Tootfinder

Dimension and topology in transserial tame pairs
Nigel Pynn-Coates
https://arxiv.org/abs/2508.16415 https://arxiv.org/pdf/2508.16415

Dimension and topology in transserial tame pairs
Every maximal Hardy field has a proper elementary differential subfield that is Dedekind complete in the maximal Hardy field. This pair of Hardy fields is a transserial tame pair, shown to have a complete and model complete elementary theory in arXiv:2408.07033. This paper introduces a dimension in transserial tame pairs and shows that it equals the (naive) dimension coming from the order topology. In particular, the dimension is definable in a certain sense, and is the unique definable dimensi…

Exact electromagnetic multipole expansion using elementary current multipoles
Andriy Shevchenko, Sagar Sehrawat, Radoslaw Kolkowski
https://arxiv.org/abs/2508.16545 https://

Exact electromagnetic multipole expansion using elementary current multipoles
Multipole expansion plays an important role in the description of electromagnetic scatterers, allowing them to be accurately characterized by a small set of expansion coefficients. However, to describe electromagnetic excitations inside a scatterer, the current density in it should be decomposed into current multipoles. Such current expansion includes nonradiating current configurations that are absent in the classical field-based expansion. Unfortunately, the use of current multipoles has so f…

An Inductive Proof that Lights Out Configurations are Invertible
Keivan Mirzaei
https://arxiv.org/abs/2509.18223 https://arxiv.org/pdf/2509.18223

#FediLZ #EnglishEd

Journeys In Film (@JourneysInFilm@hcommons.social)
Angehängt: 1 Bild Announcing the new Journeys in Film website! We rebuilt it from the ground up to make it easier for you to find what you need and download what you want. - 1-click downloads: no login or checkout required! - Growing collection of single-lesson downloads. - Library sortable by elementary, middle school, high school, higher ed/adult ed and lesson collections. - Filters to search materials by subject, grade, resource type and theme. - Filters to search films by rating and run…

Robust Control and Entanglement of Qudits in Neutral Atom Arrays
Amir Burshtein, Shachar Fraenkel, Moshe Goldstein, Ran Finkelstein
https://arxiv.org/abs/2508.16294 https://

Robust Control and Entanglement of Qudits in Neutral Atom Arrays
Quantum devices comprised of elementary components with more than two stable levels - so-called qudits - enrich the accessible Hilbert space, enabling applications ranging from fault-tolerant quantum computing to simulating complex many-body models. While several quantum platforms are built from local elements that are equipped with a rich spectrum of stable energy levels, schemes for the efficient control and entanglement of qudits are scarce. Importantly, no experimental demonstration of mult…

#lego

An illustrated introduction to the coarse topology of lamplighters
Anthony Genevois
https://arxiv.org/abs/2509.18941 https://arxiv.org/pdf/2509.18941

Homotopy classification of closed polygonal lines: results and problems
E. Alkin, O. Nikitenko, A. Skopenkov
https://arxiv.org/abs/2508.16287 https://arxiv…

Homotopy classification of closed polygonal lines: results and problems
In this text we expose (as a sequence of problems) basic cases of some fundamental ideas and methods of mathematics. Namely, of homotopy, degree, fundamental group, covering, Whitehead invariant, etc. This is done by considering the elementary example: closed polygonal lines in a subset of the plane. Although these ideas and methods are parts of topology, they are used in many other areas including computer science. This text is expository and is accessible to mathematicians not specialized in …

No Quantum Advantage in Decoded Quantum Interferometry for MaxCut
Ojas Parekh
https://arxiv.org/abs/2509.19966 https://arxiv.org/pdf/2509.19966

No Quantum Advantage in Decoded Quantum Interferometry for MaxCut
Decoded Quantum Interferometry (DQI) is a framework for approximating special kinds of discrete optimization problems that relies on problem structure in a way that sets it apart from other classical or quantum approaches. We show that the instances of MaxCut on which DQI attains a nontrivial asymptotic approximation guarantee are solvable exactly in classical polynomial time. We include a streamlined exposition of DQI tailored for MaxCut that relies on elementary graph theory instead of coding…

An elementary construction of the ring of dual $K$-$Q$-cancellation property
Shinsuke Iwao
https://arxiv.org/abs/2508.14484 https://arxiv.org/pdf/2508.1448…

An elementary construction of the ring of dual $K$-$Q$-cancellation property
This paper presents an elementary introduction on $K$-theoretic $Q$-functions, which were introduced by Ikeda and Naruse in 2013. These functions, which serve as $K$-theoretic analogs of Schur $Q$-functions, are known to possess combinatorial and algebraic constructions. In a 2022 paper, the author introduced ``$β$-deformed power-sums" to provide a simpler, more algebraic construction of these functions. Since the original approach relies on fermionic operators and vacuum expectation values, t…