Tootfinder

iOS 26 statt iOS 19: Geteiltes Echo auf Apples erwarteten Versionssprung
Apple vereinheitlicht angeblich die Betriebssysteme mitsamt der Versionsnummer. Das sorgt für Windows-95-Witze und Sorgenfalten bei Entwicklern.

WhatsApp fixed a zero-click bug in its iOS and Mac apps that was being used, alongside a now-fixed Apple flaw, to hack into devices of "specific targeted users" (Zack Whittaker/TechCrunch)
https://techcrunch.com/2025/08/29/what…

WhatsApp fixes 'zero-click' bug used to hack Apple users with spyware | TechCrunch
A spyware vendor was behind a recent campaign that abused a vulnerability in WhatsApp to deliver an exploit capable of hacking into iPhones and Macs.

THE PROJECT 2025 SONG
- Full lyrics ©2024
Written, animated and performed by Jason Kravits
https://m.youtube.com/watch?v=CvQhTbCY4xc

Going out for some pond building parts but had to take a break at the cΓuumaʕas river (su-u-ma-as) to watch the fishers coming in from a morning of sockeye salmon fishing. 🎣
Lots of sounds of Bald Eagles in the distance. Probably in the trees across the river looking for a fish to snatch up.
check out the pro trailer parking with the offset stalls. 😂 🅿️
#portalberni #poolpond

I've had an earworm for 2 days now. Feel It Still (from Portugal. The Man.). It's the kind of earworm where you keep singing along. Out loud. It must be annoying--especially since today I'm singing it w/ the lyrics from Please Mr. Postman.
Imma make it stop by replacing it w/ a new earworm. https://www.…

The crisis is coming: Trump's ultimatum hangs over Russia | News Pulse: https://benborges.xyz/2025/07/30/the-crisis-is-coming-trumps.html

Marvellous photo taken in Glasgow by Zeno Watson. Imagine the luck of being right there at the moment they were moving that!
#FensterFreitag

https://github.com/raspberrypi/rp2350_hacking_challenge_2
Some of my proudest achievements as a hacker have been those that resulted in rule changes.
Like the time that we came back to a CTF a year after Fun Things (tm) happened and the player, judge, an…

GitHub - raspberrypi/rp2350_hacking_challenge_2
Contribute to raspberrypi/rp2350_hacking_challenge_2 development by creating an account on GitHub.

If you don’t have a mute button on your microphone, the next best thing is software that will mute your microphone at the system level. MicDrop is an example of an app I’ve tried for this (Mac only): https://getmicdrop.com

You know it’s working when the meeting software starts throwing an ”error” and saying it’s not picking up sound from your microphone.

Watched all of "Ghosts US", the American version of the UK spooky sit-com.
There's like seventy episodes that I watched in less than a week. This is how I like telly to be. Relentless.
The show's weaker than the UK one in some ways but that shear continuity, the endless-seeming perpetuity of it, drove it into my brain.
US Ghosts are always trying to cop off with each other. Sexy ghosts. Pairing up. Don't remember much of that in the UK one. Perhaps when you make it 5x longer you're left with little else in the way of story to write.
Anyway, it's over now. I miss it in the way you might miss an infuriating neighbour if they moved out.
#watching #tv

Ei taida maalausurakka valmistua kuun loppuun mennessä kuten oli sovittu. Sen verran tämä kustantaa, että tämän vuoden lomamatkat täältä Pirkkalasta ovat lähinnä kohdistuneet nyssellä Tampereelle.

Troops will get stuck with more litter patrol. What a way to demean the troops by sticking them with garbage detail...
Chicago appears resigned to fate and is prepping for federal troop arrival - and it could happen next week | The Independent
https://www.independent.co.uk/news/world/americas/us-politics/chicago-federal-troops-immigration-raid-trump-b2816535.html

¡Qué grande Sandy! 🤣😂
#Sandy #Humor #nx
🔗 https://

EcoFlow's Ocean Pro outperforms Tesla's Powerwall with more power, flood resistance, and energy monitoring capabilities. A game-changer in whole-home energy solutions. #climatechange #climatesolutions

EcoFlow says its new Ocean Pro is better than Tesla’s Powerwall
The new Ocean Pro home battery system claims more storage, higher solar support, and better smart home features than Tesla’s Powerwall.

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Local high-degree polynomial integrals of geodesic flows and the generalized hodograph method
Sergei Agapov

"""
Writing has been an instrument for some of the highest expressions of the human spirit: poetry, philosophy, science. But to understand it — why it came into being, how it changed the human experience — we have to first appreciate its crass practicality. It evolved mainly as an instrument of the mundane: the economic, the administrative, the political.
Confusion over this point is understandable. Some scholars have equated the origin of “civilization” with the origin of writing. Laypeople sometimes take this equation to mean that with writing humanity put aside its barbarous past and started behaving in gentlemanly fashion, sipping tea and remembering to say “please.” And indeed, this may be only a mild caricature of what some nineteenth-century scholars actually meant by the equation: writing equals Greece equals Plato; illiteracy equals barbarism equals Attila the Hun.
But, in truth, if you add literacy to Attila the Hun, you don’t get Plato. You get Genghis Khan. During the thirteenth century, he administered what even today is the largest continuous land empire in the history of the world. And he could do so only because he had the requisite means of control: a script that, when carried by his pony express, amounted to the fastest large-scale information-processing technology of his era. One consequence was to give pillaging a scope beyond Attila’s wildest dreams. Information technology, like energy technology or any other technology, can be a tool for good or bad. By itself, it is no guarantor of moral progress or civility.
"""
(Robert Wright, Nonzero: The Logic of Human Destiny)

[2025-07-29 Tue (UTC), 2 new articles found for math.AC Commutative Algebra]
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Normalized solutions for the nonlinear Schr\"{o}dinger equation with potentials
Matteo Rizzi, Xueqin Peng
https://arxiv.org/abs/2507.20961 https://arx…

Normalized solutions for the nonlinear Schrödinger equation with potentials
In this paper, we find normalized solutions to the following Schrödinger equation \begin{equation}\notag \begin{aligned} &-Δu-\fracμ{|x|^2}h(x)u+λu =f(u)\quad\text{in}\quad\mathbb{R}^{N},\\ & u>0,\quad \int_{\mathbb{R}^{N}}u^2dx=a^2, \end{aligned} \end{equation} where $N\geq3$, $a>0$ is fixed, $f$ satisfies mass-subcritical growth conditions and $h$ is a given bounded function with $||h||_\infty\le 1$. The $L^2(\mathbb{R}^N)$-norm of $u$ is fixed and $λ$ appea…

Durch Deutschland muß ein Fuck gehen

I'd like to applaud this but the Erdogan regime is a pariah too.
Turkiye closes airspace to Israel, bans Israeli ships from Turkish ports | Israel-Palestine conflict News | Al Jazeera
https://www.aljazeera.com/news/2025/8/29/t

Turkiye closes airspace to Israel, bans Israeli ships from Turkish ports
Turkiye’s top diplomat said his country has ‘completely’ cut off trade with Israel over its ongoing genocide.

Is Ozone a Reliable Proxy for Molecular Oxygen? II. The impact of N$_2$O on the O$_2$-O$_3$ relationship for Earth-like atmospheres
Thea Kozakis, Jo\~ao M. Mendon\c{c}a, Lars A. Buchhave, Luisa M. Lara
https://arxiv.org/abs/2505.23279

Is Ozone a Reliable Proxy for Molecular Oxygen? II. The impact of N$_2$O on the O$_2$-O$_3$ relationship for Earth-like atmospheres
Molecular oxygen (O2) will be an important molecule in the search for biosignatures in terrestrial planetary atmospheres in the coming decades. In particular, O2 combined with a reducing gas is thought to be strong evidence for disequilibrium caused by surface life. However, there are circumstances where it would be very difficult or impossible to detect O2, in which cases it has been suggested that ozone (O3), the photochemical product of O2, could be used instead. Unfortunately, the O2-O3 rel…

I have a fear of the bow of the Titanic wreck, it’s a very specific thing, the more you know.
#ActuallyAutistic

The UN needs to bite the bullet and just move. Geneva probably isn't the best logistical choice, so maybe Vienna. Make Austria Great Again!
Milan could be an interesting choice too. Lotta history. https://fed.brid.gy/r/https://bsky.app/p…

Leah McElrath (@leahmcelrath.bsky.social)
The President of Palestine responds to the decision by the US not to grant visas to Palestinian officials for the UN General Assembly, saying the decision “stands in clear contradiction to international law and the UN Headquarters Agreement.”

Dis Dat With My Cousin Vlad
Great Australian Pods Podcast Directory: #GreatAusPods

Dis Dat With My Cousin Vlad | Great Australian Pods Podcast Directory
Podcast: Dis Dat With My Cousin Vlad Host: My Cousin Vlad Category: Comedy Sub-Category: Comedy Interviews & Chats, Stand Up Comedy First Episode: 2020 My Cousin Vlad sits down weekly to go down…

the pirate #Uckermark #sailing #sailboat

Vor einiger Zeit waren hier ein paar Leute unterwegs mit "Ich hab mir mal eine 'KI' geprompted/programmiert/aufgesetzt, die soll vor allem neurodiversen Menschen mit Rat und Tat zur Seite stehen."
Alle Ratschläge halfen nichts, man war fest davon überzeugt, dass da nichts schiefgehen kann, weil...
Keine Ahnung, aber hier mal ein Einblick in ein paar solcher "therapeutischer KIs"

I‘m looking for artists that are working in a specific, primarily black and white style - I‘ve heard it called „smoke style“. I may be looking to #commission some artworks in this style, for a mix of slightly-dreamy character art and non-human subjects (animal, items). If you know an #artist who…

This season is on fire! 🎸 🖖
#StarTrek #StrangeNewWorlds #FourAndAHalfVulcans

#TIL that #spotify offers paid content that is not included in the premium subscription.
(Luckily, same release is included in my local library subscription. Also via app.)

Pastelaria Chic's: uma jóia perdida no centro do Rio de Janeiro desconhecida pela maior parte dos turistas rs.

Das „Heldentum” im Krieg ist eine Lüge, es sind nicht die mutigsten die kämpfen, sondern die, die keine andere Wahl haben.

#potd Today I harvested a few Ribisel (redcurrant) & Stachelbeeren (gooseberry) in our community garden. http://domm.plix.at/potd/2025-06-29.html

The year 2038 will be "interesting".
At 03:14:07 UTC on 19 January 2038 we will hit what may be the real Y2K problem.
And will the US exist as a single nation-state in the year 2038? (I have serious doubts.)

🇺🇦 #NowPlaying on KEXP's #DriveTime
LCD Soundsystem:
🎵 X-Ray Eyes
#LCDSoundsystem
https://lcdsoundsystem.bandcamp.com/album/x-ray-eyes-vinyl-only
https://open.spotify.com/track/6vitrLyJKoMUUC87JsgIAY
Please 🔁 BOOST to share what you like
- your followers don't see if you ⭐ favourite a post

Ich bin kein #Prepper, jedenfalls bisher nicht. Aber diesen Ansatz zu sanftem #Preppen finde ich in Zeiten der tiefen Umbrüche bedenkenswert:
#SanftesPreppen
"Es ist Preppen, aber n…

Gentle Prepperism: A Roundup of Resources + Tips for Navigating the Next Era
In a world that feels increasingly uncertain, it’s easy to ping-pong between panic and paralysis. But there’s another way: Gentle Prepperism.

Replaced article(s) found for q-bio.NC. https://arxiv.org/list/q-bio.NC/new
[1/1]:
- The Relationship between Cognition and Computation: "Global-first" Cognition versus Local-first C...
Lin Chen

[2025-06-30 Mon (UTC), no new articles found for math.HO History and Overview]
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[2025-06-30 Mon (UTC), no new articles found for cs.MS Mathematical Software]
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Folks are getting a wee bit more concerned about their privacy now that Donald Trump is in charge of the US.
You may have noticed that he and his regime love getting their hands on other people's data.
Privacy isn't the only issue. -- Can you trust Microsoft to deliver on its service promises under American political pressure?
Ask the EU-based International Criminal Court (ICC) which after it issued arrest warrants for Israeli Prime Minister Benjamin Netanyahu fo…

The year of the European Union Linux desktop may finally arrive
Opinion: True digital sovereignty begins at the desktop

iOS und macOS 26: Welche Funktionen Apple vorerst in der EU blockiert
Drei Funktionen in den neuen Betriebssystemen bleiben für Nutzer im EWR offenbar deaktiviert. Apple zeigt mit dem Finger auf den Digital Markets Act.

Ukraine holds the defense: the final stage of Russia's summer offensive: https://benborges.xyz/2025/07/30/ukraine-holds-the-defense-the.html

I’m sure it's funny, @… always is.
However, I am so glad that I don’t get that joke. I mean, I can theorize about whether that is user input or the LLM complaining or whatever, but not recognizing the context is comforting.

CatSalad🐈🥗 (D.Burch) :blobcatrainbow: (@catsalad@infosec.exchange)
Attached: 1 image You've been coding for 10+ years? Wow, you must be a really good programmer then!

The gender-fluid flag reminds me that it’s okay to dress however the hell I want at different times, and that gender doesn’t have to fit into strict boxes.
I can be any gender at any time, or whenever my body feels like being something else, I love me.
Here’s what the gender-fluid flag colors stand for, from top to bottom:
- Pink represents femininity
- White stands for the absence of gender or agender identities
- Purple is for a mix or blending of masculinit…

thank you, satan

Ukraine to move military trainings underground, Syrskyi says: https://benborges.xyz/2025/07/30/ukraine-to-move-military-trainings.html

This https://arxiv.org/abs/2505.21810 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

SHARAD Illuminates Deeper Martian Subsurface Structures with a Boost from Very Large Rolls of the MRO Spacecraft
Throughout its mission, the Mars Reconnaissance Orbiter (MRO) has often rolled about its along-track axis by up to 28° to partially compensate for the suboptimal location of the Shallow Radar (SHARAD) antenna along an edge of the spacecraft that is opposite the imaging payload deck, thereby enhancing the signal-to-noise ratio (S/N) of echoes returned from the surface. After recent modeling work predicted that a much larger roll would improve the S/N by ~10 dB relative to nadir-pointed observin…

This https://arxiv.org/abs/2505.21401 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A generalized global Hartman-Grobman theorem for asymptotically stable semiflows
We extend the generalized global Hartman-Grobman theorem by Kvalheim and Sontag for flows to a case of asymptotically stable semiflows.

Fetal Sleep: A Cross-Species Review of Physiology, Measurement, and Classification
Weitao Tang, Johann Vargas-Calixto, Nasim Katebi, Robert Galinsky, Gari D. Clifford, Faezeh Marzbanrad
https://arxiv.org/abs/2506.21828

Fetal Sleep: A Cross-Species Review of Physiology, Measurement, and Classification
Fetal sleep is a relatively underexplored yet vital aspect of prenatal neurodevelopment. Understanding fetal sleep patterns could provide insights into early brain maturation and help clinicians detect signs of neurological compromise that arise due to fetal hypoxia or fetal growth restriction. This review synthesizes over eight decades of research on the physiological characteristics, ontogeny, and regulation of fetal sleep. We compare sleep-state patterns in humans and large animal models, hi…

Comparing the face rings of a boolean complex and its barycentric subdivision
Ben Blum-Smith, Sophie Marques
https://arxiv.org/abs/2507.20037 https://arxiv…

Comparing the face rings of a boolean complex and its barycentric subdivision
We consider the relationship between the Stanley-Reisner ring (a.k.a. face ring) of a simplicial or boolean complex $Δ$ and that of its barycentric subdivision. These rings share a distinguished parameter subring. S. Murai asked if they are isomorphic, equivariantly with respect to the automorphism group $\operatorname{Aut}(Δ)$, as modules over this parameter subring. We show that, in general, the answer is no, but for Cohen-Macaulay complexes in characteristic coprime to $|\operatorname…

[2025-07-29 Tue (UTC), no new articles found for cs.MS Mathematical Software]
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Replaced article(s) found for math.AP. https://arxiv.org/list/math.AP/new
[1/1]:
- Optimal Gevrey regularity for supercritical quasi-geostrophic equations
Dong Li

Public defender’s office seeks removal of Trump’s top federal prosecutor in L.A.
https://www.latimes.com/california/story/2025-08-29/public-defender-moves-to-disqualify-bill-essayli

Public defender's office seeks to remove L.A.'s top federal prosecutor
In a filing Friday, the federal public defender's office in Los Angeles argued acting U.S. Atty. Bill Essayli should be removed because he is unlawfully occupying his post.

The Internet has ruined headlines.
It used to be that headlines had names. Now they carefully DO NOT on purpose, because using a generic role description is more likely to get a click-through to see who it is. The problem has bled into ledes as well, which are no longer synopses of stories but rather secondary teasers. You may be a few paragraphs into a story before you can get the information that every Journo 101 teacher would have demanded be in the first 3 lines.

It’s Follow Friday again, and this week I want to highlight political channels I sympathize with, some I follow, and some that share my views on syndicalism and anarcho-syndicalism!
Actively posting
@…
@…

Trump’s appeal isn’t rooted in policy;
it’s rooted in style.
I He uses delusional bravado to cosplay as a rebel against a broken system that both parties helped to rig.
The Democratic establishment’s timid, survivalist politics can’t compete with that.
You can’t beat an immoral agent of chaos with risk aversion.
You beat him with moral clarity
— the kind that’s willing to sacrifice corporate donations, political comfort and maybe even your own career for t…

Opinion | This Is the Moment Democrats Have Been Talking About for Years
The party establishment is missing its chance to prove there is more to it than just outrage and opposition.

This https://arxiv.org/abs/2503.18128 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A cometary Fluorescence Model for the $ν_3$ Vibrational Band of Cyanogen
Cyanogen (\ce{C_2N_2}) is suspected for a long time to be present in comets and to contribute to the creation of CN radical. So far no observations with ground-based facilities managed to detect this species but the Rosetta mission, thanks to in situ observations with the ROSINA mass spectrometer detected this species in the coma of 67P/Churyumov-Gerasimenko. To investigate its presence from infrared spectra in other comets, we developed a fluorescence model for the $ν_3$ fundamental band. Fro…

This https://arxiv.org/abs/2411.03277 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic stability equals exponential stability -- while you twist your eyes
Suppose that two vector fields on a smooth manifold render some equilibrium point globally asymptotically stable (GAS). We show that there exists a homotopy between the corresponding semiflows such that this point remains GAS along this homotopy.

Recency effect disappears when information is integrated from independent perceptual sources
Sepide Bagheri, Mehdi Keramati, Reza Ebrahimpour, Sajjad Zabbah
https://arxiv.org/abs/2506.21781

Recency effect disappears when information is integrated from independent perceptual sources
Decision-making often involves integrating discrete pieces of information from distinct sources over time, yet the cognitive mechanisms underlying this integration remain unclear. In this study, we examined how individuals accumulate and integrate discrete sensory evidence. Participants performed a task involving random dot motion stimuli presented in single- and double-pulse trials. These stimuli varied in motion coherence, source consistency of pulses (either the same or orthogonal directions…

Explicit Stillman bounds for all degrees
Giulio Caviglia, Yihui Liang, Cheng Meng
https://arxiv.org/abs/2507.19617 https://arxiv.org/pdf/2507.19617

Explicit Stillman bounds for all degrees
In 2016 Ananyan and Hochster proved Stillman's conjecture by showing the existence of a uniform upper bound on the lengths of an $R_η$-sequence containing a fixed $n$ forms of degree at most $d$ in polynomial rings over a field. This result yields many other uniform bounds including bounds on the projective dimension of the ideals generated by $n$-forms of degree at most $d$. Explicit values of these bounds for forms of degrees $5$ and higher are not yet known. This article constructs such e…

Coherent Structures in Flame Fronts
Sultan Aitzhan, Benjamin F. Akers, David M. Ambrose
https://arxiv.org/abs/2507.20918 https://arxiv.org/pdf/2507.20918…

Coherent Structures in Flame Fronts
We study traveling waves in a coordinate-free model of flame fronts. The flame front is the interface between the burnt and unburnt phases of a gas undergoing combustion. The front therefore moves in a preferred direction, as the unburnt gas is consumed. In the horizontally periodic, vertically unbounded setting, we prove the existence of waves of permanent form which are traveling in the vertical direction. We also compute these waves. The analysis and computation use the framework of travelin…

Yes. We are.
The next epidemic *will affect you* before the mass media has received any mention of it from the Federal government.
It will be like AIDS except that the ignored dead will be everyone instead of just gays, drug injectors, and Haitians.
https://

Vaccine disputes and agency departures put U.S. at risk, a former CDC official says
Health and Human Services Deputy Secretary Jim O'Neill will be named interim director of the Centers for Disease Control and Prevention, according to a letter Kennedy sent to CDC staff, which was obtained by NPR. The decision comes after Health Secretary Robert F. Kennedy Jr. fired Susan Monarez, …

This https://arxiv.org/abs/2412.08692 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The Spin-Orbit Alignment of 8 Warm Gas Giant Systems
Essential information about the formation and evolution of planetary systems can be found in their architectures -- in particular, in stellar obliquity ($ψ$) -- as they serve as a signature of their dynamical evolution. Here, we present ESPRESSO observations of the Rossiter-Mclaughlin (RM) effect of 8 warm gas giants, revealing that independent of the eccentricities, all of them have relatively aligned orbits. Our 5 warm Jupiters -- WASP-106 b, WASP-130 b, TOI-558 b, TOI-4515 b, and TOI-5027 b…

This https://arxiv.org/abs/2408.03577 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Random dynamical systems of polynomial automorphisms on $\Bbb{C}^{2}$
This paper deals with random dynamical systems of polynomial automorphisms (complex generalized Hénon maps and their conjugate maps) of $\Bbb{C}^{2}.$ We show that a generic random dynamical system of polynomial automorphisms has ``mean stablity'' on $\Bbb{C}^{2}$. Further, we show that if a system has mean stability, then (1) for each $z\in \Bbb{C}^{2}$ and for almost every sequence $γ=(γ_{n})_{n=1}^{\infty }$ of maps, the maximal Lyapunov exponents of $γ$ at $z$ is negative, (2) there are…

The Spatiotemporal Organization of Motor Cortex Activity Supporting Manual Dexterity
Nicholas Chehade
https://arxiv.org/abs/2506.21738 https://

The Spatiotemporal Organization of Motor Cortex Activity Supporting Manual Dexterity
Motor cortex (M1) is a crucial brain area for controlling voluntary movements, such as reaching and grasping for a cup of coffee. M1 is organized in a somatotopic manner, such that M1 output driving movement to different parts of the body is organized along the cortical surface. In primates, the arm and hand are represented in M1 as separate but overlapping territories. Unit activity recorded from the M1 forelimb representation comodulates with parameters related to reaching and/or grasping. Th…

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6
Renzo Bruera, Xavier Cabre
https://arxiv.org/abs/2507.20916 https://arxiv.…

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6
In this article we address the regularity of stable solutions to semilinear elliptic equations $-Δu = f(u)$ with MEMS type nonlinearities. More precisely, we will have $0\leq u \leq 1$ in a domain $Ω\subset \mathbb{R}^n$ and $f:[0,1)\to (0,+\infty)$ blowing up at $u=1$ and nonintegrable near 1. In this context, a solution $u$ is regular if $u<1$ in all $Ω$ or, equivalently, if $-Δu = f(u)<+\infty$ in $Ω$. This paper establishes for the first time interior regularity estimates that are in…

This https://arxiv.org/abs/2410.03874 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

A differentiable N-body code for transit timing and dynamical modelling -- II. Photodynamics
Exoplanet transits contain substantial information about the architecture of a system. By fitting transit light curves we can extract dynamical parameters and place constraints on the properties of the planets and their host star. Having a well-defined probabilistic model plays a crucial role in making robust measurements of these parameters, and the ability to differentiate the model provides access to more robust inference tools. Gradient-based inference methods can allow for more rapid and a…

This https://arxiv.org/abs/2301.09786 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Size of exceptional sets in weakly mixing systems
For any weakly mixing system \((X,\mcr{B},μ,T)\) and any \(A,B\in\mcr{B}\), it is well known that there exists a density-zero ``exceptional set'' \(J_{A,B}\subseteq\mathbb{N}\) along which \[ μ\bigl(A\cap T^{-n}B\bigr)\toμ(A)\,μ(B) \] for $n\notin J_{A,B}$. In this paper, we investigate finer quantitative properties of the exceptional set. First, assuming a given rate of weak mixing, we derive an explicit upper bound on \[ \bigl|J_{A,B}\cap[0,n]\bigr| \] in terms of that rate. We …

Finding Similar Objects and Active Inference for Surprise in Numenta Neocortex Model
Hajime Kawakami
https://arxiv.org/abs/2506.21554 https://

Finding Similar Objects and Active Inference for Surprise in Numenta Neocortex Model
Jeff Hawkins and his colleagues in Numenta have proposed the thousand-brains system. This is a model of the structure and operation of the neocortex and is under investigation as a new form of artificial intelligence. In their study, learning and inference algorithms running on the system are proposed, where the prediction is an important function. The author believes that one of the most important capabilities of the neocortex in addition to prediction is the ability to make association, that …

Convergence of two-scale expansions for elastic heterogeneous plates
Virginie Ehrlacher, Arthur Leb\'ee, Fr\'ed\'eric Legoll, Adrien Lesage
https://arxiv.org/abs/2507.20874

Convergence of two-scale expansions for elastic heterogeneous plates
The aim of this article is to prove strong convergence results on the difference between the solution to highly oscillatory problems posed in thin domains and its two-scale expansion. We first consider the case of the linear diffusion equation and establish such results in arbitrary dimensions, by using a straightforward adaptation of the classical arguments used for the homogenization of highly oscillatory problems posed on fixed (non-thin) domains. We next consider the linear elasticity probl…

Apache Point rapid response characterization of primitive pre-impact detection asteroid 2024 RW$_1$
Carl Ingebretsen, Bryce T. Bolin, Robert Jedicke, Peter Vere\v{s}, Christine H. Chen, Carey M. Lisse, Russet McMillan, Torrie Sutherland, Amanda J. Townsend
https://arxiv.org/abs/2505.23736

Apache Point rapid response characterization of primitive pre-impact detection asteroid 2024 RW$_1$
Pre-impact detection asteroids (PIDAs) may be detected only a few hours before their impact with Earth, providing a brief opportunity to characterize them before impact. We describe the characterization of PIDA 2024 RW$_1$, which was discovered by the Catalina Sky Survey on 2024 September 4 at 05:43 UTC, before it entered the atmosphere near the northern Philippines at 16:39 UTC. We observed 2024 RW$_1$ with the Astrophysical Research Consortium Telescope Imaging Camera on the Apache Point Astr…

An Analysis of Pseudo-Goodwin Cycles in a Wage-Led Minsky Model
Johannes Buchner
https://arxiv.org/abs/2505.23513 https://arxiv.org/p…

An Analysis of Pseudo-Goodwin Cycles in a Wage-Led Minsky Model
The goal of these notes is to make the concept of "pseudo goodwin cycles" mathematically more precise. At first the title seems like a contradiction to have a wage-led model and still find goodwin cycles in it, but the point we try to make in the paper is that those are only `pseudo-goodwin' cycles, and not real goodwin cycles.

[2025-06-30 Mon (UTC), 4 new articles found for q-bio.NC Neurons and Cognition]
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Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity
Piotr Micha{\l} Bies, Tomasz Cie\'slak, Mario Fuest, Johannes Lankeit, Boris Muha, Srdan Trifunovi\'c
https://arxiv.org/abs/2507.20794

Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity
We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introduced, extending the previous one-dimensional approach from the first two authors (SIAM J.\ Math.\ Anal.\ \textbf{55} (2023), 7024--7038)) to higher dimensions. Using this functional, we prove global/local existence of unique regular solutions for small/large initial data. Furthermore, we analyze the asymptotic behavio…

Detecting Atmospheric CO2 Trends as Population-Level Signatures for Long-Term Stable Water Oceans and Biotic Activity on Temperate Terrestrial Exoplanets
Janina Hansen, Daniel Angerhausen, Sascha P. Quanz, Derek Vance, Bj\"orn S. Konrad, Emily O. Garvin, Eleonora Alei, Jens Kammerer, Felix A. Dannert
https://arxiv.org/abs/2…

Detecting Atmospheric CO2 Trends as Population-Level Signatures for Long-Term Stable Water Oceans and Biotic Activity on Temperate Terrestrial Exoplanets
Identifying key observables is essential for enhancing our knowledge of exoplanet habitability and biospheres, as well as improving future mission capabilities. While currently challenging, future observatories such as the Large Interferometer for Exoplanets (LIFE) will enable atmospheric observations of a diverse sample of temperate terrestrial worlds. Using thermal emission spectra that represent conventional predictions of atmospheric CO2 variability across the Habitable Zone (HZ), we assess…

Locating Extremal Periodic Orbits for the Planar Circular Restricted Three Body Problem using Polynomial Sum-of-Squares Optimization
Vinay Sharma, Sergei I Chernyshenko
https://arxiv.org/abs/2505.23430

Locating Extremal Periodic Orbits for the Planar Circular Restricted Three Body Problem using Polynomial Sum-of-Squares Optimization
With an increasing interest in the design of long and complex space missions, the search for orbits that require the least amount of fuel is of fundamental interest. This paper develops existing computational models for locating Unstable Periodic Orbits (UPOs) in polynomial dynamical systems using Sum-of-Squares (SOS) optimization technique and proposes a numerical framework to converge UPOs for the Planar Circular Restricted Three-Body Problem (PCR3BP) in astrodynamics. This is done by develop…

Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
Daniele Bartolucci, Aleks Jevnikar, Juncheng Wei, Ruijun Wu
https://arxiv.org/abs/2507.20725

Classification of singular limits for free boundary and singularly perturbed elliptic problems: the Dancer-Yan spikes revisited
We classify the singular limits relative to a free boundary problem arising in plasma physics in dimension $d=2$, under suitable natural integral bounds. It turns out that one of the asymptotic behaviors allowed corresponds to the Dancer-Yan spikes (J. London Math. Soc. ({\bf 78}) 2008, 639--662). Interestingly enough, roughly speaking and unlike the higher dimensional case, it is not true that any solution in the limit is a Dancer-Yan spike. Indeed, the spiking structure is more rich and we su…

The Narrow Formation Pathway of Hot Saturns: Constraints on Initial Planetary Properties
Minghao Xie, Sheng Jin, Dong-Hong Wu
https://arxiv.org/abs/2505.23148

The Narrow Formation Pathway of Hot Saturns: Constraints on Initial Planetary Properties
The observed exoplanet population exhibits a scarcity of short-period Saturn-mass planets, a phenomenon referred to as the ``hot Saturn desert". This observational scarcity can be utilized to validate the theories regarding the formation and evolution of gas planets. In this study, we conduct large-scale numerical simulations to explore how the initial conditions of gas planets orbiting solar-type and M-dwarf stars influence their evolutionary trajectories in the semi-major axis versus planetar…

Shadowing in CR-Dynamical Systems
Andrew Wood
https://arxiv.org/abs/2505.23089 https://arxiv.org/pdf/2505.23089

Shadowing in CR-Dynamical Systems
A CR-dynamical system is a pair $(X, G)$, where $X$ is a non-empty compact Hausdorff space with uniformity $\mathscr{U}$ and $G$ is a closed relation on $X$. In this paper we introduce the $(i, j)$-shadowing properties in CR-dynamical systems, which generalises the shadowing property from topological dynamical systems $(X, f)$. This extends previous work on shadowing in set-valued dynamical systems.

Minimization of Degenerate Nonlinear Functionals under Radial Symmetry
Valeria Chiad\`o Piat, Virginia De Cicco, Anderson Melchor Hernandez
https://arxiv.org/abs/2507.20603 http…

Minimization of Degenerate Nonlinear Functionals under Radial Symmetry
In this work, we study the minimization of nonlinear functionals in dimension $d\geq 1$ that depend on a degenerate radial weight $w$. Our goal is to prove the existence of minimizers in a suitable functional class here introduced and to establish that the minimizers of such functionals, which exhibit $p$-growth with $1 < p < +\infty$, are radially symmetric. In our analysis, we adopt the approach developed in [Chiadò Piat, De Cicco and Melchor Hernandez, NoDEA $2025$, De Cicco and Serra Cassa…

MOA-2022-BLG-091Lb and KMT-2024-BLG-1209Lb: Microlensing planets detected through weak caustic-crossing signals
Cheongho Han, Chung-Uk Lee, Andrzej Udalski, Ian A. Bond, Hongjing Yang, Michael D. Albrow, Sun-Ju Chung, Andrew Gould, Youn Kil Jung, Kyu-Ha Hwang, Yoon-Hyun Ryu, Yossi Shvartzvald, In-Gu Shin, Jennifer C. Yee, Weicheng Zang, Tanagodchaporn Inyanya, Sang-Mok Cha, Doeon Kim, Dong-Jin Kim, Seung-Lee Kim, Dong-Joo Lee, Yongseok Lee, Byeong-Gon Park, Richard W. Pogge, Przemek Mr…

MOA-2022-BLG-091Lb and KMT-2024-BLG-1209Lb: Microlensing planets detected through weak caustic-crossing signals
The light curves of the microlensing events MOA-2022-BLG-091 and KMT-2024-BLG-1209 exhibit anomalies with very similar features. These anomalies appear near the peaks of the light curves, where the magnifications are moderately high, and are distinguished by weak caustic-crossing features with minimal distortion while the source remains inside the caustic. To achieve a deeper understanding of these anomalies, we conducted a comprehensive analysis of the lensing events. We carried out binary-len…

Jumping for diffusion in random metastable systems
Cecilia Gonz\'alez-Tokman, Joshua Peters
https://arxiv.org/abs/2505.22996 https://

Jumping for diffusion in random metastable systems
Random metastability occurs when an externally forced or noisy system possesses more than one state of apparent equilibrium. This work investigates fluctuations in a class of random dynamical systems, arising from randomly perturbing a piecewise smooth expanding interval map with more than one invariant subinterval. Upon perturbation, this invariance is destroyed, allowing trajectories to switch between subintervals, giving rise to metastable behaviour. We show that the distributions of jumps o…

Deriving sub-diffusion equations
Beno\^it Perthame (LJLL), Min Tang
https://arxiv.org/abs/2507.20602 https://arxiv.org/pdf/2507.20602

Deriving sub-diffusion equations
Sub-diffusion equations are used in a large range of applications including fluids, plasma physics and biology. Their mathematical analysis is advanced even if a much larger literature addresses super-diffusions. The goal of this paper is to provide the microscopic mechanism and rigorous derivation of sub-diffusions when the waiting time distribution of particles follows an age-structured equation and jumps occur at each renewal. The major difficulty to recover sub-diffusions, unlike normal dif…

A Terminology and Quantitative Framework for Assessing the Habitability of Solar System and Extraterrestrial Worlds
Daniel Apai, Rory Barnes, Matthew M. Murphy, Tim Lichtenberg, Noah Tuchow, Regis Ferriere, Kevin Wagner, Antonin Affholder, Renu Malhotra, Baptiste Journaux, Allona Vazan, Ramses Ramirez, Abel Mendez, Stephen R. Kane, Veronica H. Klawender, NExSS Quantitative Habitability Science Working Group

A Terminology and Quantitative Framework for Assessing the Habitability of Solar System and Extraterrestrial Worlds
The search for extraterrestrial life in the Solar System and beyond is a key science driver in astrobiology, planetary science, and astrophysics. A critical step is the identification and characterization of potential habitats, both to guide the search and to interpret its results. However, a well-accepted, self-consistent, flexible, and quantitative terminology and method of assessment of habitability are lacking. Our paper fills this gap based on a three year-long study by the NExSS Quantitat…

Categorical Lyapunov Theory II: Stability of Systems
Aaron D. Ames, S\'ebastien Mattenet, Joe Moeller
https://arxiv.org/abs/2505.22968 https://

Categorical Lyapunov Theory II: Stability of Systems
Lyapunov's theorem provides a foundational characterization of stable equilibrium points in dynamical systems. In this paper, we develop a framework for stability for F-coalgebras. We give two definitions for a categorical setting in which we can study the stability of a coalgebra for an endofunctor F. One is minimal and better suited for concrete settings, while the other is more intricate and provides a richer theory. We prove a Lyapunov theorem for both notions of setting for stability, and …

Higher regularity in nonlocal free boundary problems
Bego\~na Barrios, Xavier Ros-Oton, Marvin Weidner
https://arxiv.org/abs/2507.20581 https://arxiv.org/p…

Higher regularity in nonlocal free boundary problems
We study the higher regularity in nonlocal free boundary problems posed for general integro-differential operators of order $2s$. Our main result is for the nonlocal one-phase (Bernoulli) problem, for which we establish that $C^{2,α}$ free boundaries are $C^\infty$. This is new even for the fractional Laplacian, as it was only known in case $s=\frac12$. We also establish a general result for overdetermined problems, showing that if the boundary condition is smooth, then so is $\partialΩ$. Our…

Origin of compact exoplanetary systems during disk infall
Raluca Rufu, Robin M. Canup
https://arxiv.org/abs/2505.22806 https://arxiv.…

Origin of compact exoplanetary systems during disk infall
Exoplanetary systems that contain multiple planets on short-period orbits appear to be prevalent in the current observed exoplanetary population, yet the processes that give rise to such configurations remain poorly understood. A common prior assumption is that planetary accretion commences after the infall of gas and solids to the circumstellar disk ended. However, observational evidence indicates that accretion may begin earlier. We propose that compact systems are surviving remnants of plane…

Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
Jacob Bedrossian, Alex Blumenthal, Sam Punshon-Smith
https://arxiv.org/abs/2505.22903

Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
We develop a general framework for establishing non-uniqueness of stationary measures for stochastically forced dynamical systems possessing an almost surely invariant submanifold. Our main abstract result provides sufficient conditions for the existence of multiple stationary measures on compact manifolds, though the underlying methodology extends to non-compact settings. The key insight is to construct additional stationary measures by exploiting the linear instability of the invariant subman…

The fraction of polar aligned circumbinary disks
Ted M. Johnson, Rebecca G. Martin, Stephen Lepp, Stephen H. Lubow
https://arxiv.org/abs/2505.22728 https:/…

The fraction of polar aligned circumbinary disks
Circumbinary gas disks that are misaligned to the binary orbital plane evolve toward either a coplanar or a polar-aligned configuration with respect to the binary host. The preferred alignment depends on the dynamics of the disk: whether it undergoes librating or circulating nodal precession, with librating disks evolving to polar inclinations and circulating disks evolving to coplanar. We quantify the fraction of binary star systems whose disks are expected to have polar orbits $f_\text{polar}…

Constrained Hamiltonian Systems on Observation-Induced Fiber Bundles: Theory of Symmetry and Integrability
Dongzhe Zheng
https://arxiv.org/abs/2505.22824 h…

Constrained Hamiltonian Systems on Observation-Induced Fiber Bundles: Theory of Symmetry and Integrability
Classical constrained Hamiltonian theory assumes complete observability of system states, but in reality only partial state information is often available. This paper establishes a complete geometric theoretical framework for handling such incompletely observed systems. By introducing the concept of observation-induced fiber bundles, we naturally extend Dirac constraint theory to the fiber bundle setting, unifying the treatment of state constraints and observation constraints. Main results incl…

Connecting Planetary Composition with Formation: a New Paradigm Emerges
Ralph E. Pudritz, Alex J. Cridland, Julie Inglis, Mathew Alessi
https://arxiv.org/abs/2505.22724

Connecting Planetary Composition with Formation: a New Paradigm Emerges
Extensive ground and space based surveys have now characterized the properties of thousands of exoplanets; their radii, masses, orbits around their host stars, and the beginnings of accurate measurements of the chemical compositions of their atmospheres and cores. How are these properties linked to their formation in physically and chemically evolving protoplanetary disks wherein they accrete pebbles, planetesimals, and gas as they undergo migration? To address this challenge, our review assemb…

[2025-05-30 Fri (UTC), 7 new articles found for math.DS Dynamical Systems]
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[2025-05-30 Fri (UTC), 9 new articles found for astro-ph.EP Earth and Planetary Astrophysics]
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