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, Vlad Serban, Nihar Prakash Gargava

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

The multivariate Serre conjecture ring

Luc Guyot

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

San Diego2023

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

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

Limited role of soil texture in mediating natural vegetation response to rainfall anomalies

Sara Bonetti, Dani Or

Evidence suggests that the response of rainfed crops to dry or wet years is modulated by soil texture. This is a central tenet for certain agronomic operations in water-limited regions that rely on spatial distribution of soil texture for guiding precision ...

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

The multivariate Serre conjecture ring

Linear Complexity Self-Attention With 3rd Order Polynomials

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

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.

Limited role of soil texture in mediating natural vegetation response to rainfall anomalies

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

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

Exploring SIDH-Based Signature Parameters

Correspondence functors and duality

The multivariate Serre conjecture ring

Limited role of soil texture in mediating natural vegetation response to rainfall anomalies

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

Automated mixing of maximally localized Wannier functions into target manifolds

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

Linear Complexity Self-Attention With 3rd Order Polynomials