Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Zuparic M"'
We examine analytically and numerically a variant of the stochastic Kuramoto model for phase oscillators coupled on a general network. Two populations of phased oscillators are considered, labelled `Blue' and `Red', each with their respective network
Externí odkaz:
http://arxiv.org/abs/1609.09554
Autor:
Kalloniatis, A. C., Zuparic, M. L.
We examine a modification of the Kuramoto model for phase oscillators coupled on a network. Here, two populations of oscillators are considered, each with different network topologies, internal and cross-network couplings and frequencies. Additionall
Externí odkaz:
http://arxiv.org/abs/1511.05230
Autor:
Zuparic, M.
We analytically solve for the time dependent solutions of various density evolution models. With specific forms of the diffusion, drift and sink coefficients, the eigenfunctions can be expressed in terms of hypergeometric functions. We obtain the rel
Externí odkaz:
http://arxiv.org/abs/1407.6434
We discuss the $F$-matrices associated to the $R$-matrix of a general $N$-state vertex model whose statistical configurations encode $N-1$ U(1) symmetries. The factorization condition is shown for arbitrary weights being based only on the unitarity p
Externí odkaz:
http://arxiv.org/abs/1111.4675
Autor:
Martins, M. J., Zuparic, M.
We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unitarity and Yang-Baxter relations, avoiding any specific parameterizatio
Externí odkaz:
http://arxiv.org/abs/1106.0852
Autor:
Zuparic, M
The following work is an exploration into certain topics in the broad world of integrable models, both classical and quantum, and consists of two main parts of roughly equal length. The first part, consisting of chapters 1-3, concerns itself mainly w
Externí odkaz:
http://arxiv.org/abs/0908.3936
Autor:
Zuparic, M.
Publikováno v:
J.Stat.Mech.0908:P08010,2009
We show that the scalar product of the phase model is a (restricted) 2-Toda tau-function. Additionally, we highlight a correspondence between the boundary correlation functions of the model and the wave-functions of the hierarchy.
Comment: 20 pa
Comment: 20 pa
Externí odkaz:
http://arxiv.org/abs/0906.3358
Publikováno v:
Nuclear Physics B 820 [FS] (2009) 649--663
Using a Jacobi-Trudi-type identity, we show that the scalar product of a general state and a Bethe eigenstate in a finite-length XXZ spin-1/2 chain is (a restriction of) a KP tau function. This leads to a correspondence between the eigenstates and po
Externí odkaz:
http://arxiv.org/abs/0903.2611
Publikováno v:
J. Stat. Mech. (2009) P03017
We observe that the partition function of the six vertex model on a finite square lattice with domain wall boundary conditions is (a restriction of) a KP tau function and express it as an expectation value of charged free fermions (up to an overall n
Externí odkaz:
http://arxiv.org/abs/0901.2251
Publikováno v:
Journal of Algebra 321 (2009) 3249--3273
We use free fermion methods to re-derive a result of Okounkov and Reshetikhin relating charged fermions to random plane partitions, and to extend it to relate neutral fermions to strict plane partitions.
Comment: 21 pages, figures included in la
Comment: 21 pages, figures included in la
Externí odkaz:
http://arxiv.org/abs/0808.2737