Moment asymptotics for super-Brownian motions
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Bibliographic record
Abstract
In this paper, long-time and high-order moment asymptotics for super-Brownian motions (sBm’s) are studied. By using a moment formula for sBm’s (e.g. (Ann. Appl. Probab. 33 (2023) 3872–3915, Theorem 3.1)), precise upper and lower bounds for all positive integer moments at any time t > 0 of sBm’s for certain initial conditions are achieved. Then, the moment asymptotics as time goes to infinity or as the moment order goes to infinity follow immediately. Additionally, as an application of the two-sided moment bounds, the tail probability estimates of sBm’s are obtained.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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