<----Yes, it is me at 1999 PRODYN conference in Stefan Banach Center , Warsaw, Poland. The photo was taken by Michal Misiurewicz himself, and I am in a good company: on the left Anthony Manning, on the right Stefan Banach. ----> And here I am at Banff International Research Station attending conference Measurable Dynamics, Theory and Applications, August 5-10,2006. |
Current Research Projects:
*) Maps with memory and resulting higher dimensional families of
maps.
1) Invariant measures (mainly absolutely continuous) for
multi-valued maps.
2) Random maps approach to systems with holes or meta stable
systems.
3) Chaotic properties inherited by lower dimensional subsystems
from their higher dimensional "parent systems".
4) Absolutely continuous invariant measures for piecewise linear
maps.
5) Submaximal eigenvalues and implications of their existence.
Smith-Slatkin
model bifurcations
Newest preprints: Quasi-compactness of
Frobenius-Perron Operator for Piecewise Convex Maps with
Countable Branches
Existence of ACIM for Piecewise Expanding $C^{1+\varepsilon}$
maps
Preprint : ACIM
on periodic islands.
Island 0: 6 billion points and all
175 islands numbered (island k = G^k(island 0))
More islands: Island 1
, Island 8, Island
15, Island 64, Island 75, Island
92, Island 106
G-map or Maps with
Memory
Preprint: Family of W-maps
and even
newer Succesive
Maxima Map
Preprint: Metastable Systems as Random Maps
Market game program
and Corresponding preprint
Preprint: A random map
description for quantum superposition
N-band maps model : Maple programs
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