Articles | Volume 30, issue 1
© Author(s) 2023. This work is distributed underthe Creative Commons Attribution 4.0 License.
Rain process models and convergence to point processes
- Final revised paper (published on 08 Mar 2023)
- Preprint (discussion started on 28 Sep 2022)
Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor |
: Report abuse
- RC1: 'Comment on egusphere-2022-865', Anonymous Referee #1, 20 Oct 2022
- RC2: 'Comment on egusphere-2022-865', Anonymous Referee #2, 21 Oct 2022
- RC3: 'Comment on egusphere-2022-865', Anonymous Referee #3, 31 Oct 2022
- AC1: 'Author Comments on egusphere-2022-865', Scott Hottovy, 30 Dec 2022
Peer review completion
AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
AR by Scott Hottovy on behalf of the Authors (30 Dec 2022) Author's response Author's tracked changes Manuscript
ED: Referee Nomination & Report Request started (17 Jan 2023) by Balasubramanya Nadiga
RR by Anonymous Referee #2 (06 Feb 2023)
ED: Publish as is (14 Feb 2023) by Balasubramanya Nadiga
AR by Scott Hottovy on behalf of the Authors (16 Feb 2023)
Review of "Rain process models and convergence to point processes" by Scott Hottovy and Samuel N. Stechmann
discusses the convergence of two coupled diffusion processes, with different diffusion and drift coefficients,
to a point process, when one drift term diverges to infinity.
(1) The identification with a rain process is questionable as the humidity in the model takes negative values.
A few of my question are:
(2) In line 45 the authors state that "D_0 and D_1 are the fluctuations"; no, they are the diffusion coefficients.
Are these coefficients time dependent ?
(3) I do not understand the boundary conditions (13), if the densities are zero the process will never reach this states
and there will never be a jump ? (shouldn't the derivative vanish rather than the value?)
(4) The pdf should converge to a stationary state, a time independent pdf? I think that it can be obtained analytically.
This important point is not discussed and I do not understand why the time dependence
of the pdf is kept in the calculations of the pdf?
There are many points in the paper which I do not understand and the authors should consider sending the paper
to a mathematical journal specialized in stochastic processes.