Tootfinder

Sliced Space-filling Design with Mixtures
Zikang Xiong, Hong Qin, Yuning Huang, Jianhui Ning
https://arxiv.org/abs/2509.21827 https://arxiv.org/pdf/2509.21…

Sliced Space-filling Design with Mixtures
In this paper, we proposes the construction methods of sliced space-filling design when the quantitative factors are mixture components. Leveraging the representative points framework for distribution and energy distance decomposition theory, this paper proposes three methods for constructing sliced representative points and establishes their distributional convergence. Furthermore, one-shot and sequential algorithms for generating sliced space-filling mixture design for experiments with proces…

Oklahoma instructor removed from teaching for failing a screed of an essay
https://apnews.com/article/oklahoma-bible-essay-instructor-fulneckydei-f37ba4b8afdc9d9aba3b73b124f13b9b

The University of Oklahoma fires instructor who gave failing grade to Bible-based gender essay
The University of Oklahoma has fired an instructor who was accused by a student of religious discrimination. The complaint from 20-year-old junior Samantha Fulnecky was over a failing grade on a psychology paper in which she cited the Bible and called promoting a belief in multiple genders “demonic.” The university said Monday that its investigation found that the graduate teaching assistant had been arbitrary in giving Fulnecky zero points on the assignment. The attorney for instructor Mel…

Decentralized Detection with Many Sensors: Optimality of Exchangeable and Identical Encoding Policies
Sina Sanjari, Naci Saldi, Sinan Gezici, Serdar Y\"uksel
https://arxiv.org/abs/2509.21724

Decentralized Detection with Many Sensors: Optimality of Exchangeable and Identical Encoding Policies
We study a class of binary detection problems involving a single fusion center and a large or countably infinite number of sensors. Each sensor acts under a decentralized information structure, accessing only a local noisy observation related to the hypothesis. Based on this observation, sensors select policies to transmit a quantized signal through their actions to the fusion center, which makes the final decision using only these actions. This paper makes the following contributions: i) In th…

Cocycle stability in permutations of random simplicial complexes
Michael Chapman, Yuval Peled
https://arxiv.org/abs/2509.21566 https://arxiv.org/pdf/2509.2…

Cocycle stability in permutations of random simplicial complexes
The cocycle stability rate of a simplicial complex measures how far cochains with small coboundaries are from actual cocycles. In this paper, we study the 1-dimensional cocycle stability rate with permutation coefficients of random 2-dimensional Linial--Meshulam complexes. Our main contribution is the following: If, in the middle traingle density range, these random complexes asymptotically almost surely have a linear cocycle stability rate, then there exists a non-sofic hyperbolic group. As no…

Almost paracontact metric 3-dimensional Walker manifolds
Galia Nakova, Cornelia-Livia Bejan
https://arxiv.org/abs/2509.21809 https://arxiv.org/pdf/2509.218…

Almost paracontact metric 3-dimensional Walker manifolds
In this paper we construct and study almost paracontact metric structures $(φ,ξ,η,g)$ on a 3-dimensional Walker manifold $(M,g)$ with respect to a local basis only by the coordinate functions of a unit space-like vector field $ξ$, globally defined on $M$ and a function $f$ on $M$, characterizing the Lorentzian metric $g$. Necessary and sufficient conditions are obtained for $M$, endowed with these structures, to fall in one of the following classes of 3-dimensional almost paracontact metric…

The moving patch model with fractional diffusion
Sebasti\'an Flores-Sep\'ulveda, Gabrielle Nornberg, Alexander Quaas
https://arxiv.org/abs/2509.22234 https://

The moving patch model with fractional diffusion
In this paper we study the following one-dimensional reaction-diffusion problem $$ u_t+(-Δ)^s u=f(x-c t, u) \;\:\textrm{ in } \mathbb{R}\times (0,+\infty), $$ where $s>\frac{1}{2}$, $c \in \mathbb{R}$ is a prescribed velocity, and $f$ is of KPP type, which describes the evolution of a population in an advective environment subjected to nonlocal diffusion. We suppose the environment is such that it is only advantageous in a bounded ``patch", outside of which the species dies at an asymptoticall…

Distinct dimensions for attractors of bi-Lipschitz iterated function systems
Simon Baker, Amlan Banaji, De-Jun Feng, Chun-Kit Lai, Ying Xiong
https://arxiv.org/abs/2509.22084 ht…

Distinct dimensions for attractors of bi-Lipschitz iterated function systems
In this paper, we construct an iterated function system on the line consisting of two bi-Lipschitz contractions whose attractor has distinct lower, Hausdorff, lower box, upper box, and Assouad dimensions, thereby providing negative answers to certain folklore questions. Furthermore, as a by-product of our study of bi-Lipschitz IFSs, we construct IFSs within this family that exhibit interesting fractal behaviour. In particular, we prove the following two statements: (i) There exists a bi-Lipsc…

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Det är nu över 10 år sedan dietboksförfattare och influensers påstod att de visste hur man fixade tarmfloran och med det en rad olika hälsoproblem.
Och än idag har vi i princip ingenting konkret från vetenskapen kring tarmfloran och behandling av olika besvär utanför just tarmproblem.
The Autism-Microbiome Hypothesis Is Falling Apart

The Autism-Microbiome Hypothesis Is Falling Apart
Why this new review paper should be required reading for every microbiome researcher

"The skyscraper, the apotheosis of form following finance and function"
—Jenny Diski, LRB
https://www.lrb.co.uk/the-paper/v36/n15/jenny-diski/post-its-push-pins-pencils

Jenny Diski · Post-its, push pins, pencils: In the Stationery Cupboard
The secret beating heart of the dream office is the stationery cupboard, the ideal kind, the one that opens to enough...