Publicacions:

Publicacions de recerca
Research publications
Pre-publicacions de recerca
Research prepublications
Publicacions docents
Teaching publications

Publicacions de divulgació
Other
publications


Prepublications:


Approximations of a complex Brownian motion with processes constructed from a process with independent increments
Xavier Bardina, Carles Rovira
pdf file     2013


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Publications:
A d-dimensional Brownian motion as a weak limit from a one-dimensional Poisson process
Xavier Bardina, Carles Rovira
Lithuanian Mathematical Journal 53 (1) 17-26 2013

An analysis of a stochastic model for bacteriophage systems
Xavier Bardina, David Bascompte, Carles Rovira, Samy Tindel
Mathematical Biosciences 241 99-108 2013

An Extension of bifractional Brownian motion
Xavier Bardina, Khalifa Es-Sebaiy
Communications on Stochastic Analysis 5(2) 333-340 2011

Approximation of the finite dimensional distributions of multiple fractional integrals
Xavier Bardina, Khalifa Es-Sebaiy, Ciprian A.Tudor
Journal of Mathematical Analysis and Applications 369(2) 694-711 2010

Weak approximation of a fractional SDE
Xavier Bardina, Ivan Nourdin, Carles Rovira, Samy Tindel
Stochastic Processes and their Applications 120(1) 39-65 2010

Weak convergence to the solution of the heat equation with Gaussian white noise
Xavier Bardina, Maria Jolis, Lluís Quer-Sardanyons
Electronic Journal of Probability 15(39) 1267-1295 2010

Weak approximation of fractional SDEs: the Donsker setting
Xavier Bardina, Carles Rovira, Samy Tindel
Electronic Communications in Probability 15 314-329 2010

Weak convergence towards two independent Gaussian processes from a unique Poisson process
Xavier Bardina, David Bascompte
Collectanea Mathematica 61(2) 191-204 2010

Integration with respect to local time and Itô's formula for smooth nondegenerate martingales
Xavier Bardina, Carles Rovira
Publicacions Matemàtiques 54(1) 187-208 2010

On the convergence to the multiple Wiener-Itô integral
Xavier Bardina, Ciprian Tudor, Maria Jolis
Bulletin des Sciences Mathématiques 133 257-271 2009

On Itô's formula for elliptic diffusion processes
Xavier Bardina, Carles Rovira
Bernoulli 13(3) 820-830 2007

The law of a stochastic integral with two independent fractional Brownian motions
Xavier Bardina, Ciprian Tudor
Boletín de la Sociedad Matemática Mexicana 13(1)   2007

Statistical models to study subtoxic concentrations for some standard mutagens in three colon cancer cell lines
Xavier Bardina, Laura Fernández, Elisabet Piñeiro, Jordi Surrallés, Antonia Velázquez
SORT 30(2) 193-204 2006

Multiple fractional integral with Hurst parameter less than 1/2
Xavier Bardina, Maria Jolis
Stochastic Processes and their Applications 116 (3) 463-479 2006

Approximation in law to the d-parameter fractional Brownian sheet based on the functional invariance principle
Xavier Bardina, Carme Florit
Revista Matemática Iberoamericana 21 (3) 1037-1052 2005

The p-spin interaction model with external field
Xavier Bardina, David Màrquez-Carreras, Carles Rovira, Samy Tindel
Potential Analysis 21 (4) 311-362 2004

Higher order expansions for the overlap of the SK model
Xavier Bardina, David Màrquez-Carreras, Carles Rovira, Samy Tindel
Proceedings Ascona. Progress in Probability. Birkhäuser

58

21-43

2004

Weak convergence to the fractional Brownian sheet and other two parameter Gaussian processes
Xavier Bardina, Maria Jolis, Ciprian A. Tudor
Statistics and Probabiltity Letters 65 (4) 317-329 2003

Convergence in law to the multiple fractional integral
Xavier Bardina, Maria Jolis, Ciprian A.Tudor
Stochastic Processes and their Applications 105 (2) 315-344 2003

Onsager Machlup functional for stochastic evolution equations in a class of norms
Xavier Bardina, Carles Rovira, Samy Tindel
Stochastic Analysis and Applications 21 (6) 1231-1253 2003

Onsager machlup functional for stochastic evolution equations
Xavier Bardina, Carles Rovira, Samy Tindel
Annales de l'Institut Henri Poincaré 39 (1) 69-93 2003

Asymptotic evaluation of the Poisson measures for tubes around jump curves
Xavier Bardina, Carles Rovira, Samy Tindel
Applicationes Mathematicae 29 (2) 145-156 2002

Estimation of the density of hypoelliptic diffusion processes with application to an extended Itô's formula
Xavier Bardina, Maria Jolis
Journal of Theoretical Probability 15 (1) 223-247 2002

The complex Brownian motion as a weak limit of processes constructed from a Poisson process
Xavier Bardina
Stochastic Analysis and Related Topics VII. Proceedings of the 7th Silivri Workshop, Kusadasi 1998. Progress in Probability Birkhäuser  


149-158



2001

Weak convergence to the multiple Stratonovich integral
Xavier Bardina, Maria Jolis
Stochastic Processes and their Applications 90 (2) 277-300 2000

Weak approximation of the Wiener process from a Poisson process: the multidimensional parameter set case
Xavier Bardina, Maria Jolis, Carles Rovira
Statistics and Probability Letters 50 (3) 245-255 2000

Weak approximation of the Brownian Sheet from a Poisson process in the plane
Xavier Bardina, Maria Jolis
Bernoulli 6 (4) 653-665 2000

An extension of Itô's formula for elliptic diffusion processes
Xavier Bardina, Maria Jolis
Stochastic Processes and their Applications 69 (1) 83-109 1997

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Publicacions de divulgació:

Rècords: Quina és la probabilitat d'obtenir-ne? Quan apareixen? Quins valors prenen?
Xavier Bardina
Butlletí de la Societat Catalana de Matemàtiques
22(1)
5-22 2007

Quants rècords veurem al llarg de la nostra vida?
Xavier Bardina
Materials Matemàtics
vol.2007(3)
14pp 2007

Caminant a l'atzar tots els camins porten a Roma.
Xavier Bardina
Materials Matemàtics
vol.2008(3)
29pp 2008

Matemáticas y evaluación
Xavier Bardina, Eduardo Liz
Materials Matemàtics
vol.2011(6)
19pp 2011


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Publicacions docents:


Càlcul de Probabilitats
Xavier Bardina
Servei de Publicacions, U.A.B.
Materials 139
ISBN 84-490-2348-3 2004

Estadística: un curs introductori per a estudiants de ciències socials i humanes. Volum 2
Xavier Bardina, Mercè Farré, Pedro López-Roldán
Servei de Publicacions, U.A.B.
Materials 166
ISBN 84-490-2425-0 2005


Estadística Descriptiva
Xavier Bardina, Mercè Farré
Servei de Publicacions, U.A.B.
Manuals 54
ISBN 978-84-490-2590-7 2009


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