Tootfinder

Trump is weak and Putin undermines the chance for a cease-fire, something he isn't interested in everybody knows, besides Trump
https://www.bbc.com/news/articles/c4g4g5lgngvo

Ukraine denies drone attack on Putin's residence
Russia has accused Ukraine of targeting a presidential residence, which President Zelensky called "typical Russian lies".

Online gambling is a lowest common denominator entertainment for the weak-minded. Now watch Stephen / Coffeezilla because this is pure truth.
▶️ Exposing the Gambling Epidemic
https://youtube.com/watch?v=9Ii1ROzeSwU&si=-Ss_R63HrskGBuEj

GM lays off 1,700 workers making EVs and batteries in Michigan, Tennessee - Ars Technica
https://arstechnica.com/cars/2025/10/weak-ev-demand-sees-gm-lay-off-1700-workers-at-two-plants/

"As the planet warmed, politics wobbled: The defining climate moments of 2025"
#Climate #ClimateChange

How 2025 became one of the hottest and most divisive climate years
Record warming met weak political resolve as climate pressures mounted this year.

Finished "Espada - The Will of the Blade" by Anabel Cozalo.
The art is lovely, but I found the plotting/story to be a bit weak. Perhaps more pointedly, I felt like the plot setup was great but the landing was a bit off, and the telling of the story didn't nicely convey all the nuances I expect the author had in mind. Felt like a lot was left in the gutters.
#AmReading #ReadingNow

When we close streets to cars and open them up to people, we can't just leave them as-is for half a decade. We need to build infrastructure to ensure that cars *can't* come back. Otherwise, it's too tempting for drivers who see a pristine stretch of unclogged road to be like, "hey I could be breaking the speed limits or storing my car there for free!", lobby their local weak-spined politicians, and reclaim the road for SUVs.

thinking of writing a cli tool with an interactive prompt and/or tui, and I'm questioning the need for non-tui interactive mode, it feels like an artifact of the teletype era.
weak justification: tui removes information from screen, which you might need. this is not a big deal in window systems, but console ttys are still useful.
maybe instead of a full tui it can just tui the 5-6 lines it adds. this is not supposed to be doable in terminfo/curses, but everyone is ansi-termin…

F5 vulnerability highlights weak points in DHS’s CDM program
https://cyberscoop.com/f5-vulnerability-highlights-weak-points-in-dhss-cdm-program/#:~:text=F5 vulner…

F5 vulnerability highlights weak points in DHS’s CDM program
The Continuous Diagnostics and Mitigation program is oft-praised, but there are areas where it doesn’t yet excel, as a recent CISA emergency directive shows.

S&P downgrades the ability of Tether's USDT to maintain its peg to the US dollar to "weak", the lowest rating, citing exposure to high-risk assets such as BTC (Emily Nicolle/Bloomberg)
https://www.bloomberg.com/news/articles/20

Underlings are so annoying!
Sometimes you can make this problem go away by exploiting weak labor power (see: factories, agriculture, sanitation).
Sometimes you can create a toxic org culture when information •only• flows down the hierarchy, so no pushback can ever reach your sensitive ears. (Public school administrations are rife with this.)
Sometimes you can do it by making your catastrophic failures look like a string of successes to the people up the chain. (Large corporations are swimming in this.)
5/

Only weak men fear the light of transparency, like #Trump does:
Republican behind #Epstein files act responds to #Trump ‘lowlife’ taunt https://www.theguardian.com/us-news/2025/dec/27/kentucky-republican-thomas-massie-trump-epstein-files?CMP=Share_AndroidApp_Other

At a cyber con two weeks ago, someone told me with a straight face that Elon and his Silicon Valley buddies want our cyber defenses to be weak for access to all the government data for their LLMs.
The U.S. has been cutting cyber defenses as AI boosts attacks
https://www.washingtonpost.com…

The U.S. has been cutting cyber defenses as AI boosts attacks
While artificial intelligence powers the offense, defense guidance is spotty and fewer officials are in a position to help fend off hackers and spies.

Trump Has the Look of the Weak Horse; People Are Acting Accordingly (Josh Marshall/Talking Points Memo)
https://talkingpointsmemo.com/edblog/trump-has-the-look-of-the-weak-horse-people-are-acting-accordingly
http://www.memeorandum.com/251117/p104#a251117p104

Ashton Jeanty struggles to find success behind Raiders' weak offensive line https://www.foxsports.com/articles/nfl/ashton-jeanty-struggles-to-find-success-behind-raiders-weak-offensive-line

A look at CBS News in the first weeks of Bari Weiss as EIC: weak 60 Minutes ratings, union members' concerns, outreach for potential new anchors, and more (Brian Steinberg/Variety)
https://variety.com/2025/tv/news/bari-weiss-early-cbs-n…

Bari Weiss' Early Weeks at CBS News: '60 Minutes' Miss, Talent Hunt
Bari Weiss has been active in her early weeks at CBS News, but it's not clear her proclivity for snaring newsmakers will translate into revenue

Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
Yong Lu, Milan Pokorny
https://arxiv.org/abs/2510.10096 https://

Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
We consider a model of a viscoelastic compressible flow in $R^{3}$ which is additionally shear thickening (the stress tensor corresponds to the power law model, however, the divergence of the velocity is due to the model bounded). We prove existence of a weak solution to this model provided the growth in the power law model is larger or equal than $\frac 52$. We also prove that any sufficiently smooth solution of this model is unique in the class of weak solution, provided extra integrability o…

🇺🇦 Auf radioeins läuft...
Nation of Language:
🎵 Weak In Your Light
#NowPlaying #NationofLanguage
https://longdissonance.bandcamp.com/track/nation-of-language-weak-in-your-light
https://open.spotify.com/track/4odb2UIgc0u22MNV7p4iQq

[Earth] Core [magnetic] field changes from eleven years of Swarm satellite observations: #MagneticField: https://www.esa.int/Applications/Observing_the_Earth/FutureEO/Swarm/Swarm_reveals_growing_weak_spot_in_Earth_s_magnetic_field

On a Conjecture of Dyer on the Join in the Weak Order of a Coxeter group
Riccardo Biagioli, Lorenzo Perrone
https://arxiv.org/abs/2510.11446 https://arxiv.…

On a Conjecture of Dyer on the Join in the Weak Order of a Coxeter group
In one of his papers on the weak order of Coxeter groups, Dyer formulates several conjectures. Among these, one affirms that the extended weak order forms a lattice, while another offers an algebraic-geometric description of the join of two elements in this poset. The former was recently proven for affine types by Barkley and Speyer. In this paper, we establish the latter for Coxeter groups of types $A$ and $I$. Moreover, we verified the validity of this conjecture for types $H_3$ and $F_4$ thr…

pitting the hardcore christian-leaning conservatives against the alpha male-leaning conservatives by framing christmas as something for weak needy pussies who will grow up to be welfare queens from receiving gifts as a child

Weak Hopf algebra actions as fusion category actions
Alexander Betz
https://arxiv.org/abs/2510.07114 https://arxiv.org/pdf/2510.07114

Weak Hopf algebra actions as fusion category actions
This article develops the theory of fusion categories acting on algebras. We will demonstrate that weak Hopf algebra actions on algebras correspond to specific actions of fusion categories. As an application of this theory, we introduce a family of filtered actions of weak Hopf algebras on the path algebra, and for weak Hopf algebras whose representation categories are equivalent to $\text{PSU(2)}_{p-2}$, we describe all of the separable based fusion category actions in terms of weak Hopf algeb…

Quantaloid-enriched categories: Factorization, weak classifiers, and symmetry
Javier Guti\'errez Garc\'ia, Ulrich H\"ohle
https://arxiv.org/abs/2510.10162 https://

Quantaloid-enriched categories: Factorization, weak classifiers, and symmetry
This paper provides a comprehensive overview of some of the foundational properties of categories enriched over quantaloids, along with several new results. We demonstrate that the category whose objects are quantaloid-enriched categories and whose morphisms are left adjoint distributors admits an (epi, extremal mono)--factorization system. Furthermore, we prove that the category of cocomplete quantaloid-enriched categories satisfies the weak subobject classifier axiom, under stability conditio…

"My business isn't making any money"
❌ Weak, defeatist
"I'm running a non-profit enterprise!"
✅ Noble, purposeful

"One pretty foolproof way of encouraging right wing populism in the UK is to pretend the market requires public spending cuts when public spending levels are already weak."
mainly macro: What the call for fiscal headroom reveals
https://mainlymacro.blogspot.com/2025/

What the call for fiscal headroom reveals
  Everyone, including the IFS, is agreed that the Chancellor should in the budget create more fiscal headroom than she did previously. Rath...

From https://talkingpointsmemo.com/morning-memo/trump-gives-himself-an-enormous-out-on-the-epstein-files
I hope we're not clutching at straws and we should bear in mind that a rat is most dangerous when cornered. But still…

Ratings for Erika Kirk "town hall" pretty weak - National Zero
https://nationalzero.com/2025/12/16/ratings-for-erika-kirk-town-hall-pretty-weak/

Cheat-Penalised Quantum Weak Coin-Flipping
Atul Singh Arora, Carl A. Miller, Mauro E. S. Morales, Jamie Sikora
https://arxiv.org/abs/2510.03218 https://arx…

Cheat-Penalised Quantum Weak Coin-Flipping
Coin-flipping is a fundamental task in two-party cryptography where two remote mistrustful parties wish to generate a shared uniformly random bit. While quantum protocols promising near-perfect security exist for weak coin-flipping -- when the parties want opposing outcomes -- it has been shown that they must be inefficient in terms of their round complexity, and it is an open question of how space efficient they can be. In this work, we consider a variant called cheat-penalised weak coin-flipp…

Questing a Coherent Definition of Weak-line Quasars and its Physical Implications
Xiaoqiang Cheng, Jianfeng Wu, Qiaoya Wu
https://arxiv.org/abs/2510.08135 https://

Questing a Coherent Definition of Weak-line Quasars and its Physical Implications
Weak-line quasars (WLQs) are a subset of type 1 quasars with remarkably weak high-ionization broad emission lines but normal optical/UV continua. Using 371,091 quasars from SDSS DR16, we define WLQs by analyzing outliers in three relations: the L1350-CIV blueshift, the Baldwin effect, and the logL2500-alpha_ox. We find two CIV EW thresholds: $8.9\pm0.2$Å and $19.3\pm0.3$Å. WLQs (EW(CIV)<$8.9\pm0.2$Å) have enhanced CIV blueshifts, deviate from the Baldwin effect, and include many X-ray weak o…

Sources: Apple is delaying the release of the next version of the iPhone Air, originally planned for fall 2026, after the first model sold below expectations (The Information)
https://www.theinformation.com/articles/apple-delays-release-next-iphon…

Apple Delays Release of Next iPhone Air Amid Weak Sales
Apple is delaying the release of next year’s version of the iPhone Air, its thinnest smartphone, after the first model sold below expectations, according to three people involved in the project. Although the length of the delay remains uncertain, the product won’t be released in fall 2026 as ...

i made nixos-bite.sh https://gist.github.com/whitequark/b2ebce6ce77f4b29e37dffc4cbd45873 (from nixos-infect, by removing everything that doesn't work or i think isn't necessary)
it turns debian (only) into nixos, on both efi and non-efi systems, using a…

aiming at the neck, NixOS sinks teeth into a pale and weak Debian 13 server, sucking out all the remaining life force out of it.
aiming at the neck, NixOS sinks teeth into a pale and weak Debian 13 server, sucking out all the remaining life force out of it. - nixos-bite.sh

Construction of harmonic coordinates for weak immersions
Dorian Martino, Tristan Rivi\`ere
https://arxiv.org/abs/2510.10601 https://arxiv.org/pdf/2510.1060…

Construction of harmonic coordinates for weak immersions
We prove that any weak immersion in the critical Sobolev space $W^{\frac{n}{2}+1,2}(\mathbb{R}^n;\mathbb{R}^d)$ in even dimension $n\geq 4$, has global harmonic coordinates if its second fundamental form is small in the Sobolev space $W^{\frac{n}{2}-1,2}(\mathbb{R}^n;\mathbb{R}^d)$. This is a generalization to arbitrary even dimension $n\ge 4$ of a famous result of Müller--Sverak \cite{muller1995} for $n=2$. The existence of such coordinates is a key tool used by the authors in \cite{MarRiv202…

When Lee and Yang suggested there's a fundamental difference between left and right, Pauli wrote:
"Ich glaube aber nicht, daß der Herrgott ein schwacher Linkshänder ist."
(I do not believe that the Lord is a weak left-hander.)
Two days later, Wu's experiment showed that Lee and Yang were correct!
-- @johncarlosbaez.bsky.social

Jacopo Bertolotti (@jacopobertolotti.com)
There is a infinite number of stories about Pauli being horrible to other (especially younger) Physicists. His word carried a lot of weight, so people were either psychologically crushed, or abandoned promising research lines just because he liked to be a assh@le.

Topological weak containment
Riley Thornton
https://arxiv.org/abs/2510.10882 https://arxiv.org/pdf/2510.10882

Topological weak containment
We build on work of Elek and Zucker and develop a topological analogue of the theory of weak containment. We show that definitions in terms of local patterns, containment in ultra(co)products, and continuous model theory are all equivalent, just as in ergodic theory. And, for actions on Cantor space, we show these are all equivalent to approximate conjugacy. Restricting our attention to Cantor space, we connect this theory to questions about generic actions. We show how the shape of the space…

Weak-anti-localization-to-spin-dependent scattering at a proximity-magnetized heavy metal interface
Hisakazu Matsuki, Guang Yang, Jiahui Xu, Vitaly N. Golovach, Yu He, Jiaxu Li, Alberto Hijano, Niladri Banerjee, Iuliia Alekhina, Nadia Stelmashenko, F. Sebastian Bergeret, Jason W. A. Robinson
https://arxiv.org/abs/2510.10595

Weak-anti-localization-to-spin-dependent scattering at a proximity-magnetized heavy metal interface
A change in a materials electrical resistance with magnetic field (magnetoresistance) results from quantum interference effects and, or spin-dependent transport, depending on materials properties and dimensionality. In disordered conductors, electron interference leads to weak localization or anti-localization; in contrast, ferromagnetic conductors support spin-dependent scattering, leading to giant magnetoresistance (GMR). By varying the thickness of Au between 4 and 28 nm in a EuS/Au/EuS spin…

🇺🇦 #NowPlaying on #BBC6Music's #HuwStephens
Skunk Anansie:
🎵 Weak
#SkunkAnansie
https://ecoli1.bandcamp.com/track/skunk-anansie-weak-as-i-am
https://open.spotify.com/track/5KjdQIrQD3UBJNZfx5Qp1v

FLAMINGO: Baryonic effects on the weak lensing scattering transform
Mariia Marinichenko, Marcel P. van Daalen, Elena Sellentin, Jeger C. Broxterman, Matthieu Schaller, Joop Schaye
https://arxiv.org/abs/2510.09761

FLAMINGO: Baryonic effects on the weak lensing scattering transform
The scattering transform is a wavelet-based statistic capable of capturing non-Gaussian features in weak lensing (WL) convergence maps and has been proven to tighten cosmological parameter constraints by accessing information beyond two-point functions. However, its application in cosmological inference requires a clear understanding of its sensitivity to astrophysical systematics, the most significant of which are baryonic effects. These processes substantially modify the matter distribution o…

Me, shortly before 0500, chirpily singing along to my earphones as I make a pot of tea:
“🎶 Why don't you kill me?
I’m weak and numb and insignificant
How could I let this
Bring me back to my knees? 🎵”
#tool #undertow

STM32MP2 bringup update: after fixing some weird linker things with weak symbols that per documentation should never have worked and yet somehow never bit me until now, I have a C stub running on the M33 out of RAM (no flash boot, you have to JTAG/SWD load it for now).
It turns on three of the four LEDs on the devkit, for reasons currently unknown the fourth LED doesn't work. My only guess is that it's in the VDDIO3 domain and I might not yet have turned that on due to PMIC c…

On weak convergence of Gaussian conditional distributions
Sarah Lumpp, Mathias Drton
https://arxiv.org/abs/2510.12412 https://arxiv.org/pdf/2510.12412

On weak convergence of Gaussian conditional distributions
Weak convergence of joint distributions generally does not imply convergence of conditional distributions. In particular, conditional distributions need not converge when joint Gaussian distributions converge to a singular Gaussian limit. Algebraically, this is due to the fact that at singular covariance matrices, Schur complements are not continuous functions of the matrix entries. Our results lay out special conditions under which convergence of Gaussian conditional distributions nevertheless…

Scalar Quasinormal modes in Reissner--Nordstr\"om black holes: implications for Weak Gravity Conjecture
Giorgio Di Russo, Anna Tokareva
https://arxiv.org/abs/2510.06813 htt…

Scalar Quasinormal modes in Reissner--Nordström black holes: implications for Weak Gravity Conjecture
Microscopic charged black holes can provide possibilities to test the consistency of the effective field theory (EFT) corrections to Einstein-Maxwell theory. A particularly interesting result is fixing the sign of a certain combination of EFT couplings from the requirement that all charged black holes should be able to evaporate (Weak Gravity Conjecture). In our work, we analysed the EFT corrections to a set of zero-damping quasinormal modes (QNMs) of the scalar wave probe in a nearly extremal …

With a Champions League spot in reach, a strong case could be made to sell Salah in the January window in order to buttress the central defense.
I’m not sure it’s what I want and I would weep because I adore him as a player and a person. But #LFC are weak defensively and Salah’s impact is waning faster than his value.
Food for thought. Bitter, yes, but sometimes emotion has to be removed a…

Raiders need to lean on Ashton Jeanty vs. weak Titans run defense https://raiderswire.usatoday.com/story/sports/nfl/raiders/2025/10/11/raiders-need-to-lean-on-ashton-jeanty-vs-weak-titans-run-defense…

Graphene and thin graphite films for ultrafast optical Kerr gating at 1 GHz repetition rate under focused illumination
Amr Farrag, Assegid M. Flatae, Mario Agio
https://arxiv.org/abs/2511.17713 https://arxiv.org/pdf/2511.17713 https://arxiv.org/html/2511.17713
arXiv:2511.17713v1 Announce Type: new
Abstract: The ability to address sub-picosecond events of weak optical signals is essential for progress in quantum science, nonlinear optics, and ultrafast spectroscopy. While up-conversion and optical Kerr gating (OKG) offer femtosecond resolution, they are generally limited to ensemble measurements, making ultrafast detection in nano-optics challenging. OKG, with its broadband response and high throughput without phase-matching, is especially promising when used at high repetition rates under focused illumination.
Here, we demonstrate an ultrafast detection scheme using the third-order nonlinearity of graphene and thin graphite films, operating at 1 GHz with sub-nanojoule pulses and achieving 141 fs temporal resolution. Their exceptionally large nonlinear refractive index, orders of magnitude higher than conventional Kerr media, enhances detection efficiency at smaller thicknesses, enables sub-picosecond response, and supports broadband operation. Their atomic-scale thickness minimizes dispersion and simplifies integration with microscopy platforms, optical fibers, and nanophotonic circuits, making them a compact, practical material platform for nano-optical and on-chip ultrafast Kerr gating.
toXiv_bot_toot

Study of the two-body nonleptonic $B_{c}(2S)$ weak decays with the QCD factorization approach
Na Wang, Yueling Yang, Junfeng Sun
https://arxiv.org/abs/2510.05503 https://…

Study of the two-body nonleptonic $B_{c}(2S)$ weak decays with the QCD factorization approach
Inspired by the promising prospect of the $B_{c}(2S)$ meson at the coming HL-LHC experiments, the nonleptonic $B_{c}(2S)$ meson weak decays induced by both the $b$ and $c$ decays are investigated with the QCD factorization approach. It is found that branching ratios for the color- and CKM-favored $B_{c}(2S)$ ${\to}$ $B_{s}ρ$, $B_{s}π$ decays can reach up to ${\cal O}(10^{-9})$, which might be measurable. The $B_{c}(2S)$ decays into the final states containing one charmonium are highly suppres…

I keep coming back to the mirror dualities of the oppressed and oppressor under authoritarianism.
The oppressed is portrayed as both weak and godlike. The stereotypes are always some variation on sloth and incompetence, but yet somehow also a menace capable of destroying the "pure" society. To use the most relevant current example, Antifa being both little femme soy boys who would always get beat up by "real men" while also being an international terrorist organization on the brink of overthrowing the US government, the unarmed presence of whom makes the heavily armed agents of ICE flee for their lives. Antifa is both having absolutely no impact on ICE, and also having such an impact on ICE that the military needs to come in to protect them. The contradiction is obvious but never seems to occur to those who hold both to be true at the same time.
But few talk about the duality of the oppressor. The sovereign throughout history has always been both a ruler above the law, sometimes even the representative or incarnation of a divine force. Yet, this same superhuman/god-man is also a baby who needs constant care. This is absolutely a through line from the very earliest records of sovereign cults to modern cult leaders, CEOs, and Trump today. Power, for these people, is expressed both as the ability to force others to enact their will and in the ability to compel others to care for them. Can any of these "men" cook? Can they fix anything themselves? They are driven everywhere, cooked for all the time, constantly protected from danger. Kings are still dressed, at least for rituals. I could dissect masculinity here, but that's a whole thing.
It is as though the drive to care for our children, who must be taught to behave within acceptable norms, is hijacked by "leaders" who demand our care and attention... even at the expense of our literal children. And recently we've seen some of those very CEOs, with LLMs and return to office demands, show that their judgment is also little better than children, making decisions while pretending to understand a subject.
The oppressed are portrayed as both god-like and impotent and are, in fact, neither. Meanwhile the rulers portray themselves only as invulnerable and are, in fact, childish in their ability to survive without constant support. Their greatest fear from the collapse of society is figuring out how to make sure people keep taking care of them.
It just keeps rattling around in my head.
#USPol

Weak containment of representation on topological groupoids
K. N. Sridharan, N. Shravan Kumar
https://arxiv.org/abs/2510.05898 https://arxiv.org/pdf/2510.0…

Weak containment of representation on topological groupoids
Let $G$ be a second-countable, locally compact Hausdorff groupoid equipped with a Haar system. This paper investigates the weak containment of continuous unitary representations of groupoids. We show that both induction and inner tensor product of representations preserve weak containment. Additionally, we introduce the notion of a topological invariant mean on $G/H$ and explore its connection to amenability. With that, we establish a groupoid analogue of Greenleaf's theorem. Finally, we provid…

Super Micro's shares drop 5% after the server maker reports it expects $5B in Q1 revenue, down from its $6B to $7B guidance, due to "design win upgrades" (Ashley Capoot/CNBC)
https://www.cnbc.com/2025/10/23/super-micro-stock-preliminary-earnings.htm…

Super Micro shares fall 6% on weak preliminary results
Super Micro said "design win upgrades" pushed some expected first-quarter revenue to the second quarter.

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
Said Boulite, Abdellatif Elgrou, Lahcen Maniar, Abdelaziz Rhandi
https://arxiv.org/abs/2510.12345

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
We derive a new Carleman estimate for a general backward stochastic parabolic equation with dynamic boundary conditions, incorporating weak divergence source terms in both the bulk and surface equations. This estimate is obtained through two main steps: first, by refining a known Carleman estimate for backward stochastic parabolic equations to explicitly account for the dependence of the parameters on the final control time \(T\); second, by applying a duality technique to address weak divergen…

A deep multiple instance learning approach based on coarse labels for high-resolution land-cover mapping
Gianmarco Perantoni, Lorenzo Bruzzone
https://arxiv.org/abs/2510.06769 h…

A deep multiple instance learning approach based on coarse labels for high-resolution land-cover mapping
The quantity and the quality of the training labels are central problems in high-resolution land-cover mapping with machine-learning-based solutions. In this context, weak labels can be gathered in large quantities by leveraging on existing low-resolution or obsolete products. In this paper, we address the problem of training land-cover classifiers using high-resolution imagery (e.g., Sentinel-2) and weak low-resolution reference data (e.g., MODIS -derived land-cover maps). Inspired by recent w…

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
Shicheng Liu, Qilong Zhai
https://arxiv.org/abs/2510.00354 https://

A posteriori error estimation for weak Galerkin method of the fourth-order singularly perturbed problem
In this paper, we present a posteriori error estimation for weak Galerkin method applied to fourth order singularly perturbed problem. The weak Galerkin discretization space and numerical scheme are first described. A fully computable residual type error estimator is then constructed. Both the reliability and efficiency of the proposed estimator are rigorously demonstrated. Numerical experiments are provided to validate the theoretical findings.

Zeros of Hecke polynomials arising from weak eigenforms
Kevin Gomez
https://arxiv.org/abs/2509.26519 https://arxiv.org/pdf/2509.26519

Zeros of Hecke polynomials arising from weak eigenforms
We attach Hecke polynomials $P_n(F;x)$ to weak Hecke eigenforms $F$ of weight $2-k$ and show that, for large $n$, every zero is simple, lies in $[0,1728]$, and the zeros equidistribute on this interval. The construction pulls back a weakly holomorphic Hecke combination of $F$ along $j$; the analysis follows Hecke orbits on the unit-circle arc $\mathcal{A}$, isolating a dominant "cosine" term and controlling the tail via Maass-Poincaré series and Whittaker/Bessel bounds. This extends the Rankin…

Once, I read that a man be never stronger than when he truly realizes how
weak he is.
-- Jim Starlin, "Captain Marvel #31"

Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
Mostafa Bendahmane, Mohamed Mehdaoui, Mouhcine Tilioua
https://arxiv.org/abs/2510.03947

Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
The purpose of this paper is to establish the well-posedness of martingale (probabilistic weak) solutions to stochastic degenerate aggregation--diffusion equations arising in biological and public health contexts. The studied equation is of a stochastic degenerate parabolic type, featuring a nonlinear two-sidedly degenerate diffusion term accounting for repulsion, a locally Lipschitz reaction term representing competitive interactions, and a stochastic perturbation term capturing environmental …

Facing difficult questions about his use of an FBI jet, Kash Patel pitches weak defense (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/facing-difficult-questions-use-fbi-jet-kash-patel-pitches-weak-defense-rcna241658
http://www.memeorandum.com/251104/p111#a251104p111

Fascists don't get to claim whatever symbols they want. We can and should defend them.
https://www.offmessage.net/p/fascists-dont-get-to-claim-symbols

Fascists Don't Get To Claim Whatever Symbols They Want
Particularly these soft, weak men.

Distinguishing between Black Holes and Neutron Stars within a Population of Weak Tidal Measurements
Michael M\"uller, Reed Essick
https://arxiv.org/abs/2510.08832 https://

Distinguishing between Black Holes and Neutron Stars within a Population of Weak Tidal Measurements
We study the ability of tidal signatures within the inspiral of compact binaries observed through gravitational waves (GWs) to distinguish between neutron stars (NSs) and black holes (BHs). After quantifying how hard this measurement is on a single-event basis, we investigate the ability of a large catalog of GW detections to constrain the fraction of NS in the population as a function of mass: $f_{\mathrm{NS}}(m)$. Using simulated catalogs with realistic measurement uncertainty, we find that $…

Rank Aggregation under Weak Stochastic Transitivity via a Maximum Score Estimator
Haoran Zhang, Yunxiao Chen
https://arxiv.org/abs/2510.06789 https://arxiv…

Rank Aggregation under Weak Stochastic Transitivity via a Maximum Score Estimator
Stochastic transitivity is central for rank aggregation based on pairwise comparison data. The existing models, including the Thurstone, Bradley-Terry (BT), and nonparametric BT models, adopt a strong notion of stochastic transitivity, known as strong stochastic transitivity (SST). This assumption imposes restrictive monotonicity constraints on the pairwise comparison probabilities, which is often unrealistic for real-world applications. This paper introduces a maximum score estimator for aggre…

Putin will have the impression this morning that European democracies are weak and he can win this war. Peacetalks will go nowhere, Putin will calculate that he can, as a dictator, make his people suffer more and longer then the people in Europe....
#russia ##ukraine

Weak immersions with second fundamental form in a critical Sobolev space
Dorian Martino, Tristan Rivi\`ere
https://arxiv.org/abs/2510.10594 https://arxiv.o…

Weak immersions with second fundamental form in a critical Sobolev space
We develop the analysis of Lipschitz immersions of $n$-dimensional manifolds into $\mathbb{R}^d$ having their second fundamental forms bounded in the critical Sobolev space $W^{\frac{n}{2}-1,2}$ in dimension $n\geq 4$ even and any codimension. We prove that, while such a weak immersion is not necessary $C^1$, it generates a $C^1$ differential structure on the domain. More precisely, for any such an immersion, there is an atlas in which the first fundamental form is continuous and the transition…

Weak localization and antilocalization corrections to nonlinear transport: a semiclassical Boltzmann treatment
Dmitry V. Chichinadze
https://arxiv.org/abs/2510.02684 https://

Weak localization and antilocalization corrections to nonlinear transport: a semiclassical Boltzmann treatment
The nonlinear transport regime is manifested in the nonlinear current-voltage characteristic of the system. An example of such a nonlinear regime is a setup in which current is injected into the sample and the measured voltage drop is quadratic in the injected current. Such a quadratic nonlinear regime requires inversion symmetry to be broken. This is the same symmetry condition as one needs to observe weak antilocalization, which can be prominent in two-dimensional systems. Here, we study the …

Unclear to me why no one ever mentions Strongbox in #PasswordManager reviews. It is a perfectly fine PM for macOS/iOS/iPadOS that has a rich set of sync options, most of which don't involve any 2nd/3rd party storage. It stores its databases in KeePass2.x (kdbx v4) format, so it is data-compatible with the many variations of KeePass.
(I use it with SSH/SCP sync, so as long as I’m at…

The collapse of two US firms, First Brands and Tricolor,
has shone a light on private credit and its growing influence in the global economy.
The failures have led to ballooning losses at traditional banks,
and, coupled with worries about the health of US regional banks,
have raised concerns about weak lending standards and potential threats from an opaque corner of the so-called "shadow banking" sector

QuantumBoost: A lazy, yet fast, quantum algorithm for learning with weak hypotheses
Amira Abbas, Yanlin Chen, Tuyen Nguyen, Ronald de Wolf
https://arxiv.org/abs/2510.05089 https…

QuantumBoost: A lazy, yet fast, quantum algorithm for learning with weak hypotheses
The technique of combining multiple votes to enhance the quality of a decision is the core of boosting algorithms in machine learning. In particular, boosting provably increases decision quality by combining multiple weak learners-hypotheses that are only slightly better than random guessing-into a single strong learner that classifies data well. There exist various versions of boosting algorithms, which we improve upon through the introduction of QuantumBoost. Inspired by classical work by Bar…

Energy equality of the weak solutions to the fractional Navier-Stokes / MHD equations
Yi Feng, Weihua Wang
https://arxiv.org/abs/2510.06024 https://arxiv.o…

Energy equality of the weak solutions to the fractional Navier-Stokes / MHD equations
In this paper, we study the problem of energy equality for weak solutions of the 3D incompressible fractional Navier-Stokes / MHD equations. With the help of the technique of symmetrization and interpolation method, we obtain some new sufficient conditions including the Sobolev multiplier spaces, which insures the validity of the energy equality of the weak solution to fractional MHD equations. Correspondingly, the results of fractional Navier-Stokes equations are obtained. And these energy equ…

Asymptotic behaviour of the weak inverse anisotropic mean curvature flow
Chaoqun Gao, Yong Wei, Rong Zhou
https://arxiv.org/abs/2510.08168 https://arxiv.or…

Asymptotic behaviour of the weak inverse anisotropic mean curvature flow
We first establish a local gradient estimate for anisotropic $p$-harmonic functions. A key feature of our estimate is that the constant remains bounded as $p\to 1$; consequently, in the limit $p\to 1$, this estimate yields the local gradient estimate for weak solutions of the inverse anisotropic mean curvature flow (IAMCF). As an application, we show that the weak IAMCF is asymptotic to the expanding Wulff shape solution at the infinity, thereby extending the result of Huisken and Ilmanen in [7…

Unified Spectrospatial Forward Models: Spatially Continuous Maps of Weak Emission Lines in the Rosette Nebula with SDSS-V LVM
Thomas Hilder, Andrew R. Casey, Julianne J. Dalcanton, Kathryn Kreckel, Amelia M. Stutz, Amrita Singh, Guillermo A. Blanc, Sebasti\'an F. S\'anchez, J. E. M\'endez-Delgado, Andrew K. Saydjari, Luciano Vargas-Herrera, Niv Drory, Dmitry Bizyaev, Jos\'e G. Fern\'andez-Trincado, Carlos G. Rom\'an-Z\'u\~niga, Juna A. Kollmeier, Evelyn J. J…

Unified Spectrospatial Forward Models: Spatially Continuous Maps of Weak Emission Lines in the Rosette Nebula with SDSS-V LVM
Analyses of IFU data are typically performed on a per-spaxel basis, with each spectrum modelled independently. For low signal-to-noise (S/N) features such as weak emission lines, estimating properties is difficult and imprecise. Arbitrary binning schemes boost S/N at the cost of resolution, and risk introducing biases. We present a general forward-modelling approach that assumes spectra close on the sky are more similar than distant ones, and so can be modelled jointly. These "spectrospatial" m…

Searching for Dark Structures: A Comparison of Weak Lensing Convergence Maps and Lensing-Weighted Galaxy Density Maps
Soojin Kim, Ho Seong Hwang, Niall Jeffrey
https://arxiv.org/abs/2509.25836

Searching for Dark Structures: A Comparison of Weak Lensing Convergence Maps and Lensing-Weighted Galaxy Density Maps
We present the result of a comparison between the dark matter distribution inferred from weak gravitational lensing and the observed galaxy distribution to identify dark structures with a high dark matter-to-galaxy density ratio. To do this, we use weak lensing convergence maps from the Dark Energy Survey Year 3 data, and construct corresponding galaxy convergence maps at $z\lesssim1.0$, representing projected galaxy number density fluctuations weighted by lensing efficiency. The two maps show …

Finite element approximation and very weak solution existence in a two-dimensional, degenerate Keller-Segel model
Juan Vicente Guti\'errez-Santacreu
https://arxiv.org/abs/2510.06341

Finite element approximation and very weak solution existence in a two-dimensional, degenerate Keller-Segel model
This paper is devoted to the design and analysis of a numerical algorithm for approximating solutions of a degenerate cross-diffusion system, which models particular instances of taxis-type migration processes under local sensing mechanisms. The degeneracy leads to solutions that are very weak due to the low regularity themselves. Specifically, the solutions satisfy pointwise bounds (such as positivity and the maximum principle), integrability (such as mass conservation), and dual a priori esti…

A look at visual-effects studio Mofac, which is part of a wider rush in South Korea's film industry to integrate AI as it struggles with weak box office returns (Sohee Kim/Bloomberg)
https://www.bloomberg.com/news/articles/20

Weak Gibbs measures for the natural extension of $(1/\beta, \beta)$-shifts
Miki Yamashita
https://arxiv.org/abs/2509.25621 https://arxiv.org/pdf/2509.25621…

Weak Gibbs measures for the natural extension of $(1/β, β)$-shifts
In this paper we consider the weak Gibbs measures for $(α, β)$-shifts. In the case of $α=0$, Pfister and Sullivan have given a necessary and sufficient condition on $β$ such that any equilibrium measure for a function of bounded total oscillations is a weak Gibbs measure in the natural extension of a $β$-shift. So it is natural to ask what happens when $α>0$. However, their proof cannot be applied to general $(α, β)$-shifts in a similar way. In this paper we consider the case of $α=1/�…

We report the first calculation of light scattering on heavy dark matter (DM) particles: #DarkMatter, the substance that makes up most of the Universe, could potentially be detected as a red or blue light ‘fingerprint’, new research shows: https://www.york.ac.uk/news-and-events/news/2025/research/dark-matter-light-colour/

For all of Donald Trump’s promises of an economic “golden age,”
a spate of weak indicators this week told a worrisome story as the impacts of his policies are coming into focus.
Job gains are dwindling.
Inflation is ticking upward.
Growth has slowed compared with last year.
More than six months into his term, Trump’s blitz of tariff hikes and his new tax and spending bill have remodeled America’s trading, manufacturing, energy and tax systems to his own liking.

It's Trump's economy now. The latest financial numbers offer some warning signs
President Donald Trump's economic policies are facing scrutiny as weak indicators emerge. Job gains are dwindling, inflation is rising and growth has slowed compared to last year. More than six months into his term, Trump's tariffs and tax changes have reshaped the economy. On Friday, a bleak jobs report showed a decline in manufacturing jobs, and Trump fired the head of the agency responsible for the data. Critics warn that Trump's aggressive use of tariffs and tax changes could backfire. The …

Semileptonic and nonleptonic weak decays of bottom baryons $\Omega^{(*)}_{b}$
L. Khajouei, K. Azizi
https://arxiv.org/abs/2510.01429 https://arxiv.org/pdf/…

Semileptonic and nonleptonic weak decays of bottom baryons $Ω^{(*)}_{b}$
We present an investigation into the semileptonic and nonleptonic weak decays of bottom baryons $Ω^{*}_{b}$ and $Ω_{b}$ within the framework of three-point QCD sum rules. In the semileptonic sector, the $Ω^{*}_b\rightarrowΩ_c\ell\barν_{\ell}$ and $Ω_b\rightarrowΩ^*_c\ell\barν_{\ell}$ transitions are specifically considered. Utilizing the operator product expansion up to dimension six, the responsible form factors of these decays are obtained. The acquired form factors enable us to deter…

Homotopy Languages
C\'esar Bardomiano Mart\'inez, Simon Henry
https://arxiv.org/abs/2510.02607 https://arxiv.org/pdf/2510.02607

Homotopy Languages
We attach to each weak model category $\mathcal{M}$ a class of first order formulas about the fibrant objects of $\mathcal{M}$ whose validity is invariant under homotopies and weak equivalences. This is a generalization of the classical Blanc-Freyd Language of categories -- which involves formula avoiding equality on objects and which are invariant under isomorphism and equivalences of categories. In particular, we obtain similar homotopy invariant languages for $2$-categories, bicategories, ch…

Fantastic save from Alisson. Bails out a sleeping weak side defense.
#LFC

Pinterest reports Q3 revenue up 17% YoY to $1.05B, MAUs up 12% to 600M, vs. 590M est., but forecasts Q4 revenue below est.; PINS drops 13% after hours (Jonathan Vanian/CNBC)
https://www.cnbc.com/2025/11/04/pinterest-pins-q3-earnings-report-2025.html

Pinterest shares plummet 15% on earnings miss, weak forecast
Pinterest shares tanked on Tuesday after the company reported third-quarter financial results that missed on earnings per share and provided weak guidance.

Immersions and Albertson's conjecture
Jacob Fox, Janos Pach, Andrew Suk
https://arxiv.org/abs/2510.05893 https://arxiv.org/pdf/2510.05893

Immersions and Albertson's conjecture
A graph is said to contain $K_k$ (a clique of size $k$) as a weak immersion if it has $k$ vertices, pairwise connected by edge-disjoint paths. In 1989, Lescure and Meyniel made the following conjecture related to Hadwiger's conjecture: Every graph of chromatic number $k$ contains $K_k$ as a weak immersion. We prove this conjecture for graphs with at most $(1.64-o(1))k$ vertices. As an application, we make some progress on Albertson's conjecture, according to which every graph $G$ with chromatic…

Non-Monotone Traveling Waves of the Weak Competition Lotka-Volterra System
Chiun-Chuan Chen, Ting-Yang Hsiao, Shun-Chieh Wang
https://arxiv.org/abs/2510.04501 https://

Non-Monotone Traveling Waves of the Weak Competition Lotka-Volterra System
We investigate traveling wave solutions in the two-species reaction-diffusion Lotka-Volterra competition system under weak competition. For the strict weak competition regime $(b0)$, we construct refined upper and lower solutions combined with the Schauder fixed point theorem to establish the existence of traveling waves for all wave speeds $s\geq s^*:=\max\{2,2\sqrt{ad}\}$, and provide verifiable sufficient conditions for the emergence of non-monotone waves. Such conditions for non-…

Contrast this with the whole Weak Moderate style of “some reasonable concerns, middle ground, blah blah blah, maybe we should throw trans people under the bus but only about sports, we have to come together.”
Obama isn’t having it. He can’t believe their BS. These Trump people are ridiculous, and he ridicules them — and then points out that their BS is a complete con.

🇺🇦 #NowPlaying on #BBC6Music's #HuwStephens
Skunk Anansie:
🎵 Weak
#SkunkAnansie
https://ecoli1.bandcamp.com/track/skunk-anansie-weak-as-i-am
https://open.spotify.com/track/5KjdQIrQD3UBJNZfx5Qp1v

MSA-3D: Uncovering Weak AGNs and Resolved Outflows in Disguise in $z\sim1$ Star-Forming Galaxies
Namrata Roy, Alaina Henry, Tucker Jones, Ivana Barisic, Ryan L. Sanders, Kevin Bundy, Matthew A. Malkan, Themiya Nanayakkara, Karl Glazebrook, Timothy Heckman, Juan M. Espejo Salcedo, Xin Wang, Danail Obreschkow, Tommaso Treu
https://arxiv.org/…

MSA-3D: Uncovering Weak AGNs and Resolved Outflows in Disguise in $z\sim1$ Star-Forming Galaxies
We present spatially resolved rest-optical spectroscopy of 38 star-forming galaxies at 0.5 < z < 1.7 from the JWST/NIRSpec MSA-3D survey, which uses slit-stepping to build IFU-like datacubes at 0.1'' resolution. We map emission-line morphology, excitation, and kinematics of the warm ionized gas using [N II]/H$α$, [S II]/H$α$, and [O III]/H$β$. Relative to z$\sim$0 galaxies at fixed stellar mass, our sources show systematically lower [N II]/H$α$ and [S II]/H$α$ and elevated [O III]/H$β$, c…

HPE reports Q4 revenue up 14% YoY to $9.68B, vs. $9.94B est., Server revenue down 5% to $4.5B, and forecasts Q1 revenue below est.; HPE drops 5% after hours (Juby Babu/Reuters)
https://www.reuters.com/business/hpe-forecasts-weak-quarterly-revenue-2025-12-04…

Weak-strong uniqueness for general cross-diffusion systems with volume filling
Maria Heitzinger, Ansgar J\"ungel
https://arxiv.org/abs/2509.25978 https://

Weak-strong uniqueness for general cross-diffusion systems with volume filling
The weak-strong uniqueness of solutions to a broad class of cross-diffusion systems with volume filling is established. In general, the diffusion matrices are neither symmetric nor positive definite. This issue is overcome by supposing that the equations possess a Boltzmann-type entropy structure, which ensures the existence of bounded weak solutions. In this framework, general conditions on the mobility matrix are identified that allow for the proof of the weak-strong uniqueness property by me…

Republican House Speaker Mike Johnson predicts the federal government shutdown may become the longest in histor
Marjorie Taylor Greene, tearing into her own party, says GOP men in Congress are ‘weak’
Officials have reversed more than half of the about 1,300 layoff notices sent to staff members at the Centers for Disease Control and Prevention,
sparing personnel who were leading the response to measles outbreaks in the United States and an Ebola outbreak abroad.
But …

Marjorie Taylor Greene, tearing into her own party, says GOP men in Congress are ‘weak’
“There’s a lot of weak Republican men and they’re more afraid of strong Republican women,” Greene said.

Impact of projection-induced optical selection bias on the weak lensing mass calibration of galaxy clusters
Titus Nyarko Nde, Hao-Yi Wu, Shulei Cao, Gladys Muthoni Kamau, Andrius Tamosiunas, Chun-Hao To, Conghao Zhou
https://arxiv.org/abs/2510.00753

Impact of projection-induced optical selection bias on the weak lensing mass calibration of galaxy clusters
Weak gravitational lensing signals of optically identified clusters are impacted by a selection bias -- halo triaxiality and large-scale structure along the line of sight simultaneously boost the lensing signal and richness (the inferred number of galaxies associated with a cluster). As a result, a cluster sample selected by richness has a mean lensing signal higher than expected from its mean mass, and the inferred mass will be biased high. This selection bias is currently limiting the accurac…

Practical Quantum Clock Synchronization Using Weak Coherent Pulses
Noah Crum, Md Mehdi Hassan, George Siopsis
https://arxiv.org/abs/2510.00199 https://arxi…

Practical Quantum Clock Synchronization Using Weak Coherent Pulses
Establishing and maintaining a common time reference across spatially separated devices is a prerequisite for networked quantum experiments and secure communications. Classical two-way timing protocols such as Network Time Protocol (NTP) or Precision Time Protocol (PTP) are vulnerable to asymmetric channel delays and cannot provide the picosecond-level precision demanded by quantum repeater networks. We propose and numerically evaluate a quantum-enhanced clock synchronization protocol based on …

Jack Smith's lawfare and James Comey's arraignment on pathetically weak charges (Washington Post)
https://www.washingtonpost.com/opinions/2025/10/08/jack-smith-james-comey-lawfare-phone-records/
http://www.memeorandum.com/251008/p159#a251008p159

Global weak solutions to nonlinear kinetic Fokker--Planck equations in bounded domains under physical initial data
Young-Pil Choi, Sihyun Song
https://arxiv.org/abs/2510.06656 h…

Global weak solutions to nonlinear kinetic Fokker--Planck equations in bounded domains under physical initial data
We establish the global existence of weak solutions to a nonlinear kinetic Fokker--Planck equation with degenerate diffusion, under either inflow or partial absorption-reflection boundary conditions. The novelty of our approach lies in constructing solutions under solely the physical assumptions on the initial and boundary data, namely finite mass, kinetic energy, and entropy, with no additional regularity imposed. To overcome the lack of uniform ellipticity, we develop a new compactness princi…

The impact of higher-order distortions on the precise measurement of weak gravitational lensing shear and flexion
Yuki Okura, Toshifumi Futamase
https://arxiv.org/abs/2509.25990

The impact of higher-order distortions on the precise measurement of weak gravitational lensing shear and flexion
In this paper, we investigate the impact of higher-order distortions on the precise measurement of weak gravitational lensing shear and flexion. We begin by defining generalized higher-order distortions and outlining methods for measuring them. Then, using several lens models, we examine how these distortions affect shear and flexion measurements. Our results show that neglecting higher-order distortions can introduce systematic errors of a few percent in both shear and flexion measurements, in…

Global weak solutions and incompressible limit of two-dimensional isentropic compressible magnetohydrodynamic equations with ripped density and large initial data
Shuai Wang, Guochun Wu, Xin Zhong
https://arxiv.org/abs/2510.00812

Global weak solutions and incompressible limit of two-dimensional isentropic compressible magnetohydrodynamic equations with ripped density and large initial data
We establish the global existence of weak solutions to isentropic compressible magnetohydrodynamic equations with ripped density in the whole plane provided the bulk viscosity coefficient is properly large. Moreover, we show that such solutions converge globally in time to a weak solution of the inhomogeneous incompressible magnetohydrodynamic equations when the bulk viscosity coefficient tends to infinity. In particular, the initial data can be arbitrarily large and vacuum states are allowed i…

Pinterest shares dropped 20% on Wednesday after forecasting Q4 revenue below estimates as advertising took a hit from retailers dealing with tariffs (Jaures Yip/CNBC)
https://www.cnbc.com/2025/11/05/pinterest-stock-earnings-tariffs-ads.html

Pinterest plunges 20% after weak results as tariffs drag on ad revenue
Third-quarter sales in the U.S. and Canada came in at $786 million, missing analyst projections.

Convergence to a non-explicit steady state in non-factorized kinetic Fokker-Planck equations with (very) weak velocity confinements
Emeric Bouin, Luca Ziviani
https://arxiv.org/abs/2510.12331

Convergence to a non-explicit steady state in non-factorized kinetic Fokker-Planck equations with (very) weak velocity confinements
In this article, we prove some convergence results for kinetic Fokker-Planck equations with strong space confinement but fat-tailed local equilibria and non-explicit global steady states. We extend the results of \cite{C21} to a wider class of fat-tailed local equilibria, with rates of convergence in a large class of weighted $\sfL^1$ spaces. We complement our results with numerical simulations to investigate the shape of the non-explicit steady state.

Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term
Angelica Pia Di Feola, Michael Ruzicka
https://arxiv.org/abs/2510.05847 https://

Existence of global weak solutions to a parabolic $p$-Laplacian problem with convective term
For a given bounded domain $Ω\subset \mathbb R^3$, with $C^2$ boundary, and a given instant of time $T>0$, we prove the existence of a global weak solution on $(0,T)$, which satisfies a maximum principle, to a parabolic $p$-Laplacian system with convective term without divergence constraint for any $p\in (1,2)$.

Snowflake reports Q3 product revenue up 29% YoY to $1.16B, and forecasts Q4 adjusted operating income margin below estimates; SNOW drops 7% after hours (Brody Ford/Bloomberg)
https://www.bloomberg.com/news/articles/2025-12-0…

Two alternative proofs of weak Harnack inequality for mixed local and nonlocal $p$-Laplace equations with a nonhomogeneity
Prashanta Garain
https://arxiv.org/abs/2510.04065 http…

Two alternative proofs of weak Harnack inequality for mixed local and nonlocal $p$-Laplace equations with a nonhomogeneity
We study a class of mixed local and nonlocal $p$-Laplace equations with prototype \[ -Δ_p u + (-Δ_p)^s u = f \quad \text{in } Ω, \] where $Ω\subset \mathbb{R}^n$ is bounded and open. We provide sufficient condition on $f$ to ensure weak Harnack inequality with a tail term for sign-changing supersolutions. Two different proofs are presented, avoiding the Krylov--Safonov covering lemma and expansion of positivity: one via the John--Nirenberg lemma, the other via the Bombieri--Giusti lemma. To…

The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
Yuanjie Lei, Shuangqian Liu, Qinghua Xiao, Huijiang Zhao
https://arxiv.org/abs/2510.03835 https://

The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
We prove global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation of the non-cutoff linearized Boltzmann operator, we develop a refined velocity-weighted energy framework combined with vector-field techniques to control the transport term, nonlinear collisions, and the self-consistent electric field. This approach yields uniform-in-time bounds, captures enhanced dissipation of the s…

Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
J. M. Daniels-Holgate
https://arxiv.org/abs/2510.06979 https://

Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
When mean curvature flow evolves non-uniquely, the flow is said to fatten. The work of Ilmanen shows that any weak MCF is supported inside the fattening, and work of Hershkovits--White identified canonical weak flows supported on the boundary of the fattening, known as the outermost flows. It is natural to ask, when the flow fattens, are there weak mean curvature flows supported strictly inside the fattening? Outside of some special cases (e.g. flow from cones), this question was entirely open.…

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
Pasquale Ambrosio, Simone Ciani
https://arxiv.org/abs/2510.03412 https://

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
We prove the local boundedness of local weak solutions to the parabolic equation \[ \partial_{t}u\,=\,\sum_{i=1}^{n}\partial_{x_{i}}\left[(\vert u_{x_{i}}\vert-δ_{i})_{+}^{p-1}\frac{u_{x_{i}}}{\vert u_{x_{i}}\vert}\right]\,\,\,\,\,\,\,\,\,\,\mathrm{in}\,\,\,Ω_{T}=Ω\times(0,T]\,, \] where $Ω$ is a bounded domain in $\mathbb{R}^{n}$ with $n\geq2$, $p\geq2$, $δ_{1},\ldots,δ_{n}$ are non-negative numbers and $\left(\,\cdot\,\right)_{+}$ denotes the positive part. The main novelty here is that…