Results 51 to 60 of about 110,516 (135)
One‐level densities in families of Grössencharakters associated to CM elliptic curves
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
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
Symplectic geometry of Anosov flows in dimension 3 and bi-contact topology [PDF]
Surena Hozoori
semanticscholar +1 more source
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
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
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
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
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
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
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

