Publications related to Local ring

Exploring SIDH-Based Signature Parameters

Tako Boris Fouotsa, Laurane Chloé Angélina Marco, Andrea Basso

Isogeny-based cryptography is an instance of post-quantum cryptography whose fundamental problem consists of finding an isogeny between two (isogenous) elliptic curves E and E′. This problem is closely related to that of computing the endomorphism ring of ...

Springer2024

Automated mixing of maximally localized Wannier functions into target manifolds

Nicola Marzari, Giovanni Pizzi, Junfeng Qiao

Maximally localized Wannier functions (MLWFs) are widely used in electronic-structure calculations. We have recently developed automated approaches to generate MLWFs that represent natural tight-binding sets of atomic-like orbitals; these describe accurate ...

Berlin2023

Correspondence functors and duality

Jacques Thévenaz, Serge Bouc

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. By means of a suitably defined duality, new correspondence functors are constructed, having remarkable p ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2023

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Relative plus constructions

Jérôme Scherer

Let h be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair (X,H), consisting of a connected space X and an hperfect ...

2023

Linear Complexity Self-Attention With 3rd Order Polynomials

Grigorios Chrysos, Filippos Kokkinos

Self-attention mechanisms and non-local blocks have become crucial building blocks for state-of-the-art neural architectures thanks to their unparalleled ability in capturing long-range dependencies in the input. However their cost is quadratic with the nu ...

Los Alamitos2023

2.4-angstrom structure of the double-ring Gemmatimonas phototrophica photosystem

Henning Paul-Julius Stahlberg

Phototrophic Gemmatimonadetes evolved the ability to use solar energy following horizontal transfer of photosynthesis-related genes from an ancient phototrophic proteobacterium. The electron cryo-microscopy structure of the Gemmatimonas phototrophica photo ...

AMER ASSOC ADVANCEMENT SCIENCE2022

On the Grothendieck-Serre conjecture for classical groups

Eva Bayer Fluckiger

We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue ...

WILEY2022

Quantified Effects of Multiple Parameters on Inputs and Potential Sources of Microplastics from a Typical River Flowing into the Sea

Florian Frédéric Vincent Breider, Yang Liu, Wenxin Liu

As an important connection of terrestrial and marine ecosystems, rivers input multitudinous (micro)plastics into the oceans. However, comparisons of field and estimated riverine inputs of (micro)plastics and contributions of multiple parameters are limited ...

2022

In flow acoustic characterisation of a 2D active liner with local and non local strategies.

Hervé Lissek, Maxime Volery, Gaël Matten

The design and the grazing flow aeroacoustical characterization of a 2D active liner based on an array of electroacoustic absorbers are presented in this paper. The strategy stands on a pressure-based, current-driven digital architecture for impedance cont ...

2022

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Exploring SIDH-Based Signature Parameters

Automated mixing of maximally localized Wannier functions into target manifolds

Correspondence functors and duality

Moments of the number of points in a bounded set for number field lattices

Relative plus constructions

Linear Complexity Self-Attention With 3rd Order Polynomials

2.4-angstrom structure of the double-ring Gemmatimonas phototrophica photosystem

On the Grothendieck-Serre conjecture for classical groups

Quantified Effects of Multiple Parameters on Inputs and Potential Sources of Microplastics from a Typical River Flowing into the Sea

In flow acoustic characterisation of a 2D active liner with local and non local strategies.

Correspondence functors and duality

Moments of the number of points in a bounded set for number field lattices

Linear Complexity Self-Attention With 3rd Order Polynomials

2.4-angstrom structure of the double-ring Gemmatimonas phototrophica photosystem

Exploring SIDH-Based Signature Parameters

In flow acoustic characterisation of a 2D active liner with local and non local strategies.

Relative plus constructions

On the Grothendieck-Serre conjecture for classical groups

Automated mixing of maximally localized Wannier functions into target manifolds

Quantified Effects of Multiple Parameters on Inputs and Potential Sources of Microplastics from a Typical River Flowing into the Sea