Tootfinder

On The Road - To Xi’An/Before & After 🌬️
在路上 - 去西安/之前之后🌬️
📷 Pentax MX
🎞️Lucky SHD 400
#filmphotography #Photography #blackandwhite

i accidentally left my camera on zoom when i took this photo earlier. it looks like AI generated, but it ain't.
#train #steamTrain

On the Birkhoff conjecture for Kepler billiards
Stefano Baranzini, Vivina L. Barutello, Irene De Blasi, Susanna Terracini
https://arxiv.org/abs/2507.08446 …

On the Birkhoff conjecture for Kepler billiards
We investigate the integrability of Kepler billiards-mechanical billiard systems in which a particle moves under the influence of a Keplerian potential and reflects elastically at the boundary of a strictly convex planar domain. Our main result establishes that, except possibly for one location of the gravitational center, analytic integrability at high energies occurs only when the domain is an ellipse and the center is placed at one of its foci. This provides a partial affirmative answer to a…

i said funnies in a signal convo fairly recently and got no clue how to do the tried-and-true "make it into a standalone post when ur outta ideas for what to post" thing here soooo

I’m just a baby anarchist, okay? If you start arguing anarchism with me, I’ll probably blurt out, “Chomsky,” wait, no, not Chomsky, I mean, um, oh no, did I just say Chomsky? Sorry, my bad, I meant Noam, actually scratch that, he’s not even spicy enough for the group chat.
Actually, I meant Rudolf Rocker all along. I have a crush on his syndicalist takes, if you test me on theory, I’ll just pretend I’m reading Chomsky so I can collect some extra hate from the group chat, honestly, noth…

First release of LiteBIRD simulations from an end-to-end pipeline
M. Bortolami, N. Raffuzzi, L. Pagano, G. Puglisi, A. Anand, A. J. Banday, P. Campeti, G. Galloni, A. I. Lonappan, M. Monelli, M. Tomasi, G. Weymann-Despres, D. Adak, E. Allys, J. Aumont, R. Aurvik, C. Baccigalupi, M. Ballardini, R. B. Barreiro, N. Bartolo, S. Basak, M. Bersanelli, A. Besnard, T. Brinckmann, E. Calabrese, E. Carinos, A. Carones, F. J. Casas, K. Cheung, M. Citran, L. Clermont, F. Columbro, G. Coppi, A. Cop…

First release of LiteBIRD simulations from an end-to-end pipeline
The LiteBIRD satellite mission aims at detecting Cosmic Microwave Background $B$ modes with unprecedented precision, targeting a total error on the tensor-to-scalar ratio $r$ of $δr \sim 0.001$. Operating from the L2 Lagrangian point of the Sun-Earth system, LiteBIRD will survey the full sky across 15 frequency bands (34 to 448 GHz) for 3 years.The current LiteBIRD baseline configuration employs 4508 detectors sampling at 19.1 Hz to achieve an effective polarization sensitivity of $ 2 μ\mathr…

Perlen des Lokaljournalismus.
Was haben Absatz 1 und Absatz 2 miteinander zu tun?
https://www.thueringer-allgemeine.de/lokales/blaulicht/article409879890/paerchen-hat-in-gera-vor-aller-augen-sex-pol…

Daiquiri, veckans drink i #drinkklubben
Väldigt god 🍸

Non-integrability of n-centre billiards
Stefano Baranzini
https://arxiv.org/abs/2508.07078 https://arxiv.org/pdf/2508.07078

Non-integrability of n-centre billiards
We investigate a class of mechanical billiards, where a particle moves in a planar region under the influence of an n-centre potential and reflects elastically on a straight wall. Motivated by Boltzmann's original billiard model we explore when such systems fail to be integrable. We show that for any positive energy, if there are at least two centres and the wall is placed sufficiently far away, the billiard dynamics is necessarily non-integrable and exhibits chaotic behaviour. In the classical…

If you know this lady, you are a true connoisseur of Versailles intrigue, and I shall ever esteem you as a most valued confidant.
She is, without rival, my most cherished personage from any motion picture, and to know her is to possess singular discernment.