3 papers
math-ph2001
The Hamiltonian structure of discrete KP equations
Ali Ulas Ozgur Kisisel
This paper investigates Hamiltonian properties of the algebro-geometric discretization of KP hierarchy introduced in \cite{Gie1}. A Poisson bracket is introduced. The system is rel…
math-ph2001
On an algebro-geometric discretization of KP hierarchy
Ali Ulas Ozgur Kisisel
This paper studies a certain completely integrable discretization of the KP hierarchy. This was constructed by Gieseker in \cite{Gie1}, from certain algebro-geometric data. This pa…
math.CO2000
Polyomino convolutions and tiling problems
Ali Ulas Ozgur Kisisel
We define a convolution operation on the set of polyominoes and use it to obtain a criterion for a given polyomino not to tile the plane (rotations and translations allowed). We ap…