Publications related to Sine and cosine

Multiplicative chaos of the Brownian loop soup

Antoine Pierre François Jego, Titus Lupu

We construct a measure on the thick points of a Brownian loop soup in a bounded domain D

D

of the plane with given intensity theta>0

\theta >0

, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...

WILEY2023

Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

Fabio Nobile, Giovanni Migliorati

We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fourier space and the non-periodic cosine space and Chebyshev space, via tent ...

2021

Imaginary Multiplicative Chaos: Moments, Regularity And Connections To The Ising Model

Janne Matias Junnila

In this article we study imaginary Gaussian multiplicative chaos-namely a family of random generalized functions which can formally be written as e(iX(x)), where X is a log-correlated real-valued Gaussian field on R-d, that is, it has a logarithmic singula ...

INST MATHEMATICAL STATISTICS2020

Path tracing is now the standard method used to generate realistic imagery in many domains, e.g., film, special effects, architecture etc. Path guiding has recently emerged as a powerful strategy to counter the notoriously long computation times required t ...

WILEY2020

Koopman Analysis of Isolated Fronts and Solitons

A Koopman decomposition of a complex system leads to a representation in which nonlinear dynamics appear to be linear. The existence of a linear framework with which to analyze nonlinear dynamical systems brings new strategies for prediction and control, w ...

2020

Measuring the Safety Climate of Academic Laboratories to Improve Safety Behaviours

Thierry Meyer, Damien Stricker, Nadia Gerweck

In 2005, two major accidents occurred at the Ecole Polytechnique Fédérale de Lausanne (EPFL). Although there were no injuries, the material damages resulted in high financial losses. The management of safety was restructured as a consequence. One of the ma ...

2019

,

We consider rank-1 lattices for integration and reconstruction of functions with series expansion supported on a finite index set. We explore the connection between the periodic Fourier space and the non-periodic cosine space and Chebyshev space, via tent ...

MATHICSE2019

Approximate FPGA Implementation of CORDIC for Tactile Data Processing using Speculative Adders

Christian Enz, Vincent Frédéric Camus

In most robotic and biomedical applications, the interest for real-time embedded systems with tactile ability has been growing. For example in prosthetics, a dedicated portable system is needed for developing wearable devices. The main challenges for such ...

2017

Periodic population codes: From a single circular variable to higher dimensions, multiple nested scales, and conceptual spaces

Alexander Mathis

Across the nervous system, neurons often encode circular stimuli using tuning curves that are not sine or cosine functions, but that belong to the richer class of von Mises functions, which are periodic variants of Gaussians. For a population of neurons en ...

2017

Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at $ \sqrt{s}=7 $ TeV

Jian Wang, Matthias Finger, Lesya Shchutska, Qian Wang, Matthias Wolf, Varun Sharma, Konstantin Androsov, Jan Steggemann, Leonardo Cristella, Roberto Castello, Alessandro Degano, Zhirui Xu, Chao Wang, João Miguel das Neves Duarte, Tian Cheng, Yixing Chen, Werner Lustermann, Andromachi Tsirou, Alexis Kalogeropoulos, Andrea Rizzi, Ioannis Papadopoulos, Paolo Ronchese, Thomas Muller, Ho Ling Li, Giuseppe Codispoti, Hua Zhang, Siyuan Wang, Peter Hansen, Daniel Gonzalez, Paul Turner, Wei Sun, Raffaele Tito D'Agnolo, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta, Zheng Wang, Sanjeev Kumar, Wei Li, Yong Yang, Ajay Kumar, Ashish Sharma, Georgios Anagnostou, Joao Varela, Csaba Hajdu, Muhammad Ahmad, Ekaterina Kuznetsova, Ioannis Evangelou, Matthias Weber, Muhammad Shoaib, Milos Dordevic, Vineet Kumar, Vladimir Petrov, Francesco Fiori, Quentin Python, Meng Xiao, Hao Liu, Sourav Sen, Viktor Khristenko, Marco Trovato, Gurpreet Singh, Fan Xia, Kai Yi, Bibhuprasad Mahakud, Rajat Gupta, Lei Feng, Shuai Liu, Davide Cieri, Aram Avetisyan, Charles Dietz, Alexandre Aubin, Michal Simon, Matteo Marone, Amr Mohamed, Juan Ramon Castiñeiras De Saa

The decorrelation in the azimuthal angle between the most forward and the most backward jets (Mueller-Navelet jets) is measured in data collected in pp collisions with the CMS detector at the LHC at

\sqrt{s}=7

TeV. The measurement is presented in the f ...

2016

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Multiplicative chaos of the Brownian loop soup

Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

Imaginary Multiplicative Chaos: Moments, Regularity And Connections To The Ising Model

Koopman Analysis of Isolated Fronts and Solitons

Measuring the Safety Climate of Academic Laboratories to Improve Safety Behaviours

Approximate FPGA Implementation of CORDIC for Tactile Data Processing using Speculative Adders

Periodic population codes: From a single circular variable to higher dimensions, multiple nested scales, and conceptual spaces

Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at $ \sqrt{s}=7 $ TeV

Multiplicative chaos of the Brownian loop soup

Imaginary Multiplicative Chaos: Moments, Regularity And Connections To The Ising Model

Function Integration, Reconstruction And Approximation Using Rank-1 Lattices

Koopman Analysis of Isolated Fronts and Solitons

Measuring the Safety Climate of Academic Laboratories to Improve Safety Behaviours

Approximate FPGA Implementation of CORDIC for Tactile Data Processing using Speculative Adders

Periodic population codes: From a single circular variable to higher dimensions, multiple nested scales, and conceptual spaces

Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at $ \sqrt{s}=7 $ TeV