Fisher and Shannon Functionals for Hyperbolic Diffusion
  • View Times: 403
  • |
  • Release Date: 2024-08-05
Entropy Journal Video Abstracts
On Magnetic Models in Wavefunction Ensembles
On Magnetic Models in Wavefunction Ensembles
04:06
Optimized Joint Design for Probabilistic Semantic Communications
Optimized Joint Design for Probabilistic Semantic Communications
04:59
Fisher and Shannon Functionals for Hyperbolic Diffusion
Fisher and Shannon Functionals for Hyperbolic Diffusion
04:49
An Entropy Generation Rate Model for Tropospheric Behavior
An Entropy Generation Rate Model for Tropospheric Behavior
03:16
Entropy and Multifractal Systems in Finance
Entropy and Multifractal Systems in Finance
04:57
Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
06:09
The Information Bottleneck’s Ordinary Differential Equation
The Information Bottleneck’s Ordinary Differential Equation
06:56
Integrated Information Theory 4.0’s Realist Idealism
Integrated Information Theory 4.0’s Realist Idealism
05:53
A Fluid Perspective of Relativistic Quantum Mechanics
A Fluid Perspective of Relativistic Quantum Mechanics
09:22
Experimental Evidence for Double Quaternary Azeotropy’s Existence
Experimental Evidence for Double Quaternary Azeotropy’s Existence
05:57
Oyster Non-Kochen-Specker Contextuality
Oyster Non-Kochen-Specker Contextuality
05:57
Origins of Genetic Coding
Origins of Genetic Coding
07:56
Tensor-Based Cooperative MIMO Communication Systems
Tensor-Based Cooperative MIMO Communication Systems
05:34
Voter-like Dynamics with Conflicting Preferences on Modular Networks
Voter-like Dynamics with Conflicting Preferences on Modular Networks
06:04
The Entropy Density Behavior across a Plane Shock Wave
The Entropy Density Behavior across a Plane Shock Wave
06:03
Autonomic Nervous System Influences on Cardiovascular Self-Organized Criticality
Autonomic Nervous System Influences on Cardiovascular Self-Organized Criticality
04:57
Algal Bloom Ties
Algal Bloom Ties
03:31
Gear Shifting in Biological Energy Transduction
Gear Shifting in Biological Energy Transduction
06:04
Quantum Advantage of Thermal Machines with Bose and Fermi Gases
Quantum Advantage of Thermal Machines with Bose and Fermi Gases
05:04
Experimental Counterexample to Bell’s Locality Criterion
Experimental Counterexample to Bell’s Locality Criterion
05:02
Information, Entropy, Life, and the Universe
Information, Entropy, Life, and the Universe
05:07
Replication in Energy Markets
Replication in Energy Markets
05:08
Event-by-Event Lévy Femtoscopy With EPOS
Event-by-Event Lévy Femtoscopy With EPOS
05:06
Human Fast Continuous Tapping from Trajectories
Human Fast Continuous Tapping from Trajectories
04:55
Dynamics of Remote Communication
Dynamics of Remote Communication
03:23
Phase-Amplitude Relations for a Particle
Phase-Amplitude Relations for a Particle
05:53
Energy Renewal
Energy Renewal
13:18
Categorical Smoothness of 4-Manifolds
Categorical Smoothness of 4-Manifolds
03:56
Dynamic Risk Prediction
Dynamic Risk Prediction
04:36
The Law of Entropy Increase and the Meissner Effect
The Law of Entropy Increase and the Meissner Effect
04:32
Word2vec Skip-Gram Dimensionality Selection
Word2vec Skip-Gram Dimensionality Selection
03:06
Victory Tax: A Holistic Income Tax System
Victory Tax: A Holistic Income Tax System
05:00
Playlist
  • hyperbolic diffusion
  • telegrapher’s equation
  • Shannon entropy
  • Fisher information
  • Cramer-Rao bound
Video Introduction

This video is adapted from 10.3390/e25121627

The complexity measure for the distribution in space-time of a finite-velocity diffusion process is calculated. Numerical results are presented for the calculation of Fisher’s information, Shannon’s entropy, and the Cramér–Rao inequality, all of which are associated with a positively normalized solution to the telegrapher’s equation. In the framework of hyperbolic diffusion, the non-local Fisher’s information with the x-parameter is related to the local Fisher’s information with the t-parameter. A perturbation theory is presented to calculate Shannon’s entropy of the telegrapher’s equation at long times, as well as a toy model to describe the system as an attenuated wave in the ballistic regime (short times).

Full Transcript
1000/1000
Hot Most Recent
©Text is available under the terms and conditions of the Creative Commons-Attribution ShareAlike (CC BY-SA) license; additional terms may apply. By using this site, you agree to the Terms and Conditions and Privacy Policy.

Confirm

Are you sure to Delete?
Yes No
Cite
If you have any further questions, please contact Encyclopedia Editorial Office.
Caceres, M.O.; Nizama, M.; Pennini, F. Fisher and Shannon Functionals for Hyperbolic Diffusion. Encyclopedia. Available online: https://encyclopedia.pub/video/video_detail/1329 (accessed on 15 November 2024).
Caceres MO, Nizama M, Pennini F. Fisher and Shannon Functionals for Hyperbolic Diffusion. Encyclopedia. Available at: https://encyclopedia.pub/video/video_detail/1329. Accessed November 15, 2024.
Caceres, Manuel Osvaldo, Marco Nizama, Flavia Pennini. "Fisher and Shannon Functionals for Hyperbolic Diffusion" Encyclopedia, https://encyclopedia.pub/video/video_detail/1329 (accessed November 15, 2024).
Caceres, M.O., Nizama, M., & Pennini, F. (2024, August 05). Fisher and Shannon Functionals for Hyperbolic Diffusion. In Encyclopedia. https://encyclopedia.pub/video/video_detail/1329
Caceres, Manuel Osvaldo, et al. "Fisher and Shannon Functionals for Hyperbolic Diffusion." Encyclopedia. Web. 05 August, 2024.
ScholarVision Creations
Feedback