Tootfinder

It’s amazing how you can make #FreeTube so simple and distraction-free!
⭐ #FreeSoftware

New #BandcampFriday purchase, Void Ecstasy by Nostalghia was available for free, but I paid $5 to support the artist and add it to my collection.
https://bandcamp.com/pmarg

Integrable Billiards and Related Topics
Misha Bialy, Andrey E. Mironov
https://arxiv.org/abs/2510.03790 https://arxiv.org/pdf/2510.03790

Integrable Billiards and Related Topics
This paper surveys our results on integrable billiards. We consider various models of billiards, including Birkhoff, outer, magnetic, and Minkowski billiards. Also, we discuss wire billiards and billiards in cones. For four models of convex plane billiards, we also discuss an isoperimetric-type inequality for the Mather $β$-function. We conclude with a section of open questions on this subject.

Moody Urbanity - Oracles III 🈳
情绪化城市 - 谕 III 🈳
📷 Nikon FE
🎞️ Ilford HP5 Plus 400, expired 1993
#filmphotography #Photography #blackandwhite

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Reduction of Cosymplectic groupoids by cosymplectic moment maps
Daniel L\'opez Garcia, Nicolas Martinez Alba
https://arxiv.org/abs/2403.03178 https://mastoxiv.page/@arXiv_mathSG_bot/112047445404247851
- Algebraic Lagrangian cobordisms, flux and the Lagrangian Ceresa cycle
Alexia Corradini
https://arxiv.org/abs/2501.12850 https://mastoxiv.page/@arXiv_mathSG_bot/113876409190220093
- Systolic $S^1$-index and characterization of non-smooth Zoll convex bodies
Stefan Matijevi\'c
https://arxiv.org/abs/2501.13856 https://mastoxiv.page/@arXiv_mathSG_bot/113882071591631203
- Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
Fran\c{c}ois Gay-Balmaz, \'Alvaro Rodr\'iguez Abella, Hiroaki Yoshimura
https://arxiv.org/abs/2501.17551 https://mastoxiv.page/@arXiv_mathSG_bot/113916045279374601
- The Simplicity of the Group of Weakly Hamiltonian Diffeomorphisms on Cosymplectic Manifolds
S. Tchuiaga, P. Bikorimana
https://arxiv.org/abs/2503.10224 https://mastoxiv.page/@arXiv_mathSG_bot/114159599811622365
- Regular semisimple Hessenberg varieties with cohomology rings generated in degree two
Mikiya Masuda, Takashi Sato
https://arxiv.org/abs/2301.03762 https://mastoxiv.page/@arXiv_mathAG_bot/109669428824274443
- Billiards and Hofer's Geometry
Mark Berezovik, Konstantin Kliakhandler, Yaron Ostrover, Leonid Polterovich
https://arxiv.org/abs/2507.04767 https://mastoxiv.page/@arXiv_mathDS_bot/114817105311885626
- Geometric, topological and dynamical properties of conformally symplectic systems, normally hyper...
Marian Gidea, Rafael de la Llave, Tere M-Seara
https://arxiv.org/abs/2508.14794 https://mastoxiv.page/@arXiv_mathDS_bot/115065890424433224
toXiv_bot_toot

There's a word at the beginning and end of Dawn of Everything that feels self-referential right now: Kairos.
> We began this book with a quote which refers to the Greek notion of kairos as one of those occasional moments in a society’s history when its frames of reference undergo a shift – a metamorphosis of the fundamental principles and symbols, when the lines between myth and history, science and magic become blurred – and, therefore, real change is possible. Philosophers sometimes like to speak of ‘the Event’ – a political revolution, a scientific discovery, an artistic masterpiece – that is, a breakthrough which reveals aspects of reality that had previously been unimaginable but, once seen, can never be unseen. If so, kairos is the kind of time in which Events are prone to happen.
> Societies around the world appear to be cascading towards such a point. This is particularly true of those which, since the First World War, have been in the habit of calling themselves ‘Western’. On the one hand, fundamental breakthroughs in the physical sciences, or even artistic expression, no longer seem to occur with anything like the regularity people came to expect in the late nineteenth and early twentieth centuries. Yet at the same time, our scientific means of understanding the past, not just our species’ past but that of our planet, has been advancing with dizzying speed. Scientists in 2020 are not (as readers of mid-twentieth-century science fiction might have hoped) encountering alien civilizations in distant star systems; but they are encountering radically different forms of society under their own feet, some forgotten and newly rediscovered, others more familiar, but now understood in entirely new ways.
Reading this as I write something very inspired by this work feels especially serendipitous, especially at this time. When they wrote the book, I think that kairos felt more serendipitous itself. But as the frequency of opportunity increases, the veil between realities feels more malleable... that perhaps we can poke a finger through and open a portal to a completely different future than the one we've felt locked into for such a long time.
https://anarchoccultism.org/building-zion/the-coordinated-swarm-lyhr

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 5. Extensions beyond the standard modelling of theoretical probes and systematic effects
Collaboration, Goh, Nouri-Zonoz, Pamuk, Ballardini, Bose, Ca\~nas-Herrera, Casas, Franco-Abell\'an, Ili\'c, Keil, Kunz, Le Brun, Lepori, Martinelli, Sakr, Sorrenti, Teixeira, Tutusaus, Blot, Bonici, Bonvin, Camera, Cardone, Carrilho, Di Domizio, Durrer, Farrens, Beauchamps, Joudaki, Moretti, Pezzotta, S\'anchez, …

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 5. Extensions beyond the standard modelling of theoretical probes and systematic effects
Euclid is expected to establish new state-of-the-art constraints on extensions beyond the standard LCDM cosmological model by measuring the positions and shapes of billions of galaxies. Specifically, its goal is to shed light on the nature of dark matter and dark energy. Achieving this requires developing and validating advanced statistical tools and theoretical prediction software capable of testing extensions of the LCDM model. In this work, we describe how the Euclid likelihood pipeline, Cos…

One should not sympathize with or idolize anyone, but this person radicalized my views deeply; I cannot speak for others.
Anarchism and Anarcho-syndicalism
https://www.marxists.org/reference/archive/rocker-rudolf/misc/anarchism-anarcho-syn…

Outer length billiards on polygons
Lael Edwards-Costa
https://arxiv.org/abs/2510.11869 https://arxiv.org/pdf/2510.11869

Outer length billiards on polygons
The classical inner and outer billiards can be formulated in variational terms, with length and area as the respective generating functions. The other two combinations, ``inner with area'' and ``outer with length,'' are more recently described. Here, we consider the latter system in the special case of polygonal tables. We describe the behavior of orbits far away from the table and pose conjectures regarding an escaping orbit when the table is a square. This paper is meant to complement arXiv:2…

Outer length billiards on a large scale
Peter Albers, Lael Edwards-Costa, Serge Tabachnikov
https://arxiv.org/abs/2510.08370 https://arxiv.org/pdf/2510.083…

Outer length billiards on a large scale
We present some foundational results about the outer length billiard system, including its generating function and the invariant area form. We describe the limiting behavior of the orbits far away from the billiard table: the orbits of the map lie on the origin-centered circles, and the second iteration of the map is approximated by the flow of a Hamiltonian function whose level curves are these circles. Furthermore, the orbits "at infinity" of the centers of the auxiliary circles involved in t…