Concept
Quadratic field
Publications associées (301)
Simulating supercontinua from mixed and cascaded nonlinearities
Luis Guillermo Villanueva Torrijo, Victor Brasch, Furkan Ayhan, Tobias Herr, Thibault Voumard
Nonlinear optical frequency conversion is of fundamental importance in photonics and underpins countless of its applications: Sum- and difference-frequency generation in media with quadratic nonlinearity permits reaching otherwise inaccessible wavelength r ...
AIP Publishing2023Byzantine consensus is Θ(n^2): the Dolev-Reischuk bound is tight even in partial synchrony!
Rachid Guerraoui, Jovan Komatovic, Pierre Philippe Civit, Manuel José Ribeiro Vidigueira, Vincent Gramoli, Seth Gilbert
The Dolev-Reischuk bound says that any deterministic Byzantine consensus protocol has (at least) quadratic (in the number of processes) communication complexity in the worst case: given a system with n processes and at most f < n/3 failures, any solution t ...
2023Synthetic Generation of Activity-related data
The field of synthetic data is more and more present in our everyday life. The transportation domain is particularly interested in improving the methods for the generation of synthetic data in order to address the privacy and availability issue of real dat ...
2023A finiteness result for p-adic families of Bianchi modular forms
We study p-adic families of cohomological automorphic forms for GL(2) over imaginary quadratic fields and prove that families interpolating a Zariski-dense set of classical cuspidal automorphic forms only occur under very restrictive conditions. We show ho ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Between digital and territorial turns: A forking path
Elena Cogato Lanza, Chiara Cavalieri
This chapter looks at the intertwined evolution of two different ideas throughout the past century: that of ‘territory’, that has been reshaped and redefined in the field of architecture and urbanism, and that of ‘digital’, that while becoming dominant, ha ...
Routledge2022Gerstenhaber structure on Hochschild cohomology of the Fomin–Kirillov algebra on 3 generators
The goal of this article is to compute the Gerstenhaber bracket of the Hochschild cohomology of the Fomin–Kirillov algebra on three generators over a field of characteristic different from 2 and 3. This is in part based on a general method we introduce to ...
2022On the Grothendieck-Serre conjecture for classical groups
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 ...
WILEY2022Atomically engineered interfaces yield extraordinary electrostriction
Paul Muralt, Dragan Damjanovic, Ivano Eligio Castelli, Daesung Park
Electrostriction is a property of dielectric materials whereby an applied electric field induces a mechanical deformation proportional to the square of that field. The magnitude of the effect is usually minuscule (
2022Zero-Knowledge IOPs with Linear-Time Prover and Polylogarithmic-Time Verifier
Interactive oracle proofs (IOPs) are a multi-round generalization of probabilistically checkable proofs that play a fundamental role in the construction of efficient cryptographic proofs. We present an IOP that simultaneously achieves the properties of zer ...
SPRINGER INTERNATIONAL PUBLISHING AG2022Efficient protocols for oblivious linear function evaluation from ring-LWE
An oblivious linear function evaluation protocol, or OLE, is a two-party protocol for the function f (x) = ax + b, where a sender inputs the field elements a, b, and a receiver inputs x and learns f (x). OLE can be used to build secret-shared multiplicatio ...
IOS PRESS2022