Profesor Titular

Departamento de Matemáticas

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Vicuña Mackenna 4860, Macul

Santiago 7820436, Chile

Phone: +56-2-23545466

Dept. Fax: +56-2-25525916

E-Mail : aramirez@mat.uc.cl

- Cyclic products and optimal traps in cyclic birth and death
chains. M. Holmes, A. Holroyd and A.F. Ramírez. arxiv:2203.02443
. [arxiv]

- Balanced excited random walk in two dimensions. O. Angel, M. Holmes and A.F. Ramírez. arXiv:2110.15889 . [arxiv]
- Second order cubic fluctuations of quenched large deviations
for perturbed Beta random walks. G. Oviedo, G. Panizo and A.F.
Ramírez. arXiv:2108.02877 [arxiv]

- Computable criteria for ballisticity of random walks in random
environment. A.F. Ramírez and R. Ribeiro. arXiv:2107.00113 . [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]

- 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,
conditionally accepted in Ann. Appl. Probab. (minor revision
required) (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,
- 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]

- During the first term of 2022 I am teaching Teoría de Integración and Ecuaciones Diferenciales. 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**

**Millenium nucleus
stochastic models of disordered and complex systems
**

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