Документ взят из кэша поисковой машины. Адрес оригинального документа : http://new.math.msu.su/department/probab/bsk_22_12.doc Дата изменения: Mon May 24 10:26:45 2010 Дата индексирования: Sat Apr 9 23:55:31 2016 Кодировка: koi8-r

Кафедра ТЕОРИИ ВЕРОЯТНОСТЕЙ











БОЛЬШОЙ СЕМИНАР


КАФЕДРЫ ТЕОРИИ ВЕРОЯТНОСТЕЙ

(руководитель - член-корр. РАН, профессор А.Н. Ширяев)


Заседание 26 мая



Stanislav Molchanov (UNCC) Limit theorems for the reaction-diffusion

equations with the infinite number of the particles


Abstract.

We consider the mathematical models of the bio-populations homogeneous in
space and time.

The stochastic dynamics of such populations includes the birth and death
processes, the

migration and the immigration. The direct interaction between the species
is excluded (like

usually in the theory of the branching process), however the death-birth
mechanism generates

some kind of the mean-field attraction between the species (in the spirit
of FKG property). We

prove the existence of the limiting distribution, which in the dimension d
= 2 requires either a

very active migration or a very active immigration. The limit theorems for
the equilibrium state

include CLT and the intermittency results in the case of low density
populations ("patches"). The

class of the models under consideration includes continuous "contact model"
which was

introduced and studied recently by Yu. Kondratiev, S. Pirogov, A.Skorokhod
and others.







Семинар проводится по средам в аудитории 16-24 с 16:45 до 17:45.





Координатором семинара на весенний семестр 2010 года назначен

д.ф.-м.н. Сергей Анатольевич Пирогов (e-mail: pirogov@mail.ru),

секретарем семинара-Айгуль Тилековна Абакирова (e-mail:abakirova@gmail.com)