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General Motors killt CarPlay und Android Auto in allen Autos
General Motors alias GM will seinen Kunden nur noch sein eigenes Entertainmentsystem verkaufen. CarPlay muss weg – aber auch Android Auto.
https://ww…

Doubly Stochastic Matrices and Modified Laplacian Matrices of Graphs
Enide Andrade, Geir Dahl
https://arxiv.org/abs/2509.18773 https://arxiv.org/pdf/2509.1…

Australia Matters
Great Australian Pods Podcast Directory: #GreatAusPods

Partial trace relations beyond normal matrices
Pablo Costa Rico, Michael M. Wolf
https://arxiv.org/abs/2507.18278 https://arxiv.org/pdf/2507.18278

Partial trace relations beyond normal matrices
We investigate the relationship between partial traces and their dilations for general complex matrices, focusing on two main aspects: the existence of (joint) dilations and norm inequalities relating partial traces and their dilations. Throughout our analysis, we pay particular attention to rank constraints. We find that every pair of matrices of equal size and trace admits dilations of any rank larger than one. We generalize Audenaert's subadditivity inequality to encompass general matrices, …

Ukrainian MP, businessman Yaroslav Rushchyshyn dies in motorcycle accident: https://benborges.xyz/2025/07/25/ukrainian-mp-businessman-yaroslav-rushchyshyn.html

Recovering Wasserstein Distance Matrices from Few Measurements
Muhammad Rana, Abiy Tasissa, HanQin Cai, Yakov Gavriyelov, Keaton Hamm
https://arxiv.org/abs/2509.19250 https://…

Recovering Wasserstein Distance Matrices from Few Measurements
This paper proposes two algorithms for estimating square Wasserstein distance matrices from a small number of entries. These matrices are used to compute manifold learning embeddings like multidimensional scaling (MDS) or Isomap, but contrary to Euclidean distance matrices, are extremely costly to compute. We analyze matrix completion from upper triangular samples and Nyström completion in which $\mathcal{O}(d\log(d))$ columns of the distance matrices are computed where $d$ is the desired embe…

Einstein metrics, their moduli spaces and stability
Paul Schwahn, Uwe Semmelmann
https://arxiv.org/abs/2507.18463 https://arxiv.org/pdf/2507.18463

Einstein metrics, their moduli spaces and stability
This survey deals with two closely connected topics: first, the stability of Einstein metrics under the Einstein-Hilbert functional, and second, their deformation theory and the study of the moduli space of Einstein metrics on a compact manifold. To first order, both problems reduce to studying the spectrum and eigentensors of the Lichnerowicz Laplacian. We give an introduction to the classical theory and survey recent results and advances.

On Clip-On Power Meters for the UK: Review (2011) - Ban energy monsters and vampires from your home. What eats your cash? #frugal #cutCarbon -

On Clip-On Power Meters for the UK: Review (2011)
Ban energy monsters and vampires from your home. What eats your cash? #frugal #cutCarbon

Spectral theory of matrix-sequences: perspectives of the GLT analysis and beyond
Stefano Serra-Capizzano
https://arxiv.org/abs/2509.19544 https://arxiv.org…

Spectral theory of matrix-sequences: perspectives of the GLT analysis and beyond
In recent years there has been a growing attention on distribution results in the sense of Weyl for the collective behavior of eigenvalues and singular values of matrix-sequences. Starting from the work of Szegö regarding the case of Toeplitz matrix-sequences, there has been a wealth of associated results, which culminated in the works of Tilli and of Tyrtyshnikov, Zamarashkin, and of the author for preconditioned and non-preconditioned $r$-block $d$-level Toeplitz matrix-sequences with Lebesg…

Heuristic Bounded Prime Gaps via a Chaotic Multidimensional Sieve and Random Matrix Theory
Milad Ghadimi
https://arxiv.org/abs/2507.17986 https://arxiv.org…

Heuristic Bounded Prime Gaps via a Chaotic Multidimensional Sieve and Random Matrix Theory
We present the Enhanced Multidimensional Chaotic Heuristic Sieve (EMCHS), a novel probabilistic framework that integrates chaotic perturbations and random matrix theory (RMT) to suggest improved bounds on prime gaps. Building upon the foundational sieves of Goldston-Pintz-Yildirim and Maynard, EMCHS heuristically suggests unconditional gaps of at most 180 and conditional gaps of at most 8 under a partial Elliott-Halberstam conjecture (EHC) with delta = 0.3. These heuristic suggestions surpass M…