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Structure and Evolution of Complex Systems with Applications in Physics and Life Sciences


The aim of the project is to make a major step-change in developing
novel effective tools for studying complex systems based on
stochastic geometry and stochastic evolution methods, on appropriate
methods of analysis and combinatorics, as well as on numerical
methods and computer simulations. The network we are going to create
will unite efforts of leading specialists in this area towards
scientific excellence, will establish new and strengthen existing
long-term collaboration links between them, and will train a new
generation of young researchers in this multidisciplinary area.

The proposed research is assumed to employ existing and to elaborate
new models of real-world object, and hence to have direct
applications. The systems we are going to study consist of large
number of interacting entities and may evolve in continuous space
and time. Both their structure and evolution are of our interest.
Such systems appear in broadly understood statistical physics,
including its industrial applications, in spatial ecology,
evolutionary and population biology, epidemiology, etc. In view of
this, along with mathematicians the network includes physicists and
biologists working with the corresponding experimental data and
experienced in modeling real world objects of the mentioned areas.
In this direction, we plan to study structure and properties of
complex networks, such as polymers, irregular and random graphs,
random fields on graphs, and their applications in the mentioned
areas. The microscopic evolution of complex systems of this type
will be studied in Markovian and time-delayed frameworks. Their
meso- and macroscopic dynamics will be deduced from the microscopic
theory by various types of scaling procedures. Along with systems of
interacting entities we will study objects which can be
characterized as evolving complex shapes, where methods of
stochastic geometry ought to be especially effective. Such models
have various applications, e.g. in neurogeometry and visua

Call for proposal

See other projects for this call


Pl marii curie sklodowskiej 5
20 031 Lublin

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Makroregion wschodni Lubelskie Lubelski
Activity type
Higher or Secondary Education Establishments
Administrative Contact
Aneta Wroblewska (Mrs.)
EU contribution
€ 173 700,00

Participants (5)