Tootfinder

Universal codimension two cycle on a very general cubic threefold
Kalyan Banerjee
https://arxiv.org/abs/2509.06013 https://arxiv.org/pdf/2509.06013

Universal codimension two cycle on a very general cubic threefold
In this paper, we prove that a very general cubic threefold does not admit a universal codimension-two cycle and hence is stably irrational.

I jest, but I do think that irrational persuasion / disarming people’s good sense / con artistry / scamming is a real skillset that some rare people have in spades — a genuine if horrifying form of intelligence — and we dismiss the otherwise nincompoopish people who have it our own peril.

Fine letter from Kate Macintosh on UK Labour Party's irrational retention of the Right to Buy council housing. https://www.theguardian.com/society/2025/nov/06/why-labour-lacks-credibility-when-it-comes-to-housing

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Periodic symplectic and Hamiltonian diffeomorphisms on irrational ruled surfaces
Nicholas Lindsay, Weiyi Zhang

Satire is dead.
https://www.spiegel.de/panorama/halloween-verband-der-exorzisten-kritisiert-fest-als-konsumorientiert-und-irrational-a-098ac7a8-6a51-4cc0-b48f-b72f51946688

Die Bundes-CDU scheint sich immer mehr zur AfD zu treiben. Wer nicht voll auf der teils rassistischen Linie der Parteiführung ist, wird irrational angegriffen. Anstand und Sachverstand scheinen keine Rolle zu spielen, wenn die Konsequenzen daraus den Träumen des Bundeskanzlers widersprechen.
Der Machtkampf in der CDU ist übel. Demokratische Positionen, Positionen der Menschenrechte und des Anstands scheinen immer weniger Platz in der CDU zu bekommen.

Streit über Rückkehr von Flüchtlingen: Schlimmer als Deutschland 1945 – Wadephul empört Unionskollegen mit Syrien-Vergleich
Der Druck auf Außenminister Wadephul wächst: In der Unionsfraktion hat sich der CDU-Politiker gegen die heftige Kritik an seinen jüngsten Syrien-Äußerungen gewehrt. Doch manche sprechen bereits von Rücktritt.

Regular Structures in Kronecker Permutations
Fran\c{c}ois Cl\'ement
https://arxiv.org/abs/2509.03782 https://arxiv.org/pdf/2509.03782

Regular Structures in Kronecker Permutations
Kronecker sequences $(k α\mod 1)_{k=1}^{\infty}$ for some irrational $α> 0$ have played an important role in many areas of mathematics. It is possible to associate to each finite segment $(k α\mod 1)_{k=1}^{n}$ a permutation $π\in S_n$ associated with the canonical lifting to two dimensions. We show that these permutations induced by Kronecker sequences based on irrational $α$ are extremely regular for specific choices of $n$ and $α$. In particular, all quadratic irrationals have an infin…

Irrational eigenvalues of D-Dimensional Cellular automata
Nassima Ait Sadi, Rezki Chemlal
https://arxiv.org/abs/2509.00933 https://arxiv.org/pdf/2509.00933…

Irrational eigenvalues of D-Dimensional Cellular automata
Cellular automata are dynamical systems defined on lattices and commuting with the Bernoulli shift. In this work, we focus on the spectral properties of D-dimensional cellular automata. We give a characterization of their spectrum from both topological and ergodic point of view. The main results of the paper show the impossibility for a cellular automaton with a fully blocking pattern to have a measurable irrational eigenvalues. Further more, a cellular automaton with a set of equicontinuity po…

Genau mein Humor:
"Verband der Exorzisten kritisiert Halloween als irrationales Fest"
https://www.spiegel.de/panorama/halloween-verband-der-exorzisten-kritisiert-fest-a…

Cowboys Micah Parsons Trade Torched as ‘Irrational,’ ‘Disaster’ https://heavy.com/sports/nfl/dallas-cowboys/micah-parsons-trade-irrational-disaster/?adt_ei=[email]

Distinct Distances on Pfaffian Curves
Abhiram Natarajan, Adam Sheffer
https://arxiv.org/abs/2510.04337 https://arxiv.org/pdf/2510.04337

Distinct Distances on Pfaffian Curves
We generalize Pach and de Zeeuw's bound for distinct distances between points on two curves, from algebraic curves to Pfaffian curves. Pfaffian curves include those that can be defined by any combination of elementary functions, including exponential and logarithmic functions, rational and irrational powers, trigonometric functions and their inverses, integration, and more. The bound remains $Ω(\min\{m^{3/4}n^{3/4},m^2,n^2\})$, as obtained from the proximity technique of Solymosi and Zahl.

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

Well-posedness for the periodic Hyperbolic nonlinear Schr\"odinger equations
Engin Ba\c{s}ako\u{g}lu, Yuzhao Wang
https://arxiv.org/abs/2510.03211 https://

Well-posedness for the periodic Hyperbolic nonlinear Schrödinger equations
We establish local well-posedness for the hyperbolic nonlinear Schrodinger equation (HNLS) in the critical spaces. Following the approach of Killip and Visan, we derive scale-invariant Strichartz estimates for HNLS on both rational and irrational tori, thereby removing the epsilon-loss of derivative present in the hyperbolic Strichartz estimates of Bourgain and Demeter.

Addiction (Speculatve)
Kind of a fucked-up metaphor, but I was thinking yesterday that parenting is a lot like addiction. If you separate me from my child, I'll take completely irrational and desperate actions to get them back, driven by a deep instinct that goes well beyond "love." I'll also make self-disadvantageous long-term decisions like forgoing sleep, working an extra job, or quitting a job to do some combination of providing for and/or being present with my child.
Even in parenting situations where love is absent, and beyond, I think, the possessiveness that sometimes festers in those situations, there's often (although not always) a craving for simple presence of the child.
In a healthy relationship, there's a whole lot more than this, but it's interesting to me that the same obsessive craving and absolute priority that we think of as diseased and/or monstrous in someone addicted to a hard drug can be healthy in the right context (that is, when it doesn't contribute to abusive or twisted parental relationships but instead exists alongside a healthy amount of love and respect).
Makes me wonder if there are ways to have a truly healthy drug addiction, although I recognize the answer might well be "no" and that even if it's "technically/theoretically yes" it might still be harmful to hype up or even merely discuss that possibility since it might help addicted people in harmful addictions more easily justify inaction. At minimum I think any "yes" answer here involves assuming utopian-level differences from our current society.
#Parenting #Addiction

Meituan reports Q2 revenue up 11.7% YoY to ~$12.8B and net income down 97% YoY to ~$51M, blaming "irrational competition" in the Chinese food delivery market (Bloomberg)
https://www.bloomberg.com/news/articles/2025-08-…

On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
Yann Bugeaud, Dong Han Kim
https://arxiv.org/abs/2510.02059 https://ar…

On the $b$-ary expansion of a real number whose irrationality exponent is close to 2
Let $b \ge 2$ be an integer and $ξ$ an irrational real number. We establishes that, if the irrationality exponent of $ξ$ is less than $2.324 \ldots$, then the $b$-ary expansion of $ξ$ cannot be `too simple', in a suitable sense. This improves the results of our previous paper [Ann. Sc. Norm. Super. Pisa Cl. Sci., 2017].

Diffeology and Arithmetic of Irrational Tori
Patrick Iglesias-Zemmour
https://arxiv.org/abs/2508.07460 https://arxiv.org/pdf/2508.07460

Diffeology and Arithmetic of Irrational Tori
The irrational torus, $\mathrm{T}_α$, originally introduced as a geometric model for quasicrystals, is a foundational object in the theory of diffeology. This paper, after recalling its main algebraic properties, provides a comprehensive analysis of a new geometric invariant for this singular space: the group of flows, $\mathbf{Fl}(\mathrm{T}_α, \mathbf{R})$. This invariant, which is trivial for all manifolds, arises as the core of the obstruction to the de Rham theorem in the diffeological s…

Signs of Struggle: Spotting Cognitive Distortions across Language and Register
Abhishek Kuber, Enrico Liscio, Ruixuan Zhang, Caroline Figueroa, Pradeep K. Murukannaiah
https://arxiv.org/abs/2508.20771 …

Signs of Struggle: Spotting Cognitive Distortions across Language and Register
Rising mental health issues among youth have increased interest in automated approaches for detecting early signs of psychological distress in digital text. One key focus is the identification of cognitive distortions, irrational thought patterns that have a role in aggravating mental distress. Early detection of these distortions may enable timely, low-cost interventions. While prior work has focused on English clinical data, we present the first in-depth study of cross-lingual and cross-regis…

Then, quoting Nathan Tankus: the market is not a perfectly rational distillation of all available information, but rather ❝a “conventional wisdom processor.” That is, it reflects views that seem safe to hold because many other people hold them — and the crowd only abandons those views when they become blatantly unsustainable.❞
Fits with the old adage that the market can stay irrational a lot longer than you can stay solvent.
2/2
https://paulkrugman.substack.com/p/why-arent-markets-freaking-out

Distance between cubics and rationals
Dmitry Badziahin
https://arxiv.org/abs/2509.01105 https://arxiv.org/pdf/2509.01105

Distance between cubics and rationals
We investigate the following problem: what is the smallest possible distance between a cubic irrational $ξ$ and a rational number $p/q$ in terms of the height $H(ξ)$ and $q$? More precisely, we consider the set $D_{3,1}$ of all pairs $(u,v)$ of positive real numbers such that $|ξ- p/q| > cH^{-u}(ξ)q^{-v}$ for all cubic irrationals $ξ$ and rationals $p/q$. First, we transform this problem into one about the root separation of cubic polynomials. Second, we establish a conditional r…

The "omg-AI-is-nothing-but-evil-trash" crowd aren't just simple luddites any more: Many have become blind, irrational extremists.
AI saves me hours of research daily, relentlessly automates drudgerous workflows in the background, summarizes email/chats & optimizes formatting.
It's a lifesaver.

🎗️ Why people embrace conspiracy theories: It's about community, not gullibility
https://phys.org/news/2025-08-people-embrace-conspiracy-theories-community.html

Why people embrace conspiracy theories: It's about community, not gullibility
Psychologists have long considered how a tendency towards irrational thinking or particular personality traits might predict people's interest in conspiracies. Yet these individual factors do not explain the group processes through which conspiracy theorists are extending their influence and impact.

AI Product Value Assessment Model: An Interdisciplinary Integration Based on Information Theory, Economics, and Psychology
Yu yang
https://arxiv.org/abs/2508.16714 https://

AI Product Value Assessment Model: An Interdisciplinary Integration Based on Information Theory, Economics, and Psychology
In recent years, breakthroughs in artificial intelligence (AI) technology have triggered global industrial transformations, with applications permeating various fields such as finance, healthcare, education, and manufacturing. However, this rapid iteration is accompanied by irrational development, where enterprises blindly invest due to technology hype, often overlooking systematic value assessments. This paper develops a multi-dimensional evaluation model that integrates information theory's e…

In Defense of Jerry: How the Cowboys can win the Micah Parsons trade https://fansided.com/nfl/in-defense-of-jerry-how-the-cowboys-can-win-the-micah-parsons-trade

How Big Data Dilutes Cognitive Resources, Interferes with Rational Decision-making and Affects Wealth Distribution ?
Yongheng Hu
https://arxiv.org/abs/2508.20435 https://…

How Big Data Dilutes Cognitive Resources, Interferes with Rational Decision-making and Affects Wealth Distribution ?
Big data has exponentially dilated consumption demand and speed, but can they all convert to utility? We argue about the measures of consumption and utility acquisition in CARR utility function under the condition of big data interaction, we indicate its weakness, i.e., irrational consumption does not lead to the acquisition of utility. We consider that big data, which is different from macro and micro economic signals, formed by general information entropy, affects agents' rational cognition, …

#AliceInBorderland is crap, isn't it? After 2 episodes of irrational and bad acting I thought I'd stay for the "big riddle". Then season 2 doubles down on the incredibly obvious plot armour, infinite rifle ammo and lame acting. I'm out.
#Netflix

On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
Michael R. Powers
https://arxiv.org/abs/2510.00315 https://

On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
From a well-known equation of Hardy, one can derive a simple linear combination of the Euler-Mascheroni constant ($γ=0.577215\ldots$) and Euler-Gompertz constant ($δ=0.596347\ldots$): $γ+δ/e=\textrm{Ein}\left(1\right)$. Although neither $γ$ nor $δ$ is currently known to be irrational, this linear combination has been shown to be transcendental (by virtue of the fact that it appears as an algebraic point value of a particular E-function). Moreover, both pairs ($γ$,$δ$) and ($γ$,$δ/e$) …

Balanced Fibonacci word rectangles, and beyond
Jeffrey Shallit, Ingrid Vukusic
https://arxiv.org/abs/2509.25994 https://arxiv.org/pdf/2509.25994

Balanced Fibonacci word rectangles, and beyond
Following a recent paper of Anselmo et al., we consider $m \times n$ rectangular matrices formed from the Fibonacci word, and we show that their balance properties can be solved with a finite automaton. We also generalize the result to every Sturmian characteristic word corresponding to a quadratic irrational.

The influence of the maximal summand on ergodic sums of non-integrable observables over rotations
Adam Kanigowski, Tanja I. Schindler
https://arxiv.org/abs/2508.18216 https://…

The influence of the maximal summand on ergodic sums of non-integrable observables over rotations
For $R_α$ being an irrational rotation of angle $α$ on the one torus $\mathbb{T}$ and $ϕ(x)=\frac{1}{x}-\frac{1}{1-x}$, we compare the behavior of the Birkhoff sum $S_N(ϕ)=\sum_{k=0}^{N-1}(ϕ\circ R_α^k)(x)$ with the successive entry $(ϕ\circ R_α^N)(x)$. In particular, we are interested in the almost sure limsup behavior of $\frac{(ϕ\circ R_α^N)(x)}{S_N(ϕ)(x)}$. We show that depending on the Diophantine properties of $α$ we have that the limsup either equals $0$ or $\infty$. Moreover…

A modular version of the Brunn-Minkowski inequality and its applications
Yuchen Ding, Huixi Li, Zihan Zhang
https://arxiv.org/abs/2509.25025 https://arxiv.…

A modular version of the Brunn-Minkowski inequality and its applications
Let $α>1$ be an irrational number and $k\ge 2$ a positive integer. Let $f(x)$ be a polynomial with positive integer coefficients. Solving a 2001 problem of Sárközy on special sequences, Hegyvári proved in 2003 that there exists an infinite sequence $A$ with density $\frac{1}{k}-\frac{1}{kα}$ such that $$ \big\{f(a_1)+\ldots+f(a_k): a_i\in A, 1\le i\le k\big\}\cap \big\{\lfloor nα\rfloor: n\in \mathbb{N}\big\}=\emptyset. $$ Hegyvári also proved that the density given by him is optimal for…

Dividing a cake for the irrationally entitled
Florian Brandl, Andrew Mackenzie
https://arxiv.org/abs/2508.09004 https://arxiv.org/pdf/2508.09004

Dividing a cake for the irrationally entitled
A perfectly divisible cake is to be divided among a group of agents. Each agent is entitled to a share between zero and one, and these entitlements are compatible in that they sum to one. The mediator does not know the preferences of the agents, but can query the agents to make cuts and appraise slices in order to learn. We prove that if one of the entitlements is irrational, then the mediator must use a protocol that involves an arbitrarily large number of queries in order to construct an allo…

Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
Xiaoyan Tan, Zhenliang Zhang
https://arxiv.org/abs/2509.23059 https://

Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
Let $x \in [0,1)$ be an irrational number with continued fraction expansion $[a_1(x),a_2(x), \cdots,a_n(x),\cdots]$ and $q_n(x)$ be the denominator of its $n$-th convergent. We establish, for any $α,β$ in $[0,+\infty]$, the Hausdorff dimension formula of the intersections of the sets of Dirichlet non-improvable numbers and the level set of convergent exponent, i.e. $$ G(α,β): =\left\{x\in[0,1)\colon τ(x)=α,\,\,\text{and} \,\, \limsup_{n\to\infty}\frac{\log (a_n(x)a_{n+1}(x))}{\log q_n(x…

Diophantine approximation with sums of two squares II
Stephan Baier, Habibur Rahaman
https://arxiv.org/abs/2508.18044 https://arxiv.org/pdf/2508.18044

Diophantine approximation with sums of two squares II
Recently, we showed that for every irrational number $α$, there exist infinitely many positive integers $n$ represented by any given positive definite binary quadratic form $Q$, satisfying $||αn||0$. We also provided a quantitative version with a lower bound when the exponent $1/2-\varepsilon$ is replaced by weaker exponent $γ<3/7-\varepsilon$. In this article we recover this quantitative version wi…

A Weyl equidistribution theorem over function fields
Ethan Ackelsberg
https://arxiv.org/abs/2509.18789 https://arxiv.org/pdf/2509.18789

On roundness of rotation sets
Boris Perrot, Jan Boro\'nski, Alex Clark
https://arxiv.org/abs/2510.08235 https://arxiv.org/pdf/2510.08235

On roundness of rotation sets
Motivated by the question whether a round disk can be realized as the rotation set of a torus diffeomorphism, we study the roundness of rotation sets of a parametric family of torus diffeomorphisms $F_ρ$, where the parameter $ρ$ ranges over irrational numbers in $(0,1)$. Each $F_ρ$ is a Kwapisz-like diffeomorphism with a 2-dimensional non-polygonal rotation set $$Λ'_ρ= \operatorname{conv}\left(\left\{(\pm\frac{\lceil mρ\rceil}{m+n+1}, \pm\frac{\lceil nρ\rceil}{m+n+1}): m, n \in \mathbb…

Transcendency of variants of Mills' constant
Kota Saito
https://arxiv.org/abs/2508.16068 https://arxiv.org/pdf/2508.16068

Transcendency of variants of Mills' constant
Let $\lfloor x\rfloor$ denote the integer part of $x$. For every sequence $(C_k)_{k\ge 1}$ of positive integers, we define $ξ(C_k)$ as the smallest real number $ξ$ such that $\lfloor ξ^{C_k} \rfloor$ is a prime number for every positive integer $k$. The number $ξ(3^k)$ is called Mills' constant. Recently, the author showed that $ξ(3^k)$ is irrational, but the transcendency of this number is still open. In this paper, we give sufficient conditions on $(C_k)_{k\ge 1}$ to determine the transc…

Additive Problems with Primes from a Thin Bohr Set
Sarvagya Jain
https://arxiv.org/abs/2508.12139 https://arxiv.org/pdf/2508.12139

Additive Problems with Primes from a Thin Bohr Set
For an irrational $α\in \mathbb{R}$, we consider additive problems with the set of primes satisfying $\lVertαp\rVert\leq \frac{1}{p^τ}$ for some fixed $τ>0$. In particular, we show that there exist infinitely many non-trivial three-term arithmetic progressions in the set of primes satisfying $\lVert αp\rVert\leq \frac{1}{p^τ}$ for $τ\in(0, \tfrac18)$. We also consider a binary Goldbach-type problem.