Mathematical Economics.

Analysis on Fractals and Applications.

Structural Analysis and Social Networks.

N. Riane, Rethinking Arrow-Debreu: A New Framework for Exchange, Time and Uncertainty, preprint.

N. Riane, Spectral Influence in Networks: An Application to Input-Output Analysis, Journal of Combinatorial Optimization, December 2024, HTML.

N. Riane, Claire David, François Vigneron, Membrane Deformation - Finite Elements - Parametric Shape Optimization on the Koch Snowflake, preprint, PDF.

N. Riane, Keynesian Beauty Contest in Morocco's Public Procurement Reform, International Journal of Procurement Management, in press, HTML.

N. Riane, C. David, Generalized measure Black-Scholes equation: Towards option self-similar pricing, Optimization and Engineering, April 2024, HTML.

N. Riane, A Kinetic General Equilibrium Model, preprint.

N. Riane, Walrasian Tâtonnement: A Kinetic Model For Price Adjustment, preprint.

N. Riane, C. David, D. Lebert, What can one learn from a bilateral exchange matrix ?, preprint.

N. Riane, C. David, Input-output analysis : new results from Markov chain theory, Économie Appliquée, 2022, PDF.

N. Riane, C. David, Optimal control of the heat equation on a fractal set, Optimization and Engineering, April 2021.

N. Riane, C. David, Optimization on fractal sets, Optimization Letters, January 2021, PDF.

N. Riane, C. David, An inverse Black-Scholes problem, Optimization and Engineering, January 2021.

N. Riane, C. David, The Finite Volume Method on Sierpiński Simplices, Communications in Nonlinear Science and Numerical Simulation, Volume 92, pages 105468, January 2021, PDF.

N. Riane, C. David, Sierpiński Gasket versus Arrowhead curve, Communications in Nonlinear Science and Numerical Simulation, Volume 89, pages 105311, October 2020, PDF. 

N. Riane, Krein-Feller-Stieljes theory and transport phenomena : an application to Cantor function, preprint.

N. Riane, C. David, The inverse Black-Scholes problem in Radon measures space revisited : a new measure of market uncertainty, preprint.

N. Riane, C. David, The Finite difference method, for the heat equation on Sierpiński simplices, International Journal of Computer Mathematics, Volume 96, Issue 7, pages 1477-1501, 2019, PDF.

C. David, N. Riane, Formes de Dirichlet et fonctions harmoniques sur le graphe de la fonction de Weierstrass, preprint.

N. Riane, Étude de la dynamique non-linéaire des rentabilités de la bourse de Casablanca, MPRA paper 61957.