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Article
Peer-Review Record

Fractional Criticality Theory and Its Application in Seismology

Fractal Fract. 2023, 7(12), 890; https://doi.org/10.3390/fractalfract7120890
by Boris Shevtsov *,† and Olga Sheremetyeva †
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Fractal Fract. 2023, 7(12), 890; https://doi.org/10.3390/fractalfract7120890
Submission received: 10 November 2023 / Revised: 3 December 2023 / Accepted: 14 December 2023 / Published: 18 December 2023

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The paper is devoted to application of the power-law compound and time-fractional Poisson process for modelling critical phenomena, 

including seismic ones. Apart from theoretical considerations, the authors show the usefulness of this model in practice. 

 

The article can be useful from a practical point of view. Moreover, it fits within the scope of Fractal Fract. However, it requires a minor revision.

 

Remarks 

 

  1. Please briefly describe the other sections of the paper in Introduction.
  2. Subsection 2.1: Please describe a compound fractional Poisson process in more detail. In particular, please introduce the filtered probability space on which this process is defined and present the role of the parameter j. 
  3. Please outline further research plans in Conclusions.

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

see attached file

Comments for author File: Comments.pdf

Comments on the Quality of English Language

Some typos and little errors but looks overall ok.

Author Response

We thank the reviewer for his comment.

Please see the attachment.

Author Response File: Author Response.pdf

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