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[1]
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Jonathon Peterson and Ofer Zeitouni.
Quenched limits for transient, zero speed one-dimensional random
walk in random environment.
Ann. Probab., 37(1):143-188, 2009.
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DOI |
arXiv |
http ]
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[2]
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Jonathon Peterson.
Quenched limits for transient, ballistic, sub-Gaussian
one-dimensional random walk in random environment.
Ann. Inst. Henri Poincaré Probab. Stat., 45(3):685-709,
2009.
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DOI |
arXiv |
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[3]
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Jonathon Peterson and Ofer Zeitouni.
On the annealed large deviation rate function for a
multi-dimensional random walk in random environment.
ALEA Lat. Am. J. Probab. Math. Stat., 6:349-368, 2009.
[ bib |
arXiv |
.pdf ]
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[4]
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Jonathon Peterson.
Systems of one-dimensional random walks in a common random
environment.
Electron. J. Probab., 15:no. 32, 1024-1040, 2010.
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DOI |
arXiv |
http ]
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[5]
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Jonathon Peterson and Timo Seppäläinen.
Current fluctuations of a system of one-dimensional random walks in
random environment.
Ann. Probab., 38(6):2258-2294, 2010.
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DOI |
arXiv |
http ]
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[6]
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Jonathon Peterson.
The contact process on the complete graph with random
vertex-dependent infection rates.
Stochastic Process. Appl., 121(3):609-629, 2011.
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DOI |
arXiv |
http ]
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[7]
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Nina Gantert and Jonathon Peterson.
Maximal displacement for bridges of random walks in a random
environment.
Ann. Inst. Henri Poincaré Probab. Stat., 47(3):663-678,
2011.
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DOI |
arXiv |
http ]
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[8]
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Jonathon Peterson and Gennady Samorodnitsky.
Weak weak quenched limits for the path-valued processes of hitting
times and positions of a transient, one-dimensional random walk in a random
environment.
ALEA Lat. Am. J. Probab. Math. Stat., 9(2):531-569, 2012.
[ bib |
arXiv |
.pdf ]
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[9]
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Jonathon Peterson.
Large deviations and slowdown asymptotics for one-dimensional
excited random walks.
Electron. J. Probab., 17(48):1-24, 2012.
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DOI |
arXiv |
http ]
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[10]
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Jonathon Peterson.
Strict monotonicity properties in one-dimensional excited random
walks.
Markov Process. Related Fields, 19(4):721-734, 2013.
[ bib |
arXiv ]
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[11]
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Jonathon Peterson.
A Probabilistic Proof of a Binomial Identity.
Amer. Math. Monthly, 120(6):558-562, 2013.
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DOI |
arXiv |
http ]
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[12]
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Jonathon Peterson and Gennady Samorodnitsky.
Weak quenched limiting distributions for transient one-dimensional
random walk in a random environment.
Ann. Inst. Henri Poincaré Probab. Stat., 49(3):722-752,
2013.
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DOI |
arXiv |
http ]
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[13]
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Jonathon Peterson.
Large deviations for random walks in a random environment on a
strip.
ALEA Lat. Am. J. Probab. Math. Stat., 11(1):1-41, 2014.
[ bib |
arXiv |
.pdf ]
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[14]
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Jonathon Peterson.
Strong transience of one-dimensional random walk in a random
environment.
Electron. Commun. Probab., 20:no. 67, 1-10, 2015.
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DOI |
arXiv |
http ]
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[15]
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Jonathon Peterson.
Extreme slowdowns for one-dimensional excited random walks.
Stochastic Process. Appl., 125(2):458-481, 2015.
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DOI |
arXiv |
http ]
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[16]
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Sung Won Ahn and Jonathon Peterson.
Oscillations of quenched slowdown asymptotics for ballistic
one-dimensional random walk in a random environment.
Electron. J. Probab., 21:1-27, 2016.
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DOI |
arXiv |
http ]
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[17]
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Elena Kosygina and Jonathon Peterson.
Functional limit laws for recurrent excited random walks with
periodic cookie stacks.
Electron. J. Probab., 21:1-24, 2016.
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DOI |
arXiv |
http ]
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[18]
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Elena Kosygina and Jonathon Peterson.
Excited random walks with Markovian cookie stacks.
Ann. Inst. H. Poincaré Probab. Statist., 53(3):1458-1497,
2017.
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DOI |
arXiv |
http ]
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[19]
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Milton Jara and Jonathon Peterson.
Hydrodynamic limit for a system of independent, sub-ballistic random
walks in a common random environment.
Ann. Inst. Henri Poincaré Probab. Stat., 53(4):1747--1792,
2017.
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arXiv |
http ]
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[20]
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Burgess Davis and Jonathon Peterson.
Excited random walks with non-nearest neighbor steps.
J. Theoret. Probab., 30(4):1255--1284, 2017.
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arXiv |
http ]
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[21]
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Erin Madden, Brian Kidd, Owen Levin, Jonathon Peterson, Jacob Smith, and
Kevin M. Stangl.
Upper and lower bounds on the speed of a one-dimensional excited
random walk.
Involve, 12(1):97--115, 2019.
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DOI |
arXiv |
http ]
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[22]
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Xiaoqin Guo and Jonathon Peterson.
Berry–esseen estimates for regenerative processes under weak moment
assumptions.
Stochastic Processes and their Applications, 129(4):1379 -
1412, 2019.
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DOI |
arXiv |
http ]
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[23]
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Sung Won Ahn and Jonathon Peterson.
Quenched central limit theorem rates of convergence for
one-dimensional random walks in random environments.
Bernoulli, 25(2):1386-1411, 05 2019.
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DOI |
arXiv |
http ]
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[24]
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Elena Kosygina, Thomas Mountford, and Jonathon Peterson.
Convergence of random walks with Markovian cookie stacks to
Brownian motion perturbed at extrema.
Probab. Theory Related Fields, 182(1-2):189--275, 2022.
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DOI |
arXiv |
http ]
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[25]
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Otávio Menezes, Jonathon Peterson, and Yongjia Xie.
Variable speed symmetric random walk driven by the simple symmetric
exclusion process.
Electron. J. Probab., 27:Paper No. 6, 14, 2022.
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DOI |
arXiv |
http ]
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[26]
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Sung Won Ahn and Jonathon Peterson.
Optimal rates of convergence for quenched central limit theorem
rates of one-dimensional random walks in random environments.
Markov Process. Related Fields, 28(2):215--244, January 2022.
[ bib |
arXiv |
http ]
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[27]
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Xiaoqin Guo, Jonathon Peterson, and Hung V. Tran.
Quantitative homogenization in a balanced random environment.
Electron. J. Probab., 27:Paper No. 132, 31, 2022.
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DOI |
arXiv |
http ]
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[28]
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Elena Kosygina, Thomas Mountford, and Jonathon Peterson.
Convergence and nonconvergence of scaled self-interacting random
walks to Brownian motion perturbed at extrema.
The Annals of Probability, 51(5):1684 -- 1728, 2023.
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DOI |
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