Concept
Maximal ideal
Related publications (57)
Finitely generated infinite simple groups of homeomorphisms of the real line
We construct examples of finitely generated infinite simple groups of homeomorphisms of the real line. Equivalently, these are examples of finitely generated simple left (or right) orderable groups. This answers a well known open question of Rhemtulla from ...
SPRINGER HEIDELBERG2019Singular global components and frequency shift of the geodesic acoustic continuum modes in shaped tokamaks
Within the ideal magnetohydrodynamic (MHD) model, the geodesic acoustic modes (GAMs) in tokamaks derived by Winsor et al (1968 Phys. Fluids 11 2448) belong to the continuous spectrum, characterised by unbounded non-square integrable eigenfunctions (delta f ...
2019Almost tiling of the Boolean lattice with copies of a poset
Let P be a partially ordered set. If the Boolean lattice (2[n],⊂) can be partitioned into copies of P for some positive integer n, then P must satisfy the following two trivial conditions: (1) the size of P is a power of 2, (2) P has a unique maximal and m ...
ELECTRONIC JOURNAL OF COMBINATORICS2018Arithmetic and geometric structures in cryptography
Benjamin Pierre Charles Wesolowski
We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...
EPFL2018Virtual Submodule Concept for Fast Semi-Numerical Modular Multilevel Converter Loss Estimation
Drazen Dujic, Alexandre François Christe
During the design phase of a modular multilevel converter (MMC), an accurate loss evaluation of the submodule (SM) plays an important role. In this paper, a method based on the analytical description of the MMC key waveforms that allows to directly obtain ...
Institute of Electrical and Electronics Engineers2017Colloidal nanocrystals for photoelectrochemical and photocatalytic water splitting
Raffaella Buonsanti, Anna Loiudice, Chethana Janardhana Gadiyar
Colloidal nanocrystals (NCs) are among the most modular and versatile nanomaterial platforms for studying emerging phenomena in different fields thanks to their superb compositional and morphological tunability. A promising, yet challenging, application in ...
2017Exponentially long orbits in Hopfield neural networks
Wulfram Gerstner, Johanni Michael Brea, Samuel Pavio Muscinelli
We show that Hopfield neural networks with synchronous dynamics and asymmetric weights admit stable orbits that form sequences of maximal length. For N units, these sequences have length T = 2^N; that is, they cover the full state space. We present a mathe ...
Massachusetts Institute of Technology Press2017Coupling Ideality of Integrated Planar High-Q Microresonators
Tobias Kippenberg, Michael Wolfgang Geiselmann, Junqiu Liu, Martin Hubert Peter Pfeiffer
Chip-scale optical microresonators with integrated planar optical waveguides are useful building blocks for linear, nonlinear, and quantum-optical photonic devices alike. Loss reduction through improving fabrication processes results in several integrated ...
Amer Physical Soc2017A Prediction-Error Covariance Estimator for Adaptive Kalman Filtering in Step-Varying Processes: Application to Power-System State Estimation
Jean-Yves Le Boudec, Mario Paolone, Lorenzo Zanni
In this paper, we present a new method for the estimation of the prediction-error covariances of a Kalman filter (KF), which is suitable for step-varying processes. The method uses a series of past innovations (i.e., the difference between the upcoming mea ...
Institute of Electrical and Electronics Engineers2017The algebra of essential relations on a finite set
Let X be a finite set and let k be a commutative ring. We consider the k-algebra of the monoid of all relations on X, modulo the ideal generated by the relations factorizing through a set of cardinality strictly smaller than Card(X), called inessential rel ...
Walter de Gruyter2016