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A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
Kahori Komak, Ryohei Miyadera, Aoi Murakami
https://arxiv.org/abs/2510.11767 https://

A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
In this paper, we study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from one or both piles. When removing stones from both piles, an equal number must be removed from each. The player who removes the last stone or stones is the winner. Equivalently, we consider a single chess queen placed somewhere on a large grid of squares. Each player can move the queen toward the upper-left corner of the…

Generalized Symmetries and Deformations of Symmetric Product Orbifolds
Nathan Benjamin, Suzanne Bintanja, Yu-Jui Chen, Michael Gutperle, Conghuan Luo, Dikshant Rathore
https://arxiv.org/abs/2509.12180 …

Generalized Symmetries and Deformations of Symmetric Product Orbifolds
We construct generalized symmetries in two-dimensional symmetric product orbifold CFTs $\text{Sym}^N(\mathcal{T}),$ for a generic seed CFT $\mathcal{T}$. These symmetries are more general than the universal and maximally symmetric ones previously constructed. We show that, up to one fine-tuned example when the number of copies $N$ equals four, the only symmetries that can be preserved under twisted sector marginal deformations are invertible and maximally symmetric. The results are obtained in …

Surface Topological Quantum Criticality II: Conformal manifolds, Isolated fixed points and Entanglement
Saran Vijayan, Fei Zhou
https://arxiv.org/abs/2509.09825 https://

Surface Topological Quantum Criticality II: Conformal manifolds, Isolated fixed points and Entanglement
In this article, we propose the realization of conformal manifolds, which are smooth manifolds of scale-conformal invariant interacting Hamiltonians in two-dimensional quantum many-body systems. Such phenomena can occur in various interacting systems, including topological surfaces or 2D bulks. Building on previous observations, we demonstrate that a conformal manifold can emerge as an exact solution when the number of fermion colors, \(N_c\), becomes infinite. We identify distinct exact margin…

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Collaboration, Blot, Tanidis, Ca\~nas-Herrera, Carrilho, Bonici, Camera, Cardone, Casas, Davini, Di Domizio, Farrens, Goh, Beauchamps, Ili\'c, Joudaki, Keil, Le Brun, Martinelli, Moretti, Pettorino, Pezzotta, Sakr, S\'anchez, Sciotti, Tutusaus, Ajani, Crocce, Fumagalli, Giocoli, Legrand, Lembo, Lesci, Girones, Nouri-Zonoz, Pamuk, Pourtsid…

Euclid preparation. Cosmology Likelihood for Observables in Euclid (CLOE). 6: Impact of systematic uncertainties on the cosmological analysis
Extracting cosmological information from the Euclid galaxy survey will require modelling numerous systematic effects during the inference process. This implies varying a large number of nuisance parameters, which have to be marginalised over before reporting the constraints on the cosmological parameters. This is a delicate process, especially with such a large parameter space, which could result in biased cosmological results. In this work, we study the impact of different choices for modellin…

#NPR reports of #Drumpf admin operatives leaving 8 pages of sensitive internal eyes only 👀 #Putin feting itinerary notes behind in #Alaska hotel sparks ridi…

Identifying treatment effects on categorical outcomes in IV models
Onil Boussim
https://arxiv.org/abs/2510.10946 https://arxiv.org/pdf/2510.10946

Identifying treatment effects on categorical outcomes in IV models
This paper provides a nonparametric framework for causal inference with categorical outcomes under binary treatment and binary instrument settings. We decompose the observed joint probability of outcomes and treatment into marginal probabilities of potential outcomes and treatment, and association parameters that capture selection bias due to unobserved heterogeneity. Under a novel identifying assumption, association similarity, which requires the dependence between unobserved factors and poten…

Coverage correlation: detecting singular dependencies between random variables
Xuzhi Yang, Mona Azadkia, Tengyao Wang
https://arxiv.org/abs/2508.06402 https://

Coverage correlation: detecting singular dependencies between random variables
We introduce the coverage correlation coefficient, a novel nonparametric measure of statistical association designed to quantifies the extent to which two random variables have a joint distribution concentrated on a singular subset with respect to the product of the marginals. Our correlation statistic consistently estimates an $f$-divergence between the joint distribution and the product of the marginals, which is 0 if and only if the variables are independent and 1 if and only if the copula i…

Testing the Role of Merging Binaries in the Formation of the Split Main Sequence in Young Clusters
Nate Bastian, Sebastian Kamann, Florian Niederhofer, Sara Saracino
https://arxiv.org/abs/2509.07708

Testing the Role of Merging Binaries in the Formation of the Split Main Sequence in Young Clusters
A number of theories have been put forward to explain the bi-modal stellar rotational distribution observed in young massive clusters. These include stellar mergers and interactions induced in binary systems, and the role of angular momentum transfer between a star and its circumstellar disk in its early evolution. Each theory predicts unique rotation distributions in various locations of the colour-magnitude diagram. Specifically, the stellar merger hypothesis posits that the upper end of the …

Rethinking Layer-wise Model Merging through Chain of Merges
Pietro Buzzega, Riccardo Salami, Angelo Porrello, Simone Calderara
https://arxiv.org/abs/2508.21421 https://

Rethinking Layer-wise Model Merging through Chain of Merges
Fine-tuning pretrained models has become a standard pathway to achieve state-of-the-art performance across a wide range of domains, leading to a proliferation of task-specific model variants. As the number of such specialized modules in-creases, merging them into a unified model without retraining has become a critical challenge. Existing merging techniques often rely on interference heuristics,importance weighting, or activation matching while treating each layer independently, thereby failing…

The gonality of circulant graphs
Lisa Cenek, Lizzie Ferguson, Eyobel Gebre, Cassandra Marcussen, Jason Meintjes, Ralph Morrison, Liz Ostermeyer, Shefali Ramakrishna
https://arxiv.org/abs/2508.05761

The gonality of circulant graphs
The gonality of a graph measures how difficult it is to move chips around the entirety of a graph according to certain chip-firing rules without introducing debt. In this paper we study the gonality of circulant graphs, a class of vertex-transitive graphs that can be specified by their number of vertices together with a list of cyclic adjacency relations satisfied by all vertices. We provide a universal upper bound on the gonality of all circulant graphs with a fixed adjacency list, which holds…