Concept

Ideal class group

Related publications (41)

Long-distance radiative excitation transfer between quantum dots in disordered photonic crystal waveguides

We theoretically investigate the magnitude and range of the photon-mediated interaction between two quantum dots embedded in a photonic crystal waveguide, including fabrication disorder both in the crystal and in the dot positioning. We find that disorder- ...

Amer Physical Soc2013

Circulation patterns in open, wide and deep lacustrine embayments with different aspect ratios

David Andrew Barry, Ulrich Lemmin, Amir Mehdi Razmi

Numerical simulations were carried out to examine the effect of different horizontal aspect ratios on wind-induced circulation within open, wide and deep lacustrine embayments. Two adjacent embayments in Lake Geneva, Switzerland, located between Morges and ...

2013

Thermal characterization of an LTCC module for miniature atomic clock packaging

Peter Ryser, Thomas Maeder, Fabrizio Vecchio, Conor Joseph Slater

This paper presents the design and thermal characterization of a 15 × 22 mm2 LTCC module dedicated to the packaging of the elements of a miniature atomic clock. This module acts as a carrier for the components of the clock as well as temperature controller ...

IMAPS / ACerS2012

Structural and magnetic properties of epitaxial Co2FeAl films grown on MgO substrates for different growth temperatures

Santiago Serrano Guisan

We report the correlation between the crystalline structure, electronic structure and magnetic properties of Co2FeAl films as a function of growing temperature both experimentally and theoretically. The Co2FeAl film grown at room temperature is initially i ...

Pergamon-Elsevier Science Ltd2012

Low-frequency linear-mode regimes in the tokamak scrape-off layer

Paolo Ricci, Sébastien Jolliet, Federico David Halpern, Annamaria Mosetto

Motivated by the wide range of physical parameters characterizing the scrape-off layer (SOL) of existing tokamaks, the regimes of low-frequency linear instabilities in the SOL are identified by numerical and analytical calculations based on the linear, dri ...

American Institute of Physics2012

Sup-norms of Eigenfunctions on Arithmetic Ellipsoids

Philippe Michel

Let B be a positive quaternion algebra, and let O subset of B be an Eichler order. There is associated, in a natural way, a variety X = X(O) the connected components of which are indexed by the ideal classes of O and are isomorphic to spheres. This variety ...

Oxford University Press2011

Distribution of periodic torus orbits and Duke's theorem for cubic fields

Philippe Michel

We study periodic torus orbits on spaces of lattices. Using the action of the group of adelic points of the underlying tori, we define a natural equivalence relation on these orbits, and show that the equivalence classes become uniformly distributed. This ...

2011

Annihilating Polynomials for Quadratic Forms

Klaas-Tido Rühl

Let K be a field with char(K) ≠ 2. The Witt-Grothendieck ring (K) and the Witt ring W (K) of K are both quotients of the group ring ℤ[𝓖(K)], where 𝓖(K) := K*/(K*)2 is the square class group of K. Since ℤ[𝓖(K)] is integra ...

EPFL2010

Explicit construction of self-dual integral normal bases for the square-root of the inverse different

Erik Jarl Pickett

Let K be a finite extension of Q(p), let L/K be a finite abelian Galois extension of odd degree and let D-L be the valuation ring of L. We define A(L/K) to be the unique fractional D-L-ideal with square equal to the inverse different of L/K. For p an odd p ...

2009

The link between the infinite mapping class group of the disk and the braid group on infinitely many strands

Jan Brunner

φ For all finite n ∈ N, there is a well-known isomorphism between the standard braid group Bn and the mapping class group π0Hn. This isomorphism has been exhaustively studied in literature, and generalized in many ways. For some basic topological reason, t ...

EPFL2008

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