Tootfinder

On expected #V2G returns: “Given the Netherlands’ more strained grid, Faton believes savings will be even higher there.”
Tough bet in a country where grid operators provide no financial incentives to residential customers to shift demand, let alone support the local grid with V2G.

'Utrecht Energized' launched: How bidirectional charging is set to make the breakthrough - electrive.com
Bidirectional charging is often hailed as the holy grail of e-mobility. The batteries of electric cars are not only used for driving but can also power homes

Prime Power Residues and Blocking Sets
Bhawesh Mishra, Paolo Santonastaso
https://arxiv.org/abs/2507.07673 https://arxiv.org/pdf/2507…

Prime Power Residues and Blocking Sets
Let $q$ be a fixed odd prime. We show that a finite subset $B$ of integers, not containing any perfect $q^{th}$ power, contains a $q^{th}$ power modulo almost every prime if and only if $B$ corresponds to a blocking set (with respect to hyperplanes) in $\mathrm{PG}(\mathbb{F}_{q}^{k})$. Here, $k$ is the number of distinct prime divisors of $q$-free parts of elements of $B$. As a consequence, the property of a subset $B$ to contain $q^{th}$ power modulo almost every prime $p$ is invariant under …

Ukraine's largest battery energy storage project enters final testing phase, set to power 600,000 homes: https://benborges.xyz/2025/07/10/ukraines-largest-battery-energy-storage.html

Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields
Pengfei Wang, Ziyang Zhang, Wensong Wang, Shuangmin Chen, Lin Lu, Shiqing Xin, Changhe Tu
https://arxiv.org/abs/2506.09579

Power Diagram Enhanced Adaptive Isosurface Extraction from Signed Distance Fields
Extracting high-fidelity mesh surfaces from Signed Distance Fields has become a fundamental operation in geometry processing. Despite significant progress over the past decades, key challenges remain namely, how to automatically capture the intricate geometric and topological structures encoded in the zero level set of SDFs. In this paper, we present a novel isosurface extraction algorithm that introduces two key innovations: 1. An incrementally constructed power diagram through the addition of…

#Blakes7 Series A, Episode 04 - Time Squad
AVON: Good. Moving to line up. Right lateral, minimum power.
VILA: Too much. You're overshooting.
AVON: Left lateral. That's enough. Hold.
VILA: Square on.
https://

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

On the Complexity of Problems on Graphs Defined on Groups
Bireswar Das, Dipan Dey, Jinia Ghosh
https://arxiv.org/abs/2507.05860 https://

On the Complexity of Problems on Graphs Defined on Groups
We study the complexity of graph problems on graphs defined on groups, especially power graphs. We observe that an isomorphism invariant problem, such as Hamiltonian Path, Partition into Cliques, Feedback Vertex Set, Subgraph Isomorphism, cannot be NP-complete for power graphs, commuting graphs, enhanced power graphs, directed power graphs, and bounded-degree Cayley graphs, assuming the Exponential Time Hypothesis (ETH). An analogous result holds for isomorphism invariant group problems: no suc…

Imagine you want to produce E-Fuels⚡⛽ but the power company does not want to sell you electricity⚡
That appears to be what potential E-Fuels producers faced in Iceland🇮🇸. The country uses 100% renewable electricity (hydro/geo) & could produce more.
Yet, Iceland's electricity producer Landsvirkjun does not have enough electricity⚡. Building new plants is delayed by slow permitting 📝. Landsvirkjun has therefore set out priorities.

Iceland's E-Fuels Controversy
Hydrogen and E-Fuels companies want to utilize Iceland's abundant renewable energy sources. But Iceland's largest energy company Landsvirkjun does not want to sell electricity to them. E-Fuels producers hope that European authorities will intervene, the EFTA Surveillane Authority investigates.

This https://arxiv.org/abs/2308.07851 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An imperceptible connection between the Clebsch--Gordan coefficients of $U_q(\mathfrak{sl}_2)$ and the Terwilliger algebras of Grassmann graphs
The Clebsch--Gordan coefficients of $U(\mathfrak{sl}_2)$ are expressible in terms of Hahn polynomials. The phenomenon can be explained by an algebra homomorphism $\natural$ from the universal Hahn algebra $\mathcal H$ into $U(\mathfrak{sl}_2)\otimes U(\mathfrak{sl}_2)$. Let $Ω$ denote a finite set of size $D$ and $2^Ω$ denote the power set of $Ω$. It is generally known that $\mathbb C^{2^Ω}$ supports a $U(\mathfrak{sl}_2)$-module. Let $k$ denote an integer with $0\leq k\leq D$ and fix a $k$…

Attorney General Pam Bondi told tech companies that they could
lawfully violate a statute barring American companies from supporting TikTok
based on a sweeping claim that Trump has the constitutional power to set aside laws.
In letters to companies like Apple and Google,
Ms. Bondi wrote that Trump had decided that shutting down TikTok would interfere with his
“constitutional duties,”
so the law banning the social media app must give way to his
“core …

How the Trump Administration Justified Ignoring the TikTok Ban
In purporting to license otherwise illegal conduct by tech firms, President Trump set a precedent expanding executive power, legal experts warned.

Design and Implementation of a RISC-V SoC with Custom DSP Accelerators for Edge Computing
Priyanshu Yadav
https://arxiv.org/abs/2506.06693 https://

Design and Implementation of a RISC-V SoC with Custom DSP Accelerators for Edge Computing
This paper presents a comprehensive analysis of the RISC-V instruction set architecture, focusing on its modular design, implementation challenges, and performance characteristics. We examine the RV32I base instruction set with extensions for multiplication (M) and atomic operations (A). Through cycle-accurate simulation of a pipelined implementation, we evaluate performance metrics including CPI (cycles per instruction) and power efficiency. Our results demonstrate RISC-V's advantages in embed…

Evaluating Undergrounding Decisions for Wildfire Ignition Risk Mitigation across Multiple Hazards
Ryan Piansky, Daniel K. Molzahn, Nicole D. Jackson, J. Kyle Skolfield
https://arxiv.org/abs/2506.06575

Evaluating Undergrounding Decisions for Wildfire Ignition Risk Mitigation across Multiple Hazards
With electric power infrastructure increasingly susceptible to impacts from climate-driven natural disasters, there is an increasing need for optimization algorithms that determine where to harden the power grid. Prior work has primarily developed optimal hardening approaches for specific acute disaster scenarios. Given the extensive costs of hardening the grid, it is important to understand how a particular set of resilience investments will perform under multiple types of natural hazards. Usi…

FOIA docs: the Trump administration claimed broad authority to nullify laws in letters to tech firms releasing them of legal liability related to the TikTok ban (Charlie Savage/New York Times)
https://www.nyt…

How the Trump Administration Justified Ignoring the TikTok Ban
In purporting to license otherwise illegal conduct by tech firms, President Trump set a precedent expanding executive power, legal experts warned.

This https://arxiv.org/abs/2410.05132 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the uniqueness of tangent cones to area minimizing currents at boundaries with arbitrary multiplicity
We consider an area minimizing current $T$ in a $C^2$ submanifold $Σ$ of $\mathbb{R}^{m+n}$, with arbitrary integer boundary multiplicity $\partial T = Q [\![ Γ]\!]$ where $Γ$ is a $C^2$ submanifold of $Σ$. We show that at every density $Q/2$ boundary point the tangent cone to $T$ is unique and there is a power rate of convergence to the unique tangent cone. In particular, if $Γ$ is a closed manifold which lies at the boundary of a uniformly convex set $Ω$ and $Σ=\mathbb{R}^{m+n}$ then…

Low-power Wireless Network with Real-Time Guarantees for Edge-Cloud Applications
Don Tan
https://arxiv.org/abs/2507.03317 https://arx…

Low-power Wireless Network with Real-Time Guarantees for Edge-Cloud Applications
The goal of this project is to explore the feasibility of building a scalable & easy-to-deploy real-time LoRa testbed, made from multiple units of Raspberry Pi (RPI), where each RPI manages its own set of LoRa radios. This project is motivated by the lack of concrete large-scale LoRa testbeds that effectively integrate LoRa communications into the real-time world. The paper introduces how the idea of using RPI came about and why it should work in theory. The paper then carries out experiments o…

Remember when we compared the energy consumption of bitcoin to a country? And that was a bad thing remember, so we didn’t buy any nor program with it.
> According to his research, worldwide AI energy demand is now set to surpass demand from bitcoin mining by the end of this year.
https://www.…

GIC--Related Observations During the May 2024 Geomagnetic Storm in the United States
L. A. Wilkerson, R. S. Weigel, D. Thomas, D. Bor, E. J. Oughton, C. T. Gaunt, C. C. Balch, M. J. Wiltberger, A. Pulkkinen
https://arxiv.org/abs/2507.07009

GIC--Related Observations During the May 2024 Geomagnetic Storm in the United States
The May 2024 geomagnetic storm was one of the most severe in the past twenty years. Understanding how large geomagnetic disturbances (GMDs) impact geomagnetically induced currents (GICs) within power grid networks is key to ensuring their resilience. We have assembled and synthesized a large and diverse set of GMD-related data, compared model predictions with measurements, and identified empirical relationships for GICs in the contiguous United States for this storm. Measurement data include …

Wind and solar set to make up 30% of global electricity generation by the end of the decade. #climatechange #climatesolutions #climate

Chart: Which countries get the most power from solar and wind?
These two clean energy sources are growing quickly around the world. Here are the 10 countries that rely on them the most.

A Unified Approach to Calculating Sylvester Sums
Neha Gupta, Manoj Upreti
https://arxiv.org/abs/2507.06692 https://arxiv.org/pdf/2507…

A Unified Approach to Calculating Sylvester Sums
In the context of the Frobenius coin problem, given two relatively prime positive integers $a$ and $b$, the set of nonrepresentable numbers consists of positive integers that cannot be expressed as nonnegative integer combination of $a$ and $b$. This work provides a formula for calculating the power sums of all nonrepresentable numbers, also known as the Sylvester sums. Although alternative formulas exist in the literature, our approach is based on an elementary observation. We consider the set…

My day just took a nosedive because some fascist jerk is celebrating a bill landing on his desk!
Honestly, it’s wild how people still put their faith in the same old power games when real change comes from people coming together, running things themselves, and kicking the fascists out of the picture.
Being autistic, I usually struggle to get what people mean, but Rudolf Rocker said some real shit that even my autistic brain understands.

Control of Power Grids With Switching Equilibria: $\Omega$-Limit Sets and Input-to-State Stability
Mahmoud Abdelgalil, Vishal Shenoy, Guido Cavraro, Emiliano Dall'Anese, Jorge I. Poveda
https://arxiv.org/abs/2507.00240

Control of Power Grids With Switching Equilibria: $Ω$-Limit Sets and Input-to-State Stability
This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating condition with demand aggregating two dynamic components: one that switches between different values on a finite set, and one that varies smoothly over time. Such dynamic operating conditions may result from protection scheme activations, external cyber-attacks, or due to the integration of dynamic loads, such as data c…

I had set up a Gumroad account years ago to experiment with some digital sales and subscription stuff but after reading that the CEO of Gumroad worked for DOGE and Musk I deleted that fucking account.
Most of us don't have a lot of power individually but we can still make choices about the platforms we use (and don't use).
➡️

WIRED Talked to a Fired DOGE Staffer About Who Was Really in Charge
Sahil Lavingia, who says he was fired from DOGE after speaking out about his experiences there, told WIRED about how he communicated with the group, who appears to be in charge, and what might be coming next.

A Short-Term Integrated Wind Speed Prediction System Based on Fuzzy Set Feature Extraction
Yijun Geng, Jianzhou Wang, Jinze Li, Zhiwu Li
https://arxiv.org/abs/2507.05761

A Short-Term Integrated Wind Speed Prediction System Based on Fuzzy Set Feature Extraction
Wind energy has significant potential owing to the continuous growth of wind power and advancements in technology. However, the evolution of wind speed is influenced by the complex interaction of multiple factors, making it highly variable. The nonlinear and nonstationary nature of wind speed evolution can have a considerable impact on the overall power system. To address this challenge, we propose an integrated multiframe wind speed prediction system based on fuzzy feature extraction. This sys…

Generalizing blocking semiovals in finite projective planes
Marilena Crupi, Antonino Ficarra
https://arxiv.org/abs/2507.05037 https://

Generalizing blocking semiovals in finite projective planes
Blocking semiovals and the determination of their (minimum) sizes constitute one of the central research topics in finite projective geometry. In this article we introduce the concept of blocking set with the $r_\infty$-property in a finite projective plane $\text{PG}(2,q)$, with $r_\infty$ a line of $\text{PG}(2,q)$ and $q$ a prime power. This notion greatly generalizes that of blocking semioval. We address the question of determining those integers $k$ for which there exists a blocking set of…

This https://arxiv.org/abs/2505.21091 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCY_…

Position is Power: System Prompts as a Mechanism of Bias in Large Language Models (LLMs)
System prompts in Large Language Models (LLMs) are predefined directives that guide model behaviour, taking precedence over user inputs in text processing and generation. LLM deployers increasingly use them to ensure consistent responses across contexts. While model providers set a foundation of system prompts, deployers and third-party developers can append additional prompts without visibility into others' additions, while this layered implementation remains entirely hidden from end-users. As…

This https://arxiv.org/abs/2404.07249 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

PolyBin3D: A Suite of Optimal and Efficient Power Spectrum and Bispectrum Estimators for Large-Scale Structure
By measuring, modeling and interpreting cosmological datasets, one can place strong constraints on models of the Universe. Central to this effort are summary statistics such as power spectra and bispectra, which condense the high-dimensional data into low-dimensional representations. In this work, we introduce a modern set of estimators for computing such statistics from three-dimensional clustering data, and provide a flexible Python/Cython implementation; PolyBin3D. Working in a maximum-likel…

It's June, so I've got my Javastation off the shelf for the first time in a couple of decades. This is a Javastation Krups, with 100MHz sparc, sold as a diskless workstation. I never realised it had a PPP ROM boot in! Anyway, I should get on and set up networking and a boot server.
(Note: the plastic on the clips on the doors is fragile, 2 just pinged off on me)
#retrocomputing

Radical scaling: beyond our feet and fingers
Marc-Antoine Fardin, Mathieu Hautefeuille, Vivek Sharma
https://arxiv.org/abs/2507.02631 https://

Radical scaling: beyond our feet and fingers
Scaling laws arise and are eulogized across disciplines from natural to social sciences for providing pithy, quantitative, `scale-free', and `universal' power law relationships between two variables. On a log-log plot, the power laws display as straight lines, with a slope set by the exponent of the scaling law. In practice, a scaling relationship works only for a limited range, bookended by crossovers to other scaling laws. Leading with Taylor's oft-cited scaling law for the blast radius of an…

FFS
Ray Stevens, a Gold Coast Liberal National party MP has called for the return of vagrancy laws to allow police to prosecute homeless people amid an ongoing crackdown on tent cities in Queensland.
"The police reluctantly tell me they have no legislative power to move these people on, which I find incredibly disappointing..."

This https://arxiv.org/abs/2407.18293 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

On the relation between magnetic field strength and gas density in the interstellar medium: A multiscale analysis
The magnetic field strength to gas density relation in the interstellar medium is of fundamental importance. We present and compare Bayesian analyses of the B-n relation for two comprehensive observational data sets: a Zeeman data set and 700 observations using the Davis-Chandrasekhar-Fermi (DCF) method. Using a hierarchical Bayesian analysis we present a general, multi-scale broken power-law relation, $B=B_0(n/n_0)^α$ , with $α=α_1$ for $nn_0$, and with $B_0$ the fie…

The UK CMA giving Google "strategic market status" could allow publishers to opt out of Google AI Overviews without removing websites from search (Dominic Ponsford/Press Gazette)
https://pressgazette.co.uk/platforms/cma-to…

CMA set to force Google to work more fairly with UK publishers
CMA sets out plans to start curbing Google power in the UK and will address secrecy and unfairness around Google AI Overviews.

We can say this at least:
Musk is one of the most malignant people ever to hold a position of influence in American politics.
His actions, without exaggeration, have devastated the health and security of American society
and directly caused the deaths of tens of thousands of people all over the world, with millions more to follow given the course that he has set.
Musk’s DOGE, which is more or less a conspiracy to destroy constitutional government in this country, has …

Go, Elon, and Never Darken Our Doors Again
The worst ultra-billionaire on Earth says he’s leaving government. Let’s hope he actually does it.

Natura Urbana VII 🏡
城市自然 VII 🏡
📷 Nikon FE
🎞️Ilford FP4 Plus, expired 1995
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Yiding Cao Geld mit PayPal.Me senden
Folgen Sie dem Link PayPal.Me/dingsterdingster und geben Sie den Betrag ein. Es ist bequem und sicher. Sie haben noch kein PayPal-Konto? Kein Problem.

Chaotic Noncoherent SWIPT in Multi-Functional RIS-Aided Systems
Priyadarshi Mukherjee, Constantinos Psomas, Himal A. Suraweera, Ioannis Krikidis
https://arxiv.org/abs/2506.01051

Chaotic Noncoherent SWIPT in Multi-Functional RIS-Aided Systems
In this letter, we investigate the design of chaotic signal-based transmit waveforms in a multi-functional reconfigurable intelligent surface (MF-RIS)-aided set-up for simultaneous wireless information and power transfer. We propose a differential chaos shift keying-based MF-RIS-aided set-up, where the MF-RIS is partitioned into three non-overlapping surfaces. The elements of the first sub-surface perform energy harvesting (EH), which in turn, provide the required power to the other two sub-sur…

GPU-based complete search for nonlinear minimization subject to bounds
Guanglu Zhang, Qihang Shan, Jonathan Cagan
https://arxiv.org/abs/2507.01770 https://…

GPU-based complete search for nonlinear minimization subject to bounds
This paper introduces a GPU-based complete search method to enclose the global minimum of a nonlinear function subject to simple bounds on the variables. Using interval analysis, coupled with the computational power and architecture of GPU, the method iteratively rules out the regions in the search domain where the global minimum cannot exist and leaves a finite set of regions where the global minimum must exist. For effectiveness, because of the rigor of interval analysis, the method is guaran…

On $A$-Groups with the Same Index Set as a Nilpotent Group
Wei Zhou, Ilya Gorshkov
https://arxiv.org/abs/2506.15250 https://arxiv.org…

On $A$-Groups with the Same Index Set as a Nilpotent Group
Let $G$ be a finite group and $N(G)$ be the set of conjugacy class sizes of $G$. For a prime $p$, let $|G||_p$ be the highest $p$-power dividing some element of $N(G)$. and define $|G|| = Π_{p\in π(G)}|G||_p$. $G$ is said to be an $A$-group if all its Sylow subgroups are abelian. We prove that if $G$ is an $A$-group such that $N(G)$ contains $|G||_p$ for every $p\in π(G)$ as well as $|G||$, then $G$ must be abelian. T…

Series B, Episode 02 - Shadow
ORAC: The bridge is complete.
VILA: What? What did he say?
GAN: Something's wrong.
VILA: No, that wasn't it.
ZEN: Information. Liberator is losing power from all systems. Orbital maintenance is threatened.
https://blake.torpidity.net/m/202/555

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

Mizohata-Takeuchi inequalities for orthonormal systems
Jonathan Bennett, Neal Bez, Susana Gutierrez, Shohei Nakamura, Itamar Oliveira
https://arxiv.org/abs/2506.03783

Mizohata-Takeuchi inequalities for orthonormal systems
We establish some weighted $L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process we develop a direct approach to such inequalities based on generalised Wigner distributions, complementing the Schatten duality approach that is prevalent in the wider context of estimates for such orthonormal systems. Our results are set within a broader family of tentatively suggested ($L^p$) inequalities of Mizohata-Takeuchi type. For $p$ a power of two at least…

Decoding Noise in Nanofluidic Systems: Adsorption versus Diffusion Signatures in Power Spectra
Anna Drummond Young, Alice L. Thorneywork, Sophie Marbach
https://arxiv.org/abs/2506.23867

Decoding Noise in Nanofluidic Systems: Adsorption versus Diffusion Signatures in Power Spectra
Adsorption processes play a fundamental role in molecular transport through nanofluidic systems, but their signatures in measured signals are often hard to distinguish from other processes like diffusion. In this paper, we derive an expression for the power spectral density (PSD) of particle number fluctuations in a channel, accounting for diffusion and adsorption/desorption to a wall. Our model, validated by Brownian dynamics simulations, is set in a minimal yet adaptable geometry, allowing us…

Conservative quantum offline model-based optimization
Kristian Sotirov, Annie E. Paine, Savvas Varsamopoulos, Antonio A. Gentile, Osvaldo Simeone
https://arxiv.org/abs/2506.19714 …

Conservative quantum offline model-based optimization
Offline model-based optimization (MBO) refers to the task of optimizing a black-box objective function using only a fixed set of prior input-output data, without any active experimentation. Recent work has introduced quantum extremal learning (QEL), which leverages the expressive power of variational quantum circuits to learn accurate surrogate functions by training on a few data points. However, as widely studied in the classical machine learning literature, predictive models may incorrectly e…

Isotopisms of quadratic quasigroups
Jack Allsop
https://arxiv.org/abs/2506.02446 https://arxiv.org/pdf/2506.02446

Isotopisms of quadratic quasigroups
A quasigroup is a pair $(Q, \cdot)$ where $Q$ is a non-empty set and $\cdot$ is a binary operation on $Q$ such that for every $(u, v) \in Q^2$ there exists a unique $(x, y) \in Q^2$ such that $u \cdot x = v = y \cdot u$. Let $q$ be an odd prime power, let $\mathbb{F}_q$ denote the finite field of order $q$, and let $\mathcal{R}_q$ denote the set of non-zero squares in $\mathbb{F}_q$. Let $\{a, b\} \subseteq \mathbb{F}_q$ be such that $\{ab, (a-1)(b-1)\} \subseteq \mathcal{R}_q$. Let $\mathcal{Q…

Learning Point Correspondences In Radar 3D Point Clouds For Radar-Inertial Odometry
Jan Michalczyk, Stephan Weiss, Jan Steinbrener
https://arxiv.org/abs/2506.18580

Learning Point Correspondences In Radar 3D Point Clouds For Radar-Inertial Odometry
Using 3D point clouds in odometry estimation in robotics often requires finding a set of correspondences between points in subsequent scans. While there are established methods for point clouds of sufficient quality, state-of-the-art still struggles when this quality drops. Thus, this paper presents a novel learning-based framework for predicting robust point correspondences between pairs of noisy, sparse and unstructured 3D point clouds from a light-weight, low-power, inexpensive, consumer-gra…

This https://arxiv.org/abs/2407.08438 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Symmetries of power-free integers in number fields and their shift spaces
We describe the group of $\mathbb Z$-linear automorphisms of the ring of integers of a number field $K$ that preserve the set $V_{K,k}$ of $k$th power-free integers: every such map is the composition of a field automorphism and the multiplication by a unit. We show that those maps together with translations generate the extended symmetry group of the shift space $\mathbb D_{K,k}$ associated to $V_{K,k}$. Moreover, we show that no two such dynamical systems $\mathbb D_{K,k}$ and $\mathbb D_{L,…

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…

This https://arxiv.org/abs/2305.19965 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A clustering theorem in fractional Sobolev spaces
We prove a general clustering result for the fractional Sobolev space $W^{s,p}$: whenever the positivity set of a function $u$ in a square has measure bounded from below by a multiple of the cube's volume, and the $W^{s,p}$-seminorm of $u$ is bounded from above by a convenient power of the cube's side, then $u$ is positive in a universally reduced cube. Our result aims at applications in regularity theory for fractional elliptic and parabolic equations. Also, by means of suitable interpolation …

Linear and Second-order-cone Valid Inequalities for Problems with Storage
Juan M. Morales
https://arxiv.org/abs/2506.21470 https://ar…

Linear and Second-order-cone Valid Inequalities for Problems with Storage
Batteries are playing an increasingly central role as distributed energy resources in the shift toward power systems dominated by renewable energy sources. However, existing battery models must invariably rely on complementarity constraints to prevent simultaneous charging and discharging, rendering models of a disjunctive nature and NP-hard. In this paper, we analyze the disjunctive structure of the battery's feasible operational set and uncover a submodularity property in its extreme power tr…

This https://arxiv.org/abs/2408.14648 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Induced Saturation of the Poset 2C_2
Given a set $X$, the power set $\mathbb{P}(X)$, and a finite poset $P$, a family $F\subset \mathbb{P}(X)$ is said to be induced-$P$-free if there is no injection $ϕ: P\rightarrow \mathbb{F}$ such that $ϕ(p)\subseteqϕ(q)$ if and only if $p\leq_{P} q$, for all $p, q \in P$. The family $F$ is induced-$P$-saturated if it is maximal with respect to being induced-$P$-free. If $n=|X|$, then the size of the smallest induced-$P$-saturated family in $\mathbb{P}(X)$ is denoted $sat(n,P)$. T…

Modeling the Cosmological Lyman-$\alpha$ Forest at the Field Level
Roger de Belsunce, Mikhail M. Ivanov, James M. Sullivan, Kazuyuki Akitsu, Shi-Fan Chen
https://arxiv.org/abs/2507.00284

Modeling the Cosmological Lyman-$α$ Forest at the Field Level
The distribution of absorption lines in the spectra of distant quasars, called the Lyman-$α$ (Ly-$α$) forest, is a unique probe of cosmology and the intergalactic medium at high redshifts and small scales. The statistical power of ongoing redshift surveys demands precise theoretical tools to model the Ly-$α$ forest. We address this challenge by developing an analytic, perturbative forward model to predict the Ly-$α$ forest at the field level for a given set of cosmological initial condition…

#Blakes7 Series D, Episode 11 - Orbit
VILA: I think so. Try it now.
AVON: Switching to manual. Maximum power on all drives.
[Biodome]
PINDER: Egrorian.
EGRORIAN: They've broken the autocontrol and switched to manual. We've allowed for that.

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

This https://arxiv.org/abs/2409.19491 has been replaced.
link: https://scholar.google.com/scholar?q=a

Growth of finitely generated subgroups of the topological full groups of inverse semigroups of bounded type
Given an inverse semigroup $G_0$ of bounded type, we show, along with some other assumptions, that if the set of incompressible elements of $G_0$ is finite, then any finitely generated subgroup $G$ of the topological full group $\mathsf{F}(G_0)$ that is orbit equivalent to $G_0$ has subexponential growth with a bounded power in the exponent.

#Blakes7 Series D, Episode 11 - Orbit
VILA: I think so. Try it now.
AVON: Switching to manual. Maximum power on all drives.
[Biodome]
PINDER: Egrorian.
EGRORIAN: They've broken the autocontrol and switched to manual. We've allowed for that.

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

Natural Intelligence: the information processing power of life
Seth Lloyd, Michele Reilly
https://arxiv.org/abs/2506.16478 https://ar…

Natural Intelligence: the information processing power of life
Merely by existing, all physical systems contain information, and physical dynamics transforms and processes that information. This note investigates the information processing power of living systems. Living systems harvest free energy from the sun, from geothermal sources, and from each other. They then use that free energy to drive the complex set of chemical interactions that underlie life. All molecules -- be they simple molecules such as water, or complex molecules such as DNA -- register…

The DORCHA suite: nature, nurture, and the phase space distribution of the Milky Way's high redshift progenitors today
Sreedhar Balu, Chris Power, Kris Walker, J. Stuart B. Wyithe
https://arxiv.org/abs/2506.14016

The DORCHA suite: nature, nurture, and the phase space distribution of the Milky Way's high redshift progenitors today
Where in the present-day Milky Way should we search for the remnants of its earliest stars? We address this question using the DORCHA (Gaelic for Dark; DUR-uh-khuh) suite: a set of 25 high-resolution, dark-matter-only cosmological zoom-in simulations of Milky Way analogue (MWA) haloes evolved to $z=0$. Of these, 15 are isolated and the rest are in pairs, similar to the MW and M31. By identifying and tagging the most bound material in high-redshift ($z\geq5$) progenitor haloes -- those likely to…

Series B, Episode 01 - Redemption
VILA: Maximum. Can we hold together at that speed?
AVON: We won't have to.
VILA: What do you mean?
BLAKE: Running at full power will drain the energy banks in - what?
AVON: Two hours at the most.
https://blake.torpidity.net/m/201/133

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Worst-Case Complexity of High-Order Algorithms for Pareto-Front Reconstruction
Andrea Cristofari, Marianna De Santis, Stefano Lucidi, Giampaolo Liuzzi
https://arxiv.org/abs/2506.11929

Worst-Case Complexity of High-Order Algorithms for Pareto-Front Reconstruction
In this paper, we are concerned with a worst-case complexity analysis of a-posteriori algorithms for unconstrained multiobjective optimization. Specifically, we propose an algorithmic framework that generates sets of points by means of $p$th-order models regularized with a power $p+1$ of the norm of the step. Through a tailored search procedure, several trial points are generated at each iteration and they can be added to the current set if a decrease is obtained for at least one objective func…

Bayesian integrative factor analysis methods, with application in nutrition and genomics data
Mavis Liang, Blake Hansen, Alejandra Avalos-Pacheco, Roberta De Vito
https://arxiv.org/abs/2506.18479

Bayesian integrative factor analysis methods, with application in nutrition and genomics data
High-dimensional data are crucial in biomedical research. Integrating such data from multiple studies is a critical process that relies on the choice of advanced statistical models, enhancing statistical power, reproducibility, and scientific insight compared to analyzing each study separately. Factor analysis (FA) is a core dimensionality reduction technique that models observed data through a small set of latent factors. Bayesian extensions of FA have recently emerged as powerful tools for mu…