Publications related to Local field

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

On the discrete logarithm problem in finite fields of fixed characteristic

Robert Granger, Thorsten Kleinjung, Jens Markus Zumbrägel

For

q

a prime power, the discrete logarithm problem (DLP) in

\mathbb{F}_q

consists in finding, for any

g \in \mathbb{F}_{q}^{\times}

and

h \in \langle g \rangle

, an integer

x

such that

g^x = h

. We present an algorithm for computing discrete log ...

2015

Marginal Stability in Structural, Spin, and Electron Glasses

Matthieu Wyart, Markus Müller

We revisit the concept of marginal stability in glasses and determine its range of applicability in the context of an avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudogap in the distribution of ...

2015

Shimura Curves and Special Values of p-adic L-functions

Ernest Hunter Brooks

We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the p-adic Abel-Jacobi map coincide with the values (outside the range of interpolation) of a p-adic L-functio ...

Oxford University Press2015

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

Klaus Kern, Magalí Alejandra Lingenfelder, Fernando Pablo Cometto

We use the electric field in a scanning tunneling microscope to manipulate the transition between open and close packed 2D supramolecular networks of neutral molecules in nonpolar media. We found that while the magnitude of the applied field is not decisiv ...

Amer Chemical Soc2015

Learning class-specific descriptors for deformable shapes using localized spectral convolutional networks

Pierre Vandergheynst, Michael Bronstein

In this paper, we propose a generalization of convolutional neural networks (CNN) to non-Euclidean domains for the analysis of deformable shapes. Our construction is based on localized frequency analysis (a generalization of the windowed Fourier transform ...

Wiley-Blackwell2015

Multiphoton microscopy in brain imaging

Graham Knott, Bohumil Maco, Ludovico Silvestri

Brain imaging is becoming an important field in the frame of the neurophotonics in correlations with other medical ones in neuroscience studying functional and morphological aspects. In this presentation an overview on multi photon imaging of the brain wil ...

Spie-Int Soc Optical Engineering2015

Bounds for the Euclidean minima of function fields

Piotr Aleksander Maciak

In this paper, we define Euclidean minima for function fields and give some bound for this invariant. We furthermore show that the results are analogous to those obtained in the number field case. (C) 2013 The Authors. Published by Elsevier Inc. All rights ...

Academic Press Inc Elsevier Science2014

Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field

David Maximilian Grimm

A recently found local-global principle for quadratic forms over function fields of curves over a complete discretely valued field is applied to the study of quadratic forms, sums of squares, and related field invariants. ...

Pacific Journal Mathematics2014

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Max-Olivier Hongler, Olivier Gallay, Roger Filliger

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the age ...

Amer Inst Mathematical Sciences2014

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Standards for dielectric elastomer transducers

On the discrete logarithm problem in finite fields of fixed characteristic

Marginal Stability in Structural, Spin, and Electron Glasses

Shimura Curves and Special Values of p-adic L-functions

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

Learning class-specific descriptors for deformable shapes using localized spectral convolutional networks

Multiphoton microscopy in brain imaging

Bounds for the Euclidean minima of function fields

Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

On the discrete logarithm problem in finite fields of fixed characteristic

Marginal Stability in Structural, Spin, and Electron Glasses

Shimura Curves and Special Values of p-adic L-functions

Sums Of Squares In Algebraic Function Fields Over A Complete Discretely Valued Field

Standards for dielectric elastomer transducers

Learning class-specific descriptors for deformable shapes using localized spectral convolutional networks

Local Conformational Switching of Supramolecular Networks at the Solid/Liquid Interface

Multiphoton microscopy in brain imaging

Bounds for the Euclidean minima of function fields

Local versus nonlocal barycenttic interactions in 1 D agent dynamics