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  • Measuring and Visualizing P... Measuring and Visualizing Patterns of Ethnic Concentration: The Role of Distortion Coefficients
    Bézenac, Cécile; Clark, William A. V.; Olteanu, Madalina ... Geographical analysis, January 2022, 2022-01-00, 2022-01, Volume: 54, Issue: 1
    Journal Article
    Peer reviewed

    The paper provides numerical measures and visualizations of urban segregation based on a new index, the Distortion coefficient. Distortion coefficients are derived from trajectories of contact with ...
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2.
  • L’épuration professionnelle... L’épuration professionnelle du monde du spectacle à la Libération
    Karine Le Bail; Julien Randon-Furling Annales : histoire, sciences sociales (French ed.), 04/2024, Volume: 78, Issue: 4
    Journal Article
    Peer reviewed

    Rédigé par une historienne et un spécialiste de modélisation mathématique, cet article explore les enjeux épistémologiques de la collaboration interdisciplinaire à travers une étude de cas : ...
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  • Multidimensional urban segr... Multidimensional urban segregation: toward a neural network measure
    Olteanu, Madalina; Hazan, Aurélien; Cottrell, Marie ... Neural computing & applications, 12/2020, Volume: 32, Issue: 24
    Journal Article
    Peer reviewed
    Open access

    We introduce a multidimensional, neural network approach to reveal and measure urban segregation phenomena, based on the self-organizing map algorithm (SOM). The multidimensionality of SOM allows one ...
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  • Optimization in First-Passa... Optimization in First-Passage Resetting
    De Bruyne, B; Randon-Furling, J; Redner, S Physical review letters, 07/2020, Volume: 125, Issue: 5
    Journal Article
    Peer reviewed

    We investigate classic diffusion with the added feature that a diffusing particle is reset to its starting point each time the particle reaches a specified threshold. In an infinite domain, this ...
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  • On a first hit distribution... On a first hit distribution of the running maximum of Brownian motion
    Randon-Furling, Julien; Salminen, Paavo; Vallois, Pierre Stochastic processes and their applications, 08/2022, Volume: 150
    Journal Article
    Peer reviewed
    Open access

    Let (St)t≥0 be the running maximum of a standard Brownian motion (Bt)t≥0 and Tm≔inf{t;mSt<t},m>0. In this note we calculate the joint distribution of Tm and BTm. The motivation for our work comes ...
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  • Revealing Multiscale Segreg... Revealing Multiscale Segregation Effects from Fine-Scale Data: A Case Study of Two Communities in Paris
    Olteanu, Madalina; de Bezenac, Cecile; Clark, William ... Spatial demography, 12/2020, Volume: 8, Issue: 3
    Journal Article
    Peer reviewed

    Fine-scale data is particularly important for the analysis of multiscalar segregation phenomena. Using dis-aggregated data from an EU data challenge, we show here how to apply a recently developed ...
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  • Convex Hulls of Several Mul... Convex Hulls of Several Multidimensional Gaussian Random Walks
    Randon-Furling, J.; Zaporozhets, D. Journal of mathematical sciences (New York, N.Y.), 05/2024, Volume: 281, Issue: 1
    Journal Article
    Peer reviewed

    Explicit formulas for the expected volume and expected number of facets of the convex hull of several multidimensional Gaussian random walks are derived in terms of the Gaussian persistence ...
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  • L’épuration professionnelle... L’épuration professionnelle du monde du spectacle à la Libération
    Le Bail, Karine; Randon-Furling, Julien Annales : histoire, sciences sociales (French ed.), 12/2023, Volume: 78, Issue: 4
    Journal Article
    Peer reviewed

    Résumé Rédigé par une historienne et un spécialiste de modélisation mathématique, cet article explore les enjeux épistémologiques de la collaboration interdisciplinaire à travers une étude de cas : ...
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  • Segregation through the mul... Segregation through the multiscalar lens
    Olteanu, Madalina; Randon-Furling, Julien; Clark, William A. V. Proceedings of the National Academy of Sciences - PNAS, 06/2019, Volume: 116, Issue: 25
    Journal Article
    Peer reviewed
    Open access

    We introduce a mathematical framework that allows one to carry out multiscalar and multigroup spatial exploratory analysis across urban regions. By producing coefficients that integrate information ...
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