Xavier Bardina

PhD in Mathematics from UAB
Research areas: Probability

Member of the research group on Stochastic Processes at Universitat Autònoma de Barcelona.

Main researcher of the project Analysis and applications of Gaussian processes and Lévy processes.

Research lines

  • Stochastic processes
  • Weak convergence of Gaussian processes
  • Fractional Brownian motion
  • Stochastic models for biological systems

Selected publications

  • X. Bardina, D. Bascompte, C. Rovira, S. Tindel. (2013) An analysis of a stochastic model for bacteriophage systems. Math. Biosci. Vol 241, n. 1, 99-108.
  • X. Bardina, K. Es-Sebaiy, C.A.Tudor. (2010) Approximation of the finite dimensional distributions of multiple fractional integrals, Journal of Mathematical Analysis and Applications, 369(2), 694-711.
  • X. Bardina, I. Nourdin, C. Rovira, S. Tindel. (2010) Weak approximation of a fractional SDE. Stochastic Processes and their Applications, Vol 120, n. 1, 39-65.
  • X. Bardina, M. Jolis, L. Quer-Sardanyons. (2010) Weak convergence to the solution of the heat equation with Gaussian white noise. Electronic Journal of Probability, 15(39), 1267-1295.
  • X. Bardina, C. Rovira. (2010) Integration with respect to local time and Itô’s formula for smooth nondegenerate martingales. Publicacions Matemàtiques, 54(1), 187-208.