T. Bloom

most citedRandom Polynomials in Several Complex Variables

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2024

Random Sums of Weighted Orthogonal Polynomials in $C^{d}$

T. Bloom, D. Dauvergne, N. Levenberg

We consider random polynomials of the form $G_{n} (z) := \sum_{∣ α ∣ \leq n} ξ_{α}^{(n)} p_{n, α} (z)$ where ${ξ_{α}^{(n)}}_{∣ α ∣ \leq n}$ are i.i.d. (complex) random variables and $\{p_{n,α}\}_…

math.CV2024

Directional Chebyshev Constants on the Boundary

Thomas Bloom, Norman Levenberg

We prove results on existence of limits in the definition of (weighted) directional Chebyshev constants at all points of the standard simplex $Σ \subset R^{d}$ for (locally) reg…

math.CV2021★ 3 cited

Random Polynomials in Several Complex Variables

Turgay Bayraktar, Tom Bloom, Norm Levenberg

We generalize some previous results on random polynomials in several complex variables. A standard setting is to consider random polynomials $H_{n} (z) := \sum_{j = 1}^{m_{n}} a_{j} p_{j} (z)$ th…

Random Sums of Weighted Orthogonal Polynomials in Cd

Directional Chebyshev Constants on the Boundary

Random Polynomials in Several Complex Variables

Random Sums of Weighted Orthogonal Polynomials in $C^{d}$