Limit Theorems for Branching Diffusions in Hydrodynamical Rescaling
β Scribed by Peter Dittrich
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 555 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Saniniary. The hydrodyn:tniiciil limit is studied for infinite systems of BsowNian particles in Rd, d 2 3, which branch o:it at exponentially distributed tinies according t o a criticnl offspring distribution wii;h finite second moment. [n the second piirt LL central limit theorem for the hydrodynaniical fluctuations is tlcrived in the c : w , when the bmncliing mechanism has ii finite third moment.
π SIMILAR VOLUMES
By KLAUS FLEISCHMANN (Berlin) and UWE PREHN (Erfurt) (Eingegangen am 31.3.1976) \*) This paper does not presuppose the knowledge of part I ([9]) which deals with the critical case whereas here the subcritical case is treated.
## Abstract In this paper, we discussed a general multidimensional nonisentropic hydrodynamical model for semiconductors with small momentum relaxation time. The model is selfβconsistent in the sense that the electric field, which forms a forcing term in the momentum equation, is determined by the