Intertemporal Price Discrimination with Time-Varying Valuations

Autor: Victor, Araman, Bassam, Fayad

A firm that sells a non perishable product considers intertemporal price discrimination in the objective of maximizing its long-run average revenue. We consider a general model of patient customers with changing valuations. Arriving customers wait fo

Externí odkaz: http://arxiv.org/abs/2002.05970

Intertemporal Price Discrimination with Time-Varying Valuations

Autor: Victor F. Araman, Bassam Fayad

Publikováno v: Operations Research. 69:245-265

A firm that sells a nonperishable product considers intertemporal price discrimination in the objective of maximizing its long-run average revenue. We consider a general model of patient customers with changing valuations. Arriving customers wait for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::836c1fae126b40b7b8928e66d0d961d7
https://doi.org/10.1287/opre.2020.1984

On mixing diffeomorphisms of the disc

Autor: Patrice Le Calvez, Disheng Xu, Zhiyuan Zhang, Bassam Fayad, Artur Avila

Publikováno v: Inventiones mathematicae. 220:673-714

We prove that a $$C^k$$, $$k\ge 2$$ pseudo-rotation f of the disc with non-Brjuno rotation number is $$C^{k-1}$$-rigid. The proof is based on two ingredients: (1) we derive from Franks’ Lemma on free discs that a pseudo-rotation with small rotation

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0e6afe38cd35bd998c2761d57fd3978d
https://doi.org/10.1007/s00222-019-00937-7

Realizing arbitrary $d$-dimensional dynamics by renormalization of $C^d$-perturbations of identity

Autor: Bassam Fayad, Maria Saprykina

Any \begin{document}$ C^d $\end{document} conservative map \begin{document}$ f $\end{document} of the \begin{document}$ d $\end{document}-dimensional unit ball \begin{document}$ {\mathbb B}^d $\end{document}, \begin{document}$ d\geq 2 $\end{document}

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d3bd9bc5f8a1e1b10d6cca8388c7fa5
https://hal.archives-ouvertes.fr/hal-03456712

Nekhoroshev estimates for steep real-analytic elliptic equilibrium points

Autor: Laurent Niederman, Abed Bounemoura, Bassam Fayad

Publikováno v: HAL
Nonlinearity
Nonlinearity, IOP Publishing, In press
Nonlinearity, 2020, ⟨10.1088/1361-6544/ab4c89⟩
Nonlinearity, IOP Publishing, 2020, 33 (1), pp.1-33. ⟨10.1088/1361-6544/ab4c89⟩
Nonlinearity, 2020, 33 (1), pp.1-33. ⟨10.1088/1361-6544/ab4c89⟩

International audience; We prove that steep real-analytic elliptic equilibrium points are exponentially stable, generalizing results which were known only under a convexity assumption. This proves the general case of a conjecture of Nekhoroshev. This

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08af437c078a987c3f0c705587f04123
https://doi.org/10.1088/1361-6544/ab4c89