Results 181 to 190 of about 1,769,588 (220)

Expansive data, extensive model: Investigating discussion topics around LLM through unsupervised machine learning in academic papers and news. [PDF]

PLoS One
Jung HS, Lee H, Woo YS, Baek SY, Kim JH.
europepmc   +1 more source

Convergence and combinatorics of the Reverse algorithm

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito, Niels Langeveld, Jörg Thuswaldner   +2 more
wiley   +1 more source

Cauchy identities for staircase matrices

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi   +2 more
wiley   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro, José M. Manzano, José S. Santiago   +2 more
wiley   +1 more source

Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena, Jeremy T. Tyson   +1 more
wiley   +1 more source

Prognostic gene expression and microRNA profiling signatures and genetic alterations in primary testicular diffuse large B-cell lymphoma. [PDF]

Blood Cancer J
Shi W, Xu-Monette ZY, Jia Y, Tzankov A, Go H, Li L, Ponzoni M, Wang Y, Zhai Q, Perry AM, Wang S, Wang X, Chiu A, Xu ML, Visco C, Dybkaer K, Withers H, Long M, Yuan AF, Miao Y, Macias E, Wu D, Shuai W, Wang B, Li J, Bhagat G, Zu Y, Pan Z, Choi W, Montes-Moreno S, Chen W, Krieken JHV, Møller MB, Yu X, Parsons BM, Zhang S, Hsi ED, Sohani AR, Abramson JS, Ferreri AJM, Xu B, Li Y, Young KH.   +42 more
europepmc   +1 more source

Interpolation categories for conformal embeddings

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
wiley   +1 more source

Genos: a human-centric genomic foundation model. [PDF]

Gigascience
Lin A, Xie B, Ye C, Wang C, Chen D, Wang E, Lu F, Xue G, Zhang H, Zhan J, Zhang J, Pang J, Liang J, Lin J, Ma J, Hu J, Ma J, Dong J, Li J, Liu J, Chen J, Li J, Ding K, Deng K, Chen K, Wang L, Liu L, Guo L, Xiong L, Yang L, Cheng M, Chen N, Chen R, Sun S, Li S, Chen S, Liu S, Xie S, Liu S, Zhou T, Tang W, Zhang W, Jiang X, Qi X, Jin X, Tan X, Hu X, Xu X, Feng X, Lu Y, Gao Y, Shang Y, He Y, Yuan Y, Wang Y, Liu Y, Xiao Z, Meng Z, Li Z, Zhao Z, Yang Z, Wang Z.   +61 more
europepmc   +1 more source

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source