I am presently a post-doc working in collaboration with professor Leonid Mytnik at the Israel Institute of Technology - Technion. My present research project investigates the (multi)fractal geometry of *continuous random trees* and measure-valued processes such as *Lévy super-Brownian motion*. I am happily working on these subjects thanks to a joined fellowship of the Technion and the French Embassy in Israël.

From 2010 to 2013, I did my Ph.D. at the École Centrale Paris, in the MAS laboratory, under the supervision of professor Erick Herbin. My thesis was primarily focused on the use of a (very!) analytical framework named *2-microlocal analysis* in probability theory, and investigate sample path properties of stochastic processes such as *multifractional Brownian motion* and *Lévy processes* in this frame. As the former was obviously not cumbersome enough, I happened to mix it with a bit of multifractal analysis to study nice classes of processes such *linear fractional stable motion*. For *epsilon* lovers and fans of fractional operators, you may find the full manuscript here.

Before my short academic life, I obtained in 2010 a MSc degree in Probability and Statistics from University Paris XI - Orsay. I also graduated from the engineering school École Centrale Paris with a MSc in Applied Mathematics during the same year.

A full C.V. is also available here.

Probability theory • fractal geometry • local regularity • 2-microlocal analysis • multifractal analysis • (multi)fractional processes • continuous random trees • superprocesses

My research projects in probability theory led to the following publications and preprints the last few years (see the Publications page for more details).

- Paul Balança. Uniform multifractal structure of stable trees.
*Submitted*,**2016**. - Paul Balança and Leonid Mytnik. Singularities of stable super-Brownian motion.
*Preprint*,**2016**. - Paul Balança. Image sets of fractional Brownian sheets.
*Submitted*,**2015**. - Paul Balança. Some sample path properties of multifractional Brownian motion.
*Stochastic Process. Appl.*,**2015**. - Paul Balança. Fine regularity of Lévy processes and linear (multi)fractional stable motion.
*Electron. J. Probab.*,**2014**. - Paul Balança. An increment type set-indexed Markov property.
*J. Theoret. Probab.*,**2014**. - Paul Balança and Erick Herbin. A set-indexed Ornstein-Uhlenbeck process.
*Electron. Commun. Probab.*,**2012**. - Paul Balança and Erick Herbin. 2-microlocal analysis of martingales and stochastic integrals.
*Stochastic Process. Appl.*,**2012**.

I also spent some time working on medical image processing during an internship in the Computational Biomedicine Lab, University of Houston.

- D. Chittajallu, P. Balança and I. Kakadiaris. Automatic delineation of the inner thoracic region in non-contrast CT data.
*Engineering in Medicine and Biology Society (EMBC). Annual International Conference of the IEEE*,**2009**. - R. Yalamanchili, D. Chittajallu, P. Balança, B. Tamarappoo, D. Berman, D. Dey and I. Kakadiaris. Automatic segmentation of the diaphragm in non-contrast CT images.
*From Nano to Macro, 2010 IEEE International Symposium on Biomedical Imaging*,**2009**.

Finally, you may also find short articles I have written for the Bulletins Électroniques of the French embassy on science discoveries and technologies news in Israel.

*Porquerolles*- Fractals and Related Fields III (Sep. 2015)*Oxford*- 38th Conference on Stochastic Processes and their Applications (July 2015)*Technion*- Stochastic Processes and Random Fields: Geometry and Fine properties (June 2015)*Technion*- Probability seminar (May 2015)*Weizmann Institute*- Students Probability Day V (May 2015)*Orléans*- GDR d’analyse multifractale (Sept. 2014)*Saint Flour*- Probability summer school (July 2014)*BIRS/Banff*- Multifractal Analysis Workshop (Feb. 2014)*Paris Descartes*- Groupe de travail en Probabilités (Oct. 2013)*Wrocław*- 7th International Conference on Lévy Processes (July 2013)*Orléans*- Journées de Probabilités (Juin 2013)*Paris-Est Créteil*- Séminaire Cristolien d’Analyse Multifractale (Mai 2013)*Istanbul*- 8th World Congress in Probability and Statistics (July 2012)

- 2010 - 2013: Teaching assistant at École Centrale Paris in
*Analysis, Probability and Statistics*. - 2013: Teaching assistant at ENSAE in
*Functional Analysis*. - 2014: Crash course at the Technion on
*continuous Lévy trees*.

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