Tootfinder

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
Claudio Alexandre Piedade, Philippe Tranchida
https://arxiv.org/abs/2505.24662

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
Coset incidence geometries, introduced by Jacques Tits, provide a versatile framework for studying the interplay between group theory and geometry. In this article, we build upon that idea by extending classical group-theoretic constructions (amalgamated products, HNN-extensions, semi-direct products, and twisting) to the setting of coset geometries. This gives a general way to glue together incidence geometries in various ways. This provides a general framework for combining or gluing incide…

Amalgamations along surfaces with boundary in a handlebody
Siqi Ding, Fengchun Lei, Wei Lin, Andrei Vesnin
https://arxiv.org/abs/2505.22530 https://…

Amalgamations along surfaces with boundary in a handlebody
Let M be a connected orientable 3-manifold, and F a compact connected orientable surface properly embedded in M. If F cuts M into two connected 3-manifolds X and Y, that is, M=X \cup_F Y, we say that M is an amalgamation of X and Y along F; and if F cuts M into a connected 3-manifold X, we say that M is a self-amalgamation of X along F. A characterization of an amalgamation of two handlebodies along a surface, incompressible in both, to be a handlebody was obtained by Lei, Liu, Li, and Vesnin. …

On Relative Biexactness of Amalgamated Free Product von Neumann Algebras
Kai Toyosawa, Zhiyuan Yang
https://arxiv.org/abs/2505.19508 https://

On Relative Biexactness of Amalgamated Free Product von Neumann Algebras
We show that if $M_{1}, M_{2}$ are weakly exact tracial von Neumann algebras admitting a common injective amalgam $B$, then the amalgamated free product $M_{1}\overline{*}_{B}M_{2}$ is biexact relative to $\{M_{1},M_{2}\}$. When each $ M_i $ is injective, we also show that the amalgmated free product is biexact relative to the amalgam $B$.

P O S I T A N O B Y
J O H N S T E I N B E C K
"I first heard of Positano from Alberto Moravia. It was very hot in Rome. He said, “Why don’t you go down to Positano on the Amalfi Coast? It is one of the fine places of Italy”. Later John McKnight of United States Information Service told me the same thing. He had spent a year there working on a book. Half a dozen people echoed this. Positano kind of moved in on us and we found ourselves driving down to Naples on our way."…

🇺🇦 #NowPlaying on KEXP's #ElSonido
Bruses:
🎵 Querida Amalia
#Bruses

This https://arxiv.org/abs/2505.22620 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Counting big Ramsey degrees of the homogeneous and universal $K_4$-free graph
Big Ramsey degrees of Fraïssé limits of finitely constrained free amalgamation classes in finite binary languages have been recently fully characterised by Balko, Chodounský, Dobrinen, Hubička, Konečný, Vena, and Zucker. A special case of this characterisation is the universal homogeneous $K_4$-free graph. We give a self-contained and relatively compact presentation of this case and compute the actual big Ramsey degrees of small graphs.

The NASA Exoplanet Archive and Exoplanet Follow-up Observing Program: Data, Tools, and Usage
Jessie L. Christiansen, Douglas L. McElroy, Marcy Harbut, David R. Ciardi, Megan Crane, John Good, Kevin K. Hardegree-Ullman, Aurora Y. Kesseli, Michael B. Lund, Meca Lynn, Ananda Muthiar, Ricky Nilsson, Toba Oluyide, Michael Papin, Amalia Rivera, Melanie Swain, Nicholas D. Susemiehl, Raymond Tam, Julian van Eyken, Charles Beichman

The NASA Exoplanet Archive and Exoplanet Follow-up Observing Program: Data, Tools, and Usage
The NASA Exoplanet Archive and the Exoplanet Follow-up Observing Program service are two widely used resources for the exoplanet community. The NASA Exoplanet Archive provides a complete and accurate accounting of exoplanetary systems published by NASA missions and by the community in the refereed literature. In anticipation of continued exponential growth in the number of exoplanetary systems, and the increasing complexity in our characterization of these systems, the NASA Exoplanet Archive ha…

Rules, agents and order
Amalia Puente, Diego Radillo-Ochoa, C. A. Terrero-Escalante
https://arxiv.org/abs/2505.23985 https://arxiv.or…

Rules, agents and order
Complex systems often exhibit highly structured network topologies that reflect functional constraints. In this work, we investigate how, under varying combinations of system-wide selection rules and special agents, different classes of random processes give rise to global order, with a focus restricted to finite-size networks. Using the large-$N$ Erdos-Renyi model as a null baseline, we contrast purely random link-adding processes with goal-directed dynamics, including variants of the chip-fir…

Science for Peace and the need for Civil Clauses at universities and civilian research institutions
J. Altmann, U. Amaldi, M. Barone, A. Bassalat, M. Bona, J. Beullens, H. Brand, S. Brentjes, D. Britzger, J. Ellis, S. Franchoo, A. Giammanco, A. Glazov, C. Heck, H. Jung, S. Kraml, L. L\"onnblad, M. Mangano, M. Renneberg, Th. Riebe, A. Sabio-Vera, R. Sanders, J. Scheffran, M. Schmelling, T. Schucker, T. Suzuki, A. Tanasijczuk, I. Tsakov, D. Valls-Gabaud, M. Walker

Science for Peace and the need for Civil Clauses at universities and civilian research institutions
After the end of World War II, the commitment to confine scientific activities in universities and research institutions to peaceful and civilian purposes has entered, in the form of {\it Civil Clauses}, the charters of many research institutions and universities. In the wake of recent world events, the relevance and scope of such Civil Clauses has been questioned in reports issued by some governments and by the EU Commission, a development that opens the door to a possible blurring of the dist…