| [1] | Fabrice Baudoin and Jonathon Peterson, editors. Stochastic analysis and related topics, volume 72 of Progress in Probability. Birkhäuser/Springer, Cham, 2017. A Festschrift in honor of Rodrigo Bañuelos. [ bib ] |
| [2] | 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. [ bib | DOI | arXiv | http ] |
| [3] | 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. [ bib | DOI | arXiv | http ] |
| [4] | 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 ] |
| [5] | Jonathon Peterson. Systems of one-dimensional random walks in a common random environment. Electron. J. Probab., 15:no. 32, 1024--1040, 2010. [ bib | DOI | arXiv | http ] |
| [6] | 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. [ bib | DOI | arXiv | http ] |
| [7] | Jonathon Peterson. The contact process on the complete graph with random vertex-dependent infection rates. Stochastic Process. Appl., 121(3):609--629, 2011. [ bib | DOI | arXiv | http ] |
| [8] | 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. [ bib | DOI | arXiv | http ] |
| [9] | 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 ] |
| [10] | Jonathon Peterson. Large deviations and slowdown asymptotics for one-dimensional excited random walks. Electron. J. Probab., 17(48):1--24, 2012. [ bib | DOI | arXiv | http ] |
| [11] | Jonathon Peterson. Strict monotonicity properties in one-dimensional excited random walks. Markov Process. Related Fields, 19(4):721--734, 2013. [ bib | arXiv ] |
| [12] | Jonathon Peterson. A Probabilistic Proof of a Binomial Identity. Amer. Math. Monthly, 120(6):558--562, 2013. [ bib | DOI | arXiv | http ] |
| [13] | 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. [ bib | DOI | arXiv | http ] |
| [14] | 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 ] |
| [15] | Jonathon Peterson. Strong transience of one-dimensional random walk in a random environment. Electron. Commun. Probab., 20:no. 67, 1--10, 2015. [ bib | DOI | arXiv | http ] |
| [16] | Jonathon Peterson. Extreme slowdowns for one-dimensional excited random walks. Stochastic Process. Appl., 125(2):458--481, 2015. [ bib | DOI | arXiv | http ] |
| [17] | 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. [ bib | DOI | arXiv | http ] |
| [18] | Elena Kosygina and Jonathon Peterson. Functional limit laws for recurrent excited random walks with periodic cookie stacks. Electron. J. Probab., 21:1--24, 2016. [ bib | DOI | arXiv | http ] |
| [19] | Elena Kosygina and Jonathon Peterson. Excited random walks with Markovian cookie stacks. Ann. Inst. H. Poincaré Probab. Statist., 53(3):1458--1497, 2017. [ bib | DOI | arXiv | http ] |
| [20] | 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. [ bib | arXiv | http ] |
| [21] | Burgess Davis and Jonathon Peterson. Excited random walks with non-nearest neighbor steps. J. Theoret. Probab., 30(4):1255--1284, 2017. [ bib | arXiv | http ] |
| [22] | 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. [ bib | DOI | arXiv | http ] |
| [23] | 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. [ bib | DOI | arXiv | http ] |
| [24] | 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, 2019. [ bib | DOI | arXiv | http ] |
| [25] | 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. [ bib | DOI | arXiv | http ] |
| [26] | 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. [ bib | DOI | arXiv | http ] |
| [27] | 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 ] |
| [28] | Xiaoqin Guo, Jonathon Peterson, and Hung V. Tran. Quantitative homogenization in a balanced random environment. Electron. J. Probab., 27:Paper No. 132, 31, 2022. [ bib | DOI | arXiv | http ] |
| [29] | 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. [ bib | DOI | http ] |
| [30] | Luca Avena, Conrado da Costa, and Jonathon Peterson. Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments, August 2021. [ bib | arXiv | http ] |
| [31] | Conrado da Costa, Jonathon Peterson, and Yongjia Xie. Limiting distributions for rwcre in the sub-ballistic regime and in the critical gaussian regime, 2023. [ bib | arXiv | http ] |
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