TL;DR
This paper introduces the q-Laplace transform, a new mathematical tool in Tsallis' framework, exploring its properties, examples, and applications to q-Gaussians and q-partition functions.
Contribution
The paper presents the q-Laplace transform, a novel extension of the classical Laplace transform within Tsallis' nonextensive statistical mechanics.
Findings
Derived the q-partition function using the q-Laplace transform
Analyzed properties of the q-Laplace transform with examples
Applied the transform to q-Gaussian distributions
Abstract
We introduce here the q-Laplace transform as a new weapon in Tsallis' arsenal, discussing its main properties and analyzing some examples. The q-Gaussian instance receives special consideration. Also, we derive the q-partition function from the q-Laplace transform.
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.