Tootfinder

Eigenstate Thermalization Hypothesis (ETH) for off-diagonal matrix elements in integrable spin chains
Federico Rottoli, Vincenzo Alba
https://arxiv.org/abs/2505.23602

Eigenstate Thermalization Hypothesis (ETH) for off-diagonal matrix elements in integrable spin chains
We investigate off-diagonal matrix elements of local operators in integrable spin chains, focusing on the isotropic spin-$1/2$ Heisenberg chain ($XXX$ chain). We employ state-of-the-art Algebraic Bethe Ansatz results, which allow us to efficiently compute matrix elements of operators with support up to two sites between generic energy eigenstates. We consider both matrix elements between eigenstates that are in the same thermodynamic macrostate, as well as eigenstates that belong to different m…

This https://arxiv.org/abs/2505.03551 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
While Liouville's theorem is first-order in time for the phase-space distribution itself, the relativistic mass-shell constraint $p^μp_μ= m^2$ is naively second-order in energy. We argue that it is reasonable to unify both energy branches within a single Hamiltonian by factorizing $(p^2 - m^2)$ in analogy with Dirac's approach in relativistic quantum mechanics. We show the resulting matrix-based Liouville equation remains first order and naturally yields a $4\times4$ matrix-valued probability…

This https://arxiv.org/abs/2410.16826 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Guarantees of a Preconditioned Subgradient Algorithm for Overparameterized Asymmetric Low-rank Matrix Recovery
In this paper, we focus on a matrix factorization-based approach to recover low-rank {\it asymmetric} matrices from corrupted measurements. We propose an {\it Overparameterized Preconditioned Subgradient Algorithm (OPSA)} and provide, for the first time in the literature, linear convergence rates independent of the rank of the sought asymmetric matrix in the presence of gross corruptions. Our work goes beyond existing results in preconditioned-type approaches addressing their current limitation…

I'm trying out #iamb as a terminal client for #matrix and... it works! As in, it actually is serviceable and is able to decrypt past messages and makes sense!
https://

This https://arxiv.org/abs/2505.15726 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fluctuations of Young diagrams for symplectic groups and semiclassical orthogonal polynomials
Consider an $n\times k$ matrix of i.i.d. Bernoulli random numbers with $p=1/2$. Dual RSK algorithm gives a bijection of this matrix to a pair of Young tableaux of conjugate shape, which is manifestation of skew Howe $GL_{n}\times GL_{k}$-duality. Thus the probability measure on zero-ones matrix leads to the probability measure on Young diagrams proportional to the ratio of the dimension of $GL_{n}\times GL_{k}$-representation and the dimension of the exterior algebra $\bigwedge\left(\mathbb{C}^…

This https://arxiv.org/abs/2505.02977 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

Parallel GPU-Accelerated Randomized Construction of Approximate Cholesky Preconditioners
We introduce a parallel algorithm to construct a preconditioner for solving a large, sparse linear system where the coefficient matrix is a Laplacian matrix (a.k.a., graph Laplacian). Such a linear system arises from applications such as discretization of a partial differential equation, spectral graph partitioning, and learning problems on graphs. The preconditioner belongs to the family of incomplete factorizations and is purely algebraic. Unlike traditional incomplete factorizations, the new…

Probing disorder-induced Fisher information matrix and Cram\'{e}r-Rao bound by STM
Lucas A. Oliveira, Wei Chen
https://arxiv.org/abs/2505.22965 https:/…

Probing disorder-induced Fisher information matrix and Cramér-Rao bound by STM
The electronic local density of states of solids, if normalized correctly, represents the probability density that the electron at a specific position has a particular energy. Because this probability density can vary in space in disordered systems, we propose that one can either treat the energy as a random variable and position as an external parameter to construct a real space Fisher information matrix, or treat the position as a random variable and energy as an external parameter to constru…

This https://arxiv.org/abs/2410.16826 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Guarantees of a Preconditioned Subgradient Algorithm for Overparameterized Asymmetric Low-rank Matrix Recovery
In this paper, we focus on a matrix factorization-based approach to recover low-rank {\it asymmetric} matrices from corrupted measurements. We propose an {\it Overparameterized Preconditioned Subgradient Algorithm (OPSA)} and provide, for the first time in the literature, linear convergence rates independent of the rank of the sought asymmetric matrix in the presence of gross corruptions. Our work goes beyond existing results in preconditioned-type approaches addressing their current limitation…

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $Tb$ theorem, quantitative rectifiability, and free boundary problems
Andrea Merlo, Mihalis Mourgoglou, Carmelo Puliatti
https://arxiv.org/abs/2505.23478

Layer potentials for elliptic operators with DMO-type coefficients: big pieces $Tb$ theorem, quantitative rectifiability, and free boundary problems
For $n \geq 2$, we consider the operator $L_A = -\mathrm{div }(A(\cdot)\nabla)$, where $A$ is a uniformly elliptic $(n+1)\times(n+1)$ matrix with variable coefficients, a Radon measure $μ$ on $\mathbb{R}^{n+1}$, and the associated gradient of the single layer potential operator $T_μ$. Under a Dini-type assumption on the mean oscillation of the matrix $A$, we establish the following results: 1) A rectifiability criterion for $μ$ in terms of $T_μ$. Under quantitative geometric and analytic …

[[tuwunel]] is apparently the recommended fork of [[conduwuit]] that remains after the latter shut down due to the maintainer burning out and having other issues with the state of matrix and the world.
https://github.com/matrix-construct/tuwunel

Mein #Matrix hat sich geändert. Ihr findet mich jetzt als justpixel:matrix.org
Man sollte seinen Wiederherstellungsschlüssel gut speichern #Dummheit

Connectivity for quantum graphs via quantum adjacency operators
Kristin Courtney, Priyanga Ganesan, Mateusz Wasilewski
https://arxiv.org/abs/2505.22519 htt…

Connectivity for quantum graphs via quantum adjacency operators
Connectivity is a fundamental property of quantum graphs, previously studied in the operator system model for matrix quantum graphs and via graph homomorphisms in the quantum adjacency matrix model. In this paper, we develop an algebraic characterization of connectivity for general quantum graphs within the quantum adjacency matrix framework. Our approach extends earlier results to the non-tracial setting and beyond regular quantum graphs. We utilize a quantum Perron-Frobenius theorem that prov…

This https://arxiv.org/abs/1911.11868 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Unified View of Graph Regularity via Matrix Decompositions
We prove algorithmic weak and \Szemeredi{} regularity lemmas for several classes of sparse graphs in the literature, for which only weak regularity lemmas were previously known. These include core-dense graphs, low threshold rank graphs, and (a version of) $L^p$ upper regular graphs. More precisely, we define \emph{cut pseudorandom graphs}, we prove our regularity lemmas for these graphs, and then we show that cut pseudorandomness captures all of the above graph classes as special cases. The …

Performance Analysis of Wireless Communication Systems Assisted by Fluid Reconfigurable Intelligent Surfaces
Farshad Rostami Ghadi, Kai-Kit Wong, F. Javier Lopez-Martinez, George C. Alexandropoulos, Chan-Byoung Chae
https://arxiv.org/abs/2505.23680

Performance Analysis of Wireless Communication Systems Assisted by Fluid Reconfigurable Intelligent Surfaces
This letter investigates the performance of emerging wireless communication systems assisted by a fluid reconfigurable intelligent surface (FRIS). Unlike conventional reconfigurable intelligent surfaces (RISs), an FRIS consists of fluid-inspired metamaterials arranged in a densely packed matrix of sub-elements over a surface. It dynamically activates specific elements for signal reflection and modulation based on real-time channel conditions. Considering a downlink scenario where a base station…

This https://arxiv.org/abs/2504.21690 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Combinatorial twists in gl_n Yangians
We introduce the special set-theoretic Yang-Baxter algebra and show that it is a Hopf algebra subject to certain conditions. The associated universal R-matrix is also obtained via an admissible Drinfel'd twist. The structure of braces emerges naturally in this context by requiring the special set-theoretic Yang-Baxter algebra to be a Hopf algebra and a quasi-triangular bialgebra after twisting. The fundamental representation of the universal R-matrix yields the familiar set-theoretic (combinato…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Shihan Zhao, Stefanos Nikolaidis
https://arxiv.org/abs/2505.20712 https://…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Quality-Diversity (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on Multi-Objective Quality-Diversity (MOQD) extends QD optimization to simultaneously optimize multiple objective functions. This opens up multi-objective applications for QD, such as generating a diverse set of game maps that maximize difficulty, realism, or other propert…

Telecom quantum dots on GaAs substrates as integration-ready high performance single-photon sources
Beatrice Costa, Bianca Scaparra, Xiao Wei, Hubert Riedl, Gregor Koblm\"uller, Eugenio Zallo, Jonathan Finley, Lukas Hanschke, Kai M\"uller
https://arxiv.org/abs/2505.22886

Telecom quantum dots on GaAs substrates as integration-ready high performance single-photon sources
The development of deterministic single photon sources emitting in the telecommunication bands is a key challenge for quantum communication and photonic quantum computing. Here, we investigate the optical properties and single-photon emission of molecular beam epitaxy grown semiconductor quantum dots emitting in the telecom O- and C- bands. The quantum dots are embedded in a InGaAs matrix with fixed indium content grown on top of a compositionally graded InGaAs buffer. This structure allows for…

Measuring topological invariants of even-dimensional non-Hermitian systems through quench dynamics
Xiao-Dong Lin, Long Zhang
https://arxiv.org/abs/2505.23633

Measuring topological invariants of even-dimensional non-Hermitian systems through quench dynamics
The accurate determination of non-Hermitian (NH) topological invariants plays a central role in the study of NH topological phases. In this work, we propose a general framework for directly measuring NH topological invariants in even-dimensional systems through quench dynamics. Our approach hinges on constructing an auxiliary Hermitian matrix topologically equivalent to the original NH Hamiltonian, enabling topological characterization via reduced-dimensional momentum subspaces called band inve…

Wusstet ihr, dass typst so schnell ist, dass man Tetris darin implementieren kann?
Also man erstellt ein typst source file and während man seine Spielkommandos (Links, Rechts, usw. als Buchstaben in den source code eingibt, wird das Spiel live nebenbei gerendert.
https://typst.app/universe/package/soviet-matrix/

This https://arxiv.org/abs/2505.14547 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

GUARD: Constructing Realistic Two-Player Matrix and Security Games for Benchmarking Game-Theoretic Algorithms
Game-theoretic algorithms are commonly benchmarked on recreational games, classical constructs from economic theory such as congestion and dispersion games, or entirely random game instances. While the past two decades have seen the rise of security games -- grounded in real-world scenarios like patrolling and infrastructure protection -- their practical evaluation has been hindered by limited access to the datasets used to generate them. In particular, although the structural components of the…

Log entry: The Matrix project proceeds apace. Dr. Forbin is continuing his work on Colossus, while Dr. Ellis and Dr. Morris continue to prep Harold Benson and Mr. Anderson for surgery...
https://www.reut…

Refining Datapath for Microscaling ViTs
Can Xiao, Jianyi Cheng, Aaron Zhao
https://arxiv.org/abs/2505.22194 https://arxiv.org/pdf/250…

Refining Datapath for Microscaling ViTs
Vision Transformers (ViTs) leverage the transformer architecture to effectively capture global context, demonstrating strong performance in computer vision tasks. A major challenge in ViT hardware acceleration is that the model family contains complex arithmetic operations that are sensitive to model accuracy, such as the Softmax and LayerNorm operations, which cannot be mapped onto efficient hardware with low precision. Existing methods only exploit parallelism in the matrix multiplication ope…

Organizational Regularities in Recurrent Neural Networks
Claus Metzner, Achim Schilling, Andreas Maier, Patrick Krauss
https://arxiv.org/abs/2505.22047 htt…

Organizational Regularities in Recurrent Neural Networks
Previous work has shown that the dynamical regime of Recurrent Neural Networks (RNNs) - ranging from oscillatory to chaotic and fixpoint behavior - can be controlled by the global distribution of weights in connection matrices with statistically independent elements. However, it remains unclear how network dynamics respond to organizational regularities in the weight matrix, as often observed in biological neural networks. Here, we investigate three such regularities: (1) monopolar output weigh…

This https://arxiv.org/abs/2410.06129 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Exploring the Computational Feasibility of Direct Pseudoinversion of the Encoding Matrix for MR Image Reconstruction (Pinv-Recon)
Image reconstruction in Magnetic Resonance Imaging (MRI) is fundamentally a linear inverse problem, such that the image can be recovered via explicit pseudoinversion of the encoding matrix by solving $\textbf{data} = \textbf{Encode} \times \textbf{image}$ - a method referred to here as Pinv-Recon. While the benefits of this approach were acknowledged in early studies, the field has historically favored fast Fourier transforms (FFT) and iterative techniques due to perceived computational limitat…

This https://arxiv.org/abs/2502.02006 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Spectrally Robust Covariance Shrinkage for Hotelling's $T^2$ in High Dimension
We investigate covariance shrinkage for Hotelling's $T^2$ in the regime where the data dimension $p$ and the sample size $n$ grow in a fixed ratio -- without assuming that the population covariance matrix is spiked or well-conditioned. When $p/n\toϕ\in (0,1)$, we propose a practical finite-sample shrinker that, for any maximum-entropy signal prior and any fixed significance level, (a) asymptotically maximizes power under Gaussian data, and (b) asymptotically saturates the Hanson--Wright lower …

This https://arxiv.org/abs/2503.24170 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Localization of operator-valued frames
We introduce a localization concept for operator-valued frames, where the quality of localization is measured by the associated operator-valued Gram matrix belonging to some suitable Banach algebra. We prove that intrinsic localization of an operator-valued frame is preserved by its canonical dual. Moreover, we show that the series associated to the perfect reconstruction of an operator-valued frame converges not only in the underlying Hilbert space, but also in a whole class of associated (qua…

Join Andrew Musselman and Trevor Grant as they present the latest developments in Mahout's new quantum compute layer, Qumat. They will provide an overview of the project, explain why Qumat was developed, and demonstrate its current capabilities. They will also present a demo of Qumat in action and conclude with calls to action for researchers and engineers who are interested in using and contributing to the project.
Learn more:

Qumat: Apache Mahout Quantum Compute
Following Mahout's core values of interoperability and providing tools for matrix arithmetic at scale, we have added a new layer (qumat) alongside our existing distributed matrix math framework (Samsara), that allows quantum researchers and developers to write code once and run it on any back-end available. As with distributed compute systems like Spark and Flink, moving from one platform to another typically requires a complete code rewrite. This is prohibitive in most cases, but Samsara allow…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Shihan Zhao, Stefanos Nikolaidis
https://arxiv.org/abs/2505.20712 https://…

Multi-Objective Covariance Matrix Adaptation MAP-Annealing
Quality-Diversity (QD) optimization is an emerging field that focuses on finding a set of behaviorally diverse and high-quality solutions. While the quality is typically defined w.r.t. a single objective function, recent work on Multi-Objective Quality-Diversity (MOQD) extends QD optimization to simultaneously optimize multiple objective functions. This opens up multi-objective applications for QD, such as generating a diverse set of game maps that maximize difficulty, realism, or other propert…

Emergent Quasiparticles \& Field-Tuned RIXS Spectra in a Trimerized Spin-1/2 Chain
Subhajyoti Pal, Pradeep Thakur, Ashis Kumar Nandy, Anamitra Mukherjee
https://arxiv.org/abs/2505.23208

Emergent Quasiparticles \& Field-Tuned RIXS Spectra in a Trimerized Spin-1/2 Chain
We investigate spin-flip excitations in the spin-1/2 trimer chain $\rm{Cu_3(P_2O_6OH)_2}$, featuring an antiferromagnetic exchange motif $J_1$-$J_1$-$J_2$ with $J_1 < J_2$. Using density matrix renormalization group (DMRG) simulations, we demonstrate that single-spin-flip processes induced by resonant inelastic X-ray scattering (RIXS) generate emergent gapless modes governed by the underlying trimer periodicity alongside distinct high-energy excitations. By combining exact diagonalization and r…

Comment on "Long-range crossed Andreev reflection in a topological insulator nanowire proximitized by a superconductor" by Junya Feng et al
E. S. Tikhonov, V. S. Khrapai
https://arxiv.org/abs/2505.23490

Comment on "Long-range crossed Andreev reflection in a topological insulator nanowire proximitized by a superconductor" by Junya Feng et al
We argue that the interpretation of the experiment [Nature Physics 21, 708-715 (2025)] is misleading in two respects. First, the bias voltages impact the non-local differential conductance randomly, rather than systematically, and the bias symmetry of the non-local conductance in Fig. 3 can be explained by a fine tuned self-gating effect. Second, the full knowledge of the conductance matrix is insufficient to conclude on the relative values of the crossed-Andreev and elastic cotunneling probabi…

This https://arxiv.org/abs/2412.13407 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hep…

Finite-temperature phase diagram of the BMN matrix model on the lattice
We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_τ = 24$ lattice sites and SU($N$) gauge groups with $8 \leq N \leq 16$. In addition, we carry out extended checks of discretization artifacts for $N_τ \leq 128$ and gauge group SU(4). We find results for the deconfinement temperature th…

This https://arxiv.org/abs/2412.20140 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Self-similarity on 4d cubic lattice
A phenomenon of "algebraic self-similarity" on 3d cubic lattice, providing what can be called an algebraic analogue of Kadanoff--Wilson theory, is shown to possess a 4d version as well. Namely, if there is a $4\times 4$ matrix $A$ whose entries are indeterminates over the field $\mathbb F_2$, then the $2\times 2\times 2\times 2$ block made of sixteen copies of $A$ reveals the existence of four direct "block spin" summands corresponding to the same matrix $A$. Moreover, these summands can be wri…

This https://arxiv.org/abs/2505.09918 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
We describe a family of 1+1 classical integrable space-discrete models of the Landau-Lifshitz type through the usage of ansatz for $U$-$V$ (Lax) pair with spectral parameter satisfying the semi-discrete Zakharov-Shabat equation. The ansatz for $U$-$V$ pair is based on $R$-matrices satisfying the associative Yang-Baxter equation and certain additional properties. Equations of motion are obtained using a set of $R$-matrix identities. In the continuous limit we reproduce the previously known famil…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Mehdi Neshat, Nataliia Y. Sergiienko, Leandro S. P. da Silva, Seyedali Mirjalili, Amir H. Gandomi, Ossama Abdelkhalik, John Boland
https://arxiv.org/abs/2505.20720

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

This https://arxiv.org/abs/2505.13647 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On $z^\circ$-ideals and annihilator ideals
For $a\in R$, let $P_a$ denote the intersection of all minimal prime ideals of $R$ containing $a$. An ideal $I$ of a ring $R$ is called a $z^{\circ}$-ideal if $P_a\subseteq I$ for all $a\in I$. In this paper, we first investigate the class of $z^{\circ}$-ideals in non-commutative rings. We provide characterizations of $z^{\circ}$-ideals in 2-by-2 generalized triangular matrix rings, full and upper triangular matrix rings, and semiprime rings. Next, we explore new properties of the lattice $rAnn…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Mehdi Neshat, Nataliia Y. Sergiienko, Leandro S. P. da Silva, Seyedali Mirjalili, Amir H. Gandomi, Ossama Abdelkhalik, John Boland
https://arxiv.org/abs/2505.20720

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

This https://arxiv.org/abs/2404.14350 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Highest-weight vectors and three-point functions in GKO coset decomposition
We revisit the classical Goddard-Kent-Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of natural vertex operators between these vectors. This leads to relations on conformal blocks. Due to the AGT correspondence, these relations are equivalent to blowup relations on Nekrasov partition functions with the presence of the surface defect. These relations can be used to prove K…

This https://arxiv.org/abs/2411.11867 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simply by putting these two topics together. Firstly, we propose a definition of ME models as a subset of CRN models. Secondly, we review a fundamental stability result for boundary points, known in ME as the NGM method since it replaces the investigation of the Jacobian by that of a matrix whose origins lie in probabi…

Boosting Binomial Exotic Option Pricing with Tensor Networks
Maarten van Damme, Rishi Sreedhar, Martin Ganahl
https://arxiv.org/abs/2505.17033 https://

Boosting Binomial Exotic Option Pricing with Tensor Networks
Pricing of exotic financial derivatives, such as Asian and multi-asset American basket options, poses significant challenges for standard numerical methods such as binomial trees or Monte Carlo methods. While the former often scales exponentially with the parameters of interest, the latter often requires expensive simulations to obtain sufficient statistical convergence. This work combines the binomial pricing method for options with tensor network techniques, specifically Matrix Product States…

DECA: A Near-Core LLM Decompression Accelerator Supporting Out-of-Order Invocation
Gerasimos Gerogiannis (Intel Corporation,University of Illinois at Urbana-Champaign), Stijn Eyerman (Intel Corporation), Evangelos Georganas (Intel Labs), Wim Heirman (Intel Corporation), Josep Torrellas (University of Illinois at Urbana-Champaign)
https://

DECA: A Near-Core LLM Decompression Accelerator Supporting Out-of-Order Invocation
To alleviate the memory bandwidth bottleneck in Large Language Model (LLM) inference workloads, weight matrices are stored in memory in quantized and sparsified formats. Hence, before tiles of these matrices can be processed by in-core generalized matrix multiplication (GeMM) hardware engines, they need to be dequantized and de-sparsified. This is currently performed in software with vector operations. Unfortunately, this approach delivers only modest performance. Moreover, it is hard to unders…

This https://arxiv.org/abs/2402.11229 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with $\mathcal{D}_8^{(1)}$ spectrum
Emergent Ising$_h^2$ integrability is anticipated in a quantum Ising ladder composed of two weakly-coupled critical transverse field Ising chains. The system is remarkable for including eight types of massive relativistic particles, with their scattering matrix and mass spectrum characterized by the $\mathcal{D}_8^{(1)}$ Lie algebra. In this article, by computing the spin dynamical structure factors following analytical form factor approach, we clearly identify dispersive single-particle excita…

Soliton resolution for the coupled complex short pulse equation
Nan Liu, Ran Wang
https://arxiv.org/abs/2505.22210 https://arxiv.org/…

Soliton resolution for the coupled complex short pulse equation
We address the long-time asymptotics of the solution to the Cauchy problem of ccSP (coupled complex short pulse) equation on the line for decaying initial data that can support solitons. The ccSP system describes ultra-short pulse propagation in optical fibers, which is a completely integrable system and posses a $4\times4$ matrix Wadati--Konno--Ichikawa type Lax pair. Based on the $\bar{\partial}$-generalization of the Deift--Zhou steepest descent method, we obtain the long-time asymptotic app…

This https://arxiv.org/abs/2505.20720 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNE_…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

This https://arxiv.org/abs/2505.20720 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csNE_…

Hybrid Wave-wind System Power Optimisation Using Effective Ensemble Covariance Matrix Adaptation Evolutionary Algorithm
Floating hybrid wind-wave systems combine offshore wind platforms with wave energy converters (WECs) to create cost-effective and reliable energy solutions. Adequately designed and tuned WECs are essential to avoid unwanted loads disrupting turbine motion while efficiently harvesting wave energy. These systems diversify energy sources, enhancing energy security and reducing supply risks while providing a more consistent power output by smoothing energy production variability. However, optimisin…

This https://arxiv.org/abs/2407.12683 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Information Flow in the FTX Bankruptcy: A Network Approach
This paper investigates the cryptocurrency network of the FTX exchange during the collapse of its native token, FTT, to understand how network structures adapt to significant financial disruptions, by exploiting vertex centrality measures. Using proprietary data on the transactional relationships between various cryptocurrencies, we construct the filtered correlation matrix to identify the most significant relations in the FTX and Binance markets. By using suitable centrality measures - closene…

On $z^\circ$-ideals and annihilator ideals
A. Taherifar
https://arxiv.org/abs/2505.13647 https://arxiv.org/pdf/2505.13647

On $z^\circ$-ideals and annihilator ideals
For $a\in R$, let $P_a$ denote the intersection of all minimal prime ideals of $R$ containing $a$. An ideal $I$ of a ring $R$ is called a $z^{\circ}$-ideal if $P_a\subseteq I$ for all $a\in I$. In this paper, we first investigate the class of $z^{\circ}$-ideals in non-commutative rings. We provide characterizations of $z^{\circ}$-ideals in 2-by-2 generalized triangular matrix rings, full and upper triangular matrix rings, and semiprime rings. Next, we explore new properties of the lattice $rAnn…

This https://arxiv.org/abs/2411.11867 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simply by putting these two topics together. Firstly, we propose a definition of ME models as a subset of CRN models. Secondly, we review a fundamental stability result for boundary points, known in ME as the NGM method since it replaces the investigation of the Jacobian by that of a matrix whose origins lie in probabi…

This https://arxiv.org/abs/2505.09918 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
We describe a family of 1+1 classical integrable space-discrete models of the Landau-Lifshitz type through the usage of ansatz for $U$-$V$ (Lax) pair with spectral parameter satisfying the semi-discrete Zakharov-Shabat equation. The ansatz for $U$-$V$ pair is based on $R$-matrices satisfying the associative Yang-Baxter equation and certain additional properties. Equations of motion are obtained using a set of $R$-matrix identities. In the continuous limit we reproduce the previously known famil…

Coupled integral equations method with open boundary conditions for calculation the characteristics of structured waveguides
M. I. Ayzatsky
https://arxiv.org/abs/2505.13086

Coupled integral equations method with open boundary conditions for calculation the characteristics of structured waveguides
The results of modification of the CASCIE code aimed at implementing open boundary conditions are presented. The accelerator section developed at CERN was chosen as a prototype for the structured waveguide under testing. Results of testing the CASCIE-M code confirms that the implementation of matrix open boundary conditions gives possibility to consider the structure in which waves enter and exit without additional reflections from couplers. It was shown that the dependence of the reflection co…