In this talk, we introduce a rigorous computational method for proving existence of periodic orbits of continuous and discontinuous (Filippov) piecewise-smooth differential equations. The computer-assisted proofs are obtained by combining a functional analytic approach based on Chebyshev series together with a Newton-Kantorovich type argument (the radii polynomial approach). Using this approach...

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...

[4] Philippe Aubry and Marc Moreno Maza, Triangular sets for solving polynomial systems: A comparative implementation of four methods, Computing restrictions of ideals in finitely generated k-algebras by means of Buchberger's algorithm,

Bertrand Forclaz / Philippe Martin (Hg.), Religion et piété au défi de la guerre Trente Ans, Rennes: Presses universitaires Rennes 2015. 345 S. mit 26 Abb. ISBN 978-2-7535-4077-4. Brosch. € 21,–

I show how to construct a stochastic long-lived overlapping generations model, based on a non-stochastic model developed by Olivier Blanchard [2] and Philippe Weil [14], that nests the RBC model as a special case. My innovation over previous work is to add an aggregate stochastic shock. I provide three different calibrations of the model. One mimics the RBC model and the other two are heterogen...

We model technological progress as an external effect of organizational design, focusing on how factories, based on labor division, could spawn the industrial revolution. Dividing labor, as Adam Smith argued, facilitates invention by observers of production processes. However, entrepreneurs cannot internalize this benefit and choose labor division to facilitate monitoring. Equilibrium with few ...

A recommendation of: Alain Migeon, Philippe Auger, Odile Fossati-Gaschignard, Ruth A. Hufbauer, Maëva Miranda, Ghais Zriki, Maria Navajas Climate of origin influences how a herbivorous mite responds to drought-stressed host plants https://doi.org/10.1101/2021.10.21.465244

Philippe Calain discusses the health and environmental hazards of extractive industries like mining and explores the tensions that arise when medical humanitarian organizations are called to intervene in emergencies involving the extractive sector.