On flows associated to Tanaka's SDE and related works
Hatem Hajri
TL;DR
This paper reviews the construction of flows related to Tanaka's SDE, providing simplified proofs for classification and related results, thereby clarifying and streamlining previous complex arguments in the literature.
Contribution
It offers a simplified proof of the classification of flows associated with Tanaka's SDE using probability measures, improving understanding and accessibility.
Findings
Classification of flows via probability measures on [0, 1]
Simplified proofs of existing results in Tanaka's SDE literature
Enhanced clarity in the construction and analysis of associated flows
Abstract
We review the construction of flows associated to Tanaka's SDE from [9] and give an easy proof of the classification of these flows by means of probability measures on [0, 1]. Our arguments also simplify some proofs in the subsequent papers [2, 3, 7, 4].
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows · Random Matrices and Applications