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We propose a methodology combining physical modelling and machine learning (ML) to estimate the apparent ground thermal diffusivity at the scale of a country. Based on ground temperature time series at different depths, we estimate the diffusivity at 49 Sw ...

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Analytic twists of modular forms and applications

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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 ...

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The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

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A widespread method for gyrokinetic simulations relies on the discretization of distribution functions with numerical markers. The electromagnetic field is typically represented on a grid by finite differences or finite elements (Particle-In-Cell, PIC). Wh ...

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Undecidability through Fourier series

In computability theory a variety of combinatorial systems are encountered (word problems, production systems) that exhibit undecidability properties. Here we seek such structures in the realm of Analysis, more specifically in the area of Fourier Analysis. ...

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A vector field method on the distorted Fourier side and decay for wave equations with potentials

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We study the Cauchy problem for the one-dimensional wave equation

\partial_t^2 u(t,x)-\partial_x^2 u(t,x)+V(x)u(t,x)=0.

The potential

V

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V(x)\sim -\tfrac14 |x|^{-2}\mbox{ as } |x|\to \infty.

...

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Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

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Sampling moiré effects occur due to aliasing (foldover) when a continuous periodic signal g(x) is sampled using a sampling frequency that does not respect the Nyquist condition. However, visible beating artifacts may also occur when g(x) is sampled using s ...

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The Square Kilometre Array (SKA) will form the largest radio telescope ever built, generating on the order of one terabyte of data per second. To reduce the data flow sent to the central processor, hierarchical designs have been proposed: the data is prima ...

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Fourier Analysis of MAC Polarization

Emre Telatar, Rajai Nasser

A problem of the polar code construction for multiple access channels (MACs) is that they do not always achieve the whole capacity region. Although polar codes achieve the sum-capacity of symmetric MACs, polarization may induce a loss in the capacity regio ...

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Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach

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Localization microscopy such as STORM/PALM can achieve a nanometer scale spatial resolution by iteratively localizing fluorescence molecules. It was shown that imaging of densely activated molecules can accelerate temporal resolution which was considered a ...

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MATHICSE Technical Report : Sparse spectral approximations for computing polynomial functionals

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Combining Fourier Analysis And Machine Learning To Estimate The Shallow-Ground Thermal Diffusivity In Switzerland

Analytic twists of modular forms and applications

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Undecidability through Fourier series

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Fourier Analysis of MAC Polarization

Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach

Analytic twists of modular forms and applications

Combining Fourier Analysis And Machine Learning To Estimate The Shallow-Ground Thermal Diffusivity In Switzerland

Undecidability through Fourier series

A vector field method on the distorted Fourier side and decay for wave equations with potentials

The Particle-In-Fourier (PIF) Approach Applied to Gyrokinetic Simulations

Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis

Fourier Analysis of MAC Polarization

Sub-Nyquist artifacts and sampling moiré effects, Part 2: Spectral-domain analysis

Towards More Accurate and Efficient Beamformed Radio Interferometry Imaging

Fast live cell imaging at nanometer scale using annihilating filter based low rank Hankel matrix approach