Tamás Erdélyi

activity

19952026

most citedLimits on Preserving Quantum Coherence using Multi-Pulse Control

46 citations · 61 across the 10 of their papers we have counts for

collaborators

12 papers

math.CA2026

On an Erdös Problem about the Maximum Modulus of Littlewood Polynomials on the Unit Circl

Tamás Erdélyi

Making a progress in an Erdös problem dating back to 1957, we show that $t \in R max ∣ P_{n} (e^{i t}) ∣^{2} \geq n + 1 + \frac{1}{38} n^{1/3}$ for every polynomial $P_{n}$ of degr…

math.CA2026

Bourgain-Ruzsa Type Estimates for the Maximum and Minimum of Littlewood Cosine polynomials on the Real Line

Tamás Erdélyi

We prove that $t \in R max T_{n} (t) \geq \frac{1}{60} n^{1/3} and - t \in R min T_{n} (t) \geq \frac{1}{60} n^{1/3}$ for every trigonometric p…

math.CA2021

The Zero Set of an Electric Field from a Finite Number of Point Charges

Tamás Erdélyi, Joseph Rosenblatt, Rebecca Rosenblatt

We consider the structure of the zero set in $R^{3}$ of the electric vector field $F = (X, Y, Z)$ from a finite set of point charges. We are most interested in the ca…

cs.DS2020★ 5 cited

Fourier Sparse Leverage Scores and Approximate Kernel Learning

Tamás Erdélyi, Cameron Musco, Christopher Musco

We prove new explicit upper bounds on the leverage scores of Fourier sparse functions under both the Gaussian and Laplace measures. In particular, we study $s$ -sparse functions of…

math.CA2020

Do flat skew-reciprocal Littlewood polynomials exist?

Tamás Erdélyi

Polynomials with coefficients in ${- 1, 1}$ are called Littlewood polynomials. Using special properties of the Rudin-Shapiro polynomials and classical results in approximation theo…

math.CA2019

Turán-type reverse Markov inequalities for polynomials with restricted zeros

Tamás Erdélyi

Let $P_{n}^{c}$ denote the set of all algebraic polynomials of degree at most $n$ with complex coefficients. Let $D^{+} := {z \in C : ∣ z ∣ \leq 1, ℑ (z) \geq 0}$ …

math.CV2019

Arestov's theorems on Bernstein's inequality

Tamás Erdélyi

We give a simple, elementary, and at least partially new proof of Arestov's famous extension of Bernstein's inequality in $L_{p}$ to all $p \geq 0$ . Our crucial observation is that B…

math.CA2018

Reverse Markov- and Bernstein-type inequalities for incomplete polynomials

Tamás Erdélyi

Let $P_{k}$ denote the set of all algebraic polynomials of degree at most $k$ with real coefficients. Let $P_{n, k}$ be the set of all algebraic polynomials of d…

math.CA2018★ 3 cited

Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle

Tamás Erdélyi

Let either $R_{k} (t) := ∣ P_{k} (e^{i t}) ∣^{2}$ or $R_{k} (t) := ∣ Q_{k} (e^{i t}) ∣^{2}$ , where $P_{k}$ and $Q_{k}$ are the usual Rudin-Shapiro polynomials of degree $n - 1$ with $n = 2^{k}$ . In a recent paper…

math.MG2013★ 7 cited

Inverse Bernstein inequalities and min-max-min problems on the unit circle

Tamás Erdélyi, Douglas P. Hardin, Edward B. Saff

We give a short and elementary proof of an inverse Bernstein-type inequality found by S. Khrushchev for the derivative of a polynomial having all its zeros on the unit circle. The…

quant-ph2010★ 46 cited

Limits on Preserving Quantum Coherence using Multi-Pulse Control

Kaveh Khodjasteh, Tamás Erdélyi, Lorenza Viola

We explore the physical limits of pulsed dynamical decoupling methods for decoherence control as determined by finite timing resources. By focusing on a decohering qubit controlled…

math.CA1995

Müntz spaces and Remez inequalities

Peter Borwein, Tamás Erdélyi

Two relatively long-standing conjectures concerning Müntz polynomials are resolved. The central tool is a bounded Remez type inequality for non-dense Müntz spaces.