Matrices Associated to 3-Interval Exchange Transformation and their Spectra
نویسندگان
چکیده
منابع مشابه
Scaling dynamics of a cubic interval-exchange transformation
We study the dynamics of renormalization of a specific interval exchange transformation which features exact scaling (the cubic Arnoux-Yoccoz model). Using a symbolic space that describes both dynamics and scaling, we characterize the periodic points of the scaling map in terms of generalized decimal expansions, where the base is the reciprocal of a Pisot number and the digits are algebraic int...
متن کاملGenerating matrices of Cnomial coe¢ cients and their spectra
In this paper, we consider a generalization of binomial coe¢ cients, called C nomial coe¢ cients, dependent upon a sequence fungn, with indices in arithmetic progressions. We obtain a general recurrence relation and a generating matrix, and point out some new relationships between these coe¢ cients and the generalized Pascal matrices. Further, we obtain generating functions, combinatorial repr...
متن کاملGenerating matrices of C–nomial coefficients and their spectra
In this paper, we consider a generalization of binomial coefficients, called C– nomial coefficients, dependent upon a sequence {un}n, with indices in arithmetic progressions. We obtain a general recurrence relation and a generating matrix, and point out some new relationships between these coefficients and the generalized Pascal matrices. Further, we obtain generating functions, combinatorial r...
متن کاملOn the spectra of some matrices derived from two quadratic matrices
begin{abstract} The relations between the spectrum of the matrix $Q+R$ and the spectra of the matrices $(gamma + delta)Q+(alpha + beta)R-QR-RQ$, $QR-RQ$, $alpha beta R-QRQ$, $alpha RQR-(QR)^{2}$, and $beta R-QR$ have been given on condition that the matrix $Q+R$ is diagonalizable, where $Q$, $R$ are ${alpha, beta}$-quadratic matrix and ${gamma, delta}$-quadratic matrix, respectively, of ord...
متن کاملA note on positive deniteness and stability of interval matrices
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...
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: Acta Polytechnica
سال: 2007
ISSN: 1805-2363,1210-2709
DOI: 10.14311/942