Results 51 to 60 of about 110,516 (135)

One‐level densities in families of Grössencharakters associated to CM elliptic curves

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

Gaussian distributions, Jacobi group and Siegel-Jacobi space

open access: yes, 2014
Let $\mathcal{N}$ be the space of Gaussian distribution functions over $\mathbb{R}$, regarded as a 2-dimensional statistical manifold parameterized by the mean $\mu$ and the deviation $\sigma$. In this paper we show that the tangent bundle of $\mathcal{N}
Molitor, Mathieu
core   +1 more source

A Discrete Mechanics Approach to the Cosserat Rod Theory—Part II: Geometric Insights About Static Equilibria on Vertex and Staggered Grids

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.
ABSTRACT We apply the discrete mechanics approach to the discretisation of geometrically exact Cosserat rods. We consider discrete Cosserat rods defined on a vertex (or nodal) grid, as well as on a staggered grid, and provide a review and update of the results already obtained in Part I for the nodal model variant and, for the first time, present a ...
Holger Lang   +5 more
wiley   +1 more source

A Note on Derived Geometric Interpretation of Classical Field Theories

open access: yes, 2019
In this note, we would like to provide a conceptional introduction to the interaction between derived geometry and physics based on the formalism that has been heavily studied by Kevin Costello. Main motivations of our current attempt are as follows: (i)
Berktav, Kadri İlker
core   +1 more source

Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices

open access: yesAnnalen der Physik, Volume 537, Issue 12, December 2025.
It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
wiley   +1 more source

Metaplectic operators with quasi‐diagonal kernels

open access: yesMathematische Nachrichten, Volume 298, Issue 12, Page 3618-3638, December 2025.
Abstract Metaplectic operators form a relevant class of operators appearing in different applications, in this work we study their Schwartz kernels. Namely, diagonality of a kernel is defined by imposing rapid off‐diagonal decay conditions, and quasi‐diagonality by imposing the same conditions on the smoothing of the kernel through convolution with the
Gianluca Giacchi, Luigi Rodino
wiley   +1 more source

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yes, 2015
We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-
Bazzoni, Giovanni   +2 more
core   +2 more sources

Compactifications of strata of differentials

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
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

Hearing Delzant polytopes from the equivariant spectrum

open access: yes, 2012
Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric K\"ahler metric g. Abreu asked whether the spectrum of the Laplace operator $\Delta_g$ on $\mathcal{C}^\infty(M)$ determines the moment polytope of M, and hence by Delzant'
Dryden, Emily B.   +2 more
core   +1 more source

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