8 citations · 20 across the 8 of their papers we have counts for
8 papers
Foliations and Conjugacy II: The Mendes Conjecture for Time-One Maps of Flows
Jorge Groisman, and Zbigniew Nitecki
A diffeomorphism in the plane is Anosov if it has a hyperbolic splitting at every point of the plane. The two known topological conjugacy classes of…
Crossing Matrices of Positive Braids
Mauricio Gutierrez, Zbigniew Nitecki
The crossing matrix of a braid on strands is the integer matrix with zero diagonal whose entry is the algebraic number (positive minus negative) of crossings…
Foliations and Conjugacy:Anosov Structures in the plane
Jorge Groisman, Zbigniew Nitecki
In a non-compact setting, the notion of hyperbolicity, and the associated structure of stable and unstable manifolds (for unbounded orbits), is highly dependent on the choice of me…
Subsum Sets: Intervals, Cantor Sets, and Cantorvals
Zbigniew Nitecki
Given a sequence converging to zero, we consider the set of numbers which are sums of (infinite, finite, or empty) subsequences. When the original sequence is not absolutely summab…
On the genesis of symbolic dynamics as we know it
Ethan M. Coven, Zbigniew H. Nitecki
WE trace the beginning of symbolic dynamics--the study of the shift dynamical system--as it arose from the use of coding to study recurrence and transitivity properties of geodesic…
Topological entropy of m-fold maps on trees
Jozef Bobok, Zbigniew Nitecki
We establish the analogue for maps on trees of the result established in two papers by the first author for interval maps, that a continuous self- map for which all but countably m…