I was a Postdoc fellow (until october 2021) in the Probability team of the Université Paris-sud, funded by the project ERC GeoBrown of Jean-Fraçois Le Gall.
    My interests are stochastic processes and integrable systems, especially the ones connecting probabilities with combinatorics.
    I defended my PhD thesis at the Université de Bordeaux, after three years of preparation, under the direction of Jean François Marckert where I was part of the group of enumerative combinatorics, at LaBRI, Université de Bordeaux.
    Before Bordeaux, I completed the Master Class in planar statistical physics organised by Stanislav Smirnov and Hugo Duminil-Copin at the Université de Genève.
    I also finished a Bachelor degree in Mathematical Engineering and a Master degree in Operation research at the University of Chile, where I did my master thesis under the supervision of Daniel Remenik.

  • Articles:

    ● 8. With Avelio Sepulveda. Properties of Tree-decorated planar maps.. In preparation, 2022.

    ● 7. With Jean François Marckert. Almost triangular Markov chains on N. ArXiv Preprint 2109.06549, 2021, 40 pages. Submitted 10/21.

    ● 6. With Jérémie Bettinelli, Nicolás Curien and Avelio Sepulveda. Nonbijective scaling limit of maps via restriction. ArXiv Preprint 2104.12716, 2021, 19 pages. Submitted 05/21.

    ● 5. With Jean François Marckert. Models of random subtrees of a graph. ArXiv Preprint 2102.12738, 2021, 52 pages. Submitted 08/21.

    ● 4. With Jean François Marckert. Aldous-Broder theorem: extension to the non reversible case and new combinatorial proof. To appear in Random Structures and Algorithms, 2021, 18 pages.

    ● 3. With Avelio Sepulveda. Tree-decorated planar maps.. Published in Electronic journal of combinatorics, 2020, 28 pages.

    ● 2. With Amitai Linker and Daniel Remenik. Survival and coexistence for spatial population models with forest fire epidemics. To appear in Annals of Applied Probabilities, 2018, 40 pages.

    ● 1. With Jean François Marckert. Invariant measures of discrete interacting particle systems: Algebraic aspects. Published in ESAIM: Probability and Statistics, 2020, 58 pages.

  • Thesis:

    Some models at the interface of probability and combinatorics : particle systems and maps. (slides)
        Directed by Jean François Marckert, defended the 19th September 2019 at Université de Bordeaux. .

  • Talks:

    ● January 2018. Universidad de Chile, Nucleo milenio Stochastic models of complex and disorder systems.
        Invariant measures of discrete interacting particle systems: Algebraic aspects.
    ● June 2018. LaBRI, Université de Bordeaux, Combinatorics group seminar.
        Invariant measures of discrete interacting particle systems: Algebraic aspects. Slides.
    ● July 2018. 48th Probability Summer School Saint-Flour.
        Invariant measures of discrete interacting particle systems: Algebraic aspects. Slides.
    ● December 2018. Universidad de Chile, Nucleo milenio Stochastic models of complex and disorder systems.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● February 2019. Université Paris-Sud Orsay, Probability group seminar.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● February 2019. JCB 2019, Université de Bordeaux, LaBRI.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● March 2019. École polytechnique, Plateau Saclay Combinatorics Seminar.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● March 2019. ALEA marseille, CIRM.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● April 2019. Journée Cartes, Université Paris 13.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● July 2019. Random Trees and Graphs Summer School, CIRM.
        Survival and coexistence for spatial population models with forest fire epidemics. Slides.
    ● November 2019. IRIF, Enumerative and analytic combinatorics seminar.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● March 2020. Universidad de Chile, Nucleo milenio Stochastic models of complex and disorder systems.
        Non-Bijective scaling limits of planar maps. Slides.
    ● March 2020. USACH, math departament seminar.
        Bijections for tree-decorated maps and applications to random maps. Slides.
    ● January 2021. Journées cartes, Marseille, CIRM.
        Random subtree generation of a given graph. Slides.
    ● April 2021. Chilean probability seminar.
        A new proof of the Aldous-Broder theorem. Slides. Video of the talk (in spanish)

  • Teaching experience:

    Instructor:
              ● Introduction to informatics, Fall 2017, Université de Bordeaux.
              ● Coloration informatics, Fall 2017, Université de Bordeaux.

    Teaching Assistant:
              ● Probabilities, 2012. Universidad de Chile.
              ● Markov Processes, 2013 and 2014 . Universidad de Chile.
              ● Probability and Statistics, 2013, 2014 and 2015. Universidad de Chile.
              ● Stochastic models applied to engineering, 2013 and 2014. Universidad de Chile.
              ● Optimisation: Models and algorithms, 2014 and 2015. Universidad de Chile.
              ● Convexity and applications, 2014. Universidad de Chile.
              ● Stochastic simulation: Theory and laboratory, 2014. Universidad de Chile.
              ● Probability, statistics and combinatorics, Spring 2018. Université de Bordeaux.
              ● Probability, statistics and combinatorics, Spring 2019. Université de Bordeaux.

  • More information

    Detailed CV: French Version (updated 07/19), English Version (Updated 06/21).

    Brief summary of my research: Updated 22/11/2018.

Luis Fredes 2017

Institut de Mathématique d'Orsay
Université Paris-Sud
Bâtiment 307
Bureau 2A18, 2ème étage
91405 ORSAY Cedex
France. Email: lfredescarrasco
                 (symbol)
                 gmail.com

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