Publications related to Field of fractions

Lattice packings through division algebras

In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...

SPRINGER HEIDELBERG2023

Understanding the growth mechanism of BaZrS3 chalcogenide perovskite thin films from sulfurized oxide precursors

Anna Fontcuberta i Morral, Elias Zsolt Stutz, Andrea Giunto, Santhanu Panikar Ramanandan, Mirjana Dimitrievska, Iléane Tiphaine Françoise Marie Lefevre

Barium zirconium sulfide (BaZrS3) is an earth-abundant and environmentally friendly chalcogenide perovskite with promising properties for various energy conversion applications. Recently, sulfurization of oxide precursors has been suggested as a viable sol ...

IOP Publishing Ltd2023

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Marcos Rubinstein, Farhad Rachidi-Haeri

Recent research work shows that there are four procedures that can be used to calculate the electromagnetic fields from a current source. These different procedures, even though producing the same total field, give rise to field components that differ from ...

2021

Orders That Are Etale-Locally Isomorphic

Eva Bayer Fluckiger

Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat etale R-algebra are isomorphic. On the other hand, ...

AMER MATHEMATICAL SOC2020

Orders that are étale-locally isomorphic

Eva Bayer Fluckiger, Mathieu Huruguen

Let R be a semilocal Dedekind domain with fraction field F. It is shown that two hereditary R-orders in central simple F-algebras that become isomorphic after tensoring with F and with some faithfully flat étale R-algebra are isomorphic. On the other hand, ...

2019

Patching And Weak Approximation In Isometry Groups

Eva Bayer Fluckiger

Let R be a semilocal principal ideal domain. Two algebraic objects over R in which scalar extension makes sense (e.g. quadratic spaces) are said to be of the same genus if they become isomorphic after extending scalars to all completions of R and its fract ...

Amer Mathematical Soc2017

Standards for dielectric elastomer transducers

Herbert Shea, Samuel Rosset, Claire Jean-Mistral

Dielectric elastomer transducers consist of thin electrically insulating elastomeric membranes coated on both sides with compliant electrodes. They are a promising electromechanically active polymer technology that may be used for actuators, strain sensors ...

Institute of Physics2015

Fragmentation in Time-of-Flight Spectrometry-Based Calculations of Ionic Electrospray Thruster Performance

Herbert Shea, Daniel George Courtney

A method has been presented for accounting for ion fragmentation that occurs within the nonzero field of an ionic electrospray thruster. Given the complexities associated with direct thrust measurements, indirect means (and time-of-flight (TOF) in particul ...

American Institute of Aeronautics and Astronautics2015

Superdomain Structure in Epitaxial Tetragonal PZT Thin Films Under Tensile Strain

Nava Setter, Ludwig Feigl

The a/c domain pattern of tetragonal PbZr0.10Ti0.90O3 thin films under tensile misfit strain is investigated by piezoresponse force microscopy and X-ray diffraction. The results show a hierarchical ordering of the dense a/c domain structure into larger sup ...

Taylor & Francis2014

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Field of fractions

Lattice packings through division algebras

Understanding the growth mechanism of BaZrS3 chalcogenide perovskite thin films from sulfurized oxide precursors

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Orders That Are Etale-Locally Isomorphic

Petersson inner products of weight-one modular forms

Orders that are étale-locally isomorphic

Patching And Weak Approximation In Isometry Groups

Standards for dielectric elastomer transducers

Fragmentation in Time-of-Flight Spectrometry-Based Calculations of Ionic Electrospray Thruster Performance

Superdomain Structure in Epitaxial Tetragonal PZT Thin Films Under Tensile Strain

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Petersson inner products of weight-one modular forms

Patching And Weak Approximation In Isometry Groups

Orders that are étale-locally isomorphic

Standards for dielectric elastomer transducers

Fragmentation in Time-of-Flight Spectrometry-Based Calculations of Ionic Electrospray Thruster Performance

Superdomain Structure in Epitaxial Tetragonal PZT Thin Films Under Tensile Strain

Lattice packings through division algebras

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Orders That Are Etale-Locally Isomorphic