English

Conjecture of an information-response inequality

Biological Physics 2023-09-21 v2 Statistical Mechanics Mathematical Physics math.MP

Abstract

The invariant response was defined from a formulation of the fluctuation-response theorem in the space of probability distributions. An inequality is here conjectured which sets the mutual information as an upper bound to the invariant response, and its large information limit is proven. Applications to the thermodynamics of feedback control and to estimation theory are discussed.

Keywords

Cite

@article{arxiv.2308.09638,
  title  = {Conjecture of an information-response inequality},
  author = {Andrea Auconi},
  journal= {arXiv preprint arXiv:2308.09638},
  year   = {2023}
}

Comments

3 pages, 0 figures