Authors construct strong solutions to ISDEs for Coulomb interacting Brownian motions in d ≥ 2 and β > 0, proving pathwise uniqueness and showing the dynamics arise as limits of finite-particle approximations via reflecting domains and N-particle systems.
Theory Related Fields 188 (2024), no
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Infinite-dimensional stochastic differential equations for Coulomb random point fields
Authors construct strong solutions to ISDEs for Coulomb interacting Brownian motions in d ≥ 2 and β > 0, proving pathwise uniqueness and showing the dynamics arise as limits of finite-particle approximations via reflecting domains and N-particle systems.