143 research outputs found
Higher order peak algebras
Using the theory of noncommutative symmetric functions, we introduce the
higher order peak algebras, a sequence of graded Hopf algebras which contain
the descent algebra and the usual peak algebra as initial cases (N = 1 and N =
2). We compute their Hilbert series, introduce and study several combinatorial
bases, and establish various algebraic identities related to the multisection
of formal power series with noncommutative coefficients.Comment: 20 pages, AMS LaTe
The equality problem for rational series with multiplicities in the tropical semiring is undecidable
We show that the equality problem for rational series with multiplicities in the tropical semiring is undecidable
The equality problem for rational series with multiplicities in the tropical semiring is undecidable
We show that the equality problem for rational series with multiplicities in the tropical semiring is undecidable
Some consequences of a Fatou property of the tropical semiring
We show in this paper that the tropical semiring (integers equiped with (max,+) operations) has the Fatou property and study the consequences of this property with respect to decidability properties
Modeling Commercial Processes and Customer Behaviors to Estimate
We propose a formal model for estimating the diffusion rate of a new product on a coherent market. Our approach is based on a discrete probabilistic modeling of customer behaviors and of commercial processes.Diffusion of innovation, diffusion rate, marketing, customer behavior, product diffusion
A combinatorial approach to evaluation of reliability of the receiver output for BPSK modulation with spatial diversity
Article publié en ligne à l'adresse : http://www.combinatorics.org/Volume_13/Abstracts/v13i1r2.htmlA combinatorial approach for computing the Bit Error Ratio of a modulation protocol used in mobile telecommunications is proposed
Pareto optimality and Nash equilibrium for building stable systems
This paper introduces a design approach based on system analysis and game theory for the identification of architectural equilibrium which guarantees the stability of the system being designed and its environment after the integration. We introduce multi-objective optimization and game theory, and their links with systems engineering through mathematical models. While Pareto optimality is used to select best architectures and to support independent decisions, Nash equilibrium is used to find out architectural equilibrium and to support interdependent decisions. This approach was illustrated previously in a case study
Performance analysis of modulation with diversity - A combinatorial approach II : Bijective methods
We propose different bijective methods for studying the performance of a modulation protocol with diversity in the context of mobile communications
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