Publicacions
- Bardina, Xavier; Rovira, Carles Weak convergence to a class of two-parameter Gaussian processes from a Lévy sheet. Math. Commun., 2021, 26(2): 131-150.
- Bardina, Xavier; Rovira, Carles On the strong convergence of multiple ordinary integrals to multiple Stratonovich integrals Publ. Mat., 2021, 65(2): 859-876.
- Bardina, Xavier; Ferrante, Marco; Rovira, Carles A stochastic epidemic model of COVID-19 disease AIMS Mathematics, 2020, 5(6): 7661-7677.
- Bardina, Xavier; Márquez, Juan Pablo; Quer-Sardanyons, Lluís Weak approximation of the complex Brownian sheet from a Lévy sheet and applications to SPDEs. Stochastic Process. Appl. 130 (2020), no. 9, 5735–5767. 60F17 (60G15 60H15)
- Bardina, Xavier; Ferrante, Marco; Rovira, Carles Strong approximations of Brownian sheet by uniform transport processes. Collect. Math. 71 (2020), no. 2, 319–329. 60G60 (60F15 60F17)
- Bardina, Xavier; Cuadrado, Sílvia; Rovira, Carles Coinfection in a stochastic model for bacteriophage systems. Discrete Contin. Dyn. Syst. Ser. B 24 (2019), no. 12, 6607–6620. 92C60 (34C60 34D05 34F05 60H10 92D25)
- Bardina, Xavier; Ferrante, Marco; Rovira, Carles Stochastic epidemic SEIRS models with a constant latency period. Mediterr. J. Math. 14 (2017), no. 4, Paper No. 179, 17 pp. 92D30 (60H10)
- Bardina, Xavier; Binotto, Giulia; Rovira, Carles The complex Brownian motion as a strong limit of processes constructed from a Poisson process. J. Math. Anal. Appl. 444 (2016), no. 1, 700–720. 60J65 (60B10 60F05 60F15 60G15 60G55)
- Bardina, Xavier; Rovira, Carles Approximations of a complex Brownian motion by processes constructed from a Lévy process. Mediterr. J. Math. 13 (2016), no. 1, 469–482. 60F17 (60G15 60G51)
- Bardina, Xavier; Rovira, Carles A d-dimensional Brownian motion as a weak limit from a one-dimensional Poisson process. Lith. Math. J. 53 (2013), no. 1, 17–26. 60F17 (60G55 60J65)
- Bardina, X.; Bascompte, D.; Rovira, C.; Tindel, S. An analysis of a stochastic model for bacteriophage systems. Math. Biosci. 241 (2013), no. 1, 99–108. 92D25
- Bardina, Xavier; Es-Sebaiy, Khalifa An extension of bifractional Brownian motion. Commun. Stoch. Anal. 5 (2011), no. 2, 333–340. 60G22
- Bardina, Xavier; Jolis, Maria; Quer-Sardanyons, Lluís Weak convergence for the stochastic heat equation driven by Gaussian white noise. Electron. J. Probab. 15 (2010), no. 39, 1267–1295. 60B12 (60G60 60H15)
- Bardina, Xavier; Rovira, Carles; Tindel, Samy Weak approximation of fractional SDEs: the Donsker setting. Electron. Commun. Probab. 15 (2010), 314–329. 60H10 (60G22 60H05)
- Bardina, Xavier; Bascompte, David Weak convergence towards two independent Gaussian processes from a unique Poisson process. Collect. Math. 61 (2010), no. 2, 191–204. 60G15 (60F05 60G22)
- Bardina, Xavier; Es-Sebaiy, Khalifa; Tudor, Ciprian A. Approximation of the finite dimensional distributions of multiple fractional integrals. J. Math. Anal. Appl. 369 (2010), no. 2, 694–711. 60G22 (60F05 60F17 60H05 65C30)
- Bardina, Xavier; Rovira, Carles Integration with respect to local time and Itô's formula for smooth nondegenerate martingales. Publ. Mat. 54 (2010), no. 1, 187–208. 60H05 (60G44 60J55)
- Bardina, X.; Nourdin, I.; Rovira, C.; Tindel, S. Weak approximation of a fractional SDE. Stochastic Process. Appl. 120 (2010), no. 1, 39–65. 60H10 (60G22 60H05)
- Bardina, Xavier; Jolis, Maria; Tudor, Ciprian A. On the convergence to the multiple Wiener-Itô integral. Bull. Sci. Math. 133 (2009), no. 3, 257–271. 60H05 (60B10 60H10)
- Bardina, Xavier What is the probability of obtaining records, when do they arise, and what values do they take? (Catalan) Butl. Soc. Catalana Mat. 22 (2007), no. 1, 5–22, 111. 60G70
- Bardina, Xavier; Tudor, Ciprian A. The law of a stochastic integral with two independent fractional Brownian motions. Bol. Soc. Mat. Mexicana (3) 13 (2007), no. 1, 231–242. 60E10 (60G15 60H05)
- Bardina, Xavier; Rovira, Carles On Itô's formula for elliptic diffusion processes. Bernoulli 13 (2007), no. 3, 820–830. 60H05 (60J60)
- Bardina, Xavier; Fernández, Laura; Piñeiro, Elisabet; Surrallés, Jordi; Velázquez, Antonia Statistical model to study subtoxic concentrations for some standard mutagens in three colon cancer cell lines. SORT 30 (2006), no. 2, 193–204. 62P10 (62J05)
- Bardina, Xavier; Jolis, Maria Multiple fractional integral with Hurst parameter less than 1/2. Stochastic Process. Appl. 116 (2006), no. 3, 463–479. 60H05 (26A42 58J65 60H30 60J65)
- Bardina, Xavier; Florit, Carme Approximation in law to the d-parameter fractional Brownian sheet based on the functional invariance principle. Rev. Mat. Iberoamericana 21 (2005), no. 3, 1037–1052. 60G15 (60F17)
- Bardina, Xavier; Márquez-Carreras, David; Rovira, Carles; Tindel, Samy Higher order expansions for the overlap of the SK model. Seminar on Stochastic Analysis, Random Fields and Applications IV, 21–43, Progr. Probab., 58, Birkhäuser, Basel, 2004. 82B27 (60G15 60G60 60K35 82B44)
- Bardina, Xavier; Márquez-Carreras, David; Rovira, Carles; Tindel, Samy The pp-spin interaction model with external field. Potential Anal. 21 (2004), no. 4, 311–362. 82B44 (60G15)
- Bardina, Xavier; Jolis, Maria; Tudor, Ciprian A. Weak convergence to the fractional Brownian sheet and other two-parameter Gaussian processes. Statist. Probab. Lett. 65 (2003), no. 4, 317–329. 60G15
- Bardina, Xavier; Rovira, Carles; Tindel, Samy Onsager Machlup functional for stochastic evolution equations in a class of norms. Stochastic Anal. Appl. 21 (2003), no. 6, 1231–1253. 60H15 (35R60 82C31)
- Bardina, Xavier; Jolis, Maria; Tudor, Ciprian A. Convergence in law to the multiple fractional integral. Stochastic Process. Appl. 105 (2003), no. 2, 315–344. 60F05 (60G15 60H05)
- Bardina, Xavier; Rovira, Carles; Tindel, Samy Onsager-Machlup functional for stochastic evolution equations. Ann. Inst. H. Poincaré Probab. Statist. 39 (2003), no. 1, 69–93. 60H10 (58J65)
- Bardina, Xavier; Rovira, Carles; Tindel, Samy Asymptotic evaluation of the Poisson measures for tubes around jump curves. Appl. Math. (Warsaw) 29 (2002), no. 2, 145–156. 60J75 (60F10)
- Bardina, Xavier; Jolis, Maria Estimation of the density of hypoelliptic diffusion processes with application to an extended Itô's formula. J. Theoret. Probab. 15 (2002), no. 1, 223–247. 60H10 (35B45 35R60 60H07)
- Bardina, X. The complex Brownian motion as a weak limit of processes constructed from a Poisson process. Stochastic analysis and related topics, VII (Kusadasi, 1998), 149–158, Progr. Probab., 48, Birkhäuser Boston, Boston, MA, 2001. 60J65 (60G55)
- Bardina, Xavier; Jolis, Maria Weak convergence to the multiple Stratonovich integral. Stochastic Process. Appl. 90 (2000), no. 2, 277–300. 60H05 (60F17)
- Bardina, Xavier; Jolis, Maria; Rovira, Carles Weak approximation of the Wiener process from a Poisson process: the multidimensional parameter set case. Statist. Probab. Lett. 50 (2000), no. 3, 245–255. 60F17
- Bardina, Xavier; Jolis, Maria Weak approximation of the Brownian sheet from a Poisson process in the plane. Bernoulli 6 (2000), no. 4, 653–665. 60G60 (60F17)
- Bardina, Xavier; Jolis, Maria An extension of Ito's formula for elliptic diffusion processes. Stochastic Process. Appl. 69 (1997), no. 1, 83–109. 60H05 (60H07)
