Tootfinder

KKR invests in Infobric, a Stirling Square-backed Swedish company that offers software to the construction industry, sources say at a ~€600M valuation (Swetha Gopinath/Bloomberg)
https://www.bloomberg.com/news/articles/2025-09-2…

Dihedral groups of square-free order are DCI-groups
Istv\'an Kov\'acs, G\'abor Somlai
https://arxiv.org/abs/2509.02778 https://arxiv.org/pdf/25…

Dihedral groups of square-free order are DCI-groups
A finite group $G$ is a called a DCI-group if any two isomorphic Cayley digraphs of $G$ are also isomorphic via an automorphism of $G$. If $G$ is a non-abelian generalised dihedral DCI-group, then Dobson, Muzychuk, and Spiga proved that $G$ must be a dihedral group of square-free order (Ars Math. Contemp., 2022). In this paper, we prove that the converse statement also holds, i.\,e., all dihedral groups of square-free order are DCI-groups.

My 9mm goes bang again: here's the front entrance to Harold's Square framed by Paris Baguette which isn't from Paris but rather from South Korea
#photo #photography #ithaca

Rings Whose Non-Units are Square-Nil Clean
Mina Doostalizadeh, Ahmad Moussavi, Peter Danchev
https://arxiv.org/abs/2508.01286 https://arxiv.org/pdf/2508.01…

Rings Whose Non-Units are Square-Nil Clean
We consider in-depth and characterize in certain aspects the class of so-called {\it strongly NUS-nil clean rings}, that are those rings whose non-units are {\it square nil-clean} in the sense that they are a sum of a nilpotent and a square-idempotent that commutes with each other. This class of rings lies properly between the classes of strongly nil-clean rings and strongly clean rings. In fact, it is proved the valuable criterion that a ring $R$ is strongly NUS-nil clean if, and only if, $a^4…

Percolation of random compact diamond-shaped systems on the square lattice
Charles S. do Amaral, Mateus G. Soares, Robert M. Ziff
https://arxiv.org/abs/2508.01320 https://

Percolation of random compact diamond-shaped systems on the square lattice
We study site percolation on a square lattice with random compact diamond-shaped neighborhoods. Each site $s$ is connected to others within a neighborhood in the shape of a diamond of radius $r_s$, where $r_s$ is uniformly chosen from the set $\{i, i+1, \ldots, m\}$ with $i \leq m$. The model is analyzed for all values of $i = 0, \ldots, 7$ and $m = i, \ldots, 10$, where $\overline{z}(i,m)$ denotes the average number of neighbors per site and $p_c(i,m)$ is the critical percolation threshold. Fo…

urban_streets: Urban street networks (2017)
20 urban street networks, corresponding to 1-square-mile maps of 20 cities around the world.
This network has 1496 nodes and 2255 edges.
Tags: Transportation, Roads, Unweighted, Metadata
https://networks.skewed.de/net/urban_str…

Closeup of bond pad on a PIC12F683 after etching off the Cu ball bond.
Gold: overglass sealing the edges of the bond pad
White: Al bond pad surface
Tan: Barrier/adhesion layer under the Al, likely TiN (more likely) or sometimes TaN
You can clearly see the imprint where the bond wire (etched off during decap) squished into the pad and squeezed the aluminum out around the perimeter. The middle area either got thinned down mechanically during the bonding process, or form…

Estimates for maximal Fourier multiplier operators on $\Bbb R^2$ via square functions
Shuichi Sato
https://arxiv.org/abs/2508.00279 https://arxiv.org/pdf/2…

Estimates for maximal Fourier multiplier operators on $\Bbb R^2$ via square functions
We consider certain Littlewood-Paley square functions on $\Bbb R^2$ and prove sharp estimates for them, from which we can deduce $L^p$ boundedness of maximal functions defined by Fourier multipliers of Bochner-Riesz type on $\Bbb R^2$. This is a generalization of a result due to A. Carbery 1983.

An SUV carrying ICE agents had been blocked in traffic by a man on a scooter for about 30 seconds
when suddenly the agents tossed canisters out their windows that quickly began expelling smoke onto the streets, Denton said.
Aside from “people yelling at them, telling them to leave, and a lot of honking,
no one was attacking the agents,” said Denton, who lives in Logan Square.
“There was no reason for them to do that,” he added.
“It’s upsetting to see people bei…

El Cheeto's "ballroom" for the whitehouse will be ghastly oversized.
90,000 square feet is more than two acres, is about the same size as about forty 3-bedroom homes.
It is not a "ballroom", it is a convention center.

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar
https://arxiv.org/abs/2509.03129

Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers up to $3$ million. We analyze the Mordell-Weil ranks, 2-Selmer ranks, and 3-Selmer ranks of the corresponding elliptic curves $E_D: y^2 = x^3 - D^2x$, where $D$ is a square-free number. Our study empirically examines the Heath-Brown heuristics, which predict the distribution of $2$-Selmer ranks as well as congruent n…

Beyond the widely discussed celebration in #China, #Vietnam featured
"one of the largest parades in decades, featuring fighter jets, warships, tanks and stirring moments of pride."
As in, odd military pride worth noting.

Iconic photos showcase Vietnam’s historic 80th National Day celebrations
Millions of people filled Hanoi’s streets and Ba Dinh Square on Sept. 2 as Vietnam marked its 80th National Day with one of the largest parades in decades, featuring fighter jets, warships, tanks and stirring moments of pride captured in a series of unforgettable images.

"You know what? Let’s be crazy. Objective-C 3.0 would have removed the requirement for square brackets. Yes, I’ve said it. Extending the dot syntax for method calling. And since we’re at it, drop the @ sign for strings, arrays, and dictionaries. Seriously, just drop it."
https://akos.ma/blog/what-obje…

What Objective-C 3.0 Could Have Been
In a parallel universe, in a parallel WWDC 2014, instead of Swift, developers got Objective-C 3.0, and this is what it would have looked like. It’s the same parallel universe where Russia doesn’t annex Crimea, by the way.

Long post, game design
Crungle is a game designed to be a simple test of general reasoning skills that's difficult to play by rote memory, since there are many possible rule sets, but it should be easy to play if one can understand and extrapolate from rules. The game is not necessarily fair, with the first player often having an advantage or a forced win. The game is entirely deterministic, although a variant determines the rule set randomly.
This is version 0.1, and has not yet been tested at all.
Crungle is a competitive game for two players, each of whom controls a single piece on a 3x3 grid. The cells of the grid are numbered from 1 to 9, starting at the top left and proceeding across each row and then down to the next row, so the top three cells are 1, 2, and 3 from left to right, then the next three are 4, 5, and 6 and the final row is cells 7, 8, and 9.
The two players decide who shall play as purple and who shall play as orange. Purple goes first, starting the rules phase by picking one goal rule from the table of goal rules. Next, orange picks a goal rule. These two goal rules determine the two winning conditions. Then each player, starting with orange, alternate picking a movement rule until four movement rules have been selected. During this process, at most one indirect movement rule may be selected. Finally, purple picks a starting location for orange (1-9), with 5 (the center) not allowed. Then orange picks the starting location for purple, which may not be adjacent to orange's starting position.
Alternatively, the goal rules, movement rules, and starting positions may be determined randomly, or a pre-determined ruleset may be selected.
If the ruleset makes it impossible to win, the players should agree to a draw. Either player could instead "bet" their opponent. If the opponent agrees to the bet, the opponent must demonstrate a series of moves by both players that would result in a win for either player. If they can do this, they win, but if they submit an invalid demonstration or cannot submit a demonstration, the player who "bet" wins.
Now that starting positions, movement rules, and goals have been decided, the play phase proceeds with each player taking a turn, starting with purple, until one player wins by satisfying one of the two goals, or until the players agree to a draw. Note that it's possible for both players to occupy the same space.
During each player's turn, that player identifies one of the four movement rules to use and names the square they move to using that rule, then they move their piece into that square and their turn ends. Neither player may use the same movement rule twice in a row (but it's okay to use the same rule your opponent just did unless another rule disallows that). If the movement rule a player picks moves their opponent's piece, they need to state where their opponent's piece ends up. Pieces that would move off the board instead stay in place; it's okay to select a rule that causes your piece to stay in place because of this rule. However, if a rule says "pick a square" or "move to a square" with some additional criteria, but there are no squares that meet those criteria, then that rule may not be used, and a player who picks that rule must pick a different one instead.
Any player who incorrectly states a destination for either their piece or their opponent's piece, picks an invalid square, or chooses an invalid rule has made a violation, as long as their opponent objects before selecting their next move. A player who makes at least three violations immediately forfeits and their opponent wins by default. However, if a player violates a rule but their opponent does not object before picking their next move, the stated destination(s) of the invalid move still stand, and the violation does not count. If a player objects to a valid move, their objection is ignored, and if they do this at least three times, they forfeit and their opponent wins by default.
Goal rules (each player picks one; either player can win using either chosen rule):
End your turn in the same space as your opponent three turns in a row.
End at least one turn in each of the 9 cells.
End five consecutive turns in the three cells in any single row, ending at least one turn on each of the three.
End five consecutive turns in the three cells in any single column, ending at least one turn on each of the three.
Within the span of 8 consecutive turns, end at least one turn in each of cells 1, 3, 7, and 9 (the four corners of the grid).
Within the span of 8 consecutive turns at least one turn in each of cells 2, 4, 6, and 8 (the central cells on each side).
Within the span of 8 consecutive turns, end at least one turn in the cell directly above your opponent, and end at least one turn in the cell directly below your opponent (in either order).
Within the span of 8 consecutive turns at least one turn in the cell directly to the left of your opponent, and end at least one turn in the cell directly to the right of your opponent (in either order).
End 12 turns in a row without ending any of them in cell 5.
End 8 turns in a row in 8 different cells.
Movement rules (each player picks two; either player may move using any of the four):
Move to any cell on the board that's diagonally adjacent to your current position.
Move to any cell on the board that's orthogonally adjacent to your current position.
Move up one cell. Also move your opponent up one cell.
Move down one cell. Also move your opponent down one cell.
Move left one cell. Also move your opponent left one cell.
Move right one cell. Also move your opponent right one cell.
Move up one cell. Move your opponent down one cell.
Move down one cell. Move your opponent up one cell.
Move left one cell. Move your opponent right one cell.
Move right one cell. Move your opponent left one cell.
Move any pieces that aren't in square 5 clockwise around the edge of the board 1 step (for example, from 1 to 2 or 3 to 6 or 9 to 8).
Move any pieces that aren't in square 5 counter-clockwise around the edge of the board 1 step (for example, from 1 to 4 or 6 to 3 or 7 to 8).
Move to any square reachable from your current position by a knight's move in chess (in other words, a square that's in an adjacent column and two rows up or down, or that's in an adjacent row and two columns left or right).
Stay in the same place.
Swap places with your opponent's piece.
Move back to the position that you started at on your previous turn.
If you are on an odd-numbered square, move to any other odd-numbered square. Otherwise, move to any even-numbered square.
Move to any square in the same column as your current position.
Move to any square in the same row as your current position.
Move to any square in the same column as your opponent's position.
Move to any square in the same row as your opponent's position.
Pick a square that's neither in the same row as your piece nor in the same row as your opponent's piece. Move to that square.
Pick a square that's neither in the same column as your piece nor in the same column as your opponent's piece. Move to that square.
Move to one of the squares orthogonally adjacent to your opponent's piece.
Move to one of the squares diagonally adjacent to your opponent's piece.
Move to the square opposite your current position across the middle square, or stay in place if you're in the middle square.
Pick any square that's closer to your opponent's piece than the square you're in now, measured using straight-line distance between square centers (this includes the square your opponent is in). Move to that square.
Pick any square that's further from your opponent's piece than the square you're in now, measured using straight-line distance between square centers. Move to that square.
If you are on a corner square (1, 3, 7, or 9) move to any other corner square. Otherwise, move to square 5.
If you are on an edge square (2, 4, 6, or 8) move to any other edge square. Otherwise, move to square 5.
Indirect movement rules (may be chosen instead of a direct movement rule; at most one per game):
Move using one of the other three movement rules selected in your game, and in addition, your opponent may not use that rule on their next turn (nor may they select it via an indirect rule like this one).
Select two of the other three movement rules, declare them, and then move as if you had used one and then the other, applying any additional effects of both rules in order.
Move using one of the other three movement rules selected in your game, but if the move would cause your piece to move off the board, instead of staying in place move to square 5 (in the middle).
Pick one of the other three movement rules selected in your game and apply it, but move your opponent's piece instead of your own piece. If that movement rule says to move "your opponent's piece," instead apply that movement to your own piece. References to "your position" and "your opponent's position" are swapped when applying the chosen rule, as are references to "your turn" and "your opponent's turn" and do on.
#Game #GameDesign

Online visual prosthesis trainer for the blind: reach for and touch the randomly placed white square. This gives a short beep and a new random position https://www.seeingwithsound.com/touchme.htm?size=15 for The vOICe vision BCI glasses, Neuralink Blindsight, etc.

View out my office window

Resonances for the one dimensional Schr\"odinger operator with the matrix-valued complex square-well potential
Yuri Latushkin, Alin Pogan
https://arxiv.org/abs/2509.00235 h…

Resonances for the one dimensional Schrödinger operator with the matrix-valued complex square-well potential
We study the resonances of (generally, non-selfadjoint) Schrödinger operators with matrix-valued square-well potentials. We compute explicitly the Jost function and derive complex transcendental equations for the resonances. We prove several results concerning the distribution of resonances in the complex plane. We compute the multiplicity of resonances and prove a version of the Weyl Law for the number of resonances.

SQUARE: Semantic Query-Augmented Fusion and Efficient Batch Reranking for Training-free Zero-Shot Composed Image Retrieval
Ren-Di Wu, Yu-Yen Lin, Huei-Fang Yang
https://arxiv.org/abs/2509.26330

SQUARE: Semantic Query-Augmented Fusion and Efficient Batch Reranking for Training-free Zero-Shot Composed Image Retrieval
Composed Image Retrieval (CIR) aims to retrieve target images that preserve the visual content of a reference image while incorporating user-specified textual modifications. Training-free zero-shot CIR (ZS-CIR) approaches, which require no task-specific training or labeled data, are highly desirable, yet accurately capturing user intent remains challenging. In this paper, we present SQUARE, a novel two-stage training-free framework that leverages Multimodal Large Language Models (MLLMs) to enha…

Chiefs vs. Chargers Week 1: Three key storylines for Friday's game in Brazil https://www.nfl.com/news/chiefs-chargers-2025-nfl-season-week-one-brazil-three-storylines

Magnetic-Field Control of Emergent Order in a 3D Dipolar Pyramid Artificial Spin Ice
Luca Berchialla, Gavin M. Macauley, Flavien Museur, Anja Weber, Laura J. Heyderman
https://arxiv.org/abs/2509.01534 …

Magnetic-Field Control of Emergent Order in a 3D Dipolar Pyramid Artificial Spin Ice
We realize a three-dimensional artificial spin ice of disconnected nanomagnets interacting solely via dipolar coupling, patterned on square pyramids. This Pyramid artificial spin ice, with both tilted and in-plane nanomagnets, supports tunable states. Monte Carlo simulations reveal a rich phase diagram and an emergent square ice of vertex-level effective spins. Tailored demagnetization protocols and magnetic force microscopy allow experimental access to low-energy states, establishing a platfor…

Emergence and localization of exceptional points in an exactly solvable toy model
Miloslav Znojil
https://arxiv.org/abs/2510.01756 https://arxiv.org/pdf/25…

Emergence and localization of exceptional points in an exactly solvable toy model
The most elementary non-Hermitian quantum square-well problem with real spectrum is considered. The Schroedinger equation is required discrete and endowed with PT-symmetric Robin (i.e., two-parametric) boundary conditions. Some of the rather enigmatic aspects of impact of the variability of the parameters on the emergence of the Kato's exceptional-point (EP) singularities is clarified. In particular, the current puzzle of the apparent absence of the EP degeneracies at the odd-matrix dimensions …

City Snaps - Chengdu / Freeze Frame ⏳
城市抓拍 - 成都 /静帧 ⏳
📷 Nikon FE
🎞️Ilford Pan 400
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Global convergence of Oja's component flow for general square matrices and its applications
Daiki Tsuzuki, Kentaro Ohki
https://arxiv.org/abs/2510.00801 https://

Global convergence of Oja's component flow for general square matrices and its applications
This paper establishes the global convergence properties of the Oja flow, a continuous-time algorithm for principal component extraction, for general square matrices. The Oja flow is a matrix differential equation on the Stiefel manifold designed to extract a dominant subspace. While its analysis has traditionally been restricted to symmetric positive-definite matrices, where it acts as a gradient flow, recent applications have extended its use to general matrices. In this non-symmetric case, t…

Mmm… cheese.
#Lightphone #LP3

This was a nice example found by @… of a brickwork tiling that seemed random until someone spotted and shared the pattern - a kind of risset rhythm in brickwork https://forum.alg…

Measure Selection for Functional Linear Model
Su I Iao, Hans-Georg M\"uller
https://arxiv.org/abs/2509.00583 https://arxiv.org/pdf/2509.00583

Measure Selection for Functional Linear Model
Advancements in modern science have led to an increased prevalence of functional data, which are usually viewed as elements of the space of square-integrable functions $L^2$. Core methods in functional data analysis, such as functional principal component analysis, are typically grounded in the Hilbert structure of $L^2$ and rely on inner products based on integrals with respect to the Lebesgue measure over a fixed domain. A more flexible framework is proposed, where the measure can be arbitrar…

I'm lucky in libraries, because of where I live.
My local library "system": Pikes Peak Library District is made up of 14 library locations and 3 mobile libraries that serve 500,000 people living in 2,070 square miles of El Paso County, CO, USA.
But ONLY if you live in this county.
A neighboring county has BUPKIS.
Queens Public Library (New York, USA) $50/year. Accepts non-US residents.

What's wrong with this picture?

You can't say Ithaca isn't building housing: here are (left to right) Harolds Square and Asteri looming in the background with murals on the side of the Press Bay Alley retail development
#ithaca #buildings

Diffusive shock acceleration: non-classical model of cosmic ray transport
A. A. Lagutin
https://arxiv.org/abs/2509.03091 https://arxiv.org/pdf/2509.03091…

Diffusive shock acceleration: non-classical model of cosmic ray transport
In this work the theory of diffusive shock acceleration is extended to the case of non-classical particle transport with Lévy flights and Lévy traps, when the mean square displacement grows nonlinearly with time. In this approach the Green function is not a Gaussian but it exhibits power-law tails. By using the propagator appropriate for non-classical diffusion, it is found for the first time that energy spectral index of particles accelerated at shock front is $γ= [α(\mathrm{r} + 5) - 6 β…

from my link log —
Square theory and unparalleled misalignments in American-style crosswords.
https://aaronson.org/blog/square-theory
saved 2025-05-27

Square Theory
The story starts in Crosscord, the crossword Discord server. Over 5,000 users strong, the server has emerged as a central hub for the online crossword community, a buzzing, sometimes overwhelming, sometimes delightful town square where total noobs, veteran constructors, and champion solvers alike come together to talk about words that cross each other.

On indecomposable involutive solutions to the Yang-Baxter equation whose squaring map is a $p$-cycle
Marco Castelli, Arpan Kanrar
https://arxiv.org/abs/2508.01613 https://

On indecomposable involutive solutions to the Yang-Baxter equation whose squaring map is a $p$-cycle
The pioneering work of Rump, which proved Gateva-Ivanova's conjecture concerning the decomposability of square-free solutions to the Yang-Baxter equation, significantly motivated further research into the associated squaring map $T$. This line of inquiry has yielded numerous decomposability theorems based on the underlying structure of $T$. Two seminal questions, posed by Ramírez and Vendramin, ask about the existence of certain indecomposable involutive solutions whose squaring maps are trans…

System Identification via Validation and Adaptation for Model Updating Applied to a Nonlinear Cantilever Beam
Cristian L\'opez, Jackson E. Herzlieb, Keegan J. Moore
https://arxiv.org/abs/2508.00931

System Identification via Validation and Adaptation for Model Updating Applied to a Nonlinear Cantilever Beam
The recently proposed System Identification via Validation and Adaptation (SIVA) method allows system identification, uncertainty quantification, and model validation directly from data. Inspired by generative modeling, SIVA employs a neural network that converts random noise to physically meaningful parameters. The known equation of motion utilizes these parameters to generate fake accelerations, which are compared to real training data using a mean square error loss. For concurrent parameter …

Replaced article(s) found for math.AC. https://arxiv.org/list/math.AC/new
[1/1]:
- Square-free powers of Cohen-Macaulay simplicial forests
Kanoy Kumar Das, Amit Roy, Kamalesh Saha

It's Tasteless to Speculate That Trump Might Soon Be Buried on Red Square Like Lenin (David Rothkopf/The Daily Beast)
https://www.thedailybeast.com/its-tasteless-to-speculate-that-trump-might-soon-be-buried-on-red-square-like-lenin/
http://www.memeorandum.com/250828/p121#a250828p121

A description of the radio astronomy data processing tool DDF Pipeline
Mathis Certenais, Fran\c{c}ois Bodin, Laurent Morin
https://arxiv.org/abs/2509.03075 https://

A description of the radio astronomy data processing tool DDF Pipeline
This paper presents the DDF Pipeline, a radio astronomy data processing tool initially designed for the LOw-Frequency ARray (LO- FAR) radio-telescope and a candidate for processing data from the Square Kilometre Array (SKA). This work describes the DDF Pipeline software and presents a coarse-grain profiling execution to characterize its performance.

Multi-Objective Aerodynamic Optimization of Ride Height and Rake Angle in a Sedan Car Using CFD and Machine Learning
Mahdi Kheirkhah, Ehsan Roohi, Mahmoud Pasandidehfard
https://arxiv.org/abs/2509.02917

Multi-Objective Aerodynamic Optimization of Ride Height and Rake Angle in a Sedan Car Using CFD and Machine Learning
This study investigates the aerodynamic performance of an Audi A4 sedan using CFD analysis. A 3D model was developed in SolidWorks and validated against DrivAer Notchback wind-tunnel data, showing only a 3.25 percent deviation in drag coefficient (Cd). Ride height varied from 1.336 to 1.536 m and rake angle from 0 to 5 degrees, across four Reynolds numbers. Gradient Boosting emerged as the most accurate predictive model (R square = 0.97 for Cd and 0.96 for lift coefficient, Cl), outperforming R…

Signatures of three-state Potts nematicity in spin excitations of the van der Waals antiferromagnet FePSe$_3$
Weiliang Yao, Viviane Pe\c{c}anha Antonio, Devashibhai Adroja, S. J. Gomez Alvarado, Bin Gao, Sijie Xu, Ruixian Liu, Xingye Lu, Pengcheng Dai
https://arxiv.org/abs/2509.02475

Signatures of three-state Potts nematicity in spin excitations of the van der Waals antiferromagnet FePSe$_3$
In two-dimensional (2D) nearly square-lattice quantum materials, electron correlations can induce an electronic nematic phase with twofold rotational ($C_2$) symmetry that profoundly impacts their properties. For 2D materials with threefold rotational ($C_3$) symmetry, such as the honeycomb lattice, a vestigial three-state Potts nematic order has been observed in the van der Waals antiferromagnet (AFM) FePSe$_3$ via optical and thermodynamic methods under uniaxial strain. Here, we use neutron s…

Crosslisted article(s) found for cond-mat.soft. https://arxiv.org/list/cond-mat.soft/new
[1/1]:
- Stress Analysis of a Square Elastic Body Under Biaxial Loading Using Airy Stress Functions
Ryu Suzuki, Shintaro Hokada, Satoshi Takada

Resonance sum rules: an application to the square well potential
Zi-Xi Ou-Yang, Philipp Gubler, Makoto Oka, Guang-Juan Wang, Jia-Jun Wu
https://arxiv.org/abs/2509.24336 https://…

Resonance sum rules: an application to the square well potential
We propose an extension of the Quantum Chromodynamics (QCD) sum rules, termed the Resonance sum rules (RSR), to access resonance poles in the complex energy plane. By strategically introducing a contour in the complex plane and conformal mapping, the method intends to reach resonance poles on the second Riemann sheet. To validate this approach, we apply RSR to the square-well potential model, for which the pole locations are known. The analysis demonstrates a successful extraction of the pole p…

Researchers Quietly Planned a Test to Dim Sunlight Over 3,900 Square Miles - Slashdot
https://news.slashdot.org/story/25/07/27/2146205/researchers-quietly-planned-a-test-to-dim-sunlight-over-3900-square-miles

Precise asymptotics for the norm of large random rectangular Toeplitz matrices
Alexei Onatski
https://arxiv.org/abs/2509.04349 https://arxiv.org/pdf/2509.0…

Precise asymptotics for the norm of large random rectangular Toeplitz matrices
We study the spectral norm of large rectangular random Toeplitz and circulant matrices with independent entries. For Toeplitz matrices, we show that the scaled norm converges to the norm of a bilinear operator defined via the pointwise product of two scaled sine kernel operators. In the square case, this limit reduces to the squared $2\!\to\!4$ norm of the sine kernel operator, in agreement with the result of Sen and Virág (2013). For $p\times n$ circulant matrices, we show that their norm div…

Getting started first day of @… with @… kicking things off
#FediCon

A Square-Root Free Algorithm for Computing Real Givens Rotations
Carlos F. Borges
https://arxiv.org/abs/2508.19431 https://arxiv.org/pdf/2508.19431

A Square-Root Free Algorithm for Computing Real Givens Rotations
We develop an accurate square-root-free algorithm for constructing real Givens rotations. On processors that support the fused multiply-add operation in hardware, the algorithm is competitive with square-root based algorithms using a hardware square-root. Unlike the square-root-free algorithms in \cite{Hsieh1993,GENTLEMAN1973,Barlow1987,Hammarling1974ANO,Ling1989EfficientLL,Hanson,Hanson2}, our approach will construct the Givens rotation directly and is therefore applicable to a much wider vari…

Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice
Jon Links
https://arxiv.org/abs/2509.01989 https://arxiv.org/pdf…

Bethe Ansatz solution for a model of global-range interacting bosons on the square lattice
Quantum systems on a one-dimensional lattice are ubiquitous in the study of models exactly-solved by Bethe Ansatz techniques. Here it is shown that including global-range interaction opens scope for Bethe Ansatz solutions that are not constrained to one-dimensional quantum systems. A bosonic model on a square lattice is defined, and the exact Bethe Ansatz solution is provided for open, cylindrical, and toroidal boundary conditions. Generalising the result for an integrable defect leads to a Bet…

The Bose-Hubbard polaron from weak to strong coupling
Tom Hartweg, Tanul Gupta, Guido Pupillo
https://arxiv.org/abs/2508.00486 https://arxiv.org/pdf/2508.0…

The Bose-Hubbard polaron from weak to strong coupling
We investigate the zero-temperature properties of a mobile impurity immersed in a bath of bosonic particles confined to a square lattice. We analyze the regimes of attractive and repulsive coupling between the impurity and the bath particles for different strengths of boson-boson interactions in the bath, using exact large-scale quantum Monte-Carlo simulations in the grand canonical ensemble. For weak coupling, the polaron mass ratio is found to decrease around the Mott insulator (MI) to superf…

Estimation of Effective Viscosity to Quantify Collisional Behavior in Collisionless Plasma
Subash Adhikari, Carlos Gonzalez, Yan Yang, Sean Oughton, Francesco Pecora, Riddhi Bandyopadhyay, William H. Matthaeus
https://arxiv.org/abs/2509.04374

Estimation of Effective Viscosity to Quantify Collisional Behavior in Collisionless Plasma
While dissipation in collisional plasma is defined in terms of viscosity and resistivity, the exact functional form of dissipation i.e., the so-called dissipation function in nearly collisionless plasma is unknown. Nevertheless, previous studies have suggested that there exists viscous-like energy conversion in collisionless plasma with scaling characteristics analogous to collisional plasma, and in particular that the average dissipation is proportional to the square of the rate of strain as i…

urban_streets: Urban street networks (2017)
20 urban street networks, corresponding to 1-square-mile maps of 20 cities around the world.
This network has 1840 nodes and 2407 edges.
Tags: Transportation, Roads, Unweighted, Metadata
https://networks.skewed.de/net/urban_st…

Random Operator-Valued Frames in Hilbert Spaces
James Tian
https://arxiv.org/abs/2508.01914 https://arxiv.org/pdf/2508.01914…

Random Operator-Valued Frames in Hilbert Spaces
This paper develops a framework for operator-valued random variables on separable Hilbert spaces. Random operators are defined as measurable maps into the space of bounded operators, with measurability understood in the strong operator sense. Under a coercivity condition on i.i.d. random positive contractions, an iterative scheme is introduced and shown to converge both in mean square and almost surely. The limit is identified, and the resulting family of iterated random operators forms a rando…

Ukraine liberates 160 km square in 'counteroffensive operation' in Donetsk Oblast, Zelensky says: https://benborges.xyz/2025/09/18/ukraine-liberates-km-square-in.html

Whoever had “Rockspider Lysenkoism” on their moronazi bingo card, please mark that square off now. https://mstdn.ca/@dyckron/114957745545922234

I upload HTML files to #Brightspace to have more control over my content (writing it in #Emacs #orgmode). It mostly works, but yesterday I discovered BS was corrupting my code examples by applying Mat…

Crosslisted article(s) found for math.SP. https://arxiv.org/list/math.SP/new
[1/1]:
- Resonances for the one dimensional Schr\"odinger operator with the matrix-valued complex square-w...
Yuri Latushkin, Alin Pogan

Wave Packet Propagation through Graphene with Square and Triangular Patterned Circular Potential Scatterers
G. M. Milibaeva, H. T. Yusupov, D. G. Berdiyorova, Y. Rakhimova, M. Yusupov, A. Chaves, Kh. Rakhimov
https://arxiv.org/abs/2510.01102

Wave Packet Propagation through Graphene with Square and Triangular Patterned Circular Potential Scatterers
In this study, using the Dirac continuum model combined with the split-operator technique, we investigate the propagation dynamics of wave packets in graphene in the presence of circular potential barriers arranged in square and triangular geometries. Our results reveal a non-monotonic dependence of the wave packet transmission on the number of barrier rows along the propagation direction: the transmission initially decreases as rows of barriers are removed, but then increases again when additi…

Projective models for Hilbert squares of $K3$ surfaces
\'Angel David R\'ios Ortiz, Andr\'es Rojas, Jieao Song
https://arxiv.org/abs/2510.02065 https://

Projective models for Hilbert squares of $K3$ surfaces
For a very general polarized $K3$ surface $S\subset \mathbb{P}^g$ of genus $g\ge 5$, we study the linear system on the Hilbert square $S^{[2]}$ parametrizing quadrics in $\mathbb{P}^g$ that contain $S$. We prove its very ampleness for $g\geq 7$. In the cases of genus 7 or 8, we describe in detail the projective geometry of the corresponding embedding by making use of the Mukai model for $S$. In both cases, it can be realized as a degeneracy locus on an ambient homogeneous space, in a strikingly…

Hecke fields of weight one exotic newforms
Ryotaro Sakamoto, Sho Yoshikawa
https://arxiv.org/abs/2509.00502 https://arxiv.org/pdf/2509.00502

Hecke fields of weight one exotic newforms
We determine the Hecke fields arising from weight-one newforms of $A_4$-type, $S_4$-type, and $A_5$-type in terms of the order of their nebentypus. For such newforms of square-free level, we provide a more refined classification of the corresponding Hecke fields.

On the Spectrum of Schr\"{o}dinger Operators Interacting at Two Distinct Scales
Emmanuel Fleurantin, Jeremy L. Marzuola, Christopher K. R. T. Jones
https://arxiv.org/abs/2509.02587

On the Spectrum of Schrödinger Operators Interacting at Two Distinct Scales
Schrödinger operators of the form $Δ- W$ on $L^2_{\text{rad}}(\mathbb{R}^3)$, the space of radially symmetric square integrable functions are relevant in a variety of physical contexts. The potential $W$ is taken to be radially symmetric (i.e. $W(x) = W(|x|)$) and to decompose into two components with distinct spatial scales: $W=W_\varepsilon= V_0+V_{1,\varepsilon}$. The second component $V_{1,\varepsilon}(|x|) = \varepsilon^2V_1(\varepsilon |x|)$ represents a sc…

ON SEMI MICROFC-60035-SMT-TR1 6mm square SIPM. This is the photodetector used in the Radiacode (or a very close cousin of it).
Full die (Mitutoyo 5x)
https://siliconpr0n.org/map/onsemi/microfc-60035-smt/azonenberg_mz_mit5x/
Full die…

Fast Computation of $k$-Runs, Parameterized Squares, and Other Generalised Squares
Yuto Nakashima, Jakub Radoszewski, Tomasz Wale\'n
https://arxiv.org/abs/2509.02179 https:/…

Fast Computation of $k$-Runs, Parameterized Squares, and Other Generalised Squares
A $k$-mismatch square is a string of the form $XY$ where $X$ and $Y$ are two equal-length strings that have at most $k$ mismatches. Kolpakov and Kucherov [Theor. Comput. Sci., 2003] defined two notions of $k$-mismatch repeats, called $k$-repetitions and $k$-runs, each representing a sequence of consecutive $k$-mismatch squares of equal length. They proposed algorithms for computing $k$-repetitions and $k$-runs working in $O(nk \log k + output)$ time for a string of length $n$ over an integer al…

Weyl double copy in bimetric massive gravity
Hugo Garc\'ia-Compe\'an, C\'esar I. Ramos
https://arxiv.org/abs/2510.01550 https://arxiv.org/pdf/2…

Weyl double copy in bimetric massive gravity
The Weyl double copy formalism, which relates the Weyl spinor with the square of the field strength, is studied in the context of Hassan-Rosen bigravity for stationary and time-dependent solutions. We consider the dyonic Kerr-Newman-(A)dS solution and the Plebański-Demiański metric in the context of bigravity. These solutions are studied in the Weyl double copy both with matter independently coupled and show that no massive modes are present in the Weyl spinor. The equations of motion for the…

Maximum a Posteriori Probability (MAP) Joint Carrier Frequency Offset (CFO) and Channel Estimation for MIMO Channels with Spatial and Temporal Correlations
Ibrahim Khalife, Ali Abbasi, Zhe Feng, Mingda Zhou, Xinming Huang, Youjian Liu
https://arxiv.org/abs/2509.01032

Maximum a Posteriori Probability (MAP) Joint Carrier Frequency Offset (CFO) and Channel Estimation for MIMO Channels with Spatial and Temporal Correlations
We consider time varying MIMO fading channels with known spatial and temporal correlation and solve the problem of joint carrier frequency offset (CFO) and channel estimation with prior distributions. The maximum a posteriori probability (MAP) joint estimation is proved to be equivalent to a separate MAP estimation of the CFO followed by minimum mean square error (MMSE) estimation of the channel while treating the estimated CFO as true. The MAP solution is useful to take advantage of the estima…

Mode-Matched Inverse Gamma Priors for Variance Components in Bayesian Multilevel Models
Liu Liu
https://arxiv.org/abs/2509.00636 https://arxiv.org/pdf/2509…

Mode-Matched Inverse Gamma Priors for Variance Components in Bayesian Multilevel Models
We introduce a strategy for specifying informative inverse-gamma (IG) priors for variance components in Bayesian multilevel models (MLMs), derived via transformations from chi-square to gamma to inverse-gamma distributions. A Monte Carlo simulation compared frequentist (maximum likelihood) estimation and Bayesian estimation using uninformative, weakly informative, and strongly informative variance priors across varied conditions (clusters J = 10, 30, 100; cluster sizes M = 5, 30; intraclass cor…

Closed-form Single UAV-aided Emitter Localization and Trajectory Design Using Doppler and TOA Measurements
Samaneh Motie, Hadi Zayyani, Mohammad Salman, Hasan Abu Hilal
https://arxiv.org/abs/2510.01778

Closed-form Single UAV-aided Emitter Localization and Trajectory Design Using Doppler and TOA Measurements
In this paper, a single Unmanned-Aerial-Vehicle (UAV)-aided localization algorithm which uses both Doppler and Time of Arrival (ToA) measurements is presented. In contrast to Doppler-based localization algorithms which are based on non-convex functions, exploiting ToA measurements in a Least-Square (LS) Doppler-based cost function, leads to a quadratic convex function whose minimizer lies on a line. Utilizing the ToA measurements in addition to the linear equation of minimizer, a closed form so…

J-VAR: the northern variable sky in 7 filters -- First Data Release
A. Ederoclite, H. V\'azquez Rami\'o, A. Alvarez-Candal, B. B. Siffert, V. M. Placco, D. Morate, S. Pyrzas, C. L\'opez-Sanjuan, M. Mahlke, S. Kulkarni, L. Espinosa, M. J. Castro, B. Zacarias, M. Akhlaghi, J. Castillo, T. Civera, J. Hern\'andez-Fuertes, A. Hern\'an-Caballero, A. L\'opez-Sainz, G. Lorenzetti, D. Muniesa-Gallardo, A. Moreno-Signes, H. Vives-Arias, J. Zaragoza Cardiel, M. C. D\'i…

J-VAR: the northern variable sky in 7 filters -- First Data Release
Aims. The analysis of variability of astronomical sources is of extraordinary interest, as it allows the study of astrophysical phenomena in real time. This paper presents the Javalambre Variability Survey (J-VAR) which leverages the narrow band filters available at the Javalambre Auxiliary Survey Telescope (JAST80) at the Observatorio Astrofísico de Javalambre (OAJ). Methods. The JAST80 equipped with T80Cam, providing a field of view of 2\,square degrees and a pixel scale of 0.55\,arcsec/pi…

Boundary Renormalization Group Flow of Entanglement Entropy at a (2 1)-Dimensional Quantum Critical Point
Zhiyan Wang, Zhe Wang, Yi-Ming Ding, Zenan Liu, Zheng Yan, Long Zhang
https://arxiv.org/abs/2509.02044

Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
We investigate the second order Rényi entanglement entropy at the quantum critical point of spin-1/2 antiferromagnetic Heisenberg model on a columnar dimerized square lattice. The universal constant $γ$ in the area-law scaling $S_{2}(\ell) = α\ell - γ$ is found to be sensitive to the entangling surface configurations, with $γ_{\text{sp}} > 0$ for strong-bond-cut (special) surfaces and $γ_{\text{ord}} < 0$ for weak-bond-cut (ordinary) surfaces, which is attributed to the distinct conformal…

Mal Final Fantasy XIV testen.
Oh, ich kann im Launcher kein Square-Enix-Konto registrieren. Ich kann partout nicht die Nutzungsbedingungen akzeptieren. Also registriere ich mich eben im Browser.
"Einfügen" im Passwort-Feld deaktiviert? Ernsthaft? Und dann funktionieren nicht mal "Force Paster" oder "Don't fuck with paste" … großartig. Immerhin kann ich im Inspector dann die dazugehörigen Events abschalten. Aber schon sehr lästig. Square Enix, man…

Headed to LA on the Coast Starlight - I’m going to actually not work on Labor Day weekend!
#Amtrak #CaliforniaZephyr #Tågskryt

OTMol: Robust Molecular Structure Comparison via Optimal Transport
Xiaoqi Wei, Xuhang Dai, Yaqi Wu, Yanxiang Zhao, Yingkai Zhang, Zixuan Cang
https://arxiv.org/abs/2509.01550 ht…

OTMol: Robust Molecular Structure Comparison via Optimal Transport
Root-mean-square deviation (RMSD) is widely used to assess structural similarity in systems ranging from flexible ligand conformers to complex molecular cluster configurations. Despite its wide utility, RMSD calculation is often challenged by inconsistent atom ordering, indistinguishable configurations in molecular clusters, and potential chirality inversion during alignment. These issues highlight the necessity of accurate atom-to-atom correspondence as a prerequisite for meaningful alignment.…

Over the weekend I came close to joining these two sections of where I've ridden my bike! The square on the bottom is where the bike shop is where I got my new bike a month ago. Might be a project for next weekend.
#biking #bikeTooter

Orbital Stability of First Laplacian Eigenstates for the Euler Equation on Flat 2-Tori
Guodong Wang
https://arxiv.org/abs/2509.00750 https://arxiv.org/pdf/…

Orbital Stability of First Laplacian Eigenstates for the Euler Equation on Flat 2-Tori
On a two-dimensional flat torus, the Laplacian eigenfunctions can be expressed explicitly in terms of sinusoidal functions. For a rectangular or square torus, it is known that every first eigenstate is orbitally stable up to translation under the Euler dynamics. In this paper, we extend this result to flat tori of arbitrary shape. As a consequence, we obtain for the first time a family of orbitally stable sinusoidal Euler flows on a hexagonal torus. The proof is carried out within the framework…

Sitting in Harvard Square at the Asian Night Market and there’s two little boys dancing to the DJ surrounded by a crowd screaming for them like they’re superstars.
All I can think is their parents are thinking “Oh thank god, they’re gonna SLEEP tonight!” 😂

Latin squares with three disjoint subsquares of the same order
Tara Kemp, James G. Lefevre
https://arxiv.org/abs/2510.00364 https://arxiv.org/pdf/2510.0036…

Latin squares with three disjoint subsquares of the same order
Given an integer partition $P = (h_1h_2\dots h_k)$ of $n$, a realization of $P$ is a latin square with disjoint subsquares of orders $h_1,h_2,\dots,h_k$. Most known results restrict either $k$ or the number of different integers in $P$. There is little known for partitions with arbitrary $k$ and subsquares of at least three orders. It has been conjectured that if $h_1=h_2=h_3\geq h_4\geq\dots\geq h_k$ then a realization of $P$ always exists. We prove this conjecture, and thus show the existence…

Noise Reduction Method for Radio Astronomy Single Station Observation Based on Wavelet Transform and Mathematical Morphology
Ming-wei Qin, Rui Tang, Ying-hui Zhou, Chang-jun Lan, Wen-hao Fu, Huan Wang, Bao-lin Hou, Zamri, Jin-song Ping, Wen-jun Yang, Liang Dong
https://arxiv.org/abs/2508.00386

Noise Reduction Method for Radio Astronomy Single Station Observation Based on Wavelet Transform and Mathematical Morphology
The 21 cm radiation of neutral hydrogen provides crucial information for studying the early universe and its evolution. To advance this research, countries have made significant investments in constructing large low-frequency radio telescope arrays, such as the Low Frequency Array (LOFAR) and the Square Kilometre Array Phase 1 Low Frequency (SKA1-low). These instruments are pivotal for radio astronomy research. However, challenges such as ionospheric plasma interference, ambient radio noise, an…

"Notice: This car park will be locked at 7pm Mon-Sat."
You get there at 8pm on Sunday and the gates are open, so you decide your interpretation of the rules is "Of course it'll stay open since there's that big concert in Custom House Square, and there's loads of cars here already."
Huge thanks to the guys who helped me squeeze the G31 through an improbably small gap to get out of the locked car park tonight!
Also, Belfast City Council, do bet…

Bessmertny\u{i} realizations of symmetric multivariate rational matrix functions over any field
Jason Elsinger, Ian Orzel, Aaron Welters
https://arxiv.org/abs/2509.00553 https:/…

Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field
In this paper, we prove the following. First, every square matrix whose entries are multivariable rational functions over a field $\mathbb{F}$ has a Bessmertnyĭ realization, i.e., is the Schur complement of an affine linear square matrix pencil with coefficients in $\mathbb{F}$. Second, if the matrix is also symmetric and the characteristic of the field $\mathbb{F}$ is not two then it has a symmetric Bessmertnyĭ realization (i.e., the pencil can be chosen to consist of symmetric matrices) and…

Mott Glass and Criticality in a S=1/2 Bilayer Heisenberg Model with Interlayer Bond Dilution
Kunpeng Li, Han-Qing Wu, Dao-Xin Yao
https://arxiv.org/abs/2509.03604 https://

Mott Glass and Criticality in a S=1/2 Bilayer Heisenberg Model with Interlayer Bond Dilution
We employ the stochastic series expansion quantum Monte Carlo (SSE-QMC) method to investigate the $S = 1/2$ antiferromagnetic Heisenberg model on a bilayer square lattice with diluted interlayer couplings. Both regular and random dilution patterns are considered. In systems with regular dilution, tuning the interlayer interaction drives a quantum phase transition from a Néel-ordered phase to a quantum disordered phase, consistent with the $O(3)$ universality class. In contrast, random dilution…

Went to #Siena for sight seeing, stayed for the marvelous #HugoPratt exhibition. #Tuscany #Comics

Linear independence of time-frequency translates for ultimately positive functions
Romanos Diogenes Malikiosis, Nikos Poursalidis
https://arxiv.org/abs/2509.04281 https://

Linear independence of time-frequency translates for ultimately positive functions
We prove that the HRT conjecture holds when the Gabor system consists of a 4-point set in the time-frequency plane and a square-integrable function that is ultimately positive. We also prove the conjecture for Gabor systems generated by an ultimately positive function and translation sets, whose frequencies satisfy at most one linear dependence over $\mathbb{Z}$, improving a result of Benedetto and Bourouihiya.

Square-Domain Area-Preserving Parameterization for Genus-Zero and Genus-One Closed Surfaces
Shu-Yung Liu, Mei-Heng Yueh
https://arxiv.org/abs/2509.22269 https://

Square-Domain Area-Preserving Parameterization for Genus-Zero and Genus-One Closed Surfaces
The parameterization of closed surfaces typically requires either multiple charts or a non-planar domain to achieve a seamless global mapping. In this paper, we propose a numerical framework for the seamless parameterization of genus-zero and genus-one closed simplicial surfaces onto a unit square domain. The process begins by slicing the surface with either the shortest-path or the Reeb graph method. The sliced surface is then mapped onto the unit square using a globally convergent algorithm t…

urban_streets: Urban street networks (2017)
20 urban street networks, corresponding to 1-square-mile maps of 20 cities around the world.
This network has 541 nodes and 773 edges.
Tags: Transportation, Roads, Unweighted, Metadata
https://networks.skewed.de/net/urban_str…

Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware
Gy\"orgy P. Geh\'er, David Byfield, Archibald Ruban
https://arxiv.org/abs/2507.19430

Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware
In this paper we construct a new family of quantum low-density parity-check (qLDPC) codes, which we call ``Directional Codes'', that outperforms the rotated planar code (RPC) while naturally meeting the connectivity requirements of the widely adopted square-grid, and some even the sparser hexagonal-grid. The key idea is to utilise the iSWAP gate -- a natural native gate for superconducting qubits -- to construct circuits that measure the stabilisers of these qLDPC codes without the need for any…

It continues. STM32H750 flash wait state table.
You know left square brackets are a thing right?
#datasheetgore

Zelensky: Ukraine has retaken 330 square kilometers in the Pokrovsk sector amid the ongoing counteroffensive: https://benborges.xyz/2025/09/20/zelensky-ukraine-has-retaken-square.html

Nanoscale Dipolar Fields in Artificial Spin Ice Probed by Scanning NV Magnetometry
Ephraim Spindler, Vinayak Shantaram Bhat, Elke Neu, Mathias Weiler, M. Benjamin Jungfleisch
https://arxiv.org/abs/2509.02233

Nanoscale Dipolar Fields in Artificial Spin Ice Probed by Scanning NV Magnetometry
We investigate dipolar coupling fields in two square-lattice artificial spin ice (ASI) systems with different lattice constants using scanning probe microscopy based on a single nitrogen-vacancy (NV) center in diamond. This technique offers unprecedented spatial resolution, operates under ambient condition, and provides quantitative stray field measurements, making it uniquely suited for studying nanoscale magnetic textures. Our approach combines fluorescence quenching imaging and continuous-wa…

Trump’s upcoming ballroom will be bigger than the White House.
Recent renderings obtained by CBS News show that the ballroom
—which Trump has been obsessing over for some time now
—shows a gaudy, gold-tinged, 90,000-square foot building that looks like it came straight from the Gilded Age.
The White House is only 50,000 square feet.

Renderings of Trump’s White House Ballroom Show Just How Insane It Is
Architectural plans reveal Trump’s ballroom will dwarf the entire White House.

I haven't been able to get a positive ID on the "sloppy daisies" that grow in Shindagin Hollow State forest but species that look similar are found in Mexico, Hawaii and other places -- these often have missing or irregularly shaped petals
#photo #photography

Melting of colloidal crystal in a two-dimensional periodic substrate: Switch from a single crossover to two-stage melting
Akhilesh M P, Toby Joseph
https://arxiv.org/abs/2510.00659

Melting of colloidal crystal in a two-dimensional periodic substrate: Switch from a single crossover to two-stage melting
The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are comparable, the incommensurate nature of square and triangular ordering leads to the formation of a partially pinned solid with only one of the smallest {\bf G} vectors of the substrate present. This low-temperature phase has true long-range order. By varyin…

Falling stars: a fall-decorated rational shuffle theorem
Alessandro Iraci, Roberto Pagaria, Giovanni Paolini
https://arxiv.org/abs/2508.20935 https://arxiv…

Falling stars: a fall-decorated rational shuffle theorem
In this paper, we formulate a rational analog of the fall Delta theorem and the Delta square conjecture. We find a new dinv statistic on fall-decorated paths on a $(m+k) \times (n+k)$ rectangle that simultaneously extends the previously known dinv statistics on decorated square objects and non-decorated rectangular objects. We prove a symmetric function formula for the $q,t$-generating function of fall-decorated rectangular Dyck paths as a skewing operator applied to $e_{m,n+km}$ and, condi…

Kcmil has to be one of the most cursed units for area.
If you're not familiar with North American wire sizes, heavy gauge wire like power lines are often sized in kcmil (sometimes abbreviated MCM because M = roman numeral 1000, not SI "mega").
As in kilo circular mils, where a circular mil is the area of an 0.001 inch diameter circle.
Not even *square* mils. Circular mils. Because irrational units and conversion factors for area are the best

Quantum Spin Hall effect on planar Archimedean lattices
L. V. Duc Pham, Nicki F. Hinsche, Ingrid Mertig
https://arxiv.org/abs/2509.01465 https://arxiv.org/…

Quantum Spin Hall effect on planar Archimedean lattices
Archimedean lattices constitute a unique family of two-dimensional tilings formed from regular polygons arranged with uniform vertex configurations. While the kagome lattice has been extensively studied and the snub square lattice has served as a quasicrystal approximant, the broader family remains comparatively unexplored in the context of electronic and topological properties. In this work, we present a systematic tight-binding study of all eight pure Archimedean lattices, incorporating both …

Quantum Criticality by Interaction Frustration in a Square-Planar Lattice
Yi-Qiang Lin, Chang-Chao Liu, Jia-Xin Li, Bai-Jiang Lv, Kai-Xin Ye, Jia-Wen Zhang, Si-Qi Wu, Ya-Nan Zhang, Ye Chen, Jia-Yi Lu, Jing Li, Hua-Xun Li, Hao Li, Yi Liu, Cao Wang, Yun-Lei Sun, Hao Jiang, Hui-Qiu Yuan, Guang-Han Cao
https://arxiv.org/abs/2507.22362

Quantum Criticality by Interaction Frustration in a Square-Planar Lattice
We report experimental and theoretical investigations on ThCr$_2$Ge$_2$C, a metallic compound in which Cr$_2$C planes form a square-planar lattice. Neutron powder diffraction, magnetization, and specific heat measurements reveal no evidence of long-range magnetic order or short-range spin freezing down to 70~mK. Quantum critical behavior was indicated through logarithmic divergences in both the magnetic susceptibility and the specific heat divided by temperature. Resistivity measurements exhibi…

A former employee with Voice of America is accused of threatening to harm U.S. Rep. Marjorie Taylor Greene, R-Ga., her staff and her family, the Department of Justice said Thursday
https://www.newsbreak.com/the-center-squar

Justice Department accuses man of threatening Greene - NewsBreak
(The Center Square) – A former employee with Voice of America is accused of threatening to harm U.S. Rep. Marjorie Taylor Greene, R-Ga., her staff and her

Group Actions and Some Combinatorics on Words with $\mathbf{vtm}$
John Machacek
https://arxiv.org/abs/2509.26613 https://arxiv.org/pdf/2509.26613

Group Actions and Some Combinatorics on Words with $\mathbf{vtm}$
We introduce generalizations of powers and factor complexity via orbits of group actions. These generalizations include concepts like abelian powers and abelian complexity. It is shown that this notion of factor complexity cannot be used to recognize Sturmian words in general. Within our framework, we establish square avoidance results for the ternary squarefree Thue--Morse word $\mathbf{vtm}$. These results go beyond the usual squarefreeness of $\mathbf{vtm}$ and are proved using Walnut. Lastl…

Next step in the PIC12F683 project, a partial decap.
Tried some new techniques that worked great, but let a bit of acid on the back that caused minor corrosion on the die attach paddle. I know how to prevent it next time though.

urban_streets: Urban street networks (2017)
20 urban street networks, corresponding to 1-square-mile maps of 20 cities around the world.
This network has 169 nodes and 197 edges.
Tags: Transportation, Roads, Unweighted, Metadata
https://networks.skewed.de/net/urban_s

On $P$-crucial square-free permutations
Alexandr Valyuzhenich
https://arxiv.org/abs/2508.06907 https://arxiv.org/pdf/2508.06907

On $P$-crucial square-free permutations
A permutation is square-free if it does not contain two consecutive factors of length two or more that are order-isomorphic. A square-free permutation of length $n$ is $P$-crucial, where $P$ is a subset of $\{0,1,\ldots,n\}$, if any of its extensions in any position from the set $P$ contains a square. In 2015, Gent, Kitaev, Konovalov, Linton and Nightingale initiated the study of $P$-crucial square-free permutations. In particular, they showed that $\{0,1,n-1,n\}$-crucial square-free permutatio…

Strong-coupling functional renormalization group: Nagaoka ferromagnetism and non-Fermi liquid physics in the Hubbard model at $ U = \infty $
Jonas Arnold, Peter Kopietz, Andreas R\"uckriegel
https://arxiv.org/abs/2510.01909

Strong-coupling functional renormalization group: Nagaoka ferromagnetism and non-Fermi liquid physics in the Hubbard model at $ U = \infty $
We develop an extension of the fermionic functional renormalization group for systems where strong correlations give rise to projected Hilbert spaces. We use our method to calculate the phase diagram and the electronic spectral function of the Hubbard model at infinite on-site repulsion where many-body states involving doubly occupied lattice sites are eliminated from the physical Hilbert space. For a square lattice with nearest-neighbor hopping we find that the ground state evolves from a para…

On the DP-chromatic Number of Cartesian Products of Critical Graphs
Hemanshu Kaul, Jeffrey A. Mudrock, Gunjan Sharma
https://arxiv.org/abs/2507.21421 https://

On the DP-chromatic Number of Cartesian Products of Critical Graphs
DP-coloring (also called correspondence coloring) is a well-studied generalization of list coloring introduced by Dvořák and Postle in 2015. The following sharp bound on the DP-chromatic number of the Cartesian product of graphs $G$ and $H$ is known: $χ_{DP}(G \square H) \leq \text{min}\{χ_{DP}(G) + \text{col}(H), χ_{DP}(H) + \text{col}(G) \} - 1$ where $χ_{DP}(G)$ is the DP-chromatic number of $G$ and $\text{col}(H)$ is the coloring number of $H$. We seek to understand when $χ_{DP}(G \s…