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7 papers · 1 filter
Automata-based Adaptive Behavior for Economical Modelling Using Game Theory
Rawan Ghnemat, Saleh Oqeili, Cyrille Bertelle +1
In this chapter, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic doma…
Changing Levels of Description in a Fluid Flow Simulation
Pierrick Tranouez, Cyrille Bertelle, Damien Olivier
We describe here our perception of complex systems, of how we feel the different layers of description are important part of a correct complex system simulation. We describe a roug…
Hopf algebras of diagrams
Gerard Henry Edmond Duchamp, Jean-Gabriel Luque, Jean-Christophe Novelli +2
We investigate several Hopf algebras of diagrams related to Quantum Field Theory of Partitions and whose product comes from the Hopf algebras WSym or WQSym respectively built on in…
Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers
Florent Hivert, Jean-Christophe Novelli, Lenny Tevlin +1
We prove conjectures of the third author [L. Tevlin, Proc. FPSAC'07, Tianjin] on two new bases of noncommutative symmetric functions: the transition matrices from the ribbon basis…
Moderate Growth Time Series for Dynamic Combinatorics Modelisation
Luaï Jaff, Gérard H. E. Duchamp, Hatem Hadj Kacem +1
Here, we present a family of time series with a simple growth constraint. This family can be the basis of a model to apply to emerging computation in business and micro-economy whe…
Trees, functional equations, and combinatorial Hopf algebras
Florent Hivert, Jean-Christophe Novelli, Jean-Yves Thibon
One of the main virtues of trees is to represent formal solutions of various functional equations which can be cast in the form of fixed point problems. Basic examples include diff…