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Grant 201/06/0302     1.1.2006 - 31.12.2008
Grantor: Grant Agency of Czech Republic (GACR)

Applied probability - stochastic geometry and metric tools

In applied probability the theory of random sets (stochastic geometry) will be developed; this will lead to new estimators of intrinsic volume densities both in stationary and non-stationary case. The quality of estimators of geometrical characteristics will be described by means of probability distances. The field of probability distances will be improved theoretically, some applications in biology are expected. Stochastic simulations present a complementary tool in stochastic geometry, their development will be directed to random tessellations. Interdisciplinary use of such models will lead to the characterization of the microstructure of nanomaterials. Five PhD students will participate at the solution of the project and an international conference will be organized.

 Main investigator:

Saxl Ivan

 Participating institutions:

Institute of Mathematics, AS CR,
Mathematical and Physical Faculty of the Charles University, Prague, MFF UK