Add to ORKGWe give a proof of the periodicity of Zamolodchikov's Y-system in the AxA case using an interpretation of the system as a condition of flatness of a certain graph connection. In our approach, the periodicity property appears as an identity among representations of a matrix as products of two-diagonal matrice
This dissertation presents connections between cluster algebras and discrete integrable systems, esp...
We define nonautonomous graphs as a class of dynamic graphs in discrete time whose time-dependence c...
We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In par...
We give a proof of the periodicity of Zamolodchikov's Y-system in the AxA case using an interpretati...
The goals of this paper are two-fold. First, we prove, for an arbitrary finite root system Φ, the pe...
Abstract Zamolodchikov periodicity is a property of T- and Y-systems, arising in the ...
13 pagesWe give a proof of the periodicity of quantum T-systems of type An × A with certain spiral b...
We prove that the sequence of the characters of the Kirillov–Reshetikhin (KR) modules Wm(a), m ∈ ℤ a...
This is an introduction to some aspects of Fomin-Zelevinsky's cluster algebras and their links with ...
From the bipartite belt of a cluster algebra one may obtain generalisations of frieze patterns. It h...
A coupled cell network is a directed graph whose nodes represent dynamical systems and whose directe...
AbstractA unified presentation of periodicity and ultimate periodicity of D0L systems is given. Boun...
In this paper we introduce a new modification of the Jacobi-Perron algorithm in three dimensional ca...
There are two parts to this dissertation. The first topic comprises Chapter two of this document, wh...
In [9] Hendrickson proved that (d+1)-connectivity and redundant rigidity are necessary conditions fo...
This dissertation presents connections between cluster algebras and discrete integrable systems, esp...
We define nonautonomous graphs as a class of dynamic graphs in discrete time whose time-dependence c...
We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In par...
We give a proof of the periodicity of Zamolodchikov's Y-system in the AxA case using an interpretati...
The goals of this paper are two-fold. First, we prove, for an arbitrary finite root system Φ, the pe...
Abstract Zamolodchikov periodicity is a property of T- and Y-systems, arising in the ...
13 pagesWe give a proof of the periodicity of quantum T-systems of type An × A with certain spiral b...
We prove that the sequence of the characters of the Kirillov–Reshetikhin (KR) modules Wm(a), m ∈ ℤ a...
This is an introduction to some aspects of Fomin-Zelevinsky's cluster algebras and their links with ...
From the bipartite belt of a cluster algebra one may obtain generalisations of frieze patterns. It h...
A coupled cell network is a directed graph whose nodes represent dynamical systems and whose directe...
AbstractA unified presentation of periodicity and ultimate periodicity of D0L systems is given. Boun...
In this paper we introduce a new modification of the Jacobi-Perron algorithm in three dimensional ca...
There are two parts to this dissertation. The first topic comprises Chapter two of this document, wh...
In [9] Hendrickson proved that (d+1)-connectivity and redundant rigidity are necessary conditions fo...
This dissertation presents connections between cluster algebras and discrete integrable systems, esp...
We define nonautonomous graphs as a class of dynamic graphs in discrete time whose time-dependence c...
We study Fomin-Zelevinsky's mutation rule in the context of noncrystallographic root systems. In par...