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Parabolic Anderson model on critical Galton–Watson trees in a Pareto environment. Stoch Process Their Appl 2023. [DOI: 10.1016/j.spa.2023.01.010] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
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Berger Q, Torri N, Wei R. Non-directed polymers in heavy-tail random environment in dimension d≥2. ELECTRON J PROBAB 2022. [DOI: 10.1214/22-ejp873] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Affiliation(s)
- Quentin Berger
- Sorbonne Université, LPSM, Campus Pierre et Marie Curie, case 158, 4 place Jussieu, 75252 Paris Cedex 5, France
| | - Niccolò Torri
- Université Paris-Nanterre, 200 Av. de la République, 92001, Nanterre, France and FP2M, CNRS FR 2036
| | - Ran Wei
- Department of Mathematics, Nanjing University, 22 Hankou Road, 210093 Nanjing, China
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Ding J, Fukushima R, Sun R, Xu C. Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles. ANN PROBAB 2021. [DOI: 10.1214/20-aop1450] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Muirhead S, Pymar R, Sidorova N. A new phase transition in the parabolic Anderson model with partially duplicated potential. Stoch Process Their Appl 2019. [DOI: 10.1016/j.spa.2018.12.005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Muirhead S, Pymar R, dos Santos RS. The Bouchaud–Anderson model with double-exponential potential. ANN APPL PROBAB 2019. [DOI: 10.1214/18-aap1417] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Ortgiese M, Roberts MI. Scaling limit and ageing for branching random walk in Pareto environment. ANNALES DE L'INSTITUT HENRI POINCARÉ, PROBABILITÉS ET STATISTIQUES 2018. [DOI: 10.1214/17-aihp839] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Muirhead S, Pymar R, Sidorova N. Delocalising the parabolic Anderson model through partial duplication of the potential. Probab Theory Relat Fields 2017. [DOI: 10.1007/s00440-017-0798-5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails. Probab Theory Relat Fields 2017. [DOI: 10.1007/s00440-017-0777-x] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Ortgiese M, Roberts MI. One-point localization for branching random walk in Pareto environment. ELECTRON J PROBAB 2017. [DOI: 10.1214/16-ejp22] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Ortgiese M, Roberts MI. Intermittency for branching random walk in Pareto environment. ANN PROBAB 2016. [DOI: 10.1214/15-aop1021] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Astrauskas A. From extreme values of i.i.d. random fields to extreme eigenvalues of finite-volume Anderson Hamiltonian. PROBABILITY SURVEYS 2016. [DOI: 10.1214/15-ps252] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Hu Y, Huang J, Nualart D, Tindel S. Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency. ELECTRON J PROBAB 2015. [DOI: 10.1214/ejp.v20-3316] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Sidorova N, Twarowski A. Localisation and ageing in the parabolic Anderson model with Weibull potential. ANN PROBAB 2014. [DOI: 10.1214/13-aop882] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Fiodorov A, Muirhead S. Complete localisation and exponential shape of the parabolic Anderson model with Weibull potential field. ELECTRON J PROBAB 2014. [DOI: 10.1214/ejp.v19-3203] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Foondun M, Khoshnevisan D. An asymptotic theory for randomly forced discrete nonlinear heat equations. BERNOULLI 2012. [DOI: 10.3150/11-bej357] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Mörters P, Ortgiese M, Sidorova N. Ageing in the parabolic Anderson model. ANNALES DE L'INSTITUT HENRI POINCARÉ, PROBABILITÉS ET STATISTIQUES 2011. [DOI: 10.1214/10-aihp394] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Foondun M, Khoshnevisan D. Intermittence and nonlinear parabolic stochastic partial differential equations. ELECTRON J PROBAB 2009. [DOI: 10.1214/ejp.v14-614] [Citation(s) in RCA: 64] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Foondun M, Khoshnevisan D. Intermittence and nonlinear parabolic stochastic partial differential equations. ELECTRON J PROBAB 2009. [DOI: 10.1214/ejp.v14-614 mr2480553] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
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