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Antoine Marnat

Dr., master

20182019
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Personal profile

Research interests

Number Theory, Diophantine Approximation, Parametric Geometry of Numbers

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Geometry of numbers Mathematics
Diophantine Approximation Mathematics
Number theory Mathematics

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Research Output 2018 2019

Hausdorff and packing dimension of Diophantine sets

Marnat, A., 17 Apr 2019, In : arXiv.org e-Print archive.

Research output: Contribution to journalArticleResearch

On Diophantine transference principles

Ghosh, A. & Marnat, A., 2019, In : Mathematical proceedings of the Cambridge Philosophical Society. 166, 3, p. 415-431 17 p.

Research output: Contribution to journalArticleResearchpeer-review

ABOUT JARNiK'S-TYPE RELATION IN HIGHER DIMENSION

Marnat, A., 2018, In : Annales de l’Institut Fourier. 68, 1, p. 131-150

Research output: Contribution to journalArticleResearchpeer-review

An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation

Marnat, A. & Moshchevitin, N., 8 Feb 2018, In : arXiv.org e-Print archive.

Research output: Contribution to journalArticleResearch

Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

Chow, S., Ghosh, A., Guan, L., Marnat, A. & Simmons, D., 22 Aug 2018, In : arXiv.org e-Print archive.

Research output: Contribution to journalArticleResearch