Search results for "classical orthogonal polynomials"

A glance at orthogonal polynomials

Project topics and materials - 23 octobre 2021 0
Get Complete Project Material File(s) Now! » Summary and future perspectives Semiclassical orthogonal polynomials, in particular generalized Freud polynomials, have been the main focus of this thesis. Generalized Freud polynomials are orthogonal with respect to the so-called generalized Freud inner...

Interlacing of zeros of Jacobi polynomials from sequences corresponding to different parameters

Project topics and materials - 22 novembre 2019 0
Get Complete Project Material File(s) Now! » Orthogonal polynomials and their properties Orthogonal polynomials were used by R. Murphy (cf. [40]) in 1835 although he referred to them as ”reciprocal functions”. P.L. Chebyshev (cf. [16]) recognized the importance of orthogonal...

Classification of computational assumptions in the algebraic group model 

Project topics and materials - 17 octobre 2022 0
Get Complete Project Material File(s) Now! » The Algebraic Group Model A central paradigm for assessing the security of a cryptographic scheme or hardness assumption is to analyze it within an idealized model of computation. A line of work initiated...

Statistical inverse identication of the multilevel stochastic reduced- order model: application to an automobile 

Project Topics - 16 août 2022 0
Get Complete Project Material File(s) Now! » Reduced kinematics for the kinetic energy In order to lter local displacements, a reduced kinematics is introduced for the mass matrix. This reduced kinematics is intended to be such that the local displacements...

RSA on Embedded Devices and Physical Attacks 

Project Topics - 7 juillet 2022 0
Get Complete Project Material File(s) Now! » Lattices in Physical Attacks If physical attacks sometimes allow the retrieval of the whole secret, in many cases, only part of the secret is revealed to the attacker. In those cases, lattice-based techniques...

Unified numerical implementation of quasi-brittle behavior for heterogeneous material through the Embedded Finite Element Method 

Project Topics - 20 mai 2022 0
Get Complete Project Material File(s) Now! » Euler characteristic Introduction to the Euler characteristic is often made with the so-called Polyhedra Formula. Among its countless contributions, Euler found out that alternative the sum of the number of vertices (V ),...

Locally decodable and correctable codes 

Project topics and materials - 15 mars 2022 0
Get Complete Project Material File(s) Now! » Locally decodable and correctable codes Classical correcting algorithms allow us to retrieve a codeword c from a damaged version y of c. They usually take as input the entire noisy word y and...

Hermite Reduction for Rational-Function Telescoping 

Project topics and materials - 27 février 2022 0
Get Complete Project Material File(s) Now! » Motivation Since the 1990’s, Zeilberger’s method has been extensively studied in the literature [95, 96, 15, 92, 63, 6, 7, 65, 28, 16]. The main focus of those studies is on the efficiency...

Construction of xed-sized point processes from exchangeable variables 

Project topics and materials - 22 février 2022 0
Get Complete Project Material File(s) Now! » Stability properties of finite DPPs In this section, the ground space X is assumed to be nite. We focus on proving some of the stability properties of DPPs under di erent set operations...