Lluís Quer-Sardanyons

Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra (Barcelona)
Catalonia, Spain
Tel. 0034 935814542
Fax 0034 935812790
Email: quer[
at sign
]mat.uab.cat
     
 

             
   

Current position:

Since 2007 September 15th, I am a Tenure Track Lecturer at the Departament de Matemàtiques of the Universitat Autònoma de Barcelona.


                                                 
                      Teaching 2009-2010:
    • Spring 2010:               
      • Probability theory (Degree in Statistics). 
      • Inferential Statistics (Degree in Business Administration - Law).
                                     

    Research:

    • Stochastic analysis and Malliavin calculus.
    • Stochastic partial differential equations: existence and uniqueness of solutions, path properties, existence and smoothness of the density, Gaussian estimates for the density.

      Publications:

      • Existence of density for the solution to the three-dimensional stochastic wave equation (with Marta Sanz-Solé), RACSAM Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales Serie A Mat.  97  (2003),  no. 1, 63-68.

      • Absolute continuity of the law of the solution to the 3-dimensional stochastic wave equation (with Marta Sanz-Solé), Journal of Functional Analysis 206 (2004),  no. 1, 1-32.

      • A stochastic wave equation in dimension 3: smoothness of the law (with Marta Sanz-Solé), Bernoulli 10 (2004), no. 1, 165-186.
      • Space semi-discretisations for a stochastic wave equation (with Marta Sanz-Solé), Potential Analysis 24 (2006), no. 4, 303-332. 
      • The 1-d stochastic wave equation driven by a fractional Brownian sheet (with Samy Tindel), Stochastic Processes and their Applications 117 (2007), 1448-1472. 
      • Existence and smoothness of the density for spatially homogeneous SPDEs (with David Nualart), Potential Analysis 27 (2007), 281-299.
      • Gaussian density estimates for solutions to quasi-linear stochastic partial differential equations (with David Nualart), Stochastic Processes and their Applications 119 (2009), 3914-3938.
                                   

                                                                      

      Preprints:
      • Weak convergence for the stochastic heat equation driven by Gaussian white noise (with Xavier Bardina and Maria Jolis), arXiv:0907.2508v1
      • Optimal Gaussian density estimates for a class of stochastic equations with additive noise (with David Nualart), arXiv:0912.3707v1 
      • Stochastic integrals for spde's: a comparison (with Robert C. Dalang), arXiv:1001.0856v1

      Work in progress:
      • Pathwise definition of elliptic SPDEs in dimension 1 (with Samy Tindel).
      • Existence of weak solutions for a class of semilinear stochastic wave equations (with Carlo Marinelli).
      • Gaussian density estimates for spatially homogeneous SPDEs with multiplicative noise (with Eulàlia Nualart).

      Some presentations in seminars and conferences:


      Curriculum

      Barcelona Probability Seminar