30 Mar 2024
Job Information
- Organisation/Company
Ecole des Mines de Saint-Etienne- Research Field
Mathematics
Computer science » Informatics
Technology » Materials technology- Researcher Profile
Recognised Researcher (R2)
Leading Researcher (R4)
First Stage Researcher (R1)
Established Researcher (R3)- Country
France- Application Deadline
14 May 2024 - 22:00 (UTC)- Type of Contract
Temporary- Job Status
Full-time- Offer Starting Date
1 Oct 2024- Is the job funded through the EU Research Framework Programme?
Not funded by an EU programme- Is the Job related to staff position within a Research Infrastructure?
No
Offer Description
The core of the GEOFIELD project is to understand the geometry of random fields (denoted RF), in order to obtain practical tools for modeling and simulating actual spatial structures. Roughly speaking, a RF is denoted by a random variable in each physical point of a spatial domain and the correlation structure between neighbors. These random objects are practical when
modeling real structures like the surface of hip implants [1], human corneal endotheliums [4] and fuel cells [3]. This project focuses on Gaussian RFs because they are fully characterized by their covariance
function.
For stationary Gaussian RFs with given covariance structure, a fairly standard method using the Fourier transform can e fficiently speed-up the process [2]. To extend this e fficient approach for
non-stationary RFs, one could consider a RF G constructed by
the combination of several RFs (Gi; i = 1; : : : ;N), which is a sequence of independent, stationary Gaussian RFs, where the covariance of each is given by a window function (and thus localised in space).
Objective
Select the appropriate window functions fi and stationary covariance functions CGi to approximate a given covariance function CG e ciently. These RFs will be used to develop simulation models of Ni-YSZ anodes for fuel cells.
[1] O. Ahmad and J.-C. Pinoli. On the linear combination of the gaussian and student's t random eld and the integral
geometry of its excursion sets. Statistics & Probability Letters, 83(2):559{567, 2013.
[2] A. Lang and J. Pottho . Fast simulation of Gaussian random elds. Monte Carlo Methods and Applications,
17(3):195{214, 2011.
[3] H. Moussaoui, J. Laurencin, Y. Gavet, G. Delette, M. Hubert, P. Cloetens, T. L. Bihan, and J. Debayle. Stochastic
geometrical modeling of solid oxide cells electrodes validated on 3d reconstructions. Computational Materials Science,
143:262 { 276, 2018.
[4] K. Rannou, E. Crouzet, C. Ronin, P. Guerrero, G. Thuret, P. Gain, J. Pinoli, and Y. Gavet. Comparison of Corneal
Endothelial Mosaic According to the Age: The CorImMo 3D Project. IRBM, 37(2):124{130, 2016.
Funding category: Contrat doctoral
PHD title: Doctorat en Image, Vision, Signal
PHD Country: France
Requirements
Specific Requirements
Le candidat recherché est issu d'un master 2 de mathématiques, mathématiques appliquées, avec les capacités de réaliser des développements informatiques (matlab ou python). Il est intéressé par les applications industrielles, notamment les piles à combustible dans le cadre de ce projet.
Il est possible de poursuivre ce stage avec un contrat de thèse de doctorat, en fonction des résultats obtenus.
Additional Information
Work Location(s)
- Number of offers available
- 1
- Company/Institute
- Ecole des Mines de Saint-Etienne
- Country
- France
- City
- Saint-Etienne
- Geofield
Where to apply
- Website
https://www.abg.asso.fr/fr/candidatOffres/show/id_offre/122027
Contact
- Website
https://www.mines-stetienne.fr/
STATUS: EXPIRED