|
|
|
|
Список литературы
|
|
| |
| 1. |
Albeverio S., Bogachev L. V., “Branching random walk in a catalytic medium. I. Basic equations”, Positivity, 4:1 (2000), 41–100     |
| 2. |
Albeverio S., Bogachev L. V., Yarovaya E. B., “Asymptotics of branching symmetric random walk on the lattice with a single source”, C. R. Acad. Sci. Paris, 326:8 (1998), 975–980  |
| 3. |
Богачев Л. В., Яровая Е. Б., “Предельная теорема для надкритического ветвящегося случайного блуждания на $\mathbb Z^d$ с одним источником”, Успехи матем. наук, 53:5 (1998), 231–232  |
| 4. |
Богачев Л. В., Яровая Е. Б., “О моментах ветвящегося случайного блуждания в случайной среде”, Успехи матем. наук, 55:5 (2000), 173–174 |
| 5. |
Faà di Bruno F., “Note sur une nouvelle formule de calcul différentiel”, Quart. J. Pure Appl. Math., 1 (1858), 359–360 |
| 6. |
Dawson D. A. and Fleischmann K., “Longtime behavior of a branching process controlled by branching catalysts”, Stochastic Process. Appl., 71 (1997), 241–257 |
| 7. |
Delmas J.-F., “Super-mouvement brownien avec catalyse”, Stochastics Stochastics Rep., 58:3–4 (1996), 303–347 |
| 8. |
Erickson K. B., “Strong renewal theorem with infinite mean”, Trans Amer. Math. Soc., 151:1 (1970), 263–291 |
| 9. |
Fleischmann K., “Superprocesses in catalytic media”, Measure-Valued Processes, Stochastic Partial Differential Equations, and Interacting Systems (Montreal, PQ, 1992), CRM Proc. Lecture Notes, 5, Amer. Math. Soc., Providence, 1994, 99–110 |
| 10. |
Fleischmann K., Le Gall J. F., “A new approach to the single point catalytic super-Brownian motion”, Probab. Theory Related Fields, 102:1 (1995), 63–82 |
| 11. |
Vatutin V. A., Xiong J., “Some limit theorems for a particle system of single point catalytic branching random walks”, Acta Math. Sin. (Engl. Ser.), 23:6 (2007), 997–1012 |
| 12. |
Vatutin V. A., Topchii V. A., Yarovaya E. B., “Catalytic branching random walk and queueing systems with random number of independent servers”, Theory Probab. Math. Statist., 16 (2004), 1–15 |
| 13. |
Topchii V. A., Vatutin V. A., “Individuals at the origin in the critical catalytic branching random walk”, Discrete Random Walks (Paris, 2003), MIMD, Paris, 2003, 325–332 |
| 14. |
Topchii V. A., Vatutin V. A., “Two-dimensional limit theorem for a critical catalytic branching random walk”, Mathematics and Computer Science III. Algorithms, Trees, Combinatorics and Probabilities, eds. M. Drmota et al., Birkhauser, Basel, 2004, 387–395 |
| 15. |
Ватутин В. А., Топчий В. А., “Предельная теорема для критических каталитических ветвящихся случайных блужданий”, Теория вероятн. и ее примен., 49:3 (2004), 461–484 |
| 16. |
Ватутин В. А., Топчий В. А., “Каталитическое ветвящееся случайное блуждание на $\mathbb Z^d$ с ветвлением только в начале координат”, Матем тр., 14:2 (2011) (в печати) |
