✦ LIBER ✦

The transfer-matrix of a one-sided subshift of finite type with exponential interaction

✍ Scribed by D. H. Mayer

Publisher: Springer
Year: 1976
Tongue: English
Weight: 326 KB
Volume: 1
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398490

No coin nor oath required. For personal study only.

✦ Synopsis

We discuss the generalized transfer matrix for a one-sided subshift of finite type with exponential interaction. Using a trace formula due to RueUe we then calculate the f function of this system. It is holomorphic in a neighbourhood of zero and can be extended to a meromorphic function in the complex z plane. This generalizes results of Bowen and Lanford who studied the function for subshifts without interactions and of Viswanathan who calculated the ~" function of a classical lattice gas with exponential-polynomial interaction.

📜 SIMILAR VOLUMES

Finite-element modeling of the interacti

Finite-element modeling of the interaction of reinforcement with concrete matrix

✍ Yu. M. Pleskachevskii; A. O. Shimanovskii; G. M. Kuzemkina 📂 Article 📅 2008 🏛 Springer US 🌐 English ⚖ 269 KB

On the transfer matrix of a neutral syst

On the transfer matrix of a neutral system: Characterizations of exponential stability in input—output terms

✍ Hartmut Logemann 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 462 KB

The application of the transfer matrix a

The application of the transfer matrix and matrix condensation methods with finite elements to duct acoustics

✍ A. Craggs 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 711 KB

Evolution of initial distributions with

Evolution of initial distributions with one and two centers in a two-dimensional model of the reaction-diffusion type with a nonlocal interaction of finite radius

✍ A. V. Borisov; A. Yu. Trifonov; A. V. Shapovalov 📂 Article 📅 2011 🏛 Springer 🌐 English ⚖ 310 KB

On the A-acceptability of Padé-type appr

On the A-acceptability of Padé-type approximants to the exponential with a single pole

✍ Concepción González Concepción 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 413 KB

On the A-acceptability of Padé-type appr

On the A-acceptability of Padé-type approximants to the exponential with a single pole

✍ Concepción González Concepción 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 338 KB

In this paper we give necessary and sufficient conditions for the A-acceptability of certain rational approximants [1] to the exponential. Our tools are the C-polynomials [3] and the order star theory [2,5].