Now showing items 61-69 of 69

    • Bressaud, X.; Maass Sepúlveda, Alejandro; Martínez Aguilera, Servet; San Martín Aristegui, Jaime (2006)
      We study the standard property of the natural filtration associated to a 0–1 valued stationary process. In our main result we show that if the process has summable memory decay, then the associated filtration is standard. ...
    • Bressaud, Xavier; Maass Sepúlveda, Alejandro; Martínez Aguilera, Servet; San Martín, J. (INST MATHEMATICAL STATISTICS, 2006-07)
      We study the standard property of the natural filtration associated to a 0-1 valued stationary process. In our main result we show that if the process has summable memory decay, then the associated filtration is standard. ...
    • Hart, Andrew; Martínez Aguilera, Servet (2011)
    • Martínez Aguilera, Servet; Nagel, Werner (Polymat, 2015)
      For the STIT tessellation process, which is becoming one of the reference model in stochastic geometry for fracture modeling or cell division, we study several constructions in a window of R-l: A new method is provided ...
    • Martínez Aguilera, Servet (Cambridge University Press, 2014)
      Let (Yt : t > 0) be a STIT tessellation process and a > 1. We prove that the random sequence (anYan : n [épsilon] Z) is a non-anticipating factor of a Bernoulli shift. We deduce that the continuous time process (atYat : ...
    • Barbieri Lemp, Sebastián Andrés (Universidad de Chile, 2014)
      La presente memoria tiene como objetivo estudiar subshifts generados por sustituciones multidimensionales. Los sistemas dinámicos generados por sustituciones unidimensionales han sido ampliamente estudiados y existe una ...
    • Dellacherie Lefebvre, Claude; Martínez Aguilera, Servet; San Martín Aristegui, Jaime (2009)
      In this article we study which infinite matrices are potential matrices. We tackle this problem in the ultrametric framework by studying infinite tree matrices and ultrametric matrices. For each tree matrix, we show the ...
    • Linker Groisman, Amitai Samuel (Universidad de Chile, 2014)
      n la presente memoria se estudian las distribuciones cuasi-estacionarias (q.s.d.) de un proceso \hat{Y} de nacimiento y muerte a tiempo continuo. Este proceso es absorbido al alcanzar una cantidad determinada de individuos, ...
    • Maturana Cornejo, Hugo Andrés (Universidad de Chile, 2023)
      En este trabajo de tesis se estudia la dinámica simbólica en grupos finitamente generados. La motivación inicial de esta investigación fueron los resultados obtenidos por S. Piantadosi [42] en dinámica simbólica de grupos ...