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We combine effective mixing and Duke's theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discriminant still equidistribute. These subcollections are only assumed to have suffi ...
It is known that not all summation methods are linear and stable. Zeta function regularization is in general nonlinear. However, in some cases formal manipulations with zeta function regularization (assuming linearity of sums) lead to correct results. We c ...
The problem of effect polymorphism is a major obstacle to wide adoption of effect systems in the programming community. The absence of effect systems reduces compiler optimization opportunities and disables effect constraints on APIs in parallel and distri ...
Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...
In this paper, we present an exact Riemann solver for one-dimensional systems of conservation laws. The method is based on an offline-online computational decomposition. During the offline stage, we generate an accurate surrogate model for the solution to ...
For any positive integers n≥3,r≥1 we present formulae for the number of irreducible polynomials of degree n over the finite field F2r where the coefficients of xn−1, xn−2 and xn−3 are zero. Our proofs involve coun ...
Model-structure identification is important for the optimization and design of biokinetic processes. Standard Monod and Tessier functions are often used by default to describe bacterial growth with respect to a substrate, leading to significant optimizatio ...
La thermodynamique est une théorie physique qui permet d'établir des relations entre des grandeurs physiques caractérisant le système physique qu'on se propose d'analyser. Ces grandeurs correspondent à des propriétés macroscopiques observées. L'usage de ce ...
Presses Polytechniques et Universitaires Romandes (PPUR)2016
For~q a prime power, the discrete logarithm problem (DLP) in~\Fq consists in finding, for any g∈Fq× and h∈⟨g⟩, an integer~x such that gx=h. We present an algorithm for computing discrete logarithm ...
We review combinational results to enumerate and classify reversible functions and investigate the application to circuit complexity. In particularly, we consider the effect of negating and permuting input and output variables and the effect of applying li ...
