Alejandro  Ramírez

Latest Preprints & Papers

• Cyclic products and optimal traps in cyclic birth and death chains. M. Holmes, A. Holroyd and A.F. Ramírez. arxiv:2203.02443 . [arxiv]
  
• The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior. R. Bazaes, C. Mukherjee, A.F. Ramírez and S.Saglietti. arXiv:2101.04606 . [arxiv]
• Computable criteria for ballisticity of random walks in random environment. A.F. Ramírez and R. Ribeiro. conditionally accepted in Electron J. Probab. (major revision required) (2022). [arxiv]
• Balanced excited random walk in two dimensions. O. Angel, M. Holmes and A.F. Ramírez. conditionally accepted in Ann. Probab. (2022) . [arxiv]
• Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder. R. Bazaes, C. Mukherjee, A.F. Ramírez and S. Saglietti, accepted in Ann. Appl. Probab.  (2022) [arxiv]
• Second order cubic fluctuations of quenched large deviations for perturbed Beta random walks. G. Oviedo, G. Panizo and A.F. Ramírez. Electron J. Probab., 27,  1-45 (2022)[arxiv]
• An overview of the balanced excited random walk. D. Camarena, G. Panizo and A.F. Ramírez, 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]
  
• New high dimensional examples of ballistic random walks in random environment. R. Fukushima and A.F. Ramírez, Stochastic Analysis on Large Scale Interacting Systems 2018, RIMS Kôkyûroku Bessatsu, B79, Res. Inst. Math. Sci. (RIMS), Kyoto, (2020). [pdf].
  
• A proof of Sznitman's conjecture about ballistic RWRE. E. Guerra and A.F. Ramírez, Comm. Pure Appl. Math. 73, 2087-2103 (2020). [pdf]
• Velocity estimates for symmetric random walks at low ballistic disorder. C. Laurent, A.F. Ramírez, C. Sabot and S. Saglietti, 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]
• Stable limit laws and structure of the scaling function for reaction-diffusion in random environment. G. Ben Arous, S. Molchanov and A.F. Ramírez, 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]
• New examples of ballistic RWRE in the low disorder regime. A.F. Ramírez and S. Saglietti, Electron. J. Probab. 24 (2019). [pdf]
• Random polymers on the complete graph. F. Comets, G. Moreno and A.F. Ramírez, Bernoulli 25, 683-711 (2019). [pdf]
  
• Quenched invariance principle for random walk in time-dependent balanced random environment. J.-D. Deuschel, X. Guo and A.F. Ramírez,  Ann. Inst. H. Poincaré Probab. Statist. 54(1) 363-384 (2018). [ps] [pdf]
• Asymptotic expansion of the invariant measure for ballistic random walks in random environment in the low disorder regime. D. Campos and A.F. Ramírez, Ann. Probab. 45(6B), 4675-4699 (2017). [ps] [pdf]
• Asymptotic direction for random walks in mixing random environments. E. Guerra and A.F. Ramírez, Electron. J. Probab. 22 41pp. (2017). [ps] [pdf]
• Fluctuations of the front in a one-dimensional model for the spread of an infection. J. Bérard and A.F. Ramírez, Ann. Probab. 44(5), 2770-2816 (2016). [ps] [pdf]
• Sharp ellipticity conditions for ballistic behavior of random walks in random environment. E. Bouchet, A.F. Ramírez and C. Sabot, Bernoulli 22, 969-994 (2016). [ps] [pdf]
• Almost exponential decay for the exit probability from slabs of ballistic RWRE, E. Guerra and A.F. Ramírez, Electron. J. Probab. 20 1-17 (2015) [ps] [pdf]
• Selected topics in random walks in random environments. A. Drewitz and A.F. Ramírez,  Topics in percolative and disordered systems, 23–83, Springer Proc. Math. Stat., 69, Springer, New York, (2014). [ps] [pdf]
• Ellipticity criteria for ballistic behavior of random walks in random environment. D. Campos and A.F. Ramírez, Probab. Theory Related Fields 160, 189-251 (2014). [ps] [pdf]
• Effective polynomial ballisticity condition for random walk in random environment. N. Berger, A. Drewitz and A.F. Ramírez, Comm. Pure Appl. Math. 67, 1947-1973 (2014). [ps] [pdf]
• Last passage percolation and travelling fronts. F. Comets, J. Quastel and A.F. Ramírez, J. Stat. Phys. 152, 419-451 (2013). [ps] [pdf]
• Level 1 quenched large deviation principle for random walk in dynamic random environment. D. Campos, A. Drewitz, A.F. Ramírez, F. Rassoul-Agha and T. Seppalainen, Bull. Inst. Math. Acad. Sin. (N.S.) in honor of the 70th birthday of S.R.S. Varadhan, 8(1), 1-29 (2013). [ps] [pdf]
• On a general many-dimensional excited random walk. M. Menshikov, S. Popov, A.F. Ramírez and M. Vachkovskaia, Ann. Probab. 40(5),  2106-2130 (2012). [ps] [pdf]
• Quenched exit estimates and ballisticity conditions for higher dimensional random walk in random environment.  A. Drewitz and A.F. Ramírez, Ann. Probab. 40(2), 459-534 (2012). [ps] [pdf]
• Asymptotic Shape and Propagation of Fronts for Growth Models in Dynamic Random Environment. H. Kesten, A.F. Ramírez and V. Sidoravicius, Probability in Complex Physical Systems-In honour of Erwin Bolthausen and Jürgen Gärtner, Springer Proceedings in Mathematics 11, 195-224 (2012). [ps] [pdf]
• Survival probability of a random walk among a Poisson system of moving traps. A. Drewitz, J. Gärtner, A.F. Ramírez and R. Sun, Probability in Complex Physical Systems-In honour of Erwin Bolthausen and Jürgen Gärtner, Springer Proceedings in Mathematics 11, 119-158 (2012). [ps] [pdf]
• Ballisticity conditions for random walk in random environment. A. Drewitz and A.F. Ramírez, Probab. Theory Related Fields 150, 61-75 (2011). [ps] [pdf]
• Large deviations of the front in a one dimensional model of X+Y-->2X. J. Bérard and A.F. Ramírez, Ann. Probab. 38(3), 955-1018 (2010). [ps] [pdf]
• Asymptotic directions in random walk in random environment revisited. A. Drewitz and A.F.Ramírez, Braz. J. Probab. 24, 212-225 (2010). [ps] [pdf]
• Fluctuations of the front in a one dimensional model of X+Y-->2X. F. Comets, J. Quastel and A. F. Ramírez, Trans. Amer. Math. Soc. 361, 6165-6189 (2009). [ps] [pdf]
• Front propagation in an exclusion one-dimensional reactive dynamics. M. Jara, G. Moreno and A.F. Ramírez, Markov Process. Related Fields, 18, 185-206 (2008). [ps] [pdf]
  
• Central limit theorem for the excited random walk in dimension d>=2. J. Bérard and A.F. Ramírez,  Electron. Comm. Probab., 12, 303-314 (2007). [ps] [pdf]
• Transition asymptotics for reaction-diffusion in random media. G. Ben Arous, S. Molchanov and A.F. Ramírez,  Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov, Editors - AMS | CRM,  42, 1-40 (2007). [ps] [pdf]
• Fluctuations of the front in a stochastic combustion model. F. Comets, J. Quastel and A.F. Ramírez, Ann. Inst. H. Poincaré Probab. Statist., 43(2), 147-162 (2007).[ps] [pdf]
• Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. G. Ben Arous, S. Molchanov and A.F. Ramírez, Ann. Probab. 33(6), 2149-2187 (2005). [ps] [pdf]
  
• Asymptotic behavior of a stochastic combustion growth process.  A.F. Ramírez and V. Sidoravicius, J. Eur. Math. Soc. (JEMS), 6(3), 293-334 (2004). [ps] [pdf]
• Internal DLA in a Random Environment. G. Ben Arous, J. Quastel and A.F. Ramírez, Ann. Inst. H. Poincaré Probab. Statist., 39(2), 301-324 (2003).[ps] [pdf]

Teaching Activities

• During the second term of 2022 I am teaching Análisis Funcional. My previous teaching activities are described  here.

• Random media and random structures in Lima,  January 6-10, 2020.
  
• Random walks with memory,  May 29-June 2, 2017.
  
• Random media in Atacama, in honor of Francis Comets 60th birthday, December 12-16, 2016.
  
• PASI: Topics in percolative and disordered systems, January 2-15, 2012.
  
• Workshop on Random Walks, Particle Systems and Random Media, January 14-18, 2008.
  
• Analysis & Probability in Quantum Physics, July 27- August 4, 2006.
  
• Percolation, Particle Systems and Random Media, January 12-17, 2004.

• 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

Currículum Vitae

Millenium nucleus stochastic models of disordered and complex systems

  Braquistócrona