Deformations of Anosov subgroups: Limit cones and growth indicators
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Construction of self-adjoint Berezin–Toeplitz operators on Kähler manifolds and a probabilistic representation of the associated semigroups [PDF]
Bernhard G. Bodmann
openalex +1 more source
Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
wiley +1 more source
G$G$‐typical Witt vectors with coefficients and the norm
Abstract For a profinite group G$G$ we describe an abelian group WG(R;M)$W_G(R; M)$ of G$G$‐typical Witt vectors with coefficients in an R$R$‐module M$M$ (where R$R$ is a commutative ring). This simultaneously generalises the ring WG(R)$W_G(R)$ of Dress and Siebeneicher and the Witt vectors with coefficients W(R;M)$W(R; M)$ of Dotto, Krause, Nikolaus ...
Thomas Read
wiley +1 more source
ToxACoL: an endpoint-aware and task-focused compound representation learning paradigm for acute toxicity assessment. [PDF]
Lu J+8 more
europepmc +1 more source
Abstract In this study, we develop an advanced hybrid forecasting system for short‐term (0–120 hr) typhoon predictions, seamlessly integrating the FuXi machine‐learning model with the physics‐based Shanghai Typhoon Model (SHTM). By employing spectral nudging, the hybrid FuXi‐SHTM model leverages FuXi's robust large‐scale forecasting capabilities ...
Zeyi Niu+6 more
wiley +1 more source
Underlying Geometric Flow in Hamiltonian Evolution. [PDF]
Elgressy G, Horwitz L.
europepmc +1 more source
Inverse-designed metasurfaces for wavefront restoration in under-display camera systems. [PDF]
Jo J+5 more
europepmc +1 more source
Adjoint vector fields and differential operators on representation spaces [PDF]
Dmitri I. Panyushev
openalex +1 more source