Tootfinder

Higher-derivative Heterotic Kerr-Sen Black Holes
Peng-Ju Hu, Liang Ma, Yi Pang, Robert J. Saskowski
https://arxiv.org/abs/2506.20077 https://

Higher-derivative Heterotic Kerr-Sen Black Holes
We obtain the four-derivative corrections to the Kerr-Sen solution in heterotic supergravity, which includes the Gibbons-Maeda-Garfinkle-Horowitz-Strominger solution as a limiting case. In particular, we first embed the Kerr solution into heterotic supergravity and compute the higher-derivative corrections. We then obtain the corrections to the Kerr-Sen solution by performing an $O(2,1)$ boost of the Kerr solution, which, in contrast to the two-derivative case, requires field redefinitions to m…

Exact vacuum solution with Hopf structure in general relativity
Junpei Harada
https://arxiv.org/abs/2506.20878 https://arxiv.org/pdf/…

Exact vacuum solution with Hopf structure in general relativity
An exact solution to the vacuum Einstein equations is presented, whose structure is based on the Hopf fibration. The solution employs a geodesic null vector field that defines a twisting congruence and appears in the metric in Kerr-Schild form. This solution is of Petrov type D and involves two parameters. Remarkably, the resulting spacetime is regular, with no curvature singularities. Both the Kretschmann scalar and the Chern-Pontryagin scalar are nonzero and remain finite throughout the space…

We have to talk about burning trash🗑️🔥
Waste incinerators / waste-to-energy plants that generate electricity and heat are an enormous and often underestimated source of CO2 🏭💨🌎. For example, in Germany, a country where waste-to-energy plants are common, their emissions are higher than those of cement.
Waste incinerator operators will often claim that half of their emissions don't count 🌿 or even that they already have net-negative emissions 🌎. I disagree with both 🧵

Just Stop Burning Trash
Waste-to-energy plants are a massive source of carbon dioxide emissions. Yet, it is not obvious what the best solution for high-emitting incinerators would be. Should incinerators be equiped with carbon capture? How much can recycling rates be improved, and what role should chemical recycling play? And could landfills be a carbon storage solution?

“Let us be reminded that before there is a final solution, there must be a first solution, a second one, even a third. The move toward a final solution is not a jump. It takes one step, then another, then another.” ― Toni Morrison, The Source of Self-Regard: Selected Essays, Speeches, and Meditations #quote

The final solution of the Hitchhiker's problem #5
Matja\v{z} Omladi\v{c}, Martin Vuk, Alja\v{z} Zalar
https://arxiv.org/abs/2506.20672 https://

The final solution of the Hitchhiker's problem #5
A recent survey, nicknamed "Hitchhiker's Guide", J.J. Arias-Garcıa, R. Mesiar, and B. De Baets, A hitchhiker's guide to quasi-copulas, Fuzzy Sets and Systems 393 (2020) 1-28, has raised the rating of quasi-copula problems in the dependence modeling community in spite of the lack of statistical interpretation of quasi-copulas. In our previous work (arXiv:2410.19339, accepted in Fuzzy Sets and Systems), we addressed the question of extreme values of the mass distribution associated with multivar…

This https://arxiv.org/abs/2504.21000 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Well-posed Self-Similarity in Incompressible Standard Flows
This article reviews the properties of the self-similar solutions of the Navier-Stokes equation for incompressible fluids. Since any smooth solution can be embedded into a self-similar solution at the identity scale, it follows that under standard flow conditions, the initial solution will remain smooth for all time as long as the self-similar solution is selected to have certain isobaric weight.

Quantum dynamics in confined pseudo-harmonic oscillator in a time-dependent moving
Akash Halder, Amlan K. Roy, Debraj Nath
https://arxiv.org/abs/2506.21280

Quantum dynamics in confined pseudo-harmonic oscillator in a time-dependent moving
In this work, we present analytical solution of Schrödinger equation of confined pseudoharmonic potential in presence of a moving boundary condition, for an arbitrary angular momentum state. It turns out that an important quantity to probe the problem is internuclear distance ratio, which depends on the solution of Ermakov equation. The minimum value of time-dependent (TD) Heisenberg uncertainty product always remains greater than that of the minimum uncertainty product h/2. The TD average ene…

Analytical solution of coupled self--consistency and linearised Usadel equations for the dirty finite--sized superconductor at critical temperature
S. S. Seidov, N. G. Pugach
https://arxiv.org/abs/2506.20557

Analytical solution of coupled self--consistency and linearised Usadel equations for the dirty finite--sized superconductor at critical temperature
In this manuscript we analytically investigate the linearised Usadel equation and the self--consistency equation, defining the critical temperature of the superconducting phase transition of a finite--sized superconductor in the dirty limit. This is a system of coupled differential and integral equations for the anomalous Green function and the order parameter of the superconductor. The formal solution of the system is found for the general case of the linearised boundary conditions, reducing t…

From HOSTS.TXT to Modern Internet Infrastructure
🌐 #hoststxt

From HOSTS.TXT to Modern Internet Infrastructure | AXON Shield
The development of DNS demonstrates an impressive journey from its initial basic form into a modern distributed system which provides high resilience. The internet initially used a basic centralized text file named HOSTS.TXT for its operations. The rapid internet expansion made the initial text file system unworkable so developers created a new solution which could scale dynamically. The system evolves because organizations need better scalability and absolute reliability along with robust secu…

Global properties and stability of transonic plasma acceleration in the magnetic nozzle
N. Sheth, A. Smolyakov, J. Deguire, S. Pande, P. N. Yushmanov
https://arxiv.org/abs/2506.20880

Global properties and stability of transonic plasma acceleration in the magnetic nozzle
It is shown that transonic plasma acceleration in the converging-diverging magnetic field (magnetic nozzle) follows the unique global solution which is fully defined by the magnetic field. Such solution, which was analytically obtained earlier in the paraxial approximation, is compared here with results of the axisymmetric two-dimensional (rz) magnetohydrodynamics(MHD) simulations. It is shown that analytical solution describes well the region near the axis but also can be applied to arbitrary …

Remember when XML-RPC got cool so everyone rushed to haphazardly attach endpoints to their stuff? And then how also everyone found that maybe they should have rushed less to a more complete solution that actually took care of things like… security?
Ok, now: MCP.

Another bullet dodged accidentally…
In this case, the real reason I didn’t recommend 1P for my employer was that I had experienced their enshittification process as an individual user and wasn’t sure how far they might go with a corporate customer.
(I also saw no need for an “enterprise” solution for us at that point and that turned out right.)

A parametric tensor ROM for the shallow water dam break problem
Md Rezwan Bin Mizan, Maxim Olshanskii, Ilya Timofeyev
https://arxiv.org/abs/2506.20007 http…

A parametric tensor ROM for the shallow water dam break problem
We develop a variant of a tensor reduced-order model (tROM) for the parameterized shallow-water dam-break problem. This hyperbolic system presents multiple challenges for model reduction, including a slow decay of the Kolmogorov $N$-width of the solution manifold, shock formation, and the loss of smooth solution dependence on parameters. These issues limit the performance of traditional Proper Orthogonal Decomposition based ROMs. Our tROM approach, based on a low-rank tensor decomposition, buil…

Denkvoer voor het elektriciteitsnetwerk: baseren op hoogste vraag, of inzetten op Non Wire Alternatives om daarmee de netwerkkosten te verlagen?
#energietransitie

Is there a better way to serve retail customers? How about a smaller and cheaper grid connection
Hapless customers have had to pay for an expensive grid design that has delivered a lot of capacity that sits idle most of the time. There is a smarter solution.

Parabolic Anderson Model in the Hyperbolic Space. Part II: Quenched Asymptotics
Xi Geng, Sheng Wang, Weijun Xu
https://arxiv.org/abs/2506.20147 https://

Parabolic Anderson Model in the Hyperbolic Space. Part II: Quenched Asymptotics
We establish the exact quenched asymptotic growth of the solution to the parabolic Anderson model (PAM) in the hyperbolic space with a regular, stationary, time-independent Gaussian potential. More precisely, we show that with probability one, the solution $u$ to PAM with constant initial data has pointwise growth asymptotics \[ u(t,x)\sim e^{L^{*}t^{5/3}+o(t^{5/3})} \] as $t \rightarrow +\infty$. Both the power $t^{5/3}$ on the exponential and the exact value of $L^*$ are different from their …

Starlink says it's experiencing a network outage and is "implementing a solution"; NetBlocks reports that connectivity dropped to "16% of ordinary levels" (Richard Lawler/The Verge)
https://www.theverge.com/news/713359/starlink-down-ou…

Starlink satellite internet service is down everywhere
SpaceX’s satellite internet service, Starlink, is down globally, due to a “network outage.”

Knowledge-Aware Diverse Reranking for Cross-Source Question Answering
Tong Zhou
https://arxiv.org/abs/2506.20476 https://arxiv.org/pd…

Knowledge-Aware Diverse Reranking for Cross-Source Question Answering
This paper presents Team Marikarp's solution for the SIGIR 2025 LiveRAG competition. The competition's evaluation set, automatically generated by DataMorgana from internet corpora, encompassed a wide range of target topics, question types, question formulations, audience types, and knowledge organization methods. It offered a fair evaluation of retrieving question-relevant supporting documents from a 15M documents subset of the FineWeb corpus. Our proposed knowledge-aware diverse reranking RAG …

“Let us be reminded that before there is a final solution, there must be a first solution, a second one, even a third. The move toward a final solution is not a jump. It takes one step, then another, then another.” ― Toni Morrison, The Source of Self-Regard: Selected Essays, Speeches, and Meditations #quote

An Explicit Solution for the Problem of Optimal Investment with Random Endowment
Michael Donisch, Christoph Knochenhauer
https://arxiv.org/abs/2506.20506 h…

An Explicit Solution for the Problem of Optimal Investment with Random Endowment
We consider the problem of optimal investment with random endowment in a Black--Scholes market for an agent with constant relative risk aversion. Using duality arguments, we derive an explicit expression for the optimal trading strategy, which can be decomposed into the optimal strategy in the absence of a random endowment and an additive shift term whose magnitude depends linearly on the endowment-to-wealth ratio and exponentially on time to maturity.

Dynamic Context-Aware Prompt Recommendation for Domain-Specific AI Applications
Xinye Tang, Haijun Zhai, Chaitanya Belwal, Vineeth Thayanithi, Philip Baumann, Yogesh K Roy
https://arxiv.org/abs/2506.20815

Dynamic Context-Aware Prompt Recommendation for Domain-Specific AI Applications
LLM-powered applications are highly susceptible to the quality of user prompts, and crafting high-quality prompts can often be challenging especially for domain-specific applications. This paper presents a novel dynamic context-aware prompt recommendation system for domain-specific AI applications. Our solution combines contextual query analysis, retrieval-augmented knowledge grounding, hierarchical skill organization, and adaptive skill ranking to generate relevant and actionable prompt sugges…

Solution to a problem on isolation of $3$-vertex paths
Karl Bartolo, Peter Borg, Dayle Scicluna
https://arxiv.org/abs/2506.19149 https://

Solution to a problem on isolation of $3$-vertex paths
The $3$-path isolation number of a connected $n$-vertex graph $G$, denoted by $ι(G,P_3)$, is the size of a smallest subset $D$ of the vertex set of $G$ such that the closed neighbourhood $N[D]$ of $D$ in $G$ intersects each $3$-vertex path of $G$, meaning that no two edges of $G-N[D]$ intersect. Zhang and Wu proved that $ι(G,P_3) \leq 2n/7$ unless $G$ is a $3$-path or a $3$-cycle or a $6$-cycle. The bound is attained by infinitely many graphs having induced $6$-cycles. Huang, Zhang and Jin pr…

Online Planning for Cooperative Air-Ground Robot Systems with Unknown Fuel Requirements
Ritvik Agarwal, Behnoushsadat Hatami, Alvika Gautam, Parikshit Maini
https://arxiv.org/abs/2506.20804

Online Planning for Cooperative Air-Ground Robot Systems with Unknown Fuel Requirements
We consider an online variant of the fuel-constrained UAV routing problem with a ground-based mobile refueling station (FCURP-MRS), where targets incur unknown fuel costs. We develop a two-phase solution: an offline heuristic-based planner computes initial UAV and UGV paths, and a novel online planning algorithm that dynamically adjusts rendezvous points based on real-time fuel consumption during target processing. Preliminary Gazebo simulations demonstrate the feasibility of our approach in ma…

Cowboys trying to fix $4.3 million former Commander who retired at 25 https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/26/dallas-cowboys-player-profile-no-77-ol-saahdiq-charles/8438…

If you're looking for a more complete solution to the "visual diff for KiCad" problem, and you have a working Node Typescript setup, try out "typecad-gitdiff". It's not for me, but it might be for you! https://www.npmjs.com/package/@typecad/typecad-gitdiff…

Deep Learning for Glioblastoma Morpho-pathological Features Identification: A BraTS-Pathology Challenge Solution
Juexin Zhang, Ying Weng, Ke Chen
https://arxiv.org/abs/2507.18133

Deep Learning for Glioblastoma Morpho-pathological Features Identification: A BraTS-Pathology Challenge Solution
Glioblastoma, a highly aggressive brain tumor with diverse molecular and pathological features, poses a diagnostic challenge due to its heterogeneity. Accurate diagnosis and assessment of this heterogeneity are essential for choosing the right treatment and improving patient outcomes. Traditional methods rely on identifying specific features in tissue samples, but deep learning offers a promising approach for improved glioblastoma diagnosis. In this paper, we present our approach to the BraTS-P…

Formation of vacuum state and delta-shock in the solution of two-dimensional Riemann problem for zero pressure gas dynamics
Anamika Pandey, T. Raja Sekhar
https://arxiv.org/abs/2507.17213

Formation of vacuum state and delta-shock in the solution of two-dimensional Riemann problem for zero pressure gas dynamics
In this article, we investigate the two-dimensional pressureless Euler equations with three constant Riemann initial data. Our primary focus is on the wave interactions involving contact discontinuities and delta shocks. A distinguishing feature of the solution is the emergence of a delta shock wave which is characterized by a Dirac delta function appearing in both the density and internal energy variables. By exploiting generalized characteristic analysis, nine topologically distinct solution …

Generative AI for Vulnerability Detection in 6G Wireless Networks: Advances, Case Study, and Future Directions
Shuo Yang, Xinran Zheng, Jinfeng Xu, Jinze Li, Danyang Song, Zheyu Chen, Edith C. H. Ngai
https://arxiv.org/abs/2506.20488

Generative AI for Vulnerability Detection in 6G Wireless Networks: Advances, Case Study, and Future Directions
The rapid advancement of 6G wireless networks, IoT, and edge computing has significantly expanded the cyberattack surface, necessitating more intelligent and adaptive vulnerability detection mechanisms. Traditional security methods, while foundational, struggle with zero-day exploits, adversarial threats, and context-dependent vulnerabilities in highly dynamic network environments. Generative AI (GAI) emerges as a transformative solution, leveraging synthetic data generation, multimodal reasoni…

BLOCKS: Blockchain-supported Cross-Silo Knowledge Sharing for Efficient LLM Services
Zhaojiacheng Zhou, Hongze Liu, Shijing Yuan, Hanning Zhang, Jiong Lou, Chentao Wu, Jie Li
https://arxiv.org/abs/2506.21033

BLOCKS: Blockchain-supported Cross-Silo Knowledge Sharing for Efficient LLM Services
The hallucination problem of Large Language Models (LLMs) has increasingly drawn attention. Augmenting LLMs with external knowledge is a promising solution to address this issue. However, due to privacy and security concerns, a vast amount of downstream task-related knowledge remains dispersed and isolated across various "silos," making it difficult to access. To bridge this knowledge gap, we propose a blockchain-based external knowledge framework that coordinates multiple knowledge silos to pr…

Solution Methods and Perturbation Analysis for the Equality-Constrained Total Least Squares Problem over Reduced Biquaternions
Neha Bhadala
https://arxiv.org/abs/2506.18319

Solution Methods and Perturbation Analysis for the Equality-Constrained Total Least Squares Problem over Reduced Biquaternions
This paper proposes a theoretical framework to address the reduced biquaternion equality-constrained total least squares (RBTLSE) problem. The objective is to find an approximate solution to the system $AX \approx B$, subject to linear constraints $CX = D$, while explicitly accounting for errors in both the coefficient matrix $A$ and the observation matrix $B$. We establish conditions under which real and complex solutions exist and develop corresponding solution methods using real and complex …

Proximal aiming in weak KAM theory with nonsmooth Lagrangian
Yurii Averboukh
https://arxiv.org/abs/2506.21373 https://arxiv.org/pdf/2…

Proximal aiming in weak KAM theory with nonsmooth Lagrangian
This work extends weak KAM theory to the case of a nonsmooth Lagrangian satisfying a superlinear growth condition. Using the solution of a weak KAM equation that is a stationary Hamilton-Jacobi equation and the proximal aiming method, we construct a family of discontinuous feedback strategies that are nearly optimal for every time interval. This result leads to an analogue of the weak KAM theorem. Additionally, as in classical weak KAM theory, we demonstrate that the effective Hamiltonian (Mañ…

Coherent six-functor formalisms: Pro vs Solid
Fei Ren
https://arxiv.org/abs/2506.21082 https://arxiv.org/pdf/2506.21082

Coherent six-functor formalisms: Pro vs Solid
In the classical theory for coherent sheaves, the only missing piece in the Grothendieck six-functor formalism picture is $j_!$ for an open immersion $j$. Towards fixing this gap,classically Deligne proposed a construction of $j_!$ by extending the sheaf class to pro sheaves, while Clausen-Scholze provided another solution by extending the sheaf class to solid modules. In this work, we prove that Deligne's construction coincides with the Clausen-Scholze construction via a natural functor, whose…

The solution (or at least a step towards one) would have been the treaty Iran and USA signed, but which Trump withdrew from. https://mastodon.social/@jmcrookston/114727962307106386

A not-too-simple solution to Goodman's new riddle of induction in the age of AI
Luigi Scorzato
https://arxiv.org/abs/2507.17212 https://

A not-too-simple solution to Goodman's new riddle of induction in the age of AI
I review the works of Gärdenfors (1990) and Scorzato (2013) and show that their combination provides an elegant solution of Goodman's new riddle of induction. The solution is based on two main ideas: (1) clarifying what is expected from a solution: understanding that philosophy of science is a science itself, with the same limitations and strengths as other scientific disciplines; (2) understanding that the concept of complexity of a model's assumptions and the concept of direct measurements m…

When the Outlook "Like" button escapes on to the public Internet
https://lists.nanog.org/archives/list/nanog@lists.nanog.org/message/6LTS7KOK5LHQQKP5WGSMEQCFDXLWWCYY/

Exact solution of asymmetric gelation between three walks on the square lattice
Aleksander L Owczarek, Andrew Rechnitzer
https://arxiv.org/abs/2507.17111 https://

Exact solution of asymmetric gelation between three walks on the square lattice
We find and analyse the exact solution of a model of three different polymers with asymmetric contact interactions in two dimensions, modelling a scenario where there are different types of polymers involved. In particular, we find the generating function of three directed osculating walks in star configurations on the square lattice with two interaction Boltzmann weights, so that there is one type of contact interaction between the top pair of walks and a different interaction betw…

Doppler Estimation and Compensation Techniques in LoRa Direct-to-Satellite Communications
Jamil Farhat, Gianni Pasolini, Enrico Paolini, Muhammad Asad Ullah, Richard Demo Souza
https://arxiv.org/abs/2506.20858

Doppler Estimation and Compensation Techniques in LoRa Direct-to-Satellite Communications
Within the LPWAN framework, the LoRa modulation adopted by LoRaWAN technology has garnered significant interest as a connectivity solution for IoT applications due to its ability to offer low-cost, low-power, and long-range communications. One emerging use case of LoRa is DtS connectivity, which extends coverage to remote areas for supporting IoT operations. The satellite IoT industry mainly prefers LEO because it has lower launch costs and less path loss compared to Geostationary orbit. Howeve…

Enable Lightweight and Precision-Scalable Posit/IEEE-754 Arithmetic in RISC-V Cores for Transprecision Computing
Qiong Li, Chao Fang, Longwei Huang, Jun Lin, Zhongfeng Wang
https://arxiv.org/abs/2505.19096

Enable Lightweight and Precision-Scalable Posit/IEEE-754 Arithmetic in RISC-V Cores for Transprecision Computing
While posit format offers superior dynamic range and accuracy for transprecision computing, its adoption in RISC-V processors is hindered by the lack of a unified solution for lightweight, precision-scalable, and IEEE-754 arithmetic compatible hardware implementation. To address these challenges, we enhance RISC-V processors by 1) integrating dedicated posit codecs into the original FPU for lightweight implementation, 2) incorporating multi/mixed-precision support with dynamic exponent size for…

Analytic Full Potential Adjoint Solution for Two-dimensional Subcritical Flows
Carlos Lozano, Jorge Ponsin
https://arxiv.org/abs/2506.16886 https://…

Analytic Full Potential Adjoint Solution for Two-dimensional Subcritical Flows
We investigate the analytic adjoint solution of the two-dimensional (2D) full potential equation for subcritical flows for a cost function measuring aerodynamic force by the Green's function approach and by the connection of the adjoint full potential and compressible Euler equations. The solution for aerodynamic lift is written in terms of two unknown functions encoding the effect of perturbations to the Kutta condition. We analyze the properties of these functions from an analytic viewpoint a…

This https://arxiv.org/abs/1908.03249 has been replaced.
link: https://scholar.google.com/scholar?q=a

Pairwise Rational Points on a Parabola
This paper presents a solution to the following open problem in Number Theory and Geometry: How many points can you find on the (half) parabola $y=x^2$, $x>0$, so that the distance between any pair of them is rational? This problem sounds like a geometry problem, but it is likely to require techniques in number theory. That's because, to determine if the distance between (a,b) and (s,t) is rational, you need to test whether $(a-s)^2$ + $(b-t)^2$ is the square of a rational number...and such que…

Numerical solution of the Lindblad master equation using the Runge-Kutta method implemented in Python
Leonardi Hern\'andez S\'anchez, Iv\'an Alejandro Bocanegra Garay, Ariel Flores Rosas, Ir\'an Ramos Prieto, Francisco Soto Eguibar, H\'ector Manuel Moya Cessa
https://arxiv.org/abs/2506.19238

Numerical solution of the Lindblad master equation using the Runge-Kutta method implemented in Python
The dynamics of open quantum systems is governed by the Lindblad master equation, which provides a consistent framework for incorporating environmental effects into the evolution of the system. Since exact solutions are rarely available, numerical methods become essential tools for analyzing such systems. This article presents a step-by-step implementation of the fourth-order Runge-Kutta method in Python to solve the Lindblad equation for a single quantized field mode subject to decay. A cohere…

Task Allocation of UAVs for Monitoring Missions via Hardware-in-the-Loop Simulation and Experimental Validation
Hamza Chakraa, Fran\c{c}ois Gu\'erin, Edouard Leclercq, Dimitri Lefebvre
https://arxiv.org/abs/2506.20626

Task Allocation of UAVs for Monitoring Missions via Hardware-in-the-Loop Simulation and Experimental Validation
This study addresses the optimisation of task allocation for Unmanned Aerial Vehicles (UAVs) within industrial monitoring missions. The proposed methodology integrates a Genetic Algorithms (GA) with a 2-Opt local search technique to obtain a high-quality solution. Our approach was experimentally validated in an industrial zone to demonstrate its efficacy in real-world scenarios. Also, a Hardware-in-the-loop (HIL) simulator for the UAVs team is introduced. Moreover, insights about the correlatio…

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
Faiek Ahsan, Saptarshi Maiti, Zihao Chen, Jakob Kaiser, Ankita Nandi, Madhuvanthi Srivatsav, Johannes Schemmel, Andreas G. Andreou, Jason Eshraghian, Chetan Singh Thakur, Shantanu Chakrabartty
https://arxiv.org…

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
We report a higher-order neuromorphic Ising machine that exhibits superior scalability compared to architectures based on quadratization, while also achieving state-of-the-art quality and reliability in solutions with competitive time-to-solution metrics. At the core of the proposed machine is an asynchronous autoencoder architecture that captures higher-order interactions by directly manipulating Ising clauses instead of Ising spins, thereby maintaining resource complexity independent of inter…

29 Jul 2025 webinar: That Doesn't Need to Be a PDF
Hear how agencies can design an HTML-first approach for electronic content using “@media print” for a superior printing experience (because yes, some people do use paper) during a panel discussion with experts from FDIC, USAB, and GSA when a PDF document is the proper solution.
h…

Phosphates Reveal High pH Ocean Water on Enceladus
Christopher R. Glein, Ngoc Truong
https://arxiv.org/abs/2506.20937 https://arxiv.o…

Phosphates Reveal High pH Ocean Water on Enceladus
Enceladus offers our best opportunity for exploring the chemistry of an ocean on another world. Here, we perform geochemical modeling to show how the distribution of phosphate species found in ice grains from Enceladus's plume provides a very straightforward constraint on the pH of the host solution. The ratio of HPO$_4$/PO$_4$ species serves as a pH indicator. We find evidence of moderately alkaline water (pH 10.1-11.6)--significantly more alkaline than current estimates (~8-9) of the pH of En…

This https://arxiv.org/abs/2306.17541 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csMS_…

Rigorous Function Calculi in Ariadne
Almost all problems in applied mathematics, including the analysis of dynamical systems, deal with spaces of real-valued functions on Euclidean domains in their formulation and solution. In this paper, we describe the the tool Ariadne, which provides a rigorous calculus for working with Euclidean functions. We first introduce the Ariadne framework, which is based on a clean separation of objects as providing exact, effective, validated and approximate information. We then discuss the function c…

Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
Hao Li, Jie Zhu
https://arxiv.org/abs/2506.17957 https://ar…

Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field \(B_μ\) has a time-like vacuum expectation value \(b_μ\) is studied. We show that in general curved spacetime solutions are not allowed and only the Minkowski spacetime exists. However, it is surprising that a non-trivial solution can be obtained so long as a unique condition for the vacuum expectation \(b^2\equiv -b^μb_μ=2/κ\), where \(κ=8πG\) is satisfied. We argue that naturally this solution i…

Solution of Least Squares Problems with Randomized Preconditioned Normal Equations
Ilse C. F. Ipsen
https://arxiv.org/abs/2507.18466 https://arxiv.org/pdf/…

Solution of Least Squares Problems with Randomized Preconditioned Normal Equations
We consider the solution of full column-rank least squares problems by means of normal equations that are preconditioned, symmetrically or non-symmetrically, with a randomized preconditioner. With an effective preconditioner, the solutions from the preconditioned normal equations are almost as accurate as those from the QR-based Matlab backslash (mldivide) command -- even for highly illconditioned matrices. This means the accuracy of the preconditioned normal equations depends on the residual o…

"AI is gobbling up water it cannot replace – I’m working on a solution"
#AI #ArtificialIntelligence #Technology

AI is gobbling up water it cannot replace – I’m working on a solution
AI is turning up the heat on datacentres, causing their water use to soar.

Numerical solution of quantum Landau-Lifshitz-Gilbert equation
Vahid Azimi-Mousolou, Davoud Mirzaei
https://arxiv.org/abs/2506.19594 https://

Numerical solution of quantum Landau-Lifshitz-Gilbert equation
The classical Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems, yet its classical nature limits its applicability to inherently quantum phenomena such as entanglement and nonlocal correlations. Inspired by the need to incorporate quantum effects into spin dynamics, recently a quantum generalization of the LLG equation is proposed [Phys. Rev. Lett. 133, 266704 (2024)] which captures essential quantum behavior in many-…

Instruction and Solution Probabilities as Heuristics for Inductive Programming
Edward McDaid, Sarah McDaid
https://arxiv.org/abs/2506.13804 https://…

Instruction and Solution Probabilities as Heuristics for Inductive Programming
Instruction subsets (ISs) are heuristics that can shrink the size of the inductive programming (IP) search space by tens of orders of magnitude. Here, we extend the IS approach by introducing instruction and solution probabilities as additional heuristics. Instruction probability reflects the expectation of an instruction occurring in a solution, based on the frequency of instruction occurrence in a large code sample. The solution probability for a partial or complete program is simply the prod…

Yes, I know it's a shit-hole.
But in the last days I found a solution to 2 pretty challenging problems. One, how to get to a samba share from within VoidLinux (no, the standard ones didn't work, and I run a wm).
Most importantly: looks like the 'open an application on a specific tag and switch focus to that on River wm' issue has been finally cracked!
Both solutions I found on Reddit.
Yes, Reddit, that cesspool of nonsense.
Imagine how good it coul…

Inhibition of whisker growth by crafting more decomposition-resistant Ti2SnC MAX phase through vanadium solid solution
Haifeng Tang, Xiaodan Yin, Peigen Zhang, Victor Karpov, Vamsi Borra, Zhihua Tian, Wei Zheng, Jianxiang Ding, ZhengMing Sun
https://arxiv.org/abs/2506.15802

Inhibition of whisker growth by crafting more decomposition-resistant Ti2SnC MAX phase through vanadium solid solution
The exceptional synergy of ceramic and metallic properties within MAX phases positions them as highly promising for a wide array of applications. However, their stability has been threatened by the phenomenon of A-site metal whisker growth. Herein, we have significantly mitigated tin whisker growth in Ti2SnC by incorporating vanadium solutes at its M-site. With an increase in vanadium concentration, there is a marked reduction in the degree of decomposition of the M-site solid solution when sub…

Reconfigurable Antenna Arrays With Tunable Loads: Expanding Solution Space via Coupling Control
Elio Faddoul, Konstantinos Ntougias, Ioannis Krikidis
https://arxiv.org/abs/2507.15074

Reconfigurable Antenna Arrays With Tunable Loads: Expanding Solution Space via Coupling Control
The emerging reconfigurable antenna (RA) array technology promises capacity enhancement through dynamic antenna positioning. Traditional approaches enforce half-wavelength or greater spacing among RA elements to avoid mutual coupling, limiting the solution space. Additionally, achieving sufficient spatial channel sampling requires numerous discrete RA positions (ports), while high-frequency scenarios with hybrid processing demand many physical RAs to maintain array gains. This leads to exponent…

Bosonized theory of de Haas-van Alphen quantum oscillation in Fermi liquids
Yuxuan Wang
https://arxiv.org/abs/2506.20735 https://arxi…

Bosonized theory of de Haas-van Alphen quantum oscillation in Fermi liquids
The de Haas-van Alphen effect (dHvA) of a 2d Fermi liquid remains poorly understood, due to the $\sim\mathcal{O}(1)$ contribution to the oscillations of grand potential from the oscillatory part of the fermionic self energy, which has no known closed-form solution. In this work, we solve this problem via coadjoint-orbit bosonization of the Fermi surface. Compared with the fermionic formalism, the issue of the oscillatory self energy is circumvented. As an effective field theory, Landau paramete…

Changing the discrete spectrum of the half-line matrix Schr\"odinger operator
Tuncay Aktosun, Ricardo Weder
https://arxiv.org/abs/2506.17882 https://

Changing the discrete spectrum of the half-line matrix Schrödinger operator
We consider the matrix-valued Schrödinger operator on the half line with the general selfadjoint boundary condition. When the discrete spectrum is changed without changing the continuous spectrum, we present a review of the transformations of the relevant quantities including the regular solution, the Jost solution, the Jost matrix, the scattering matrix, and the boundary matrices used to describe the selfadjoint boundary condition. The changes in the discrete spectrum are considered when an e…

A SHACL-based Data Consistency Solution for Contract Compliance Verification
Robert David, Albin Ahmeti, Geni Bushati, Amar Tauqeer, Anna Fensel
https://arxiv.org/abs/2507.15420

A SHACL-based Data Consistency Solution for Contract Compliance Verification
In recent years, there have been many developments for GDPR-compliant data access and sharing based on consent. For more complex data sharing scenarios, where consent might not be sufficient, many parties rely on contracts. Before a contract is signed, it must undergo the process of contract negotiation within the contract lifecycle, which consists of negotiating the obligations associated with the contract. Contract compliance verification (CCV) provides a means to verify whether a contract is…

Join Radu Pop and Pietro Mele at Berlin Buzzwords as they discuss building an extensible hybrid search solution with Elasticsearch. They will cover functional modeling, cluster architecture, and practical insights on managing billions of vectors in real-world scenarios. Radu and Pietro will also address hybrid reranking challenges and the limitations of standard fusion techniques, explaining their innovative approach.
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Attitude Control of Solar Sail with Reflectivity Control Devices
Pierce S. Boughton, Yang Yang
https://arxiv.org/abs/2505.19865 https://

Attitude Control of Solar Sail with Reflectivity Control Devices
Solar sails offer a promising solution for fuel free propulsion, enabling novel mission profiles and deeper space exploration. While reaction wheels are standard for spacecraft attitude control, the large moment of inertia of solar sails often lead to frequent reaction wheel saturation, necessitating momentum offloading via additional control methods. Magnetorquers have historically been used for this purpose. This paper investigates Reflectivity Control Devices (RCDs) as an alternative method …

Sets avoiding a rainbow solution to the generalized Schur equation
Ervin Gy\H{o}ri, Zhen He, Zequn Lv, Nika Salia, Casey Tompkins, Kitti Varga, Xiutao Zhu
https://arxiv.org/abs/2506.17117

Sets avoiding a rainbow solution to the generalized Schur equation
A classical result in combinatorial number theory states that the largest subset of $[n]$ avoiding a solution to the equation $x+y=z$ is of size $\lceil n/2 \rceil$. For all integers $k>m$, we prove multicolored extensions of this result where we maximize the sum and product of the sizes of sets $A_1,A_2,\dots,A_k \subseteq [n]$ avoiding a rainbow solution to the Schur equation $x_1+x_2+\dots+x_m=x_{m+1}$. Moreover, we determine all the extremal families.

A nontopological soliton with a dipole chromomagnetic field
A. Yu. Loginov
https://arxiv.org/abs/2506.20281 https://arxiv.org/pdf/250…

A nontopological soliton with a dipole chromomagnetic field
A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core surrounded by a Q-ball-like shell, the existence of radially excited states, and a long-range dipole chromomagnetic field. The properties of the soliton are studied using analytical and numerical methods. In particular, the asymptotic dependencies of the ene…

A Zeroth-Order Extra-Gradient Method For Black-Box Constrained Optimization
Yuke Zhou, Ruiyang Jin, Siyang Gao, Jianxiao Wang, Jie Song
https://arxiv.org/abs/2506.20546

A Zeroth-Order Extra-Gradient Method For Black-Box Constrained Optimization
Non-analytical objectives and constraints often arise in control systems, particularly in problems with complex dynamics, which are challenging yet lack efficient solution methods. In this work, we consider general constrained optimization problems involving black-box objectives and constraints. To solve it, we reformulate it as a min-max problem and propose a zeroth-order extra gradient (ZOEG) algorithm that combines the extra gradient method with a feedback-based stochastic zeroth-order gradi…

Efficient Optimization Accelerator Framework for Multistate Ising Problems
Chirag Garg, Sayeef Salahuddin
https://arxiv.org/abs/2505.20250 https://

Efficient Optimization Accelerator Framework for Multistate Ising Problems
Ising Machines are a prominent class of hardware architectures that aim to solve NP-hard combinatorial optimization problems. These machines consist of a network of interacting binary spins/neurons that evolve to represent the optimum ground state energy solution. Generally, combinatorial problems are transformed into quadratic unconstrained binary optimization (QUBO) form to harness the computational efficiency of these Ising machines. However, this transformation, especially for multi-state p…

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
Jhih-Hong Lyu, Tai-Chia Lin
https://arxiv.org/abs/2506.20953 …

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
We study the boundary layer solution to singular perturbation problems involving Poisson-Boltzmann (PB) type equations with a small parameter $ε$ in general bounded smooth domains (including multiply connected domains) under the Robin boundary condition. The PB type equations include the classical PB, modified PB and charge-conserving PB (CCPB) equations, which are mathematical models for the electric potential and ion distributions. The CCPB equations present particular analytical challenges …

High-quality metalens enables minimally invasive CFB endoscopy
Ruixiang Song, Xutong Lu, Xiyao Song, Shuaihong Qi, Feng Wang, Jiaqi Cui, Zhangyuan Chen, Yanping Li
https://arxiv.org/abs/2506.21379

High-quality metalens enables minimally invasive CFB endoscopy
Metalenses, owing to their ultra-thin planar structures, present a promising solution for reducing endoscopic invasiveness. However, achieving high-quality imaging with minimal invasiveness (short focal length of metalens) remains a critical challenge. This paper presents a deep learning assisted metalens with a 1mm focal length (corresponding to NA = 0.447) tailored for coherent fiber bundle, constituting the least invasive metalens-CFB system reported to date. To overcome the increased chroma…

Evaluation of the Transfer Matrix of a Plasma Ramp with Squared Cosine Shape via an Approximate Solution of the Mathieu Differential Equation
Stefano Romeo, Angelo Biagioni, Lucio Crincoli, Alessio Del Dotto, Massimo Ferrario, Anna Giribono, Gianmarco Parise, Andrea Renato Rossi, Gilles Jacopo Silvi, Cristina Vaccarezza
https://arxiv.org/a…

Evaluation of the Transfer Matrix of a Plasma Ramp with Squared Cosine Shape via an Approximate Solution of the Mathieu Differential Equation
The high longitudinal electric fields generated in plasma wakefields are very attractive for a new generation of high gradient plasma based accelerators. On the other hand, the strong transverse fields increase the demand for a proper matching device in order to avoid the spoiling of beam transverse quality. A solution can be provided by the use of a plasma ramp, a region at the plasma injection/extraction with smoothly increasing/decreasing plasma density. The transport of a beam inside a plas…

Parabolic Anderson Model in the Hyperbolic Space. Part I: Annealed Asymptotics
Xi Geng, Weijun Xu
https://arxiv.org/abs/2506.20146 https://

Parabolic Anderson Model in the Hyperbolic Space. Part I: Annealed Asymptotics
We establish the second-order moment asymptotics for a parabolic Anderson model $\partial_{t}u=(Δ+ξ)u$ in the hyperbolic space with a regular, stationary Gaussian potential $ξ$. It turns out that the growth and fluctuation asymptotics both are identical to the Euclidean situation. As a result, the solution exhibits the same moment intermittency property as in the Euclidean case. An interesting point here is that the fluctuation exponent is determined by a variational problem induced by the E…

Generation of Synthetic Clinical Text: A Systematic Review
Basel Alshaikhdeeb, Ahmed Abdelmonem Hemedan, Soumyabrata Ghosh, Irina Balaur, Venkata Satagopam
https://arxiv.org/abs/2507.18451

Generation of Synthetic Clinical Text: A Systematic Review
Generating clinical synthetic text represents an effective solution for common clinical NLP issues like sparsity and privacy. This paper aims to conduct a systematic review on generating synthetic medical free-text by formulating quantitative analysis to three research questions concerning (i) the purpose of generation, (ii) the techniques, and (iii) the evaluation methods. We searched PubMed, ScienceDirect, Web of Science, Scopus, IEEE, Google Scholar, and arXiv databases for publications asso…

LOCOFY Large Design Models -- Design to code conversion solution
Sohaib Muhammad, Ashwati Vipin, Karan Shetti, Honey Mittal
https://arxiv.org/abs/2507.16208

LOCOFY Large Design Models -- Design to code conversion solution
Despite rapid advances in Large Language Models and Multimodal Large Language Models (LLMs), numerous challenges related to interpretability, scalability, resource requirements and repeatability remain, related to their application in the design-to-code space. To address this, we introduce the Large Design Models (LDMs) paradigm specifically trained on designs and webpages to enable seamless conversion from design-to-code. We have developed a training and inference pipeline by incorporating dat…

First-order methods for stochastic and finite-sum convex optimization with deterministic constraints
Zhaosong Lu, Yifeng Xiao
https://arxiv.org/abs/2506.20630

First-order methods for stochastic and finite-sum convex optimization with deterministic constraints
In this paper, we study a class of stochastic and finite-sum convex optimization problems with deterministic constraints. Existing methods typically aim to find an $ε$-$expectedly\ feasible\ stochastic\ optimal$ solution, in which the expected constraint violation and expected optimality gap are both within a prescribed tolerance $ε$. However, in many practical applications, constraints must be nearly satisfied with certainty, rendering such solutions potentially unsuitable due to the risk of…

Building multi-BTZ black holes through Riemann-Hilbert problem
Jun-ichi Sakamoto, Shinya Tomizawa
https://arxiv.org/abs/2506.19310 https://

Building multi-BTZ black holes through Riemann-Hilbert problem
We construct a recently found class of non-BPS black hole solutions with asymptotically $AdS_3\times S^3\times T^4$ in type IIB supergravity, consisting of multiple BTZ black holes localized on an $S^3$, within the group theoretical framework of Breitenlohner and Maison (BM). Starting with the multi-neutral black string solution as a seed, we solve the associated Riemann-Hilbert problem for the BM linear system. First, we determine the monodromy matrix corresponding to this seed solution by gen…

"Turning closed coal mines into solar farms could power a country the size of Germany, report finds"
#Germany #CoalMine #SolarPower

Report reveals huge solar power potential of abandoned coal mines
“The same ground that powered the industrial era can help power the climate solutions we now urgently need,” analysts say of the 300 GW solution.

Fast solution of a phase-field model of pitting corrosion
Gianluca Frasca-Caccia, Dajana Conte, Beatrice Paternoster
https://arxiv.org/abs/2506.18058 https…

Fast solution of a phase-field model of pitting corrosion
Excessive computational times represent a major challenge in the solution of corrosion models, limiting their practical applicability, e.g., as a support to predictive maintenance. In this paper, we propose an efficient strategy for solving a phase-field model for metal corrosion. Based on the Kronecker structure of the diffusion matrix in classical finite difference approximations on rectangular domains, time-stepping IMEX methods are efficiently solve in matrix form. However, when the domain …

Dimension of the isometry group in type N vacuum solutions: an IDEAL approach
Juan Antonio S\'aez, Salvador Mengual, Joan Josep Ferrando
https://arxiv.org/abs/2506.20427

Dimension of the isometry group in type N vacuum solutions: an IDEAL approach
The necessary and sufficient conditions for a type N vacuum solution (with cosmological constant) to admit a group of isometries of dimension $r$ are given in terms of the invariant concomitants of the Weyl tensor. This study requires defining several invariant classes, and for each class, the conditions that determine the dimension are given. Thus, an IDEAL (Intrinsic, Deductive, Explicit and ALgorithmic) characterisation of these spacetimes follows. Some examples show that our algorithmic res…

This https://arxiv.org/abs/2504.21000 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Well-posed Self-Similarity in Incompressible Standard Flows
This article reviews the properties of the self-similar solutions of the Navier-Stokes equation for incompressible fluids. Since any smooth solution can be embedded into a self-similar solution at the identity scale, it follows that under standard flow conditions, the initial solution will remain smooth for all time as long as the self-similar solution is selected to have certain isobaric weight.

Autonomous UAV Navigation for Search and Rescue Missions Using Computer Vision and Convolutional Neural Networks
Luka \v{S}iktar, Branimir \'Caran, Bojan \v{S}ekoranja, Marko \v{S}vaco
https://arxiv.org/abs/2507.18160

Autonomous UAV Navigation for Search and Rescue Missions Using Computer Vision and Convolutional Neural Networks
In this paper, we present a subsystem, using Unmanned Aerial Vehicles (UAV), for search and rescue missions, focusing on people detection, face recognition and tracking of identified individuals. The proposed solution integrates a UAV with ROS2 framework, that utilizes multiple convolutional neural networks (CNN) for search missions. System identification and PD controller deployment are performed for autonomous UAV navigation. The ROS2 environment utilizes the YOLOv11 and YOLOv11-pose CNNs for…

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
David Lee
https://arxiv.org/abs/2506.20121 https://

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
Existence of the fundamental solution of the logarithmic Laplacian (in dimensions $d \geq 3$) was established by Huyuan Chen and Laurent Véron (2024). In this note, we present an alternative approach, based on a modification on the classical division problem. This is inspired by the theory of fundamental solutions by Malgrange and Ehrenpreis. Moreover, we give a variant of the Liouville theorem for the logarithmic Laplacian and give some further clarification regarding a conjecture posed by Ch…

Block Coordinate Descent Network Simplex for Optimal Transport
Lingrui Li, Nobuo Yamashita
https://arxiv.org/abs/2506.21231 https://a…

Block Coordinate Descent Network Simplex for Optimal Transport
We propose the Block Coordinate Descent Network Simplex (BCDNS) method for solving large-scale discrete Optimal Transport (OT) problems. BCDNS integrates the Network Simplex (NS) algorithm with a block coordinate descent (BCD) strategy, decomposing the full problem into smaller subproblems per iteration and reusing basis variables to ensure feasibility. We prove that BCDNS terminates in a finite number of iterations with an exact optimal solution, and we characterize its per-iteration complexit…

DPG loss functions for learning parameter-to-solution maps by neural networks
Pablo Cort\'es Castillo, Wolfgang Dahmen, Jay Gopalakrishnan
https://arxiv.org/abs/2506.18773

DPG loss functions for learning parameter-to-solution maps by neural networks
We develop, analyze, and experimentally explore residual-based loss functions for machine learning of parameter-to-solution maps in the context of parameter-dependent families of partial differential equations (PDEs). Our primary concern is on rigorous accuracy certification to enhance prediction capability of resulting deep neural network reduced models. This is achieved by the use of variationally correct loss functions. Through one specific example of an elliptic PDE, details for establishin…

Solution to some conjectures on mobile position problems
Ethan Shallcross, James Tuite, Aoise Evans, Aditi Krishnakumar, Sumaiyah Boshar
https://arxiv.org/abs/2507.16622

Solution to some conjectures on mobile position problems
The general position problem for graphs asks for the largest number of vertices in a subset $S \subseteq V(G)$ of a graph $G$ such that for any $u,v \in S$ and any shortest $u,v$-path $P$ we have $S \cap V(P) = \{ u,v\} $, whereas the mutual visibility problem requires only that for any $u,v \in S$ there exists a shortest $u,v$-path with $S \cap V(P) = \{ u,v\} $. In the mobile versions of these problems, robots must move through the network in general position/mutual visibility such that every…

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- P-adic integrals: A solution to the p-adic Schrodinger Equation
Haonan Gu

MoRPI-PINN: A Physics-Informed Framework for Mobile Robot Pure Inertial Navigation
Arup Kumar Sahoo, Itzik Klein
https://arxiv.org/abs/2507.18206 https://a…

MoRPI-PINN: A Physics-Informed Framework for Mobile Robot Pure Inertial Navigation
A fundamental requirement for full autonomy in mobile robots is accurate navigation even in situations where satellite navigation or cameras are unavailable. In such practical situations, relying only on inertial sensors will result in navigation solution drift due to the sensors' inherent noise and error terms. One of the emerging solutions to mitigate drift is to maneuver the robot in a snake-like slithering motion to increase the inertial signal-to-noise ratio, allowing the regression of the…

Shape sensitivity analysis of the heat equation and the Dirichlet-to-Neumann map
Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
https://arxiv.org/abs/2506.21196

Shape sensitivity analysis of the heat equation and the Dirichlet-to-Neumann map
We study a Dirichlet problem for the heat equation in a domain containing an interior hole. The domain has a fixed outer boundary and a variable inner boundary determined by a diffeomorphism $ϕ$. We analyze the maps that assign to the infinite-dimensional shape parameter $ϕ$ the corresponding solution and its normal derivative, and we prove that both are smooth. Motivated by an application to an inverse problem, we then compute the differential with respect to $ϕ$ of the normal derivative of…

On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution
Gokhan Alkac, Murat Mesta, Gonul Unal
https://arxiv.org/abs/2507.16780

On the consistency of non-commutative geometry inspired Reissner-Nordström black hole solution
We revisit the non-commutative geometry inspired Reissner-Nordström black hole solution obtained by smearing the point sources with a Gaussian distribution. We show that while the form of the metric function and the physical properties derived from that remain valid, not all the components of Einstein equations are satisfied. We construct an improved energy-momentum tensor that consistently satisfies Einstein equations and show that it leads to a different prediction for the region where the s…

An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
Lena Baumann, Lukas Einkemmer, Christian Klingenberg, Jonas Kusch
https://arxiv.org/abs/2506.21405

An adaptive dynamical low-rank optimizer for solving kinetic parameter identification inverse problems
The numerical solution of parameter identification inverse problems for kinetic equations can exhibit high computational and memory costs. In this paper, we propose a dynamical low-rank scheme for the reconstruction of the scattering parameter in the radiative transfer equation from a number of macroscopic time-independent measurements. We first work through the PDE constrained optimization procedure in a continuous setting and derive the adjoint equations using a Lagrangian reformulation. For …

Identifying Solution Constraints for ODE Systems
Nicolae Tarfulea
https://arxiv.org/abs/2507.15805 https://arxiv.org/pdf/2507.15805…

Identifying Solution Constraints for ODE Systems
This work develops a framework to discover relations between the components of the solution to a given initial-value problem for a first-order system of ordinary differential equations. This is done by using sparse identification techniques on the data represented by the numerical solution of the initial-value problem at hand. The only assumption is that there are only a few terms that connects the components, so that the mathematical relations to be discovered are sparse in the set of possible…

On the $AdS_5\times S^5$ Solution of Superstring Field Theory
Minjae Cho, Jo\~ao Gomide, Jaroslav Scheinpflug, Xi Yin
https://arxiv.org/abs/2507.12921 http…

On the $AdS_5\times S^5$ Solution of Superstring Field Theory
We determine the $AdS_5\times S^5$ solution of type IIB superstring field theory (SFT) to the third order in the expansion with respect to Ramond-Ramond (RR) flux, demonstrate its supersymmetry from the SFT gauge transformations, and identify the massless RR axion in the spectrum of linearized fluctuations. We present an all-order solution in the pp-wave limit and comment on potential obstructions to, and the existence of, the all-order $AdS_5\times S^5$ solution.

Axisymmetric self-similar solutions to the MHD equations without magnetic diffusion
Shaoheng Zhang
https://arxiv.org/abs/2506.20131 https://

Axisymmetric self-similar solutions to the MHD equations without magnetic diffusion
We study the axisymmetric self-similar solutions $(\mathbf{u},\mathbf{B})$ to the stationary MHD equations without magnetic diffusion, where $\mathbf{B}$ has only the swirl component. Our first result states that in $\mathbb{R}^3\setminus\{0\}$, $\mathbf{u}$ is a Landau solution and $\mathbf{B}=0$. Our second result proves the triviality of axisymmetric self-similar solutions in the half-space $\mathbb{R}^3_+$ with the no-slip boundary condition or the Navier slip boundary condition.

Runge--Kutta generalized Convolution Quadrature for sectorial problems
Jing Guo, Maria Lopez-Fernandez
https://arxiv.org/abs/2506.21242 https://

Runge--Kutta generalized Convolution Quadrature for sectorial problems
We study the application of the generalized convolution quadrature (gCQ) based on Runge--Kutta methods to approximate the solution of an important class of sectorial problems. The gCQ generalizes Lubich's original convolution quadrature (CQ) to variable steps. High-order versions of the gCQ have been developed in the last decade, relying on certain Runge--Kutta methods. The Runge--Kutta based gCQ has been studied so far in a rather general setting, which includes applications to boundary integr…

Generalised Harrison transformations and black diholes in Einstein-ModMax
Ana Bokuli\'c, Carlos A. R. Herdeiro
https://arxiv.org/abs/2507.16926 https://

Generalised Harrison transformations and black diholes in Einstein-ModMax
Einstein-Maxwell theory has powerful solution generating techniques which include Harrison transformations in the Ernst formalism. We construct generalized Harrison transformations that preserve the purely magnetic or purely electric sector in Einstein-ModMax (EMM) theory. Thus, they serve as solution generating techniques within these sectors for this model of non-linear electrodynamics minimally coupled to gravity. As an application we rederive several known exact solutions of EMM and a new s…

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
https://arxiv.org/abs/2506.21437

Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
We prove a new linearization principle for the nonlinear stability of solutions to semilinear evolution equations of parabolic type. We assume that the set of equilibria forms a finite dimensional manifold of normally stable and normally hyperbolic equilibria. In addition, we assume that the linearized operator is the generator of an analytic semigroup (not necessarily stable). We show that if a mild solution to our evolution equation exists globally in time and remains ``close'' to the manifol…

Stochastic particle method with birth-death dynamics
Zhengyang Lei, Sihong Shao
https://arxiv.org/abs/2506.20201 https://arxiv.org/pd…

Stochastic particle method with birth-death dynamics
In order to numerically solve high-dimensional nonlinear PDEs and alleviate the curse of dimensionality, a stochastic particle method (SPM) has been proposed to capture the relevant feature of the solution through the adaptive evolution of particles [J. Comput. Phys. 527 (2025) 113818]. In this paper, we introduce an active birth-death dynamics of particles to improve the efficiency of SPM. The resulting method, dubbed SPM-birth-death, sample new particles according to the nonlinear term and ex…

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations
Ricardo Alonso, Maria Pia Gualdani, Weiran Sun
https://arxiv.org/abs/2506.20775 ht…

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations
We introduce an $\mathcal{M}$-operator approach to establish the uniqueness of continuous or bounded solutions for a broad class of Landau-type nonlinear kinetic equations. The specific $\mathcal{M}$-operator, originally developed in [3], acts as a negative fractional derivative in both spatial and velocity variables and interacts in a controllable manner with the kinetic transport operator. The novelty of this method is that it bypasses the need for bounds on the derivatives of the solution - …

An Iterative Methodology for Unitary Quantum Channel Search
Matthew M. Lin, Hao-Wei Huang, Bing-Ze Lu
https://arxiv.org/abs/2506.21455 https://

An Iterative Methodology for Unitary Quantum Channel Search
In this paper, we propose an iterative algorithm using polar decomposition to approximate a channel characterized by a single unitary matrix based on input-output quantum state pairs. In limited data, we state and prove that the optimal solution obtained from our method using one pair with a specific structure will generate an equivalent class, significantly reducing the dimension of the searching space. Furthermore, we prove that the unitary matrices describing the same channel differ by a com…

The gravitational wave echoes from the black hole with three-form fields
Natthason Autthisin, Supakchai Ponglertsakul, Daris Samart
https://arxiv.org/abs/2506.18815

The gravitational wave echoes from the black hole with three-form fields
In this work, we study of massless three-form black hole, where the three-form fields are higher $p$-form gauge fields with $p=3$. These give rise to the Schwarzschild-de Sitter (Sch-dS)-like solution through an effective cosmological constant represented by $a_1$. We analyze this solution under gravitational perturbations and find that it exhibits a single-peak potential. For this case, no echoes are produced. Furthermore, we consider the massive case of the three-form fields by introducing a …

A quasi-Grassmannian gradient flow model for eigenvalue problems
Shengyue Wang, Aihui Zhou
https://arxiv.org/abs/2506.20195 https://a…

A quasi-Grassmannian gradient flow model for eigenvalue problems
We propose a quasi-Grassmannian gradient flow model for eigenvalue problems of linear operators, aiming to efficiently address many eigenpairs. Our model inherently ensures asymptotic orthogonality: without the need for initial orthogonality, the solution naturally evolves toward being orthogonal over time. We establish the well-posedness of the model, and provide the analytical representation of solutions. Through asymptotic analysis, we show that the gradient converges exponentially to zero a…

Efficient parameter-robust preconditioners for linear poroelasticity and elasticity in the primal formulation
Weizhang Huang, Zhuoran Wang
https://arxiv.org/abs/2506.21361

Efficient parameter-robust preconditioners for linear poroelasticity and elasticity in the primal formulation
Poroelasticity problems play an important role in various engineering, geophysical, and biological applications. Their full discretization results in a large-scale saddle-point system at each time step that is becoming singular for locking cases and needs effective preconditioners for its fast iterative solution. Instead of constructing spectrally equivalent ones, we develop nonsingular preconditioners so that the eigenvalues of the preconditioned system consist of a cluster around $1$ and an o…

EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation
Daniel Appelo, Jeffrey W. Banks, William D. Henshaw, Ngan Le, Donald W. Schwendeman
https://arxiv.org/abs/2507.18282

EigenWave: An Optimal O(N) Method for Computing Eigenvalues and Eigenvectors by Time-Filtering the Wave Equation
An algorithm named EigenWave is described to compute eigenvalues and eigenvectors of elliptic boundary value problems. The algorithm, based on the recently developed WaveHoltz scheme, solves a related time-dependent wave equation as part of an iteration. At each iteration, the solution to the wave equation is filtered in time. As the iteration progresses, the filtered solution generally contains relatively larger and larger proportions of eigenmodes whose eigenvalues are near a chosen target fr…

Multicontinuum Homogenization for Poroelasticity Model
Dmitry Ammosov, Mohammed Al-Kobaisi, Yalchin Efendiev
https://arxiv.org/abs/2506.20890 https://

Multicontinuum Homogenization for Poroelasticity Model
In this paper, we derive multicontinuum poroelasticity models using the multicontinuum homogenization method. Poroelasticity models are widely used in many areas of science and engineering to describe coupled flow and mechanics processes in porous media. However, in many applications, the properties of poroelastic media possess high contrast, presenting serious computational challenges. It is well known that standard homogenization approaches often fail to give an accurate solution due to the l…

Deep random difference method for high dimensional quasilinear parabolic partial differential equations
Wei Cai, Shuixin Fang, Tao Zhou
https://arxiv.org/abs/2506.20308

Deep random difference method for high dimensional quasilinear parabolic partial differential equations
Solving high-dimensional parabolic partial differential equations (PDEs) with deep learning methods is often computationally and memory intensive, primarily due to the need for automatic differentiation (AD) to compute large Hessian matrices in the PDE. In this work, we propose a deep random difference method (DRDM) that addresses these issues by approximating the convection-diffusion operator using only first-order differences and the solution by deep neural networks, thus, avoiding explicit H…