Tootfinder

$\mathbb{G}$-uniform weighted K-stability for models on klt varieties
Jiyuan Han, Yaxiong Liu
https://arxiv.org/abs/2506.18039 https://

$\mathbb{G}$-uniform weighted K-stability for models on klt varieties
In this paper, we make a generalization of the results in \cite{Li22a} to the singular and weighted setting. In particular, we show that on a polarized projective klt variety, the $\mathbb{G}$-uniform weighted K-stability for models implies the $\mathbb{G}$-coercivity of the weighted Mabuchi functional. In the toric case, we further show that the $(\mathbb{C}^{\times})^n$-uniform $(\mathrm{v},\mathrm{w}\cdot\ell_{\mathrm{ext}})$-weighted K-stability is preserved when perturbing the polarization…

Stability of universal properties against perturbations of the Markov Chain Monte Carlo algorithm
Matteo Bacci, Claudio Bonati
https://arxiv.org/abs/2506.18561

Stability of universal properties against perturbations of the Markov Chain Monte Carlo algorithm
We numerically investigate the stability of universal properties at continuous phase transitions against perturbations of the Markov Chain Monte Carlo algorithm used to simulate the system. We consider the three dimensional XY model as test bed, and both local (single site Metropolis) and global (single cluster) updates, introducing deterministic truncation-like perturbations and stochastic perturbations in the acceptance probabilities. In (almost) all the cases we find a remarkable stability o…

#DNS Blocking Revisited, an #ICANN Security and Stability Advisory Committee (SSAC) report

Global linear stability of the bubble rising in the presence of a soluble surfactant
M. A. Herrada, J. M. L\'opez-Herrera, D. Fern\'andez-Mart\'inez, M. G. Cabezas, J. M. Montanero
https://arxiv.org/abs/2506.16933

Global linear stability of the bubble rising in the presence of a soluble surfactant
We study the stability of the bubble rising in the presence of a soluble surfactant numerically and experimentally. For the surfactant concentration considered, the Marangoni stress almost immobilizes the interface. However, the non-zero surface velocity is crucial to understanding the surfactant behavior. The global linear stability analysis predicts the transition to an oblique path above the threshold of the Galilei number (the bubble radius). This transition is followed by the coexistence o…

Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle
Kota Yoshioka
https://arxiv.org/abs/2506.17567 https:/…

Preservation of stability under the Fourier-Mukai transform whose kernel is the Poincare line bundle
For a Fourier-Mukai transform whose kernel is the Poincare line bundle, we study the preservation of Gieseker stability of sheaves on any abelian surface.

Aperiodic-sampled neural network controllers with closed-loop stability verifications (extended version)
Renjie Ma, Zhijian Hu, Rongni Yang, Ligang Wu
https://arxiv.org/abs/2506.18386

Aperiodic-sampled neural network controllers with closed-loop stability verifications (extended version)
In this paper, we synthesize two aperiodic-sampled deep neural network (DNN) control schemes, based on the closed-loop tracking stability guarantees. By means of the integral quadratic constraint coping with the input-output behaviour of system uncertainties/nonlinearities and the convex relaxations of nonlinear DNN activations leveraging their local sector-bounded attributes, we establish conditions to design the event- and self-triggered logics and to compute the ellipsoidal inner approximati…

Dammit AMD, I switched over from the 4070Ti for stability...
#amdgpu #linux

Boundedness and asymptotic stability of classical solutions to a model for tuberculosis granuloma formation
Masaaki Mizukami, Yuya Tanaka
https://arxiv.org/abs/2506.16752

Boundedness and asymptotic stability of classical solutions to a model for tuberculosis granuloma formation
This paper deals with a problem which describes tuberculosis granuloma formation \begin{align*} \begin{cases} u_t = Δu - \nabla \cdot (u \nabla v) - uv - u + β, &x \in Ω,\ t>0, \\ v_t = Δv + v -uv + μw, &x \in Ω,\ t>0, \\ w_t = Δw + uv - wz - w, &x \in Ω,\ t>0, \\ z_t = Δz - \nabla \cdot (z \nabla w) + f(w)z -z, &x \in Ω,\ t>0 \end{cases} \end{align*} under homogeneous Neumann boundary conditions and initial conditions, where $Ω\subset \mathbb{R}^n$ ($n\ge 2$) is a smooth bounded …

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
Jaturaporn Wattanakumpolkij, Patinya Ma-ardlerd, Natthason Autthisin, Pornpatara Chuvala, Nutthaphat Lunrasri, Chakrit Pongkitivanichkul, Daris Samart
https://arxiv.org/abs/2506.16139

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
This work considers the dynamics of the gauge vector and inflaton (dilaton) fields inspired by Kaluza-Klein theory in an inflationary universe with Bianchi type-I spacetime. The inverse power-law potential of the inflaton field is used to study dynamical system analysis. As a result, all fixed points in the autonomous system are non-hyperbolic fixed points, and one cannot determine their stability. Therefore, a center manifold theory is required to analyze the stability of the dynamical system …

Trilobite tridents: hydrodynamic lift and stability mechanisms for queue formation
Hugh A. Trenchard, Carlton E. Brett, Matjaz Perc
https://arxiv.org/abs/2506.15922

Trilobite tridents: hydrodynamic lift and stability mechanisms for queue formation
The bizarre trident-like cephalic projections of Walliserops trifurcatus have previously been interpreted as sexually selected weapons for intraspecific combat. We propose an alternative hypothesis grounded in biomechanics and collective behavior, that tridents evolved as adaptations for hydrodynamic lift and queue stability, conferring energetic advantages during group locomotion. Under this hypothesis, lift could offset gravitational forces, enabling greater locomotor efficiency, while mechan…

Stability results of the Bishop-Phelps-Bollob\'as property and the generalized AHSP
Thiago Grando, Elisa R. Santos
https://arxiv.org/abs/2506.17762 htt…

Stability results of the Bishop-Phelps-Bollobás property and the generalized AHSP
In this paper, we study the Bishop-Phelps-Bollobás property for operators (BPBp for short). To this end, we investigate the generalized approximate hyperplane series property (generalized AHSP for short) for a pair $(X,Y)$ of Banach spaces, which characterizes when $(\ell_1(X),Y)$ has the BPBp. We prove the following results. For $L$ a locally compact Hausdorff space and $\mathcal{A}$ a unital uniform algebra, if either $(X, \mathcal{C}_0(L,Y))$ or $(X, \mathcal{A}^Y)$ has the BPBp, then so do…

Are you ready to rewrite your whole application every 2 years? Choose Remix/Remix2/ReactRouter7/Remix3, what is stability? & remember old bugs don't exist if you rewrite constantly 🧠
https://remix.run/blog/wake-up-remix

On K-stability of one-nodal prime Fano threefolds of genus $12$
Elena Denisova, Anne-Sophie Kaloghiros
https://arxiv.org/abs/2506.17649 https://

On K-stability of one-nodal prime Fano threefolds of genus $12$
We show that general one-nodal prime Fano threefolds of genus $12$ are K-polystable.

Detecting Collective Excitations in Self-Gravitating Bose-Einstein Condensates via Faraday Waves
Ning Liu, Guodong Cheng
https://arxiv.org/abs/2506.18593 h…

Detecting Collective Excitations in Self-Gravitating Bose-Einstein Condensates via Faraday Waves
We propose Faraday waves as a probe for collective excitations in self-gravitating Bose-Einstein condensates (SGBECs), driven by periodic modulation of the $s$-wave scattering length. Linear stability analysis of the driven Gross-Pitaevskii-Newton equations reveals that parametric instability follows a Mathieu-like equation, with Faraday waves emerging resonantly when half the driving frequency matches the collective excitation frequency of the SGBEC. This framework yields a stability phase dia…

Update of Hartree--Fock theory for Hubbard-like models
E. Langmann, J. Lenells
https://arxiv.org/abs/2506.16525 https://arxiv.org/pdf…

Update of Hartree--Fock theory for Hubbard-like models
We show that the standard textbook description of (restricted) Hartree--Fock theory for (Fermi) Hubbard-like models is in need of an update, and we present such an update allowing us to correct basic and established results in the condensed matter physics literature that are qualitatively wrong. Our update amounts to adding a test which reliably checks the thermodynamic stability of solutions of Hartree--Fock equations. This stability test makes it possible to detect, by simple means and with c…

ETrace:Event-Driven Vulnerability Detection in Smart Contracts via LLM-Based Trace Analysis
Chenyang Peng, Haijun Wang, Yin Wu, Hao Wu, Ming Fan, Yitao Zhao, Ting Liu
https://arxiv.org/abs/2506.15790

ETrace:Event-Driven Vulnerability Detection in Smart Contracts via LLM-Based Trace Analysis
With the advance application of blockchain technology in various fields, ensuring the security and stability of smart contracts has emerged as a critical challenge. Current security analysis methodologies in vulnerability detection can be categorized into static analysis and dynamic analysis methods.However, these existing traditional vulnerability detection methods predominantly rely on analyzing original contract code, not all smart contracts provide accessible code.We present ETrace, a novel…

EU president throws her full weight behind the Netanyahu & Trump attacks on Iran, while negotiations were ongoing.
Reminders:
1) Iran restarted uranium enrichment after Trump withdrew from the agreement in 2018.
2) US intelligence recently stated that Iran did not pursue nuclear weapon development.

The Republican Majority on the Senate Banking Committee released a press release Friday confirming that they were intentionally eliminating
the “duplicative Office of Financial Research (OFR)”.
According to sources I’ve talked to in the Senate, Republican committee members have shown little concern with the elimination of the Office of Financial Research.
They also seem aware of the concerns over SOFR, because both their “one pager” and “section by section” documents clai…

The “One Big Beautiful Bill Act” Eliminates the Office of Financial Research—Threatening the Stability of the Treasury Market
Early last week I started working on a piece on why the Federal Reserve didn’t step in during the Trump Tariff Financial Panic. The basic idea of that piece is simply that “repo rates”- the interest rate at which you can, in essence, borrow funds with treasury securities

Learning Physical Systems: Symplectification via Gauge Fixing in Dirac Structures
Aristotelis Papatheodorou, Pranav Vaidhyanathan, Natalia Ares, Ioannis Havoutis
https://arxiv.org/abs/2506.18812

Learning Physical Systems: Symplectification via Gauge Fixing in Dirac Structures
Physics-informed deep learning has achieved remarkable progress by embedding geometric priors, such as Hamiltonian symmetries and variational principles, into neural networks, enabling structure-preserving models that extrapolate with high accuracy. However, in systems with dissipation and holonomic constraints, ubiquitous in legged locomotion and multibody robotics, the canonical symplectic form becomes degenerate, undermining the very invariants that guarantee stability and long-term predicti…

Persistence and Topological Complexity
Facundo M\'emoli, Ling Zhou
https://arxiv.org/abs/2506.17888 https://arxiv.org/pdf/2506.17…

Persistence and Topological Complexity
Topological complexity is a homotopy invariant that measures the minimal number of continuous rules required for motion planning in a space. In this work, we introduce persistent analogs of topological complexity and its cohomological lower bound, the zero-divisor-cup-length, for persistent topological spaces, and establish their stability. For Vietoris-Rips filtrations of compact metric spaces, we show that the erosion distances between these persistent invariants are bounded above by twice th…

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new
[1/2]:
- A model predictive control framework with robust stability guarantees under large disturbances
Johannes K\"ohler, Melanie N. Zeilinger

A Theoretical Framework for Virtual Power Plant Integration with Gigawatt-Scale AI Data Centers: Multi-Timescale Control and Stability Analysis
Ali Peivandizadeh
https://arxiv.org/abs/2506.17284

A Theoretical Framework for Virtual Power Plant Integration with Gigawatt-Scale AI Data Centers: Multi-Timescale Control and Stability Analysis
The explosive growth of artificial intelligence has created gigawatt-scale data centers that fundamentally challenge power system operation, exhibiting power fluctuations exceeding 500 MW within seconds and millisecond-scale variations of 50-75% of thermal design power. This paper presents a comprehensive theoretical framework that reconceptualizes Virtual Power Plants (VPPs) to accommodate these extreme dynamics through a four-layer hierarchical control architecture operating across timescales…

Accuracy and componentwise accuracy in multilinear PageRank
Mehdi Najafi Kalyani, Federico Poloni
https://arxiv.org/abs/2506.18356 https://

Accuracy and componentwise accuracy in multilinear PageRank
We study the stability with respect to perturbations and the accuracy of numerical algorithms for computing solutions to the multilinear PageRank problem $\mathbf{x} = (1-α)\mathbf{v} + α\mathcal{P} \mathbf{x}^2$. Our results reveal that the solution can be more stable with respect to perturbations and numerical errors with respect to the classical bounds for nonlinear systems of equations (based on the norm of the Jacobian). In detail, one can obtain bounds for the minimal solution which ign…

Size distribution of decaying foam bubbles
Ildoo Kim
https://arxiv.org/abs/2506.18049 https://arxiv.org/pdf/2506.18049

Size distribution of decaying foam bubbles
The most studies on the stability of foam bubbles investigated the mechanical stability of thin films between bubbles due to the drainage by gravity. In the current work, we take an alternative approach by assuming the rupture of bubbles as a series of random events and by investigating the time evolution of the size distribution of foam bubbles over a long time up to several hours. For this purpose, we first prepared layers of bubbles on Petri dishes by shaking soap solutions of a few differen…

The Scotogenic Model with Two Inert Doublets: Parameters Space and Electroweak Precision Tests
Abdelrahman AbuSiam (University of Sharjah), Amine Ahriche (University of Sharjah)
https://arxiv.org/abs/2506.18051

The Scotogenic Model with Two Inert Doublets: Parameters Space and Electroweak Precision Tests
In this work, we study a scotogenic extension of the Standard Model featuring two inert scalar doublets and three singlet Majorana fermions, where neutrino masses are generated radiatively at one loop. The lightest among the Majorana fermions and neutral scalars can serve as dark matter candidates. We explore the parameter space, considering theoretical constraints (perturbativity, unitarity, vacuum stability) and experimental limits (lepton flavor violation, Higgs measurements, electroweak pre…

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…

Homological stability and Manin's conjecture for rational curves on quartic del Pezzo surfaces
Ronno Das, Brian Lehmann, Sho Tanimoto, Philip Tosteson
https://arxiv.org/abs/2506.17071

Homological stability and Manin's conjecture for rational curves on quartic del Pezzo surfaces
We prove a version of Manin's conjecture (over $\mathbb{F}_{q}$ for $q$ large) and the Cohen--Jones--Segal conjecture (over $\mathbb{C}$) for maps from rational curves to split quartic del Pezzo surfaces. The proofs share a common method which builds upon prior work of the first and fourth authors. The main ingredients of this method are (i) the construction of bar complexes formalizing the inclusion-exclusion principle and its point counting estimates, (ii) dimension estimates for spaces of ra…

Continual Learning with Columnar Spiking Neural Networks
Denis Larionov, Nikolay Bazenkov, Mikhail Kiselev
https://arxiv.org/abs/2506.17169 https://…

Continual Learning with Columnar Spiking Neural Networks
This study investigates columnar-organized spiking neural networks (SNNs) for continual learning and catastrophic forgetting. Using CoLaNET (Columnar Layered Network), we show that microcolumns adapt most efficiently to new tasks when they lack shared structure with prior learning. We demonstrate how CoLaNET hyperparameters govern the trade-off between retaining old knowledge (stability) and acquiring new information (plasticity). Our optimal configuration learns ten sequential MNIST tasks effe…

Interfacial instability of confined 3D active droplets
Bennett C. Sessa, Federico Cao, Robert A. Pelcovits, Thomas R. Powers, Guillaume Duclos
https://arxiv.org/abs/2506.17532

Interfacial instability of confined 3D active droplets
Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the interfacial instability of a deformable 3D active nematic liquid crystal droplet in the isotropic phase surrounded by a passive fluid and confined between two parallel plates. Spontaneous active flows drive the growth of undulations along the active/passive interface…

Six Decades Post-Discovery of Taylor's Power Law: From Ecological and Statistical Universality, Through Prime Number Distributions and Tipping-Point Signals, to Heterogeneity and Stability of Complex Networks
Zhanshan (Sam), Ma, R. A. J. Taylor
https://arxiv.org/abs/2506.18154

Six Decades Post-Discovery of Taylor's Power Law: From Ecological and Statistical Universality, Through Prime Number Distributions and Tipping-Point Signals, to Heterogeneity and Stability of Complex Networks
First discovered by L. R. Taylor (1961, Nature), Taylor's Power Law (TPL) correlates the mean (M) population abundances and the corresponding variances (V) across a set of insect populations using a power function (V=aM^b). TPL has demonstrated its 'universality' across numerous fields of sciences, social sciences, and humanities. This universality has inspired two main prongs of exploration: one from mathematicians and statisticians, who might instinctively respond with a convergence theorem s…

How Pete Carroll is Delivering Stability to the Raiders https://www.si.com/nfl/raiders/las-vegas-pete-carroll-antonio-pierce-josh-mcdaniels-new-england-patriots

#Paradromics: Preclinical neural signal stability https://www.paradromics.com/blog/preclinical-neural-signal-stability "Patients want a device that serves th…

Preclinical Neural Signal Stability | Paradromics Blog
Animal testing results demonstrate long-term reliability of intercortical brain-computer Interface.

Replaced article(s) found for math.MG. https://arxiv.org/list/math.MG/new
[1/1]:
- Stability of simplex slicing
Serhii Myroshnychenko, Colin Tang, Kateryna Tatarko, Tomasz Tkocz

Efficient and High-Accuracy Ray Tracing in Discretized Ionospheric Models
Qinglin Li, Wen Liu, Zhigang Zhang, Fengjuan Sun, Rong Chen
https://arxiv.org/abs/2506.18579

Efficient and High-Accuracy Ray Tracing in Discretized Ionospheric Models
The complex ionospheric medium poses a fundamental trade-off between accuracy and efficiency in high-frequency (HF) ray tracing. This paper introduces a high-fidelity ray tracing model (RTM) employing a C1-continuous Galerkin-Difference (GD) interpolation strategy for three-dimensional electron density reconstruction. RTM-GD ensures analytically smooth gradients, significantly enhancing gradient continuity, numerical stability, and computational efficiency in Hamiltonian-based ray tracing. We d…

Property $(UW_E)$ and Consistent invertibility
Simi Thomas, T Prasad, Shery Fernandez
https://arxiv.org/abs/2506.18596 https://arxiv.…

Property $(UW_E)$ and Consistent invertibility
In this paper, we study the stability of Property $(UW_E)$ under commuting finite rank perturbation in terms of spectrum induced by consistent in invertibility for operators and a variant of upper semi-Weyl spectrum. Also we discuss the stability of Property $(UW_{E})$ under direct sum $T\oplus S$ and tensor product $T\otimes S$ for Hilbert space operators $T$ and $S$.

FLUX.1 Kontext: Flow Matching for In-Context Image Generation and Editing in Latent Space
Black Forest Labs, Stephen Batifol, Andreas Blattmann, Frederic Boesel, Saksham Consul, Cyril Diagne, Tim Dockhorn, Jack English, Zion English, Patrick Esser, Sumith Kulal, Kyle Lacey, Yam Levi, Cheng Li, Dominik Lorenz, Jonas M\"uller, Dustin Podell, Robin Rombach, Harry Saini, Axel Sauer, Luke Smith

FLUX.1 Kontext: Flow Matching for In-Context Image Generation and Editing in Latent Space
We present evaluation results for FLUX.1 Kontext, a generative flow matching model that unifies image generation and editing. The model generates novel output views by incorporating semantic context from text and image inputs. Using a simple sequence concatenation approach, FLUX.1 Kontext handles both local editing and generative in-context tasks within a single unified architecture. Compared to current editing models that exhibit degradation in character consistency and stability across multip…

Completeness Stability of Quantum Measurements
Rakesh Saini, Jukka Kiukas, Daniel Burgarth, Alexei Gilchrist
https://arxiv.org/abs/2506.11539 https://

Completeness Stability of Quantum Measurements
We introduce a resource monotone, the completeness stability, to quantify the quality of quantum measurements within a resource-theoretic framework. By viewing a quantum measurement as a frame, the minimum eigenvalue of a frame operator emerges as a significant monotone. It captures bounds on estimation errors and the numerical stability of inverting the frame operator to calculate the optimal dual for state reconstruction. Maximizing this monotone identifies a well-characterized class of quant…

This https://arxiv.org/abs/2309.15511 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Measuring risk contagion in financial networks with CoVaR
The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial institutions (e.g., banks, investment companies, insurance firms) on one side and financial assets on the other. Following empirical evidence, returns from such risky assets are modeled by heavy-tailed distributions, whereas their joint dependence is characterized b…

Detection of subsurface structures with a vehicle-based atom gravity gradiometer
Xiaowei Zhang, Jiaqi Zhong, Muyan Wang, Huilin Wan, Hui Xiong, Dandan Jiang, Zhi Li, Dekai Mao, Bin Gao, Biao Tang, Xi Chen, Jin Wang, Mingsheng Zhan
https://arxiv.org/abs/2506.18506

Detection of subsurface structures with a vehicle-based atom gravity gradiometer
High-precision mobile gravity gradiometers are very useful in geodesy and geophysics. Atom gravity gradiometers (AGGs) could be among the most accurate mobile gravity gradiometers but are currently constrained by the trade-off between portability and sensitivity. Here, we present a high-sensitivity mobile AGG featuring an ultra-compact sensor head with a volume of only 94 L. In the laboratory, it achieves a sensitivity of 77 E/$\sqrt{Hz}$ (1 E=1$\times10^{-9}$/s$^2$) and a long-term stability o…

Social Media Can Reduce Misinformation When Public Scrutiny is High
Gavin Wang, Haofei Qin, Xiao Tang, Lynn Wu
https://arxiv.org/abs/2506.16355 https://

Social Media Can Reduce Misinformation When Public Scrutiny is High
Misinformation poses a growing global threat to institutional trust, democratic stability, and public decision-making. While prior research has often portrayed social media as a channel for spreading falsehoods, less is known about the conditions under which it may instead constrain misinformation by enhancing transparency and accountability. Here we show this dual potential in the context of local governments' GDP reporting in China, where data falsifications are widespread. Analyzing official…

Great Restraining Wall in Multidimentional Collective Variable Space
Zhijun Pan, Maodong Li, Dechin Chen, Yi Isaac Yang
https://arxiv.org/abs/2506.17043 ht…

Great Restraining Wall in Multidimentional Collective Variable Space
Enhanced sampling methods are pivotal for exploring rare events in molecular dynamics (MD), yet face challenges in high-dimensional collective variable (CV) spaces where exhaustive sampling becomes computationally prohibitive. While techniques like metadynamics (MetaD) and path-CV enable targeted free energy surface (FES) reconstruction, they often struggle with confinement stability, hyperparameter sensitivity, and geometric flexibility. This work introduces the Great Restraining Wall (GW) met…

Superconductivity in a Chern band: effect of time-reversal-symmetry breaking on superconductivity
Bernhard E. L\"uscher, Mark H. Fischer
https://arxiv.org/abs/2506.16508

Superconductivity in a Chern band: effect of time-reversal-symmetry breaking on superconductivity
Time-reversal-symmetry breaking is generally understood to be detrimental for superconductivity. However, recent experiments found superconductivity emerging out of a normal state showing a finite anomalous Hall effect, indicative of time-reversal-symmetry breaking, in diverse systems from kagome metals, $1T'$-WS$_2$, to twisted MoTe$_2$ and rhombohedral graphene. Motivated by these findings, we study the stability of superconducting orders and the mechanisms that suppress superconductivity in …

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…

Frequency Differences between Clocks on the Earth and the Moon
Mingyue Zhang, J\"urgen M\"uller, Sergei M. Kopeikin
https://arxiv.org/abs/2506.16377

Frequency Differences between Clocks on the Earth and the Moon
Based on general relativity, clock comparisons enable the determination of the gravity potential relative to a stable reference. Lunar surface clocks, owing to the Moon's low-noise conditions, high orbital stability, and broad Earth visibility, are promising reference clocks for global-scale comparisons between terrestrial clocks. Meanwhile, the need for an independent lunar time system-driven by future lunar navigation-requires maintaining links to terrestrial standards. This Letter simulates …

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
Bernat Bassols Cornudella, Matheus M. Castro
https://arxiv.org/abs/2506.15503

Conditioned stochastic stability of equilibrium states on uniformly hyperbolic sets
We establish conditioned stochastic stability of equilibrium states for Hölder potentials on uniformly hyperbolic sets.

Variational Learning Finds Flatter Solutions at the Edge of Stability
Avrajit Ghosh, Bai Cong, Rio Yokota, Saiprasad Ravishankar, Rongrong Wang, Molei Tao, Mohammad Emtiyaz Khan, Thomas M\"ollenhoff
https://arxiv.org/abs/2506.12903

Variational Learning Finds Flatter Solutions at the Edge of Stability
Variational Learning (VL) has recently gained popularity for training deep neural networks and is competitive to standard learning methods. Part of its empirical success can be explained by theories such as PAC-Bayes bounds, minimum description length and marginal likelihood, but there are few tools to unravel the implicit regularization in play. Here, we analyze the implicit regularization of VL through the Edge of Stability (EoS) framework. EoS has previously been used to show that gradient d…

Finite-Time Information-Theoretic Bounds in Queueing Control
Yujie Liu, Vincent Y. F. Tan, Yunbei Xu
https://arxiv.org/abs/2506.18278 https://

Finite-Time Information-Theoretic Bounds in Queueing Control
We establish the first finite-time information-theoretic lower bounds-and derive new policies that achieve them-for the total queue length in scheduling problems over stochastic processing networks with both adversarial and stochastic arrivals. Prior analyses of MaxWeight guarantee only stability and asymptotic optimality in heavy traffic; we prove that, at finite horizons, MaxWeight can incur strictly larger backlog by problem-dependent factors which we identify. Our main innovations are 1) a …

Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue
https://arxiv.org/abs/2506.14748

Stability with minuscule structure for chromatic thresholds
The chromatic threshold $δ_χ(H)$ of a graph $H$ is the infimum of $d>0$ such that the chromatic number of every $n$-vertex $H$-free graph with minimum degree at least $d n$ is bounded by a constant depending only on $H$ and $d$. Allen, B{ö}ttcher, Griffiths, Kohayakawa, and Morris determined the chromatic threshold for every $H$; in particular, they showed that if $χ(H)=r\ge 3$, then $δ_χ(H) \in\{\frac{r-3}{r-2},~\frac{2 r-5}{2 r-3},~\frac{r-2}{r-1}\}$. While the chromatic thresholds have…

Shock formation in 1D conservation laws I: Inviscid structure
John Anderson, Sanchit Chaturvedi, Cole Graham
https://arxiv.org/abs/2506.17148 https://

Shock formation in 1D conservation laws I: Inviscid structure
We study the stability and structure of shock formation in 1D hyperbolic conservation laws. We show that shock formation is stable near shocking simple waves: perturbations form a shock nearby in spacetime. We also characterize the boundary of the classical development in a spacetime neighborhood of the first time singularity. Finally, we describe the precise nature of nondegenerate shock formation through an expansion in homogeneous functions of fractional degree. We use these results in a com…

Machine Learning Potentials for Alloys: A Detailed Workflow to Predict Phase Diagrams and Benchmark Accuracy
Siya Zhu, Doguhan Sariturk, Raymundo Arroyave
https://arxiv.org/abs/2506.16771

Machine Learning Potentials for Alloys: A Detailed Workflow to Predict Phase Diagrams and Benchmark Accuracy
High-entropy alloys (HEAs) have attracted increasing attention due to their unique structural and functional properties. In the study of HEAs, thermodynamic properties and phase stability play a crucial role, making phase diagram calculations significantly important. However, phase diagram calculations with conventional CALPHAD assessments based on experimental or ab-initio data can be expensive. With the emergence of machine-learning interatomic potentials (MLIPs), we have developed a program …

Scattered point measurement-based regularization for backward problems for fractional wave equations
Dakang Cen, Zhiyuan Li, Wenlong Zhang
https://arxiv.org/abs/2506.17575

Scattered point measurement-based regularization for backward problems for fractional wave equations
In this work, we are devoted to the reconstruction of an unknown initial value from the terminal data. The asymptotic and root-distribution properties of Mittag-Leffler functions are used to establish stability of the backward problem. Furthermore, we introduce a regularization method that effectively handles scattered point measurements contaminated with stochastic noise. Furthermore, we prove the stochastic convergence of our proposed regularization and provide an iterative algorithm to find …

Ooooo….
https://www.linuxfoundation.org/press/linux-foundation-announces-the-fair-package-manager-project-for-open-source-content-management-system-stability

Linux Foundation Announces the FAIR Package Manager Project for Open Source Content Management System Stability
Linux Foundation announces FAIR Package Manager project, creating simplicity, security and consistency for the WordPress ecosystem

Uniform stability for the matrix inverse Sturm-Liouville problems
Natalia P. Bondarenko
https://arxiv.org/abs/2506.15300 https://arxi…

Uniform stability for the matrix inverse Sturm-Liouville problems
In this paper, the uniform stability of the inverse spectral problem is proved for the matrix Sturm-Liouville operator on a finite interval. Namely, we describe the sets of spectral data, on which the inverse spectral mapping is bounded and, consequently, the uniform estimates hold for the differences of the matrix potentials and of the corresponding coefficients of the boundary conditions. Our approach is based on a constructive procedure for solving the inverse problem by developing ideas of …

Getty's copyright lawsuit against Stability AI begins at London's High Court, accusing it of unlawfully scraping millions of images; Stability denies the claims (Sam Tobin/Reuters)
https://www.reuters.com/sustainability/boa

Hydrodynamic Equations for Active Brownian Particles in the High Persistence Regime
Mart\'in Pinto-Goldberg, Rodrigo Soto
https://arxiv.org/abs/2506.17509

Hydrodynamic Equations for Active Brownian Particles in the High Persistence Regime
Based on a recently proposed kinetic description of non-inertial active Brownian particles, Navier--Stokes-like equations are derived in the high persistence regime, where polarization is a slow field together with density. Using the Chapman--Enskog method, all transport coefficients in the equations are obtained in terms of microscopic quantities. A linear stability analysis of the homogeneous and isotropic state shows the appearance of a density instability, allowing us to determine the regio…

Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET
Ao-Sheng Xiong, Jun Hua, Ting Wei, Fu-Sheng Yu, Qi-An Zhang, Yong Zheng
https://arxiv.org/abs/2506.16689

Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET
We systematically investigated the limited inverse discrete Fourier transform of the quasi distributions from the perspective of inverse problem theory. This transformation satisfies two of Hadamard's well-posedness criteria, existence and uniqueness of solutions, but critically violates the stability requirement, exhibiting exponential sensitivity to input perturbations. To address this instability, we implemented Tikhonov regularization with L-curve optimized parameters, demonstrating its val…

This https://arxiv.org/abs/2406.06635 has been replaced.
initial toot: https://mastoxiv.page/@arX…

The Hybrid Euclidean-Lorentzian Universe: Stability Considerations and the Point of Transition
TThe limited velocity implied by Lorentzian signature, prevents the universe to reach thermodynamic equilibrium implied by the CMB. Rapid expansion can occur by following Hawking and assuming a primordial Euclidean metric, in which case velocity is not limited and thermalization and rapid expansion are derived without the need to assume an ad-hoc field. Moreover, a mathematical model was given regarding the development of current Lorentzian space-time from the early Euclidean space-time in whic…

This https://arxiv.org/abs/2411.09097 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

On the Selection Stability of Stability Selection and Its Applications
Stability selection is a widely adopted resampling-based framework for high-dimensional variable selection. This paper seeks to broaden the use of an established stability estimator to evaluate the overall stability of the stability selection results, moving beyond single-variable analysis. We suggest that the stability estimator offers two advantages: it can serve as a reference to reflect the robustness of the results obtained, and it can help identify a Pareto optimal regularization value to…

Getty Images CEO Craig Peters says Getty is spending "millions and millions" on its Stability AI lawsuit in the UK and the US, accusing it of copying 12M images (Ryan Browne/CNBC)
https://www.cnbc.com/2025/05/28/getty-ceo-

Getty Images spending millions to battle a 'world of rhetoric' in AI suit, CEO says
Getty Images is spending "millions and millions of dollars" on its legal case against Stability AI, the photo licensing company's CEO Craig Peters told CNBC.

Infinite horizon discounted LQ optimal control problems for mean-field switching diffusions
Kai Ding, Xun Li, Siyu Lv, Zuo Quan Xu
https://arxiv.org/abs/2506.16033

Infinite horizon discounted LQ optimal control problems for mean-field switching diffusions
This paper investigates an infinite horizon discounted linear-quadratic (LQ) optimal control problem for stochastic differential equations (SDEs) incorporating regime switching and mean-field interactions. The regime switching is modeled by a finite-state Markov chain acting as common noise, while the mean-field interactions are characterized by the conditional expectation of the state process given the history of the Markov chain. To address system stability in the infinite horizon setting, a …

Long Coalition Leads to Shrink? The Roles of Tipping and Technology-Sharing in Climate Clubs
Lei Zhu, Zhihao Yan, Hongbo Duan, Yongyang Cai, Xiaobing Zhang
https://arxiv.org/abs/2506.16162

Long Coalition Leads to Shrink? The Roles of Tipping and Technology-Sharing in Climate Clubs
Global cooperation is posited as a pivotal solution to address climate change, yet significant barriers, like free-riding, hinder its realization. This paper develops a dynamic game-theoretic model to analyze the stability of coalitions under multiple stochastic climate tippings, and a technology-sharing mechanism is designed in the model to combat free-ridings. Our results reveal that coalitions tend to shrink over time as temperatures rise, owing to potential free-ridings, despite a large siz…

Replaced article(s) found for eess.SY. https://arxiv.org/list/eess.SY/new
[2/2]:
- Observations on robust diffusive stability and common Lyapunov functions
Blake McGrane-Corrigan, Rafael de Andrade Moral, Oliver Mason

Some isolation and stability results for Einstein manifolds
Letizia Branca, Klaus Kroencke
https://arxiv.org/abs/2506.13248 https://a…

Some isolation and stability results for Einstein manifolds
We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compact, asymptotically hyperbolic (AH) and asymptotically locally Euclidean (ALE) manifolds and an isolation result in the latter setting. For compact Kähler and Sasaki $η$-Einstein manifolds, we provide similar results which involve the Bochner tensor and the contact Bochner tensor, respectively.

The Path is the Goal: a Study on the Nature and Effects of Shortest-Path Stability Under Perturbation of Destination
Giuliano Cornacchia, Mirco Nanni
https://arxiv.org/abs/2506.09731

The Path is the Goal: a Study on the Nature and Effects of Shortest-Path Stability Under Perturbation of Destination
This work examines the phenomenon of path variability in urban navigation, where small changes in destination might lead to significantly different suggested routes. Starting from an observation of this variability over the city of Barcelona, we explore whether this is a localized or widespread occurrence and identify factors influencing path variability. We introduce the concept of "path stability", a measure of how robust a suggested route is to minor destination adjustments, define a detaile…

Unconditionally stable space-time isogeometric method for the linear Schr\"odinger equation
Matteo Ferrari, Sergio G\'omez
https://arxiv.org/abs/2506.18859

Unconditionally stable space-time isogeometric method for the linear Schrödinger equation
We propose and analyze a space-time isogeometric finite element method based on splines with maximal regularity in time for the linear time-dependent Schrödinger equation with a spatially varying potential. We investigate the stability and conservation properties of the method, demonstrating that it preserves both mass and energy at the final time, and it is unconditionally stable. Numerical experiments confirm our theoretical findings and illustrate the convergence behavior of the scheme. Inc…

Impact of gas/liquid phase change of CO$_2$ during injection for sequestration
Mina Karimi, Elizabeth Cochran, Mehrdad Massoudi, Noel Walkington, Matteo Pozzi, Kaushik Dayal
https://arxiv.org/abs/2506.15996

Impact of gas/liquid phase change of CO$_2$ during injection for sequestration
CO$_2$ sequestration in deep saline formations is an effective and important process to control the rapid rise in CO$_2$ emissions. The process of injecting CO$_2$ requires reliable predictions of the stress in the formation and the fluid pressure distributions -- particularly since monitoring of the CO$_2$ migration is difficult -- to mitigate leakage, prevent induced seismicity, and analyze wellbore stability. A key aspect of CO$_2$ is the gas-liquid phase transition at the temperatures and p…

X-Shooting ULLYSES: Massive stars at low metallicity. XIII. Putting the bi-stability jump to the test in the LMC
T. Alkousa (Astrophysics Research Cluster, School of Mathematical and Physical Sciences, University of Sheffield), P. A. Crowther (Astrophysics Research Cluster, School of Mathematical and Physical Sciences, University of Sheffield), J. M. Bestenlehner (Astrophysics Research Cluster, School of Mathematical and Physical Sciences, University of Sheffield, School of Chemical, M…

X-Shooting ULLYSES: Massive stars at low metallicity. XIII. Putting the bi-stability jump to the test in the LMC
We aim to investigate the theoretical bi-stability jump, which predicts an increase in mass-loss rates below 21 kK. We further aim to constrain the photospheric and wind parameters of a sample of 16 LMC late-O and B supergiants. We utilise the 1D, non-LTE radiative transfer model CMFGEN in a grid-based approach and subsequent fine-tuned spectroscopic fitting procedure to determine the stellar and wind parameters of each star. We apply this method to ultra-violet data from the ULLYSES programme …

Stability analysis of the flow in a coflowing device
M. Rubio, S. Rodr\'iguez-Aparicio, M. G. Cabezas, J. M. Montanero, M. A. Herrada
https://arxiv.org/abs/2506.14292

Stability analysis of the flow in a coflowing device
We analyze the stability of the coflow configuration. The experiments and the global stability analysis show that the emitted jet always destabilizes before the tapering conical meniscus. This implies that the parameter conditions at which polydisperse dripping arises cannot be determined from the linear stability analysis of the steady jetting mode. Transient simulations show that the linear superposition of decaying eigenmodes triggered by an initial perturbation can lead to the jet breakup. …

Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
Mohamed Camil Belhadjoudja (GIPSA-INFINITY), M Maghenem (GIPSA-INFINITY), E Witrant (GIPSA-INFINITY), M Krstic (UC San Diego)
https://arxiv.org/abs/2506.18634

Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the region of attraction under cubic feedback laws applied at the boundary, using boundary measurements. We guarantee: 1-L 2 and H 1 exponential stability of the origin with an estimate of the region of attraction. 2-Convergence of the H 2 and the C 1 norms of the solutions to zero. 3-Existence and uniqueness of complete c…

Role of bubble positioning in force induced melting of DNA
Bidisha Mukherjee, Amit Raj Singh, Garima Mishra
https://arxiv.org/abs/2506.18821 https://

Role of bubble positioning in force induced melting of DNA
We investigate the role of bubble positioning in the force-induced melting of double-stranded DNA using two distinct approaches: Brownian Dynamics simulations and the Gaussian Network Model. We isolate the effect of bubble positioning by using DNA molecules with 50% AT - 50% GC base-pair composition which ensures constant enthalpy. Our results reveal that it is not just the sequence itself, but its specific arrangement that influences DNA stability. We examine two types of DNA sequences contain…

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
Diego Deplano, Sergio Grammatico, Mauro Franceschelli
https://arxiv.org/abs/2506.17990

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
We adopt an operator-theoretic perspective to analyze a class of nonlinear fixed-point iterations and discrete-time dynamical systems. Specifically, we study the Krasnoselskij iteration - at the heart of countless algorithmic schemes and underpinning the stability analysis of numerous dynamical models - by focusing on a non-Euclidean vector space equipped with the diagonally weighted supremum norm. By extending the state of the art, we introduce the notion of enriched weak contractivity, which …

A third-order finite volume semi-implicit method for the Shallow Water-Exner model
Enrique D. Fernandez-Nieto, Jose Garres-Diaz, Emanuele Macca, Giovanni Russo
https://arxiv.org/abs/2506.16287

A third-order finite volume semi-implicit method for the Shallow Water-Exner model
In this work, third-order semi-implicit schemes on staggered meshes for the shallow water and Saint-Venant-Exner systems are presented. They are based on a third-order extension of the technique introduced in Cassulli \& Cheng [1]. The stability conditions for these schemes depend on the velocity and not on the celerity, allowing us to reduce computational efforts, especially in subcritical flow simulations, which is the regime we are mainly interested in. The main novelty consists in the third…

Boltzmann-Ginzburg-Landau theory for autochemotaxis of active rod-like particles
Shun Sakurai, Nariya Uchida
https://arxiv.org/abs/2506.18263 https://

Boltzmann-Ginzburg-Landau theory for autochemotaxis of active rod-like particles
We investigate the interplay between chemotaxis and alignment interactions in active rod-like particles, such as E. coli and Janus rods. Starting from a discrete model of self-propelled rods with chemotactic responses, we employ a Boltzmann-Ginzburg-Landau (BGL) approach to derive coarse-grained dynamical equations for the density, polar and nematic orientational order parameters, and the concentration field of the chemoattractant. We perform a linear stability analysis for fluctuations around …

Dark Count Rate Stability of JUNO 20-inch PMTs in Mass Testing
Min Li, Narongkiat Rodphai, Caimei Liu, Zhimin Wang, Zhaoyuan Peng, Jun Wang, Nikolay Anfimov, Denis Korablev, Tobias Lachenmaier, Alexander G. Olshevskiy, Zhonghua Qin, Tobias Sterr, Alexander Felix Tietzsch, Rong Zhao, Wei Wang, Kaile Wen, Bjoern Soenke Wonsak, Wan Xie, Meihang Xu, Yu Zhang

Dark Count Rate Stability of JUNO 20-inch PMTs in Mass Testing
The Jiangmen Underground Neutrino Observatory (JUNO) is an ambitious multipurpose neutrino experiment designed to determine the neutrino mass ordering, with an impressive energy resolution goal of at least 3% at 1 MeV. To achieve a photon detection coverage of approximately 75%, JUNO will utilize two types of 20-inch photomultiplier tubes (PMTs): the large PMT (LPMT) and the microchannel plate PMT (MCP-PMT). A significant concern in high-precision neutrino measurements is the dark count rate (D…

Stability of compact actions and a result on divided differences
Carlos Gustavo Moreira, Nicolau C. Saldanha
https://arxiv.org/abs/2506.14446 https://

Stability of compact actions and a result on divided differences
We study smooth locally free actions of ${\mathbb R}^n$ on manifolds $M$ of dimension $n+1$. We are interested in compact orbits and in compact actions: actions with all orbits compact. Given a compact orbit in a neighborhood of compact orbits, we give necessary and sufficient conditions for the existence of a $C^k$ perturbation with noncompact orbits in the given neighborhood. We prove that if such a perturbation exists it can be assumed to differ from the original action only in a smaller nei…

ICANN Security and Stability Advisory Committee (SSAC) Comments on Draft Governance Document for the
Recognition, Maintenance, and Derecognition of RIRs
https://itp.cdn.icann.org/en/files/security-and-stability-advisory…

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…

In situ growth of a type-II ZnO/ZnS heterostructure:From stability to band-offset
P. R. A de Oliveira, I. Coelho, G. Felix, P. Venezuela, F. Stavale
https://arxiv.org/abs/2506.14499

In situ growth of a type-II ZnO/ZnS heterostructure:From stability to band-offset
We have successfully obtained a ZnO/ZnS heterostructure by heating a ZnS(001) single crystal in a controlled impurities-free oxygen atmosphere. Combining X-ray photoelectron spectroscopy (XPS), and atomic force microscopy (AFM), we explore the stability, electronic structure, and morphology of that interface. Our XPS measurements reveal a binding energy shift of the core-level peaks, indicating a band-bending effect due to the formation of a hybrid ZnO/ZnS interface. In addition, AFM measuremen…

Getty's copyright lawsuit against Stability AI begins at London's High Court, accusing it of unlawfully scraping millions of images; Stability denies the claims (Sam Tobin/Reuters)
https://www.reuters.com/sustainability/boa

Robust output stability and input-to-output stability based on output dissipation
Antoine Chaillet (IUF, L2S), Iasson Karafyllis (NTUA), Yuan Wang
https://arxiv.org/abs/2506.10479

Robust output stability and input-to-output stability based on output dissipation
LaSalle techniques to ensure the convergence of a given output usually fail at guaranteeing uniform convergence time, which induces robustness issues. Recent works have provided extra conditions under which a Lyapunov function that dissipates in terms of only the output guarantees this uniformity. In this paper, we extend these results to systems with inputs in order to establish either robust stability or input-to-output stability. In addition, we show that a recent relaxation of Barb__lat's l…

Linear stability of Perelman's $\nu$-entropy of standard Einstein manifolds
Emilio A. Lauret, Alejandro Tolcachier
https://arxiv.org/abs/2506.12435 htt…

Linear stability of Perelman's $ν$-entropy of standard Einstein manifolds
Paul Schwahn recently exhibited 112 non-symmetric, connected, simply connected, compact Einstein manifolds that are stable with respect to the total scalar curvature functional restricted to the space of Riemannian metrics with constant scalar curvature and fixed volume. This stability follows from the inequality $λ_L > 2E$, where $λ_L$ denotes the smallest eigenvalue of the Lichnerowicz Laplacian on TT-tensors and $E$ is the corresponding Einstein factor. In this paper, we estimate the sma…

Voltage Stability of Inverter-Based Systems: Impact of Parameters and Irrelevance of Line Dynamics
Sushobhan Chatterjee, Sijia Geng
https://arxiv.org/abs/2506.13341

Voltage Stability of Inverter-Based Systems: Impact of Parameters and Irrelevance of Line Dynamics
This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the bifurcation hypersurface. Such information enables efficient identification of effective control parameters in mitigating voltage instability. Comprehensive analysis reveals that reactive loading setpoint and current controller's feedforward gain are the most influent…

Sharp Stability of Global Compactness on the Heisenberg Group
Hua Chen, Yun-lu Fan, Xin Liao
https://arxiv.org/abs/2506.11404 https://

Sharp Stability of Global Compactness on the Heisenberg Group
In this paper, we establish a sharp stability inequality on the Heisenberg group for functions that are close to the sum of m weakly interacting Jerison-Lee bubbles. As a consequence, we obtain a sharp quantitative stability of global compactness for non-negative functions on Heisenberg group.

Optimisation of Activator Solutions for Geopolymer Synthesis: Thermochemical Stability, Sequencing, and Standardisation
Ramon Skane, Franca Jones, Arie van Riessen, Evan Jamieson, Xiao Sun, William D. A. Rickard
https://arxiv.org/abs/2506.12941

Optimisation of Activator Solutions for Geopolymer Synthesis: Thermochemical Stability, Sequencing, and Standardisation
Geopolymers present a sustainable alternative to conventional binders, however, their commercial viability is hindered by a lack of standardised methods for preparing stabile activator solutions; alkaline feedstocks critical to geopolymer synthesis. This study presents a combined experimental and modelling approach to evaluate the thermochemical stability, solubility constraints, and silica speciation behaviour of sodium silicate-based activators. Using quantitative 29Si NMR analysis, thermodyn…

Stability analysis of time-periodic shear flow generated by an oscillating density interface
Lima Biswas, Anirban Guha
https://arxiv.org/abs/2506.13893 htt…

Stability analysis of time-periodic shear flow generated by an oscillating density interface
We consider the conceptual two-layered oscillating tank of Inoue & Smyth (2009), which mimics the time-periodic parallel shear flow generated by low-frequency (e.g. semi-diurnal tides) and small-angle oscillations of the density interface. Such self-induced shear of an oscillating pycnocline may provide an alternate pathway to pycnocline turbulence and diapycnal mixing in addition to the turbulence and mixing driven by wind-induced shear of the surface mixed layer. We theoretically investigate …

This https://arxiv.org/abs/2505.12156 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quiver Schemes for Nongeneric Stability and Cornering
We use the Le Bruyn--Procesi theorem to prove several results on quiver schemes for nongeneric stability conditions: We show that the stability-zero finite-type Nakajima quiver schemes are reduced points and give an example of a closely related nonreduced quiver scheme. In broader generality, we prove that adding modules supported on stability-zero vertices induces closed embeddings of quiver schemes, and show how in many cases the quiver scheme associated with the cornered algebra defines a li…

Refined stability estimates for mixed problems by exploiting semi norm arguments
Nicolas Gauger, Alexander Linke, Christian Merdon
https://arxiv.org/abs/2506.11566

Refined stability estimates for mixed problems by exploiting semi norm arguments
Refined stability estimates are derived for classical mixed problems. The novel emphasis is on the importance of semi norms on data functionals, inspired by recent progress on pressure-robust discretizations for the incompressible Navier--Stokes equations. In fact, kernels of these semi norms are shown to be connected to physical regimes in applications and are related to some well-known consistency errors in classical discretizations of mixed problems. Consequently, significantly sharper stabi…

Stability and Performance of Online Feedback Optimization for Distribution Grid Flexibility
Florian Klein-Helmkamp, Tina M\"ollemann, Irina Zettl, Andreas Ulbig
https://arxiv.org/abs/2506.13280

Stability and Performance of Online Feedback Optimization for Distribution Grid Flexibility
The integration of distributed energy resources (DERs) into sub-transmission systems has enabled new opportunities for flexibility provision in ancillary services such as frequency and voltage support, as well as congestion management. This paper investigates the stability and performance of Online Feedback Optimization (OFO) controllers in ensuring reliable flexibility provision. A hierarchical control architecture is proposed, emphasizing safe transitions between system states within the Feas…

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients
Marco Picerni
https://arxiv.org/abs/2506.15409

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients
We prove an existence and uniqueness result for solutions to linear $X$-elliptic equations with $L^1$ data and zero Dirichlet boundary conditions. Such solutions depend continuously on the datum. Moreover, we show that an improvement in the summability of the data yields a corresponding improvement in the summability of the solutions, in a manner analogous to the one that occurs in the case of uniformly elliptic equations.

Mechanism and Stability of Li-Dynamics in Amorphous Li-Ti-P-S Based Mixed Ionic-Electronic Conductor
Selva Chandrasekaran Selvaraj, Daiwei Wang, Donghai Wang, Anh T. Ngo
https://arxiv.org/abs/2506.11199

Mechanism and Stability of Li-Dynamics in Amorphous Li-Ti-P-S Based Mixed Ionic-Electronic Conductor
Mixed ionic-electronic conductor (MIEC) exhibit both high ionic and electronic conductivity to improve the battery performance. In this work, we investigate the mechanism and stability of transport channels in recently developed our MIEC material, amorphous Ti-doped lithium phosphorus sulfide (LPS), using molecular dynamics (MD) simulations with a 99\% accurate machine-learning force field (MLFF) trained on \textit{ab-initio} MD data. The achieved MLFF helps efficient large-scale MD simulations…

On the stability of the generalized equator map
Volker Branding, Anna Siffert
https://arxiv.org/abs/2506.10652 https://arxiv.org/pdf/…

On the stability of the generalized equator map
The energy, the $p$-energy ($p\in\mathbb{R}$ with $p\geq 2$) and the extrinsic $k$-energy ($k\in\mathbb{N}$) for maps between Riemannian manifolds are central objects in the geometric calculus of variations. The equator map from the unit ball to the Euclidean sphere provides an explicit critical point of all aforementioned energy functionals. During the last four decades many researchers studied the stability of this particular map when considered as a critical point of one of these energy func…

Orbital Stability of Plane Waves in the Klein-Gordon Equation against Localized Perturbations
Emile Bukieda, Louis Gar\'enaux, Bj\"orn de Rijk
https://arxiv.org/abs/2506.06029

Orbital Stability of Plane Waves in the Klein-Gordon Equation against Localized Perturbations
We investigate the stability and long-term behavior of spatially periodic plane waves in the complex Klein-Gordon equation under localized perturbations. Such perturbations render the wave neither localized nor periodic, placing its stability analysis outside the scope of the classical orbital stability theory for Hamiltonian systems developed by Grillakis, Shatah, and Strauss. Inspired by Zhidkov's work on the stability of time-periodic, spatially homogeneous states in the nonlinear Schröding…

Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme
Igor Tominec, Lukas Lundgren, Andr\'e L\"ofgren, Josefin Ahlkrona
https://arxiv.org/abs/2506.10447

Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme
Accurate simulations of ice sheet dynamics, mantle convection, lava flow, and other highly viscous free-surface flows involve solving the coupled Stokes/free-surface equations. In this paper, we theoretically analyze the stability and conservation properties of the weak form of this system for Newtonian fluids and non-Newtonian fluids, at both the continuous and discrete levels. We perform the fully discrete stability analysis for finite element methods used in space with explicit and implicit …

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy
Lennart Sinjorgo, Renata Sotirov, Juan C. Vera
https://arxiv.org/abs/2506.08648

SDP bounds on the stability number via ADMM and intermediate levels of the Lasserre hierarchy
We consider the Lasserre hierarchy for computing bounds on the stability number of graphs. The semidefinite programs (SDPs) arising from this hierarchy involve large matrix variables and many linear constraints, which makes them difficult to solve using interior-point methods. We propose solving these SDPs using the alternating direction method of multipliers (ADMM). When the second level of the Lasserre hierarchy for a given graph is intractable for the ADMM, we consider an intermediate-level …

This https://arxiv.org/abs/2412.04777 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A space of stability conditions that is not a length space
We prove that the space of Bridgeland stability conditions, when equipped with the canonical metric, is not a length space in general. This resolves a question posed by Kikuta in the negative. Furthermore, we introduce two modified metrics on the stability spaces, which may exhibit better metric properties.

Morse Index Stability of Branched Willmore Immersions
Alexis Michelat
https://arxiv.org/abs/2506.09005 https://arxiv.org/pdf/2506.090…

Morse Index Stability of Branched Willmore Immersions
We show the Morse index stability for sequences of Willmore immersions of bounded energy without assuming that the limiting immersion and the bubbles are free of branch points.

Stability of the Morse Index for the $p$-harmonic Approximation of Harmonic Maps into Homogeneous Spaces
Dominik Schlagenhauf
https://arxiv.org/abs/2506.10761

Stability of the Morse Index for the $p$-harmonic Approximation of Harmonic Maps into Homogeneous Spaces
In the joint work of the author with Da Lio and Rivière (Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere) we studied the stability of the Morse index for Sacks-Uhlenbeck sequences into spheres as $p\searrow2$. These are critical points of the energy $E_p(u) := \int_Σ\left( 1+|\nabla u|^2\right)^{p/2} \ dvol_Σ,$ where $u:Σ\rightarrow S^n$ is a map from a closed Riemannian surface $Σ$ into a sphere $ S^n$. In this paper we extend the results found in our p…

Stability of bound states in multi-component DFT in absolute coordinate systems
Bander Linjawi
https://arxiv.org/abs/2506.07990 https://

Stability of bound states in multi-component DFT in absolute coordinate systems
Homogeneous electron and nuclear gases are transformed to a localized trial density in absolute coordinates of the multi-component hamiltonian to determine the stability of forming bound states. Regions of stability were found both at the high density and low density regimes, where electron-nuclear correlations could play a critical role in the intermediate density regime. The use of Galilean coordinates is motivated for its use in density functional theory to develop kinetic and potential dens…

Learning Neural Controllers with Optimality and Stability Guarantees Using Input-Output Dissipativity
Han Wang, Keyan Miao, Diego Madeira, Antonis Papachristodoulou
https://arxiv.org/abs/2506.06564

Learning Neural Controllers with Optimality and Stability Guarantees Using Input-Output Dissipativity
Deep learning methods have demonstrated significant potential for addressing complex nonlinear control problems. For real-world safety-critical tasks, however, it is crucial to provide formal stability guarantees for the designed controllers. In this paper, we propose a new framework for designing neural controllers that achieve both stability and optimality with respect to certain functions. Our key idea is to exploit the concept of input-output dissipativity of nonlinear systems by learning n…

Predicting aqueous and electrochemical stability of 2D materials from extended Pourbaix analyses
Stefano Americo, Ivano E. Castelli, Kristian S. Thygesen
https://arxiv.org/abs/2506.07839

Predicting aqueous and electrochemical stability of 2D materials from extended Pourbaix analyses
A key challenge for computational discovery of electrocatalytic materials is the reliable prediction of thermodynamic stability in aqueous environment and under different electrochemical conditions. In this work, we first evaluate the electrochemical stability of more than 3000 two-dimensional (2D) materials using conventional Pourbaix diagrams (CPDs). Due to the complete neglect of thermodynamic barriers along the (often complex) reaction pathways, the vast majority of the materials are predic…