Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability. [PDF]
Czachor M.
europepmc +1 more source
On the lengths and the numbers of congruence classes of closed geodesics in Grassman manifolds [PDF]
Yung-Chow Wong, Samuel S. H. Young
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Bounded cohomology of groups acting on trees with almost prescribed local actions
Abstract We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions G(F,F′)$G(F, F^{\prime })$, where F
Giuseppe Bargagnati, Elena Bogliolo
wiley +1 more source
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc +1 more source
Book Review: The variational theory of geodesics [PDF]
Richard Sacksteder
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Abstract We prove that (under appropriate orientation assumptions), the action of a Hamiltonian homeomorphism ϕ$\phi$ on the cohomology of a relatively exact Lagrangian fixed by ϕ$\phi$ is the identity. This extends results of Hu–Lalonde–Leclercq [Geom. Topol. 15 (2011), no. 3, 1617–1650] and the author [Selecta Math. (N.S.) 30 (2024), no. 2, Paper No.
Noah Porcelli
wiley +1 more source
Information-Theoretical Analysis of a Transformer-Based Generative AI Model. [PDF]
Deb M, Ogunfunmi T.
europepmc +1 more source
Markov's conjecture on integral necklaces
Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.
David Fisac
wiley +1 more source
Correlating pore space morphology with numerically computed soil gas diffusion for structured loam and sand, including stochastic 3D microstructure modeling. [PDF]
Prifling B +8 more
europepmc +1 more source

