Research

Research interests:

  • Stochastic analysis
  • Stochastic partial differential equations
  • Malliavin calculus
  • Approximation methods for stochastic processes.

Publications:

  1. R. M. Balan, D. Nualart, L. Quer-Sardanyons and G. Zheng. The hyperbolic Anderson model: Moment estimates of the Malliavin derivatives and applications. Stochastics and Partial Differential Equations: Analysis and Computations 10 (2022), 757-827.
  2. C. Marinelli and L. Quer-Sardanyons. Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise. Potential Analysis 57 (2022), 243-261.
  3. L.M. Giordano, M. Jolis and L. Quer-Sardanyons. SPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst index. Stochastic Processes and their Applications 130 (2020), no. 12, 7396-7430.
  4. X. Bardina, J.P. Márquez and L. Quer-Sardanyons. Weak approximation of the complex Brownian sheet from a Lévy sheet and applications to SPDEs. Stochastic Processes and their Applications 130 (2020), no. 9, 5735-5767.
  5. R. Anton, D. Cohen and L. Quer-Sardanyons. A fully discrete approximation of the one-dimensional stochastic heat equation. IMA Journal of Numerical Analysis 40 (2020), no. 1, 247-284.
  6. L.M. Giordano, M. Jolis and L. Quer-Sardanyons. SPDEs with fractional noise in space: continuity in law with respect to the Hurst index. Bernoulli 26 (2020), no. 1, 352-386.
  7. R. Balan, L. Quer-Sardanyons and J. Song. Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise. Electronic Journal of Probability 24 (2019), paper no. 106, 1-43.
  8. R. Balan, L. Quer-Sardanyons and J. Song. Hölder continuity for the Parabolic Anderson Model with space-time homogeneous Gaussian noise. Acta Mathematica Scientia 39B (2019), no. 3, 717-730.
  9. R. Balan, M. Jolis, and L. Quer-Sardanyons.  Intermittency for the Hyperbolic Anderson Model with rough noise in space. Stochastic Processes and their Applications 127 (2017), no. 7, 2316-2338.
  10. R. Balan, M. Jolis, and L. Quer-Sardanyons. SPDEs with rough noise in space: Hölder continuity of the solution. Statistics and Probability Letters 119 (2016), 310-316.
  11. D. Cohen and L. Quer-Sardanyons. A fully discrete approximation of the one-dimensional stochastic wave equation. IMA Journal of Numerical Analysis 36 (2016), no. 1, 400-420.
  12. R. Balan, M. Jolis and L. Quer-Sardanyons. SPDEs with affine multiplicative fractional noise in space with index 1/4<H<1/2. Electronic Journal of Probability 20 (2015), no. 54, 36 pp.
  13. C. Marinelli, E. Nualart and L. Quer-Sardanyons. Existence and regularity of the density for the solution to semilinear dissipative parabolic SPDEs. Potential Analysis 39 (2013), no. 3, 287-311.
  14. A. Deya, M. Jolis and L. Quer-Sardanyons. The Stratonovich heat equation: a continuity result and weak approximations. Electronic Journal of Probability 18 (2013), no. 3, 1-34.
  15. L. Quer-Sardanyons. Gaussian upper density estimates for spatially homogeneous SPDEs. Malliavin Calculus and Stochastic Analysis: A Festschrift in Honor of David Nualart, Springer Proceedings in Mathematics & Statistics 34, 2013.
  16. C. Marinelli and L. Quer-Sardanyons. Existence of weak solutions for a class of semilinear stochastic wave equations. SIAM Journal on Mathematical Analysis, 44 (2012), 906-925.
  17. L. Quer-Sardanyons and S. Tindel. Pathwise definition of second order SDEs. Stochastic Processes and their Applications 122 (2012), no. 2, 466-497.
  18. E. Nualart and L. Quer-Sardanyons. Gaussian estimates for the density of the non-linear stochastic heat equation in any space dimension. Stochastic Processes and their Applications 122 (2012), no. 1, 418-447.
  19. R.C. Dalang and L. Quer-Sardanyons. Stochastic integrals for spde’s: a comparison. Expositiones Mathematicae 29 (2011), 67-109.
  20. D. Nualart and L. Quer-Sardanyons. Optimal Gaussian density estimates for a class of stochastic equations with additive noise. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 (2011), no. 1, 25-34.
  21. X. Bardina, M. Jolis and L. Quer-Sardanyons. Weak convergence for the stochastic heat equation driven by Gaussian white noise. Electronic Journal of Probability 15 (2010), 1267-1295.
  22. D. Nualart and L. Quer-Sardanyons. Gaussian density estimates for solutions to quasi-linear stochastic partial differential equations. Stochastic Processes and their Applications 119 (2009), 3914-3938.
  23. D. Nualart and L. Quer-Sardanyons. Existence and smoothness of the density for spatially homogeneous SPDEs. Potential Analysis 27 (2007), 281-299.
  24. L. Quer-Sardanyons and S. Tindel. The 1-d stochastic wave equation driven by a fractional Brownian sheet. Stochastic Processes and their Applications 117 (2007), 1448-1472.
  25. L. Quer-Sardanyons and M. Sanz-Solé. Space semi-discretisations for a stochastic wave equation. Potential Analysis 24 (2006), no. 4, 303-332.
  26. L. Quer-Sardanyons and M. Sanz-Solé. A stochastic wave equation in dimension 3: smoothness of the law. Bernoulli  10  (2004),  no. 1, 165-186.
  27. L. Quer-Sardanyons and M. Sanz-Solé. Absolute continuity of the law of the solution to the 3-dimensional stochastic wave equation. Journal of Functional Analysis  206 (2004), no. 1, 1-32.
  28. L. Quer-Sardanyons and M. Sanz-Solé. Existence of density for the solution to the three-dimensional stochastic wave equation. RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat.  97  (2003),  no. 1, 63-68.