Publications related to Theta function

Observation of Vehicle Axles Through Pass-by Noise: A Strategy of Microphone Array Design

Jean-Marc Odobez, Hervé Lissek, Xavier Falourd, Patrick Marmaroli

This paper focuses on road traffic monitoring using sounds and proposes, more specifically, a microphone array design methodology for observing vehicle trajectory from acoustic-based correlation functions. In a former work, authors have shown that combinin ...

Institute of Electrical and Electronics Engineers2013

Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials

Olivier Lévêque

We provide here some probabilistic interpretations of the generalized binomial distributions proposed by Gazeau et al. ["Generating functions for generalized binomial distributions," J. Math. Phys. 53, 103304 (2012)]. In the second part, we prove the "stro ...

Amer Inst Physics2013

Algorithm to calculate a large number of roots of the cross-product of Bessel functions

Juan Ramon Mosig, Michael Mattes, Francisco Edén Sorolla Rosario

This paper describes an algorithm to calculate a large number of roots of the cross-product of Bessel functions and of their first derivatives. The algorithm initially finds the roots of the zeroth order using an auxiliary function that exhibits the same r ...

Institute of Electrical and Electronics Engineers2013

Positivity for Kac polynomials and DT-invariants of quivers

Tamás Hausel

We give a cohomological interpretation of both the Kac polynomial and the refined Donaldson-Thomas-invariants of quivers. This interpretation yields a proof of a conjecture of Kac from 1982 and gives a new perspective on recent work of Kontsevich Soibelman ...

Annal Mathematics2013

Highly Dynamic Distributed Computing with Byzantine Failures

Rachid Guerraoui, Anne-Marie Kermarrec, Florian Huc

This paper shows for the first time that distributed computing can be both reliable and efficient in an environment that is both highly dynamic and hostile. More specifically, we show how to maintain clusters of size O(log N), each containing more than two ...

2013

Application of the Matrix Pencil Method to Rational Fitting of Frequency-Domain Responses

Mario Paolone, Hamidreza Karami, Keyhan Sheshyekani

This paper presents a general methodology based on the matrix pencil method (MPM) for the fitting of frequency-domain responses in order to be properly represented in time-domain analysis. By virtue of the proposed method, a rational fitting of the frequen ...

Ieee-Inst Electrical Electronics Engineers Inc2012

A class of Neumann type systems and its application

Jinbing Chen

A class of Neumann type systems are derived separating the spatial and temporal variables for the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation and the modified Korteweg-de Vries (mKdV) hierarchy. The Lax-Moser matrix of Neumann type s ...

International Press2012

Active Learning of Multi-Index Function Models

Volkan Cevher, Hemant Tyagi

We consider the problem of actively learning \textit{multi-index} functions of the form

f(x) = g(Ax)= \sum_{i=1}^k g_i(a_i^Tx)

from point evaluations of

f

. We assume that the function

f

is defined on an

\ell_2

-ball in

\Real^d

,

g

is twice contin ...

2012

Erdos-Szekeres-type theorems for monotone paths and convex bodies

János Pach

For any sequence of positive integers j(1)< j(2)= 2 and q >= 2, what is the s ...

London Math Soc2012

Lessivage des polluants urbains et changement climatique : l’influence des modèles

David Andrew Barry, Luca Rossi, Sylvain Coutu, Sébastien Kramer

Rainfall for the next century will be influenced by global warming. These modified rainfalls will have influences on rainfall runoff. In order to analyze these impacts, this study compared different buildup and washoff functions with several future rainfal ...

2012

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Observation of Vehicle Axles Through Pass-by Noise: A Strategy of Microphone Array Design

Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials

Algorithm to calculate a large number of roots of the cross-product of Bessel functions

Positivity for Kac polynomials and DT-invariants of quivers

Highly Dynamic Distributed Computing with Byzantine Failures

Application of the Matrix Pencil Method to Rational Fitting of Frequency-Domain Responses

A class of Neumann type systems and its application

Active Learning of Multi-Index Function Models

Erdos-Szekeres-type theorems for monotone paths and convex bodies

Lessivage des polluants urbains et changement climatique : l’influence des modèles

Highly Dynamic Distributed Computing with Byzantine Failures

Observation of Vehicle Axles Through Pass-by Noise: A Strategy of Microphone Array Design

Proof of a conjecture by Gazeau et al. using the Gould-Hopper polynomials

Positivity for Kac polynomials and DT-invariants of quivers

Application of the Matrix Pencil Method to Rational Fitting of Frequency-Domain Responses

A class of Neumann type systems and its application

Algorithm to calculate a large number of roots of the cross-product of Bessel functions

Active Learning of Multi-Index Function Models

Erdos-Szekeres-type theorems for monotone paths and convex bodies

Lessivage des polluants urbains et changement climatique : l’influence des modèles