Professor at the Mathematics Department of the University of Lisbon. Director of the Group of Mathematical Physics of the University of Lisbon (GFMUL).

Scientific interests

• Probabilistic methods in mathematical physics.
• Path integrals method in quantum theory (and quantum field theory).
• Classical and quantum dynamical systems (geometric and algebraic methods). Stochastic deformation.
• Applications of stochastic analysis.

Some recent publications

• With N. Privault:
  "Stochastic deformation of integrable dynamical systems and random time symmetry",
  URL: http://math.cityu.edu.hk/~nprivaul/papers/deformation.pdf
• "On the geometry of the Hamilton-Jacobi-Bellman equation", Journal of Geometric Mechanics 1, 3 (Sep 2009).
  URL: http://gfm.cii.fc.ul.pt/people/jczambrini/geometry-hamilton-jacobi-bellman.pdf
• With Wu Liming and A. B. Cruzeiro:
  "Bernstein processes associated with a Markov process", in Stochastic Analysis and Mathematical Physics, ANESTOC'98, Proceedings of the Third International Workshop, Ed. R. Rebolledo, Trends in Mathematics Series, Birkhäuser, Boston (2000).
  URL: http://www.birkhauser.ch/books/math/4185.htm
• With Kai Lai Chung:
  Introduction to Random Time and Quantum Randomness, New Edition, Monographs of the Portuguese Mathematical Society vol. 1, World Scientific (2003).
  URL: http://www.worldscibooks.com/physics/5288.html
• With N. Privault:
  "Markovian bridges and reversible diffusion processes with jumps", Annales de l'Institut Henri Poincaré (Probabilités & Statistiques) 40 (2004), 599-633.
  URL: http://www.univ-lr.fr/labo/lmca/publications/02-05/02-05.pdf
• With P. Lescot:
  "Probabilistic deformation of contact geometry, diffusion processes and their quadratures", to be published.
  URL: http://gfm.cii.fc.ul.pt/people/jczambrini/lescot-zambrini-ascona.pdf
• With N. Privault:
  "Euclidean quantum mechanics in the momentum representation", Journal of Mathematical Physics 46 (2005).
  URL: http://math.cityu.edu.hk/~nprivaul/papers/euclidean.pdf
• Editor, with Rolando Rebolledo and Jorge Rezende:
  Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002), Proceedings of the Mathematical Legacy of R P Feynman (Lisbon, Portugal, 3-7 June 2002), Proceedings of the Open Systems and Quantum Statistical Mechanics (Santiago, Chile, 7-11 January 2002), World Scientific (2004).
  URL: http://www.worldscibooks.com/physics/5676.html
• Editor:
  XIVth International Congress on Mathematical Physics (Lisbon, Portugal 28 July - 2 August 2003), World Scientific (2006).
  URL: http://www.worldscibooks.com/physics/5778.html
• Editor, with J. C. Mourão, J. P. Nunes, R. Picken:
  Prospects in Mathematical Physics (YRS of 14th ICMP 2003), Contemporary Mathematics no 437, American Mathematical Society (2007).
  URL: http://www.ams.org/bookstore?fn=20&item=CONM-437
• With S. Albeverio and J. Rezende:
  "Probability and quantum symmetries II.The theorem of Noether in quantum mechanics", Journal of Mathematical Physics 47 (2006).
  URL: http://gfm.cii.fc.ul.pt/people/jczambrini/JMathPhys-47-062107.pdf
• Editor, with Gerard Ben Arous, Ana Bela Cruzeiro, Yves Le Jan:
  Stochastic Analysis in Mathematical Physics, Proceedings of a Satellite Conference of ICM 2006 (Lisbon, Portugal 4-8 September 2006), World Scientific (2008).
  URL http://www.worldscibooks.com/mathematics/6734.html