dr Adrian Myszkowski
Employment
 Assistant Professor at Instytut Matematyki Stosowanej
 20170902  present at Assistant Faculty of Applied Physics and Mathematics Gdańsk University of Technology
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 adrian.myszkowski@pg.edu.pl
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Gmach B
room 502 open in new tab  adrian.myszkowski@pg.edu.pl
Publication showcase

Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms
We apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of Morse–Smale diffeomorphisms. Applying this approach we present an algorithmic method of finding the family of minimal sets of Lefschetz periods for Ng, a nonorientable compact surfaces without boundary of genus g. We also partially confirm the conjecture of Llibre and Sirvent (J Diff...

Minimal Sets of Lefschetz Periods for MorseSmale Diffeomorphisms of a Connected Sum of g Real Projective Planes
The dataset titled Database of the minimal sets of Lefschetz periods for MorseSmale diffeomorphisms of a connected sum of g real projective planes contains all of the values of the topological invariant called the minimal set of Lefschetz periods, computed for MorseSmale diffeomorphisms of a nonorientable compact surface without boundary of genus g (i.e. a connected sum of g real projective planes), where g varies from 1 to...

Computations of the least number of periodic points of smooth boundarypreserving selfmaps of simplyconnected manifolds
Let $r$ be an odd natural number, $M$ a compact simplyconnected smooth manifold, $\dim M\geq 4$, such that its boundary $\partial M$ is also simplyconnected. We consider $f$, a $C^1$ selfmaps of $M$, preserving $\partial M$. In [G. Graff and J. Jezierski, Geom. Dedicata 187 (2017), 241258] the smooth Nielsen type periodic number $D_r(f;M,\partial M)$ was defined and proved to be equal to the minimal number of $r$periodic points...
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