Tootfinder

Semiorders induced by uniform random points
Csaba Bir\'o, Caroline E. Boone
https://arxiv.org/abs/2509.20274 https://arxiv.org/pdf/2509.20274

Semiorders induced by uniform random points
We study semiorders induced by points drawn from a uniform random distribution. Of particular interest in this paper are the probabilities of generating specific semiorders and the equivalence classes they produce. We present a method for calculating the asymptotic probability of inducing these semiorders and describe the qualities which group these semiorders together. We also find a class of semiorders, called \emph{ladders}, whose probabilities can be calculated using the Up/Down numbers.

Adversarial Pursuits in Cislunar Space
Filippos Fotiadis, Quentin Rommel, Gregory Falco, Ufuk Topcu
https://arxiv.org/abs/2509.20330 https://arxiv.org/pdf/…

Adversarial Pursuits in Cislunar Space
Cislunar space is becoming a critical domain for future lunar and interplanetary missions, yet its remoteness, sparse infrastructure, and unstable dynamics create single points of failure. Adversaries in cislunar orbits can exploit these vulnerabilities to pursue and jam co-located communication relays, potentially severing communications between lunar missions and the Earth. We study a pursuit-evasion scenario between two spacecraft in a cislunar orbit, where the evader must avoid a pursuer-ja…

Dyson Trace Flow and Dynamic Coupled Semicircle Law
Cong Chen, Yong Li
https://arxiv.org/abs/2509.19871 https://arxiv.org/pdf/2509.19871

Dyson Trace Flow and Dynamic Coupled Semicircle Law
This work introduces a universal framework for analyzing coupled random matrix models, centered around the newly defined Dyson Trace Flow and the Dynamic Coupled Semicircle Law. We derive stochastic differential equations for eigenvalues under asymmetric coupling, establish well-posedness, and prove a large deviation principle with explicit rate functions. The theory is extended to nonlinear and non-reciprocal interactions, revealing phenomena such as exceptional points, bistability, and novel …

WELL.
We have a newly installed @… version on an old #EndoOf10 laptop.
All user files have been moved across (will require some organisation still, and that alone will be a shock to a GenZ used to just dumping stuff on the cloud - honestly the desktop looked like my parents... 😱 ).
Most important programs are there (I had to explain difference between program and app along the way too).
And overall it's been a pretty positive learning experience for both of us. I have had to compromise on a few things and teenager has a few programs installed that I'd rather not - but let's see this as a gateway out of #BigTech if at all possible...
There will be a few more follow up points I suspect but thanks all for your friendly encouragement and helpful hints so far
#MastodonRocks
15/n

How scientists are exploring the use of quantum sensors, developed by startups like Q-CTRL, as a secure GPS alternative with military and civilian applications (Mike Cherney/Wall Street Journal)
https://www.wsj.com/tech/the…

Some leftists have criticized #NoKingsDay2 as useless. Though it was the largest protest in US history, it didn't change anything. I would go further to say that protests like these generally won't change anything. Dictators aren't forced to step down by 2% of the population coming out for one day. If they're forced to step down by protests, those protests are sustained. They are every single day. They are accompanied by general strikes.
We've been watching that happen all over the world. Portland in 2020 gave us a taste of that in the US. The George Floyd Rebellion was the type of resistance that actually brings down dictators like Trump. Occasional protests, no matter how large, can simply be ignored. That is precisely the reason the US developed a militarized police force in the first place. You need more, more than the largest protests in US history, more than Occupy, more than the resistance of the 60's and 70's, more than, and different from, anything we've seen in our lives.
And yet... Each protest has grown, and grown bolder. Some have grown more persistent. If you think of protest as the path to achieve change, you will lose. It is not. But it is a path to escalate. Some people, some otherwise comfortable white folks, came out for their first time. Some people got pepper sprayed for the first time. Some people questioned authority, stood up for the first time, and have had an experience that will radicalize them for the rest of their lives.
Protest is not useful in and of itself. It is training. It's making connections. Authoritarian regimes rely on the illusion of compliance, so visual resistance does actually undermine their power.
Liberals like to teach that non-violence is all about staying peaceful no matter what, that there's some way that morality simply overwhelms an enemy. I remember reading Langston Hughes' A Dream Deferred in high school. I said it was a threat. My teacher said, "you're wrong, he was a pacifist." Pacifism is a threat. If you can spit at me, beat me, shoot me, and I will not move, if I have the strength to absorb violence without flinching, without even rising to violence, what will happen when you push me too far?
What happens to a dream deferred?
Does it dry up
like a raisin in the sun?
Or fester like a sore—
And then run?
Does it stink like rotten meat?
Or crust and sugar over—
like a syrupy sweet?
Maybe it just sags
like a heavy load.
Or does it explode?
For peaceful resistance to work, there must be ambiguity. It must not be clear if or when the resistance will stop being peaceful. Peaceful resistance with no possibility of escalation is just cowardice.
My critique then is not so harsh as some other anarchists. If you think that protest alone will work, you're probably going to lose. If you are prepared to escalate, if you are prepared to absorb violence without flinching, then it could be possible for protest alone to topple the dictator. The cracks are already beginning to show.
And then what?
The problems that lead to the George Floyd uprising were never resolved. The problems that lead to Occupy where never resolve. The DAPL was built, protesters were maimed, it leaked multiple times (exactly as predicted). Segregation never went away, it only changed forms. The fact that immigrants have different courts and different rights means that anyone can be arbitrarily kidnaped and renditioned to an arbitrary country. We never did anything about the torture black site. FFS, people can still be stripped of their voting rights and slavery is still legal in the US. The people who control both parties in the US are killing our children and grand children with oil wars and climate change.
Toppling the dictator does nothing to resolve all of the problems that existed before him.
No, #NoKingsDay was absolutely not useless. #NoKings and related protests are extremely useful but they aren't sufficient. But, I think we still need to challenge the movement on two points:
How do you escalate after you're ignored or brutalized?
What do you demand after you win?
#USPol

Good Morning #Canada
My youngest daughter is visiting this weekend, and while cooking our family breakfast, we had a long conversation about #AI and #LLM applications. She works for a nonprofit - Rainbow Railroad - and is in charge of all their data applications and funding processes. Her manager is suggesting that they need to start exploring AI/LLM, perhaps to automate email responses to donors. Her response, backed by the fundraising team, is "no effing way will a machine talk to any donor." Losing the personal touch can kill an organization that relies on the emotional empathy and kindness of the public.
That led to a new discussion - are there examples of #AI being used for good. #AskEllyn, the nonprofit chatbot that supports breast cancer patients, was the only one we could name, unfortunately, because both my daughters have relied on it over the past few months.
Tell me about other positive examples of AI - bonus points if they're Canadian.
#CanadaIsAwesome #
https://www.ctvnews.ca/kitchener/article/kitchener-ont-ai-chatbot-for-breast-cancer-patients-becomes-focus-of-national-clinical-research-study/

Longtime Pentagon reporter Tom Bowman explains why NPR won't be signing on to the Pentagon's press policy: "signing that document would make us stenographers" (Tom Bowman/NPR)
https://www.npr.org/2025/10/14/g-s1-93297/pentagon-reporter-opini…

Zooey Deschanel, explaining how Prince ended up on "New Girl". I know she's telling the story very accurately, because she says that Prince's manager's email started with "I'm manager to legendary artist Prince...", which is exactly how her messages did start. https://youtu.be/_pMdUxAztjw

Cohomology of vector bundles on the moduli space of parabolic connections on $\mathbb{P}^1$ minus $5$ points
Yuki Matsubara
https://arxiv.org/abs/2510.12578 https://

Cohomology of vector bundles on the moduli space of parabolic connections on $\mathbb{P}^1$ minus $5$ points
We study the moduli space of parabolic connections of rank two on the complex projective line $\mathbb{P}^1$ minus five points with fixed spectral data. This paper aims to compute the cohomology of the structure sheaf and a certain vector bundle on this space. We use this computation to extend the results of Arinkin, which proved a specific Geometric Langlands Correspondence to the case where these connections have five simple poles on $\mathbb{P}^1$. Moreover, we give an explicit geometric des…