Geodesic
On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 41-48

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We obtain lower bounds for the maximum number of connected components of complement of limiting spectrum of Toeplitz band matrix whose symbol is a Laurent polynomial of a given degree. We also give examples of polynomials which are symbols of Toeplitz matrices whose limiting spectrum divides the complex plane into the given number of connected components. 
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     author = {S. A. Zolotykh and V. A. Stukopin},
     title = {On the number of connected components of the complement of limiting spectrum of {Toeplitz} band matrices},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {41--48},
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     year = {2016},
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S. A. Zolotykh; V. A. Stukopin. On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 41-48. http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a4/