Tootfinder

Consequences of Non-Gaussian Instrumental Noise in Perturbed Nulling Interferometers
Felix A. Dannert, Philipp A. Huber, Thomas Birbacher, Romain Laugier, Markus J. Bonse, Emily O. Garvin, Adrian M. Glauser, Veronika Oehl, Sascha P. Quanz
https://arxiv.org/abs/2506.20653

Consequences of Non-Gaussian Instrumental Noise in Perturbed Nulling Interferometers
With the astrophysics community working towards the first observations and characterizations of Earth-like exoplanets, interest in space-based nulling interferometry has been renewed. This technique promises unique scientific and technical advantages by enabling direct mid-infrared observations. However, concept studies of nulling interferometers often overlook the impact of systematic noise caused by instrument perturbations. Earlier research introduced analytical and numerical models to addre…

Essential metrics for Life on graphs
Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno, Jan M. Baetens
https://arxiv.org/abs/2506.21226 https://…

Essential metrics for Life on graphs
We present a strong theoretical foundation that frames a well-defined family of outer-totalistic network automaton models as a topological generalisation of binary outer-totalistic cellular automata, of which the Game of Life is one notable particular case. These "Life-like network automata" are quantitatively described by expressing their genotype (the mean field curve and Derrida curve) and phenotype (the evolution of the state and defect averages). After demonstrating that the genotype and p…

Quasi-isospectral higher-order Hamiltonians via a reversed Lax pair construction
Francisco Correa, Andreas Fring
https://arxiv.org/abs/2507.19622 https://a…

Quasi-isospectral higher-order Hamiltonians via a reversed Lax pair construction
We present a novel approach for constructing quasi-isospectral higher-order Hamiltonians from time-independent Lax pairs by reversing the conventional interpretation of the Lax pair operators. Instead of treating the typically second-order $L$-operator as the Hamiltonian, we take the higher-order $M$-operator as the starting point and construct a sequence of quasi-isospectral operators via intertwining techniques. This procedure yields a variety of new higher-order Hamiltonians that are isospec…

Replaced article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
V. M. Bastidas, H. L. Nourse, A. Sakurai, A. Hayashi, S. Nishio, Kae Nemoto, W. J. Munro

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Neil Young:
🎵 Long May You Run
#NeilYoung
https://killphonicrecords.bandcamp.com/track/long-may-you-run
https://open.spotify.com/track/2mnEHA8kNQf0XMf98f11f0

Aha, das muß ich jetzt* erledigen
"Vom Ende der Außenhülle, dort wo der Zug am Hinterrad aus der Hülle heraus kommt, messen Sie bei einer Nexus 7 Schaltung 127 mm bis zur Mitte des Bolzens ab."
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Shimano Nexus 7 Schaltzug wechseln - Schnellhilfe für Neulinge
Wenn die Gangwechsel trotz korrekter Einstellung viel Kraft erfordern, sollten Sie den verschlissenen Shimano Nexus 7 Schaltzug wechseln. Ein eindeutiges ... Weiterlesen

This https://arxiv.org/abs/2412.20122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Multi-component Toda lattice hierarchy
We give a detailed account of the N -component Toda lattice hierarchy. This hierarchy is an extended version of the one introduced by Ueno and Takasaki. Our version contains N discrete variables rather than one. We start from the Lax formalism, deduce the bilinear relation for the wave functions from it and then, based on the latter, prove existence of the tau-function. We also show how the multi-component Toda lattice hierarchy is embedded into the universal hierarchy which is basically the mu…

Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
M. A. Chirkov, A. V. Mikhailov, D. V. Talalaev
https://arxiv.org/abs/2505.20253

Quantisation ideals, canonical parametrisations of the unipotent group and consistent integrable systems
Using the methods of quantisation ideals, we construct a family of quantisations corresponding to Case alpha in Sergeev's classification of solutions to the tetrahedron equation. This solution describes transformations between special parametrisations of the space of unipotent matrices with noncommutative coefficients. We analyse the classical limit of this family and construct a pencil of compatible Poisson brackets that remain invariant under the re-parametrisation maps (mutations). This deco…

One reduction of the modified Toda hierarchy
Jinbiao Wang, Wenchuang Guan, Mengyao Chen, Jipeng Cheng
https://arxiv.org/abs/2507.18271 https://arxiv.org/pd…

One reduction of the modified Toda hierarchy
The modified Toda (mToda) hierarchy is a two-component generalization of the 1-st modified KP (mKP) hierarchy, which connects the Toda hierarchy via Miura links and has two tau functions. Based on the fact that the mToda and 1-st mKP hierarchies share the same fermionic form, we firstly construct the reduction of the mToda hierarchy $L_1(n)^M=L_2(n)^N+\sum_{l\in\mathbb{Z}}\sum_{i=1}^{m}q_{i,n}Λ^lr_{i,n+1}Δ$ and $(L_1(n)^M+L_2(n)^N)(1)=0$, called the generalized bigraded modified Toda hierarch…