39 citations · 101 across the 14 of their papers we have counts for
18 papers
Bounds for weighted Chebyshev and residual polynomials on subsets of
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a Szegő-type theorem in the setting of Parre…
A geometric approach to approximating the limit set of eigenvalues for banded Toeplitz matrices
Teodor Bucht, Jacob S. Christiansen
This article is about finding the limit set for banded Toeplitz matrices. Our main result is a new approach to approximate the limit set where is the symbol of the bande…
Widom Factors and Szegő-Widom Asymptotics, a Review
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We survey results on Chebyshev polynomials centered around the work of H. Widom. In particular, we discuss asymptotics of the polynomials and their norms and general upper and lowe…
Remarks on Periodic Jacobi Matrices on Trees
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well known gap in the spectrum of the Laplacian on the…
Asymptotics of Chebyshev Polynomials, V. Residual Polynomials
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We study residual polynomials, , , , which are the degree at most polynomials…
Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We make a number of comments on Chebyshev polynomials for general compact subsets of the complex plane. We focus on two aspects: asymptotics of the zeros and explicit Totik--Widom…