Curriculum Vitae

Alejandro Francisco Ramírez

Personal

Education

1984-90: Licenciado en Física, P. Universidad Católica, Santiago, Chile.
1990-92: Graduate studies in physics, Universidad de Chile, Santiago, Chile.
1992-96: Ph.D. in Mathematics, Courant Institute of Mathematical Sciences, New York University, New York City, USA.
Advisor: S.R.S. Varadhan

Positions

1996-97 Postdoctoral position, Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France
1997-99  Assistant, Département de Mathématiques, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
1999- 03 Assistant Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.
2003-
 Associate Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.

Editorial work

Associate editor, Stochastic Processes and their Applications.

Publications

  1. A. Ramírez and E. Tirapegui, Unstable States and Subdynamics, Phys. Lett. A 163, 397 (1992).
  2. A.F. Ramírez, F. Lund and R. Hernández, Effect of vortex bending in transition mediated by vortex rings in three dimensions and its relation to the lambda transition in liquid helium, Physical Review B 47, 5465 (1993).
  3. A.F. Ramírez and S.R.S. Varadhan, Relative entropy and mixing properties of interacting particle systems, J. Math. Kyoto Univ. 36 , no. 4, 869-875 (1996). [ps] [pdf]
  4. A.F. Ramírez, Relative entropy and mixing properties of infinite dimensional diffusions, Probab. Theory Related Fields 110, 369-395 (1998). [ps] [pdf]
  5. G. Ben Arous and A.F. Ramírez, Quenched asymptotics for survival probabilities in the random saturation process, C. R. Math. Acad. Sci. Paris, 329, 11, Série I, 1003-1008 (1999).[ps] [pdf]
  6. G. Ben Arous and A.F. Ramírez, Growth and saturation processes in random media, in  Stochastic Processes, Physics and Geometry: New Interplays I. A Volume in Honor of Sergio Albeverio (Leipzig, 1999), 41-54, CMS Conf. Proc.,28, Amer. Math. Soc., Providence, RI, (2000). [ps] [pdf]
  7. G. Ben Arous and A.F. Ramírez, Asymptotic survival probabilities in the random saturation process, Ann.  Probab. 28(4), 1470-1527 (2000). [ps] [pdf]
  8. A.F. Ramírez,  An elementary proof of the uniqueness of invariant product measures for some infinite dimensional processes, C. R. Math. Acad. Sci. Paris, 334, Série I, 1-6 (2002).  [pdf]
  9. A.F. Ramírez, Uniqueness of invariant measures for elliptic infinite dimensional diffusions and particle spin systems, ESAIM Probab. Statist. 6, 147-155 (2002) .
  10. A.F. Ramírez and V. Sidoravicius, Asymptotic behavior of a stochastic growth process associated with a system of interacting branching random walks, C. R. Math. Acad. Sci. Paris 335, Série I, 821-826 (2002).  
  11. G. Ben Arous, J. Quastel and A.F. Ramírez, Internal DLA in a Random Environment, Ann. Inst. H. Poincaré Probab. Statist., 39(2), 301-324 (2003). [ps] [pdf]
  12. A.F. Ramírez and V. Sidoravicius, Asymptotic behavior of a stochastic combustion growth process, J. Euro. Math. Soc. (JEMS), 6(3), 293-334 (2004). [ps] [pdf].
  13. G. Ben Arous, S. Molchanov and A.F. Ramírez, Transition from the annealed to the quenched asymptotics for a random walk on random obstacles,  Ann. Probab. 33(6), 2149-2187 (2005). [ps] [pdf]
  14. F. Comets, J. Quastel and A.F. Ramírez, Fluctuations of the front in a stochastic combustion model, Ann. Inst. H. Poincaré Probab. Statist., 43(2), 147-162 (2007).[ps] [pdf]
  15. G. Ben Arous, S. Molchanov and A.F. Ramírez, Transition asymptotics for reaction-diffusion in random media, Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov, 1--40, CRM Proc. Lecture Notes,  42, Amer. Math. Soc., Providence, RI, (2007). [ps] [pdf].
  16. J. Bérard and A.F. Ramírez, Central limit theorem for the excited random walk in dimension d>=2,  Electron. Comm. Probab., 12, 303-314 (2007). [ps] [pdf]
  17. M. Jara, G. Moreno and A.F. Ramírez, Front propagation in an exclusion one-dimensional reactive dynamics, Markov Process. Related Fields, 18, 185-206 (2008). [ps] [pdf]  
  18. F. Comets, J. Quastel and A.F. Ramírez, Fluctuations of the front in a one dimensional model of X+Y--> 2Y, Trans. Amer. Math. Soc. 361, 6165-6189 (2009). [ps] [pdf]
  19. A.  Drewitz and A.F. Ramírez, Asymptotic directions in random walk in random environment revisited, Braz. J. Probab. 24, 212-225 (2010).  [ps] [pdf]
  20. J. Bérard and A.F. Ramírez, Large deviations of the front in a one dimensional model of X+Y-->2Y, Ann. Probab. 38(3), 955-1018 (2010). [ps] [pdf]
  21. A. Drewitz and A.F. Ramírez, Ballisticity conditions for random walk in random environment, Probab. Theory and Related Fields 150, 61-75 (2011). [ps] [pdf]
  22. A. Drewitz and A.F. Ramírez, Quenched exit estimates and ballisticity conditions for higher dimensional random walk in random environment, to appear in Ann. Probab. [ps] [pdf]
  23. A. Drewitz, J. Gärtner, A.F. Ramírez and R. Sun, Survival probability of a random walk among a Poisson system of moving traps, to appear in Festschrift in honor of the 60th birthday of Jürgen Gärtner and 65th birthday of Erwin Bolthausen, Springer Proceedings in Mathematics. [ps] [pdf]
  24. M. Menshikov, S. Popov, A.F. Ramírez and M. Vachkovskaia, On a general many-dimensional excited random walk, to appear in Ann. Probab. [ps] [pdf]
  25. H. Kesten, A.F. Ramírez and V. Sidoravicius, Asymptotic Shape and Propagation of Fronts for Growth Models in Dynamic Random Environment, to appear in Festschrift in honor of the 60th birthday of Jürgen Gärtner and 65th birthday of Erwin Bolthausen, Springer Proceedings in Mathematics. [ps] [pdf]


Preprints & Other Manuscripts

  1. A.F. Ramírez, Teorema del límite central para variables aleatorias aditivas, Informe técnico DIM, Universidad de Chile (1997). [ps] [pdf]
  2. A.F. Ramírez, Exponential ergodicity and Raleigh-Schrödinger series for infinite dimensional diffusions. [ps] [pdf]
  3. G. Ben Arous, S. Molchanov, A.F. Ramírez, Quenched-annealed transition for a branching random walk on a Weibull potential, in preparation.