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Georgiou N, Wade AR. Deposition, diffusion, and nucleation on an interval. ANN APPL PROBAB 2022. [DOI: 10.1214/22-aap1804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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Coupier D, Saha K, Sarkar A, Tran VC. The 2d-directed spanning forest converges to the Brownian web. ANN PROBAB 2021. [DOI: 10.1214/20-aop1478] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Bell J. Time-reversal of coalescing diffusive flows and weak convergence of localized disturbance flows. ELECTRON J PROBAB 2020. [DOI: 10.1214/20-ejp500] [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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Coupier D, Marckert JF, Chi Tran V. Directed, cylindric and radial Brownian webs. ELECTRON J PROBAB 2019. [DOI: 10.1214/18-ejp255] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Abstract
Existence of random dynamical systems for a class of coalescing stochastic flows on [Formula: see text] is proved. A new state space for coalescing flows is built. As particular cases coalescing flows of solutions to stochastic differential equations and coalescing Harris flows are considered.
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Affiliation(s)
- Georgii V. Riabov
- Department of the Theory of Stochastic Processes, Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereschenkivska st., Kyiv-4, 01004, Ukraine
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