Integrable matrix models in discrete space-time
نویسندگان
چکیده
منابع مشابه
Integrable Discrete Linear Systems and One - Matrix Random Models
In this paper we analyze one–matrix models by means of the associated discrete linear systems. We see that the consistency conditions of the discrete linear system lead to the Virasoro constraints. The linear system is endowed with gauge invariances. We show that invariance under time–independent gauge transformations entails the integrability of the model, while the double scaling limit is con...
متن کاملDiscrete Hirota’s equation in quantum integrable models
The recent progress in revealing classical integrable structures in quantummodels solved by Bethe ansatz is reviewed. Fusion relations for eigenvalues of quantum transfer matrices can be written in the form of classical Hirota’s bilinear difference equation. This equation is also known as the completely discretized version of the 2D Toda lattice. We explain how one obtains the specific quantum ...
متن کاملFe b 20 09 CLASSICAL INTEGRABLE FIELD THEORIES IN DISCRETE 2 + 1 DIMENSIONAL SPACE - TIME
We study “circular net” (discrete orthogonal net) equations for angular data generalized by external spectral parameters. A criterion defining physical regimes of these Hamiltonian equations is the reality of Lagrangian density. There are four distinct regimes for fields and spectral parameters classified by four types of spherical or hyperbolic triangles. Non-zero external spectral parameters ...
متن کاملContinuous - Time Discrete - Space Models for Animal Movement
The processes influencing animal movement and resource selection are complex and varied. Past efforts to model behavioral changes over time used Bayesian statistical models with variable parameter space, such as reversiblejump Markov chain Monte Carlo approaches, which are computationally demanding and inaccessible to many practitioners. We present a continuoustime discrete-space (CTDS) model o...
متن کاملH2 / H∞ FIR Filters for Discrete-time State Space Models
In this paper a new type of filter, called the H2 / H∞ FIR filter, is proposed for discretetime state space signal models. The proposed filter requires linearity, unbiased property, FIR structure, and independence of the initial state information in addition to the performance criteria in both H2 and H∞ sense. It is shown that H2, H∞, and H2 / H∞ FIR filter design problems can be converted into...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SciPost Physics
سال: 2020
ISSN: 2542-4653
DOI: 10.21468/scipostphys.9.3.038