Reoccupation of space in system governed by the transition between steady and absorbing states

Speaker
Hila Bachar and Yoram Louzoun - Math, BIU
Date
20/11/2011 - 10:30Add to Calendar 2011-11-20 10:30:00 2011-11-20 10:30:00 Reoccupation of space in system governed by the transition between steady and absorbing states We here present 3 systems from completely different domains dominated by the same basic dynamics: Collapse to an absorbing state accompanied by reoccupation of space from neighboring points in space. The properties of these systems is dominated by their spatial parameters, such as the dimension and the diffusion rate. We study the competition between two types of yeast over the usage of complex sugars, where a cheater uses existing resources and does not contribute to the existence of the population. Another system we study is the usage of resources in modern economy. Finally, we study complex structure formation in a catalyst induced proliferation. We show that these very different systems are dominated by very similar dynamical principle. אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

We here present 3 systems from completely different domains dominated
by the same basic dynamics: Collapse to an absorbing state accompanied
by reoccupation of space from neighboring points in space. The
properties of these systems is dominated by their spatial parameters,
such as the dimension and the diffusion rate.

We study the competition between two types of yeast over the usage of
complex sugars, where a cheater uses existing resources and does not
contribute to the existence of the population. Another system we study
is the usage of resources in modern economy. Finally, we study complex
structure formation in a catalyst induced proliferation. We show that
these very different systems are dominated by very similar dynamical principle.

Last Updated Date : 06/02/2012