A direct proof of Jauregui-Tsallis' conjecture
A. Plastino, M. C. Rocca
TL;DR
This paper provides a direct proof of Jauregui and Tsallis' conjecture regarding a new representation of the Dirac delta distribution using q-exponentials, employing tempered ultradistributions' theory.
Contribution
It offers the first direct proof of the conjecture, advancing the mathematical understanding of q-exponentials and their relation to the Dirac delta distribution.
Findings
Confirmed the conjecture using tempered ultradistributions' theory
Established a new representation of the Dirac delta distribution
Enhanced mathematical tools for q-exponential analysis
Abstract
We give here direct proof of a recent conjecture of Jauregui and Tsallis about a new representation of Dirac's delta distribution by means of q-exponentials. The proof is based in the use of tempered ultradistributions' theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.