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16 juillet 2019

Multivariate Multifractal Analysis of Urban DATA

Catégorie : Post-doctorant

Offre de Post-Doc à pour voir dès septembre 2019.

Multifractal Analysis of urban/population/ressources data

Physics Department of ENS de Lyon

Available September 2019

Research themes : Multifractal analysis and modeling for cities.

Duration : 12 months, with possible 12-month renewal.

Advisors. Stephane Roux, stephane.roux@ens-lyon.fr, perso.ens-lyon.fr/stephane.roux

Patrice Abry, patrice.abry@ens-lyon.fr, perso.ens-lyon.fr/patrice.abry

Olivier Bonin, olivier.bonin@ifsttar.fr, www.lvmt.fr/equipe/olivier-bonin/

Stephane Jaffard, jaffard@u-pec.fr, perso-math.univ-mlv.fr/users/jaffard.stephane/

perso.ens-lyon.fr/patrice.abry/PostDocMultifracUrbanData.pdfPost-Doc position :



Required qualications : Candidates should have received a high-level academic forma-

tion in statistical signal processing. They must be strongly motivated by exploratory and

multidisciplinary research topics. Skills and practice of Matlab and Python are expected.


Location : The candidate will be hired by the University of Paris-Est through the project

AAP Impulsion MULTIFRAC, and will work with the Signal, System and Physics team,

within the Physics Laboratory at ENS Lyon.

Application : Interested candidates should send their CV, a motivation letter and at least

two references.


Keywords : Geography, population, urbanism, city growth, image processing, scale-free,

multifractal, point process, real-world data.


Description : Often, data associated with city organization or growth, such as population

densities, building structures, ressources are multiscale in nature, that is their dynamics

are spread across a wide range of scales, with no typical scale playing a specic role. The

analysis and modeling of such scale-free organizations and dynamics in city-based data

constitute a long standing research themes, with important stakes in term of territory

management and population behaviors. However, because data can be very dierent in

nature (density map, binary image of build area,...), in modality (teledetection data, si-

mulated data, road network, population density...) and resolution, their analyses requires

skills beyond the original-mother eld "geography" and calls for interdisciplinary teams

gathering expertize in computer sciences, mathematics and statistics.


Since the early 1960s, fractal concepts were proposed as models to account for scale-

free dynamics of multiscale phenomena and multifractal analysis has nowadays become a

standard tool in signal/image processing. However, the use of fractal concepts and tools to

analyze city-type data implies to address several critical issues stemming from the nature

and type of data, including heterogeneities, anisotropy, lacunarity,...

Therefore, the main goal of the current project will be to develop, assess and put at

work on real data tools permitting an eective, accurate and relevant analysis of scale-free

and multifractal properties in city-type data. These tools will need to take into account

the binary (point-process like) nature of some such data and also will be orientated toward

multivariate analysis (several images dierent in nature of the same area need to ne analy-

zed jointly). The project thus implies methodological contributions, numerical simulation

assessment and application to real data. The project is thus highly interdisciplinary and

will be conducted in collaboration with expert in urban/city organizations and structures

as well as with mathematicians and image processing teams.

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