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SANDRA    PALAU


I am an Associated Researcher C in the Department of Probability and Statistics, at IIMAS, UNAM.

From 2017 to 2018, I was a Postdoctoral Newton International Fellow in Pro-L@B at the University of Bath, working with Andreas Kyprianou.

From 2012 to 2016, I was a PhD student at CIMAT, under the supervision of Juan Carlos Pardo and Andreas Kyprianou.

My research interests are in probability theory. Specifically, I am interested in branching process in random environment, multi-type branching processes, self-similar Markov processes, Lévy processes, mathematical biology and interacting particles systems.

My Curriculum Vitae.

Seminarios



Seminario de Probabilidad Hispanohablante

Este seminario nació durante la pandemia de COVID-19 como una iniciativa para reunir de manera online a los investigadores en Probabilidad de América Latina y España. Desde Junio 2020 a Diciembre 2021, reunimos a la comunidad hispanohablante alrededor de doctorantes, investigadores jóvenes y galardonados.

El Seminario de Probabilidad Hispanohablante se llevó a cabo todos los lunes a las 19:15 UTC (13:15 hrs México) por zoom.


Seminario de Probabilidad para estudiantes de Posgrado

El seminario esta enfocado para estudiantes de últimos semestre de maestría que quieren hacer una tesis o incluso un doctorado en probabilidad y estadística y están buscando diferentes opciones. La idea del seminario es que sean charlas accesibles cuyo principal propósito es que los estudiantes conozcan diversas áreas activas de investigación en Probabilidad. Cada quince días, un investigador o investigadora presentará una platica de 50 minutos de algún trabajo de una manera accesible.

El Seminario de Probabilidad para estudiantes de Posgrado se presentará en vivo los martes cada quince días a las 9am por Youtube.

Publications and Preprints



Preprints

  1. On multitype Branching Processes with Logistic Competition. (with M.C. Fittipaldi).
    ArXiv: 2203.09701 (2022).
  2. Plasmid stability in fluctuating environments: population genetics of multi-copy plasmids. (with V. Miro Pina, JCR Hernández-Beltran, A. Siri-Jégousse, R. Peña-Miller and A. González Casanova).
    bioRxiv: 10.1101/2022.03.15.484385 (2022).
  3. Coalescent point process of a branching process in varying environment. (with A. Blancas).
    ArXiv: 2202.07084 (2022).

Publications

  1. Oscillatory attraction and repulsion from a subset of the unit sphere or hyperplane for isotropic stable Lévy processes. (with M. Kwásniki, A. Kyprianou and T. Saizmaa ).
    In: Chaumont L., Kyprianou A.E. (eds). A Lifetime of Excursions Through Random Walks and Lévy Processes. Progress in Probability, 2021, vol 78. Birkhäuser, Cham. ArXiv.
  2. Asymptotic behavior of projections of supercritical multi-type continuous state and continuous time branching processes with immigration. (with M. Barczy and G. Pap).
    Advances in Applied Probability, 2021, 53(4), pp 1023-1060. ArXiv.
  3. Yaglom's limit for critical Galton-Watson processes in varying environment: A probabilistic approach. (with N. Cardona-Tobón).
    Bernoulli, 2021, 27(3), pp 1643–1665. ArXiv.
  4. Attraction to and repulsion from a subset of the unit sphere for isotropic stable Lévy processes. (with A. Kyprianou and T. Saizmaa ).
    Stochastic Processes and their Applications, 2021, 137, pp 272–293. ArXiv.
  5. Backbone decomposition of multitype superprocesses. (with D. Fekete, J.C. Pardo, and J.L. Pérez).
    Journal of Theoretical Probability, 2021, 34, pp 1149–1178. ArXiv.
  6. A Note on Characterizing Tightness of Random Sets of Càdlàg Paths. (with N. Freeman).
    Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore. Genealogies of Interacting Particle Systems, pp. 295-313, 2020.
  7. Almost sure, L1- and L2-growth behavior of supercritical multi-type continuous state and continuous time branching processes with immigration. (with M. Barczy and G. Pap).
    Sci. China Math. October 2020, Vol. 63(10), pp 2089-2116. ArXiv.
  8. Law of large numbers for supercritical superprocesses with non-local branching. (with T. Yang).
    Stochastic Processes and their Applications, Volume 130, Issue 2, February 2020, pp 1074-1102. ArXiv.
  9. Almost sure growth of supercritical multi-type continuous-state branching process (with A. Kyprianou and Y.-X. Ren).
    ALEA, Lat. Am. J. Probab. Math. Stat., 2018, 15, pp 409–428. ArXiv.
  10. Extinction properties of multi-type continuous-state branching processes (with A. Kyprianou).
    Stochastic Processes and their Applications, Volume 128, Issue 10, October 2018, pp 3466-3489. ArXiv.
  11. Asymptotic behaviour of exponential functionals of Lévy processes with applications to random processes in random environment. (with J.C. Pardo and C. Smadi).
    ALEA Lat. Am. J. of Probab. Math. Stat., 2016, 13, pp 1235-1258. ArXiv.
  12. Branching processes in a Lévy random environment. (with J.C. Pardo).
    Acta Applicandae Mathematicae, February 2018, Volume 153, Issue 1, pp 55–79. ArXiv.
  13. Continuous state branching processes in random environment: The Brownian case. (with J.C. Pardo).
    Stochastic Processes and their Applications, Volume 127, Issue 3, March 2017, pp 957-994. ArXiv.

Theses

Talks and pláticas en español



Talks

  • Branching processes: forward and backward. One World Probability Seminar, 2021.
  • Galton Watson process in varying environment. The sixth Bath-Beijing-Paris meeting, 2021.
  • Coalescent random walks and tightness. One World Probability, 2020.

    Pláticas en español

  • Atracción y repulsión de un proceso de Levy estable a un conjunto de la esfera. V encuentro conjunto Sociedad Matemática Mexicana y Real Sociedad Matemática Española, 2021.
  • Procesos de ramificación. 52º Congreso Nacional de la Sociedad Matemática Mexicana, 2019.
  • Procesos de ramificación. Coloquio del Instituto de Matemáticas, UNAM, 2019.
  • Comportamiento asintótico de los procesos de ramificación múltiple. Seminario de Probabilidad y Procesos Estocásticos de la UNAM, 2018.
  • Collaborators


    Mátyás Barczy,
    Airam Blancas,
    Natalia Cardona Tobón,
    Dorka Fekete,
    Maria Clara Fittipaldi,
    Nic Freeman,
    Adrian González Casanova,
    Charlie Hernández Beltran,
    Mateusz Kwásniki,
    Andreas Kyprianou,
    Veronica Miro Pina,
    Juan Carlos Pardo,
    Gyula Pap,
    Rafael Peña Miller,
    Jose Luis Pérez Garmendia,
    Yanxia Ren,
    Tsogzolmaa Saizmaa ,
    Arno Siri Jégousse,
    Charline Smadi,
    Ting Yang.

    Contact Details



    Sandra Palau

    Department of Probability and Statistics

    IIMAS, UNAM

    Apartado Postal 126. 01000 México, D.F. MEXICO

    sandra@sigma.iimas.unam.mx