fading local quasars over 10$^{4-5}$ years as observed by VLT/MUSE
C. Finlez, E. Treister, F. Bauer, M. Koss, W. Keel, W. Maksym, L. Sartori, G. Venturi, C. Ricci, N. Nagar, C. Riesco, Y. D\'iaz, M. Parra
https://arxiv.org/abs/2507.01115

The luminosity history of fading local quasars over 10$^{4-5}$ years as observed by VLT/MUSE
We present a comprehensive study of five nearby active galaxies featuring large (tens of kpc) extended emission-line regions (EELRs). The study is based on large-format integral field spectroscopic observations conducted with the Multi Unit Spectroscopic Explorer (MUSE) at the Very Large Telescope (VLT). The spatially resolved kinematics of the ionized gas and stellar components show signs of rotation, bi-conical outflows, and complex behavior likely associated with past interactions. Analysis …

On low-dimensional approximation of function spaces of interior regularity
S. Aziz, M. Bauer, M. Bebendorf, T. Rau
https://arxiv.org/abs/2507.02655 https:/…

On low-dimensional approximation of function spaces of interior regularity
Many elliptic boundary value problems exhibit an interior regularity property, which can be exploited to construct local approximation spaces that converge exponentially within function spaces satisfying this property. These spaces can be used to define local ansatz spaces within the framework of generalised finite element methods, leading to a better relation between dimensionality and convergence order. In this paper, we present a new technique for the construction of such spaces for Lipschit…

This https://arxiv.org/abs/2309.14792 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Exploiting Local Observations for Robust Robot Learning
While many robotic tasks can be addressed through either centralized single-agent control with full state observation or decentralized multi-agent control, clear criteria for selecting the optimal approach are lacking. This paper presents a comprehensive investigation into how multi-agent reinforcement learning (MARL) with local observations can enhance robustness in complex robotic systems compared to traditional centralized control methods. We provide both theoretical analysis and empirical v…

Local news matters more than ever.
🔍 Join us Thu, July 17 @ 7 PM ET for “Good Local News Panel: 4 outlets blooming in a hostile environment.”
Virtual FREE.
Secure your seat: #Press #Journalism
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$F$-injectivity does not imply $F$-fullness in normal domains
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
https://arxiv.org/abs/2506.00646 https:…

$F$-injectivity does not imply $F$-fullness in normal domains
We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$-injective but not $F$-full. Along the way, we find examples of two-dimensional local geometrically normal domains which are $F$-injective but not $F$-anti-nilpotent. A crucial theme of our constructions is the behavior of $F$-injectivity along a purely inseparable finite base change.

Graded representations of current Lie superalgebras $\mathfrak{sl}(1|2)[t]$
Shushma Rani, Divya Setia
https://arxiv.org/abs/2506.01134 https://

Graded representations of current Lie superalgebras $\mathfrak{sl}(1|2)[t]$
This paper is the study of finite-dimensional graded representations of current lie superalgebras $\mathfrak{sl}(1|2)[t]$. We define the notion of super POPs, a combinatorial tool to provide another parametrization of the basis of the local Weyl module given in [2]. We derive the graded character formula of local Weyl module for $\mathfrak{sl}(1|2)[t]$. Furthermore, we construct a short exact sequence of Chari-Venkatesh modules for $\mathfrak{sl}(1|2)[t]$. As a consequence, we pr…

'Needlessly reckless': Local leaders, community condemn South Park ICE raids (Jeanette Quezada/KNSD-TV)
https://www.nbcsandiego.com/news/local/community-speaks-after-ice-raids-at-south-park-italian-restaurant/3837706/
http://www.memeorandum.com/250602/p133#a250602p133

Former Senator Claire McCaskill just made a HUGE prediction:
Nathan Sage,
the Democrat running for U.S. Senate against Republican Joni Ernst,
has a real chance of flipping Iowa’s Senate seat blue!
Nathan Sage is exactly the kind of Democrat who can win Iowa.
Nathan grew up in a trailer park, served 3 tours in Iraq,
is president of his local chamber of commerce, and a working class Democrat who can take on Ernst and actually win.
Democrats MUST take…

Give now to help Nathan Sage defeat Joni Ernst and take back the Senate for Democrats!
Show your support with a contribution.

Initiative offers relief to street vendors facing hardship amid immigration crackdowns – NBC Los Angeles
https://www.nbclosangeles.com/news/local/street-vendors-immigration-relief-inland-empire/3737432/

Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients
Andrey Piatnitski, Elena Zhizhina
https://arxiv.org/abs/2506.00872

Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients
We study homogenization problem for non-autonomous parabolic equations of the form $\partial_t u=L(t)u$ with an integral convolution type operator $L(t)$ that has a non-symmetric jump kernel which is periodic in spatial variables and in time. It is assumed that the space-time scaling of the environment is not diffusive. We show that asymptotically the spatial and temporal evolutions of the solutions are getting decoupled, and the homogenization result holds in a moving frame.

A look at SFGate, which has the largest audience of any purely local US news site; EIC Grant Marek says the site has 60 employees and has "never had a layoff" (Lucy Kenningham/Press Gazette)
https://pressgazette.co.uk/pub…

How SFGATE is making local news pay and filling California's news gaps
SFGATE has the largest audience of any purely local news site in the US.

How does local journalism strengthen democracy?
- Less Polarization
- More Voting
- More Attention from Representatives
We created a directory to help you find local journalism in your area worth reading and supporting.
Attend our Good Local News event on July 17!
Online and FREE:
https://www.mobilize.us/mediademocracyproject/event/795861/
Ready to look for sources in your area? https://tiny.cc/localdirectory
2/2

This https://arxiv.org/abs/2411.15174 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Regularity for Weak Solutions to First-Order Local Mean Field Games
We establish interior regularity results for first-order, stationary, local mean-field game (MFG) systems. Specifically, we study solutions of the coupled system consisting of a Hamilton-Jacobi-Bellman equation $H(x, Du, m) = 0$ and a transport equation $-\operatorname{div}(m D_pH(x, Du, m)) = 0$ in a domain $Ω\subset \mathbb{R}^d$. Under suitable structural assumptions on the Hamiltonian $H$, without requiring monotonicity of the system, convexity of the Hamiltonian, separability in variables…

Singularities and asymptotics of solutions of the Emden-Chandrasekhar-Riccati equation
Marie-Fran\c{c}oise Bidaut-V\'eron, Laurent V\'eron
https://arxiv.org/abs/2506.01136

Singularities and asymptotics of solutions of the Emden-Chandrasekhar-Riccati equation
We study the local properties of positive solutions of the equation $-Δu+ m\abs{\nabla u}^q-e^{u}=0$ in a punctured domain $Ω\setminus\{0\}$ of $R^N$, $N\geq 2$, where $m$ is a positive parameter and $q>1$. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions. .

This https://arxiv.org/abs/2306.15210 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Finite time blow-up of non-radial solutions for some inhomogeneous Schrödinger equations
This work studies the inhomogeneous Schrödinger equation $$ i\partial_t u-\mathcal{K}_{s,λ}u +F(x,u)=0 , \quad u(t,x):\mathbb{R}\times\mathbb{R}^N\to\mathbb{C}. $$ Here, $s\in\{1,2\}$, $N>2s$ and $λ>-\frac{(N-2)^2}{4}$. The linear Schrödinger operator reads $\mathcal{K}_{s,λ}:= (-Δ)^s +(2-s)\fracλ{|x|^2}$ and the focusing source term is local or non-local $$F(x,u)\in\{|x|^{-2τ}|u|^{2(q-1)}u,|x|^{-τ}|u|^{p-2}(J_α*|\cdot|^{-τ}…