Displaying similar documents to “Knowledge bases and automorphic equivalence of multi-models versus linear spaces and graphs”

Mathematical Models of Abstract Systems: Knowing abstract geometric forms

Jean-Pierre Marquis (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

Scientists use models to know the world. It is usually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics...

Nonvanishing of automorphic L-functions at special points

Zhao Xu (2014)

Acta Arithmetica

Similarity:

At some special points, we establish a nonvanishing result for automorphic L-functions associated to the even Maass cusp forms in short intervals by using the mollification technique.

K-finite Whittaker functions are of finite order one

(2013)

Acta Arithmetica

Similarity:

We prove a finite order one type estimate for the Whittaker function attached to a K-finite section of a principle series representation of a real or complex Chevalley group. Effective computations are made using convexity in ℂⁿ, following the original paper of Jacquet. As an application, we give a simplified proof of the known result of the boundedness in vertical strips of certain automorphic L-functions, using a result of Müller.

Asymptotically almost automorphic solutions of differential equations with piecewise constant argument

Hui-Sheng Ding, Shun-Mei Wan (2017)

Open Mathematics

Similarity:

This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do...

VaR bounds in models with partial dependence information on subgroups

Ludger Rüschendorf, Julian Witting (2017)

Dependence Modeling

Similarity:

We derive improved estimates for the model risk of risk portfolios when additional to the marginals some partial dependence information is available.We consider models which are split into k subgroups and consider various classes of dependence information either within the subgroups or between the subgroups. As consequence we obtain improved VaR bounds for the joint portfolio compared to the case with only information on the marginals. Our paper adds to various recent approaches to obtain...

Multidimensional Models for Methodological Validation in Multifractal Analysis

R. Lopes, I. Bhouri, S. Maouche, P. Dubois, M. H. Bedoui, N. Betrouni (2008)

Mathematical Modelling of Natural Phenomena

Similarity:

Multifractal analysis is known as a useful tool in signal analysis. However, the methods are often used without methodological validation. In this study, we present multidimensional models in order to validate multifractal analysis methods.