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Comments on Symplectic bipotentials arXiv:2410.23122

Marius Buliga

Abstract

This is a reaction to the article Symplectic bipotentials, in published form [2] and in preprint form [1] arXiv:2410.23122v1. We give evidence that most of the content of the article [2] is already covered in previous works, partially cited like [7] arXiv:0810.1419 [math.FA], or uncited, like [10] arXiv:1902.04598 [math-ph], [3] arXiv:2304.14158 [math-ph], which already introduced and studied symplectic bipotentials.

Comments on Symplectic bipotentials arXiv:2410.23122

Abstract

This is a reaction to the article Symplectic bipotentials, in published form [2] and in preprint form [1] arXiv:2410.23122v1. We give evidence that most of the content of the article [2] is already covered in previous works, partially cited like [7] arXiv:0810.1419 [math.FA], or uncited, like [10] arXiv:1902.04598 [math-ph], [3] arXiv:2304.14158 [math-ph], which already introduced and studied symplectic bipotentials.
Paper Structure (5 sections, 3 theorems, 23 equations)

This paper contains 5 sections, 3 theorems, 23 equations.

Table of Contents

  1. Introduction
  2. Context.
  3. Acknowledgements.
  4. Preliminaries
  5. Detailed comments

Key Result

Proposition 3.5

The information content function (icfun) satisfies the conditions from Definition likelyprop if and only if the function is a bipotential, i.e. it satisfies: for any $z \in X \times Y$,

Theorems & Definitions (12)

  • Definition 2.1
  • Definition 2.2
  • Definition 3.1
  • Definition 3.2
  • Definition 3.3
  • Definition 3.4
  • Proposition 3.5
  • Definition 3.6
  • Theorem 3.7
  • Definition 3.8
  • ...and 2 more