Concept

Fonction d'Airy

Publications associées (11)

On Short Sums Of Trace Functions

We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for intervals of length slightly larger than this square root (bridging the "Polya-Vinog ...

Annales Inst Fourier2017

Analytic twists of modular forms and applications

Alexandre François Peyrot

We are interested in the study of non-correlation of Fourier coefficients of Maass forms against a wide class of real analytic functions. In particular, the class of functions we are interested in should be thought of as some archimedean analogs of Frobeni ...

EPFL2017

On the Kernel of the Cooray–Rubinstein Formula in the Time Domain

The kernel of the Cooray-Rubinstein formula in the time domain involves a modified Bessel function of order zero. In this letter, approximations of the kernel are proposed, which do not use any special function, and, hence, are able to simplify the numeric ...

Institute of Electrical and Electronics Engineers2016

Approximating Functions On Stratified Sets

We investigate smooth approximations of functions, with prescribed gradient behavior on a distinguished stratified subset of the domain. As an application, we outline how our results yield important consequences for a recently introduced class of stochasti ...

Amer Mathematical Soc2015

Theoretical treatment and numerical simulation of potentiometric and amperometric enzyme electrodes and of enzyme reactors. Part 2: Time-dependent concentration profiles, fluxes, and responses

Nico de Rooij, Peter Van der Wal

The time-dependent behavior of sensor systems based on enzyme membranes is treated theoretically. The comparative treatment covers traditional potentiometric and amperometric enzyme electrodes as well as enzyme reactors. Theoretical solutions are derived b ...

2011

Moment approach to the bootstrap current in nonaxisymmetric toroidal plasmas using deltaf Monte Carlo methods

Wilfred Anthony Cooper, Trach-Minh Tran

To evaluate the bootstrap current in nonaxisymmetric toroidal plasmas quantitatively, a deltaf Monte Carlo method is incorporated into the moment approach. From the drift-kinetic equation with the pitch-angle scattering collision operator, the bootstrap cu ...

2009

2-Selmer groups and the Birch-Swinnerton-Dyer Conjecture for the congruent number curves

Robert Christopher Rhoades

We take an approach toward Counting the number of integers n for which the curve (n),: y(2) = x(3) - n(2)x has 2-Selmer groups of a given size. This question was also discussed in a pair of papers by Roger Heath-Brown. In contrast to earlier work, our anal ...

2009

Fast focus field calculations

Theo Lasser, Marcel Leutenegger, Rainer Leitgeb

We present a method for fast calculation of the electromagnetic field near the focus of an objective with a high numerical aperture (NA). Instead of direct integration, the vectorial Debye diffraction integral is evaluated with the fast Fourier transform f ...

SPIE2008

Fast focus field calculations

Theo Lasser, Marcel Leutenegger, Rainer Leitgeb

2008

Artificial tongues and leaves

Natalie Renuka Banerji, Stefan Matile, Eric Vauthey, Alexandre Fürstenberg

The objective with synthetic multifunctional nanoarchitecture is to create large suprastructures with interesting functions. For this purpose, lipid bilayer membranes or conducting surfaces have been used as platforms and rigid-rod molecules as shape-persi ...

2008

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