33 citations · 69 across the 11 of their papers we have counts for
13 papers
Coefficients of Catalan States of Lattice Crossing II: Applications of -state Expansions
Mieczyslaw K. Dabkowski, Cheyu Wu
Plucking polynomial of a plane rooted tree with a delay function was introduced in 2014 by J.H.~Przytycki. As shown in this paper, plucking polynomial factors when satisfie…
Coefficients of Catalan States of Lattice Crossing I: -state Expansion
Mieczyslaw K. Dabkowski, Cheyu Wu
Plucking polynomial for plane rooted trees was introduced by J.H. Przytycki in 2014. As it was shown later, this polynomial can be used to find coefficients of Catalan state…
Inversion of the Indefinite Double Covering Map
Francis Adjei, Mieczyslaw Dabkowski, Samreen Khan +1
Algorithmic methods for the explicit inversion of the indefinite double covering maps are proposed. These are based on either the Givens decomposition or the polar decomposition of…
Catalan States of Lattice Crossing: Application of Plucking Polynomial
Mieczyslaw K. Dabkowski, Jozef H. Przytycki
For a Catalan state of a lattice crossing with no returns on one side, we find its coefficient in the Relative Kauffman Bracket Skein…
Multiple Periodic Solutions for -symmetric Newtonian Systems
Mieczyslaw Dabkowski, Wieslaw Krawcewicz, Yanli Lv +1
The existence of periodic solutions in -symmetric Newtonian systems can be effectively studied by means of the -equivariant gradient degr…
Catalan States of Lattice Crossing
Mieczyslaw K. Dabkowski, Changsong Li, Jozef H. Przytycki
For a Lattice crossing we show which Catalan connection between points on boundary of rectangle can be realized as a Kau…