The Reidemeister, Nielsen zeta functions and the Reidemeister torsion in dynamical systems theory
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 1, Tome 193 (1991), pp. 119-142
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This article is continuation of the author's previous studies on the new dynamical zeta functions connected with the Nielsen fixed point theory. The connection of these zeta functions with the Reidemeister torsion is established in special cases. The Reidemeister forstion both of the level surface of a Lyapunov function and the attraction domain of an attractor is calculated as a special value of the twisted Lefschetz zeta function.
@article{ZNSL_1991_193_a7,
author = {A. L. Fel'shtyn},
title = {The {Reidemeister,} {Nielsen} zeta functions and the {Reidemeister} torsion in dynamical systems theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {119--142},
publisher = {mathdoc},
volume = {193},
year = {1991},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_193_a7/}
}
TY - JOUR AU - A. L. Fel'shtyn TI - The Reidemeister, Nielsen zeta functions and the Reidemeister torsion in dynamical systems theory JO - Zapiski Nauchnykh Seminarov POMI PY - 1991 SP - 119 EP - 142 VL - 193 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1991_193_a7/ LA - ru ID - ZNSL_1991_193_a7 ER -
A. L. Fel'shtyn. The Reidemeister, Nielsen zeta functions and the Reidemeister torsion in dynamical systems theory. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 1, Tome 193 (1991), pp. 119-142. http://geodesic.mathdoc.fr/item/ZNSL_1991_193_a7/