Curriculum Vitae

Alejandro Francisco Ramírez

Personal

Education

1984-1990 Licenciado en Física, P. Universidad Católica, Santiago, Chile.
1990-1992 Graduate studies in physics, Universidad de Chile, Santiago, Chile.
1992-1996 Ph.D. in Mathematics, Courant Institute of Mathematical Sciences, New York University, New York City, USA.
Advisor: S.R.S. Varadhan

Positions

1996-1997 Postdoctoral position, Centre de Mathématiques Appliquées, École Polytechnique, Palaiseau, France.
1997-1999  Assistant, Département de Mathématiques, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
1999-2003 Assistant Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.
2003-2012
 Associate Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.
2014-2015
 Berlin Mathematical School Professor, Institut für Mathematik, Technische Universität Berlin, Berlin, Germany.
2020-2021
 New York University Shanghai, Visiting Professor, Shanghai, China.
2023-
 New York University Shanghai, Professor of Mathematics, Shanghai, China.
2012-
 Professor, Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Santiago, Chile.

Editorial work

2016-2018   Associate Editor, Bernoulli
2012-2017   Associate Editor, Electronic Journal of Probability and Electronic Communications in Probability
2006-2012   Associate editor,  Stochastic Processes and their Applications

Publications

  1. A. Drewitz, A.F. Ramírez, S. Saglietti and Z. Zheng. Large deviations at the origin of random walk in random environment. (2024). [arxiv]
  2. J. Quastel, A.F. Ramírez and B. Virag. KPZ fluctuations in the planar stochastic heat equation. accepted in Duke Math. J. (2024). [arxiv]
  3. A.F. Ramírez, S. Saglietti and L. Shao. A non-oriented first passage percolation model and statistical invariance by time reversal. Stochastic Processes Appl. 175, Article ID 104413, 8 p. (2024). [arxiv]
  4. M. Holmes, A. Holroyd and A.F. Ramírez. Cyclic products and optimal traps in cyclic birth and death chains. Electron. J. Combin. 30 (2) (2023) . [arxiv]
  5. R. Bazaes, C. Mukherjee, A.F. Ramírez and S.Saglietti. The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. Stochastic Process. Appl., 158, 207-238 (2023) . [arxiv]
  6. O. Angel, M. Holmes and A.F. Ramírez. Balanced excited random walk in two dimensions.  Ann. Probab. 51(4) 1421-1448 (2023). [arxiv]
  7. R. Bazaes, C. Mukherjee, A.F. Ramírez and S. Saglietti. Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder. Ann. Appl. Probab. 33(3) 2210-2246   (2023). [arxiv]
  8. A.F. Ramírez and R. Ribeiro. Computable criteria for ballisticity of random walks in random environment.  Electron J. Probab., 27, 1-38 (2022). [arxiv]
  9. G. Oviedo, G. Panizo and A.F. Ramírez. Second order cubic fluctuations of quenched large deviations for perturbed Beta random walks. Electron J. Probab., 27,  1-45 (2022).[arxiv]
  10. D. Camarena, G. Panizo and A.F. Ramírez. An overview of the balanced excited random walk.   In and out of equilibrium 3: celebrating Vladas Sidoravicius, Vares, M.E. (ed.); Fernández, R.; Fontes, R. (ed.); Newman, C. (ed.); Progress in Probability, 77, Birkhaüser (2021). [arxiv]
  11. R. Fukushima and A.F. Ramírez. New high dimensional examples of ballistic random walks in random environment. Stochastic Analysis on Large Scale Interacting Systems 2018, RIMS Kôkyûroku Bessatsu, B79, Res. Inst. Math. Sci. (RIMS), Kyoto, (2020). [pdf]
  12. E. Guerra and A.F. Ramírez. A proof of Sznitman's conjecture about ballistic RWRE.  Comm. Pure Appl. Math. 73, 2087-2103 (2020). [pdf]
  13. A.F. Ramírez and S. Saglietti. New examples of ballistic RWRE in the low disorder regime. Electron. J. Probab. 24 (2019). [pdf]
  14. G. Ben Arous, S. Molchanov and A.F. Ramírez. Stable limit laws and structure of the scaling function for reaction-diffusion in random environment. International conference in honor of the 75th birthday of S.R.S. Varadhan, Probability and Analysis in Interacting Physical Systems, Springer Proceedings in Mathematics & Statistics, 123-171 (2019). [ps] [pdf]
  15. C. Laurent, A.F. Ramírez, C. Sabot and S. Saglietti. Velocity estimates for symmetric random walks at low ballistic disorder. Sojourns in probability and statistical physics III, in honor of the 70th birthday of C. Newman, Springer Proceedings in Mathematics & Statistics, 274-325 (2019). [ps] [pdf]
  16. F. Comets, G. Moreno and A.F. Ramírez. Random polymers on the complete graph. Bernoulli 25, 683-711 (2019). [pdf]
  17. J.-D. Deuschel, X. Guo and A.F. Ramírez, Quenched invariance principle for random walk in time-dependent balanced random environment, Ann. Inst. H. Poincaré Probab. Statist. Ann. Inst. H. Poincaré Probab. Statist. 54(1) 363-384 (2018). [ps] [pdf]
  18. D. Campos and A.F. Ramírez. Asymptotic expansion of the invariant measure for ballistic random walks in random environment in the low disorder regime, Ann. Probab. 45(6B), 4675-4699 (2017). [ps] [pdf]
  19. E. Guerra and A.F. Ramírez, Asymptotic direction for random walks in mixing random environments, Electron. J. Probab. 22 41pp. (2017). [ps] [pdf]
  20. J. Bérard and A.F. Ramírez, Fluctuations of the front in a one-dimensional model for the spread of an infection, Ann. Probab. 44(5), 2770-2816 (2016). [ps] [pdf]
  21. E. Bouchet, A.F. Ramírez and C. Sabot, Sharp ellipticity conditions for ballistic behavior of random walks in random environment, Bernoulli 22, 969-994 (2016). [ps] [pdf]
  22. E. Guerra and A.F. Ramírez, Almost exponential decay for the exit probability from slabs for RWRE, Electron. J. Probab. 20 1-17 (2015) [ps] [pdf]
  23. A. Drewitz and A.F. Ramírez,  Selected topics in random walks in random environments,  Topics in percolative and disordered systems, 23–83, Springer Proc. Math. Stat., 69, Springer, New York, (2014). [ps] [pdf]
  24. D. Campos and A.F. Ramírez, Ellipticity criteria for ballistic behavior of random walks in random environment, Probab. Theory Related Fields 160, 189-251 (2014). [ps] [pdf]
  25. N. Berger, A. Drewitz and A.F. Ramírez, Effective polynomial ballisticity condition for random walk in random environment,  Comm. Pure Appl. Math. 67, 1947-1973 (2014). [ps] [pdf]
  26. F. Comets, J. Quastel and A.F. Ramírez, Last passage percolation and travelling fronts,  J. Stat. Phys. 152, 419-451 (2013). [ps] [pdf]
  27. D. Campos, A. Drewitz, A.F. Ramírez, F. Rassoul-Agha and T. Seppalainen, Level 1 quenched large deviation principle for random walk in dynamic random environment, Bulletin of the Institute of Mathematics, Academia Sinica (N.S.) in honor of the 70th birthday of S.R.S. Varadhan, 8(1), 1-29 (2013). [ps] [pdf]
  28. H. Kesten, A.F. Ramírez and V. Sidoravicius, Asymptotic Shape and Propagation of Fronts for Growth Models in Dynamic Random Environment, Probability in Complex Physical Systems-In honour of Erwin Bolthausen and Jürgen Gärtner, Springer Proceedings in Mathematics 11, 195-224 (2012). [ps] [pdf]
  29. A. Drewitz, J. Gärtner, A.F. Ramírez and R. Sun, Survival probability of a random walk among a Poisson system of moving traps, Probability in Complex Physical Systems-In honour of Erwin Bolthausen and Jürgen Gärtner, Springer Proceedings in Mathematics 11, 119-158 (2012). [ps] [pdf]
  30. M. Menshikov, S. Popov, A.F. Ramírez and M. Vachkovskaia, On a general many-dimensional excited random walk, Ann. Probab. 40(5),  2106-2130 (2012).  [ps] [pdf]
  31. A. Drewitz and A.F. Ramírez, Quenched exit estimates and ballisticity conditions for higher dimensional random walk in random environment, Ann. Probab.  40(2), 459-534 (2012). [ps] [pdf]
  32. A. Drewitz and A.F. Ramírez, Ballisticity conditions for random walk in random environment, Probab. Theory Related Fields 150, 61-75 (2011). [ps] [pdf]
  33. 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]
  34. A.  Drewitz and A.F. Ramírez, Asymptotic directions in random walk in random environment revisited, Braz. J. Probab. 24, 212-225 (2010).  [ps] [pdf]
  35. 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]
  36. 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]
  37. 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]
  38. 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].
  39. 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]
  40. 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]
  41. 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].
  42. 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]
  43. 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).  
  44. A.F. Ramírez, Uniqueness of invariant measures for elliptic infinite dimensional diffusions and particle spin systems, ESAIM Probab. Statist. 6, 147-155 (2002).
  45. 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]
  46. G. Ben Arous and A.F. Ramírez, Asymptotic survival probabilities in the random saturation process, Ann. Probab. 28(4), 1470-1527 (2000). [ps] [pdf]
  47. 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]
  48. 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]
  49. A.F. Ramírez, Relative entropy and mixing properties of infinite dimensional diffusions, Probab. Theory Related Fields 110, 369-395 (1998). [ps] [pdf]
  50. 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]
  51. A. F. Ramírez, A. Reisenegger and F. Lund, Instabilities mediated by line defects in 3 dimensions without unbinding, in "Instabilities and Nonequilibrium Structures IV", 325-331, Edited by E. Tirapegui and W. Zeller, Mathematics and its Applications, 267. Kluwer Academic Publishers Group, Dodrecht, (1993).
  52. 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).
  53. A. Ramírez and E. Tirapegui, Unstable States and Subdynamics, Phys. Lett. A 163, 397 (1992).

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 Rayleigh-Schrödinger series for infinite dimensional diffusions.  [ps] [pdf]
  3. A.F. Ramírez, Random walk in the low disorder ballistic regime, to appear in the proceedings of the XVIII International Congress on Mathematical Physics. [ps] [pdf]