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We obtain a large deviation principle for the stochastic differential equations on the sphere Sd associated with the critical Sobolev Brownian vector fields

international journal of stochastic analysis

Large Deviations for Stochastic Differential Equations on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:mrow></mml:math> Associated with the Critical Sobolev Brownian Vector Fields

Large Deviations for Stochastic Differential Equations on Sd Associated with the Critical Sobolev Brownian Vector Fields