Tootfinder

Patterns Within the Markov Tree
Robert A. Gore
https://arxiv.org/abs/2506.04299 https://arxiv.org/pdf/2506.04299

Patterns Within the Markov Tree
An analysis of the Markov tree is presented. Markov triplets, {x,R,z}, are the positive integer solutions to the Diophantine equation x2 + R2 + z2 = 3xRz. Inspired by patterns of the Fibonacci and Pell triplets in Region 1 and Region 2 of the tree, an investigation of interior regions of the Markov tree finds generating functions and sequence functions for all triplets of all regions. These sequence functions lead to the discovery of a Pell equation for the Markov region numbers along the edges…

Stochastic thermodynamics for classical non-Markov jump processes
Kiyoshi Kanazawa, Andreas Dechant
https://arxiv.org/abs/2506.04726 https://

Stochastic thermodynamics for classical non-Markov jump processes
Stochastic thermodynamics investigates energetic/entropic bounds in small systems, such as biomolecular motors, chemical-reaction networks, and quantum nano-devices. Foundational results, including the second law and thermodynamic uncertainty relations, predominantly rely on the Markov assumption -- neglecting history dependence of physical systems. However, while physicists recognise that the Markov assumption is dubious in real experimental setups, extending stochastic thermodynamics to gener…

This https://arxiv.org/abs/2504.01759 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Alpha-Beta HMM: Hidden Markov Model Filtering with Equal Exit Probabilities and a Step-Size Parameter
The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we propose the $αβ$-HMM algorithm, which simplifies the state transition model to a Markov chain with equal exit probabilities and introduces a step-size parameter to balance the influence of observational data and the model. By analyzing the algorithm's dyna…

Heterogeneous response and non-Markovianity in the microrheology of semisolid viscoelastic materials
T. N. Azevedo, L. G. Rizzi
https://arxiv.org/abs/2506.05311

Heterogeneous response and non-Markovianity in the microrheology of semisolid viscoelastic materials
Recent works indicate that heterogeneous response and non-Markovianity may yield recognizable hallmarks in the microrheology of semisolid viscoelastic materials. Here we perform numerical simulations using a non-Markovian overdamped Langevin approach to explore how the microrheology experienced by probe particles immersed in an effective semisolid material can be influenced by its micro-heterogeneities. Our results show that, besides affecting the mean squared displacement, the time-dependent d…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Adrian Younge:
🎵 Esperando por Voce
#AdrianYounge
https://adrianyounge.bandcamp.com/track/esperando-por-voc
https://open.spotify.com/track/3mrZEBBswON1Ewxt9LIl0r

On Pioneering Works of Albert Shiryaev on Markov Decision Processes and Some Later Developments
Eugene A. Feinberg
https://arxiv.org/abs/2506.04896 https:/…

On Pioneering Works of Albert Shiryaev on Markov Decision Processes and Some Later Developments
This article is dedicated to three fundamental papers on Markov Decision Processes and on control with incomplete observations published by Albert Shiryaev approximately sixty years ago. One of these papers was coauthored with O.V. Viskov. We discuss some of the results and some of many rich ideas presented in these papers and survey some later developments. At the end we mention some recent studies of Albert Shiryaev on Kolmogorov's equations for jump Markov processes and on control of continu…

This https://arxiv.org/abs/2412.00193 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
We establish a correspondence between the fault-tolerance of local stabilizer codes experiencing measurement and physical errors and the mixed-state phases of decohered resource states in one higher dimension. Drawing from recent developments in mixed-state phases of matter, this motivates a diagnostic of fault-tolerance, which we refer to as the spacetime Markov length. This is a length scale determined by the decay of the (classical) conditional mutual information of repeated syndrome measure…

Verletzte und Brände in Kiew nach Angriffen
Russland hat die Ukraine in der Nacht einem Medienbericht zufolge mit einer ungewöhnlich heftigen Welle von Drohnenangriffen und Marschflugkörpern attackiert. Ziele seien die Hauptstadt Kiew sowie andere größere Städte und Regionen im äußersten Westen des Landes gewesen, meldete das Nachrichtenportal The Kyiv Independent. In allen Regionen der Ukraine sei Luftalarm ausgelöst worden.…
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Ukraine-Liveblog: ++ Kreml verärgert wegen Trumps Kleinkinder-Vergleich ++
Der Kreml hat verärgert auf einen Vergleich von US-Präsident Trump reagiert, der den Ukraine-Krieg mit einem Streit zwischen Kleinkindern verglichen hat. Nach russischen Angriffen in Kiew melden Behörden Tote und Verletzte. Der Liveblog vom Freitag zum Nachlesen.

I'm increasingly of the view that these should include those for domestic hot water. More efficient to convert solar to heat than to the vector of electricity. Les critical minerals, less fossil fuels and wood in their manufacture.
Most new build homes must be fitted with solar panels - Miliband - BBC News
https://www.

Most new build homes must be fitted with solar panels - Miliband
The energy secretary says the move will cut energy bills, but house builders caution against burdensome regulations.

Another of the supposed "defence experts" (aka #warmongers) advising Labour. The article identifies 2 others, "Lord Robertson, a former Nato secretary general, and the retired general Sir Richard Barrons".
Any experts on #peace,