A. Pawe̷l Wojda, Instytut Matematyki, Akademia Górniczo-hutnicza, Günter Schaar, Tu Bergakademie Freiberg
Let D be a strongly k−connected digraph of order n ≥ 2. We prove that for every l ≥ n 2k the power Dl of D is Hamiltonian. Moreover, for any n> 2k ≥ 2 we exhibit strongly k-connected...
Mean Dynamical Entropy of Quantum System Tends to Infinity in the Semiclassical Limit (2007)
Wojciech Slomczynski, Karol Zyczkowski, Instytut Matematyki
We show that the mean dynamical entropy of a quantum map on the sphere tends logarithmically to infinity in the semiclassical limit. Consequences of this fact for classical dynamical systems are...
TRIGONOMETRIC SPLINES AND GEOMETRIC CONTINUITY OF SURFACES (2007)
Instytut Matematyki, Stosowanej Mechaniki, Uniwersytet Warszawski
Trigonometric splines are introduced as a tool for description of a smooth surface in a neighbourhood of a common corner of patches being the surface components. This description, developed for the...
Jan Stochel, F. H. Szafraniec, Instytut Matematyki, Ul. Reymonta
The Schrodinger-Weyl representation of the canonical commutation relation is circulary invariant in a sense. Here, as a continuation of 5, we show the converse.
Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals (2007)
Alina Kargol, Instytut Matematyki, Yuri Kondratiev, Yuri Kozitsky
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based...
On a generalization of the Conley index (1999)
Marian Mrozek, Instytut Informatyki, James F. Reineck, Roman Srzednicki, Instytut Matematyki
y Supported by KBN, Grant 2 P03A 040 10. 1 1
On local classification of Goursat structures (1998)
Mohamad Cheaito, Piotr Mormul, William PASILLAS-LEPINE, William Pasillas-l, Witold RESPONDEK, Instytut Matematyki, ...
Goursat structures are the dual objects of E. Cartan's "special" systems (also called "en drapeau" in [7]). We prove that the growth vector is not a complete local invariant...
The Conley Index Over The Circle (1997)
Marian Mrozek, Instytut Informatyki, James F. Reineck, Roman Srzednicki, Instytut Matematyki
We study the Conley index over a base in the case when the base is the circle. Such an index arises in a natural way when the considered flow admits a Poincar'e section. In that case the...
The Conley Index Over A Base (1996)
Marian Mrozek, Instytut Informatyki, James F. Reineck, Roman Srzednicki, Instytut Matematyki
We construct a generalization of the Conley index for flows. The new index preserves information which in the classical case is lost in the process of collapsing the exit set to a point. The new...
Southern California, Tadeusz Kuczumow, Tadeusz Kuczumow, Simeon Reich, Simeon Reich, Adam Stachura, ...
Let D be an open convex bounded subset of a complex Banach space #X#k#k## and let C be the union of a #nite number of closed convex sets lying strictly inside D# Using the Kuratowski measure of...
The Conley Index Over The Circle
Marian Mrozek Instytut, Marian Mrozek, Instytut Informatyki, James F. Reineck, Roman Srzednicki, Instytut Matematyki
We study the Conley index over a base in the case when the base is the circle. Such an index arises in a natural way when the considered flow admits a Poincar'e section. In that case the...