Add to ORKGFor suitable classes of random Verblunsky coefficients, including independent, identically distributed, rotationally invariant ones, we prove that if E(⎰dθ\2π│(C+e^(iθ) C-e^(iθ)_(kℓ)│^p)≤ C_(le)^kl∣k-ℓ∣ for some k_l > 0 and p 0, E(sup_n∣(C^n)_kℓ∣) ≤C_2e^(-k_2∣k-ℓ∣. Here C is the CMV matrix
AbstractWe give an upper bound on the sum of squares of ℓ-degrees in a k-uniform hypergraph in terms...
The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are c...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
For suitable classes of random Verblunsky coefficients, including independent, identically distribut...
The results of Denisov-Rakhmanov, Szegő-Shohat-Nevai, and Killip-Simon are extended from asymptotica...
For arbitrary β > 0, we use the orthogonal polynomials techniques developed in (Killip and Nenciu in...
For arbitrary β > 0, we use the orthogonal polynomials techniques developed in (Killip and Nenciu in...
AbstractLet μ be a measure with compact support. Assume that ξ is a Lebesgue point of μ and that μ′ ...
The vector difference equation ξk = Af(ξk−1)+εk, where (εk) is a square integrable difference marti...
Given an i.i.d. sequence $\{A_n(\omega)\}_{n\ge 1}$ of invertible matrices and a random matrix $B(\o...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractIn this work, we study the coefficients of Bazilevic˘ functions and circularly symmetric fun...
AbstractIn this paper, we investigate the existence of random fixed point for random mixed monotone ...
We prove that for any n×n matrix, A, and z with |z|⩾∥A∥, we have that ∥(z-A)^(-1) ∥⩽cot(^π_(4n))dist...
We prove that for any n×n matrix, A, and z with |z|⩾∥A∥, we have that ∥(z-A)^(-1) ∥⩽cot(^π_(4n))dist...
AbstractWe give an upper bound on the sum of squares of ℓ-degrees in a k-uniform hypergraph in terms...
The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are c...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
For suitable classes of random Verblunsky coefficients, including independent, identically distribut...
The results of Denisov-Rakhmanov, Szegő-Shohat-Nevai, and Killip-Simon are extended from asymptotica...
For arbitrary β > 0, we use the orthogonal polynomials techniques developed in (Killip and Nenciu in...
For arbitrary β > 0, we use the orthogonal polynomials techniques developed in (Killip and Nenciu in...
AbstractLet μ be a measure with compact support. Assume that ξ is a Lebesgue point of μ and that μ′ ...
The vector difference equation ξk = Af(ξk−1)+εk, where (εk) is a square integrable difference marti...
Given an i.i.d. sequence $\{A_n(\omega)\}_{n\ge 1}$ of invertible matrices and a random matrix $B(\o...
Let \u3c8K be the Chebyshev function of a number field K. Let \u3c8K(1)(x) := 2b0x\u3c8K(t) dt and \...
AbstractIn this work, we study the coefficients of Bazilevic˘ functions and circularly symmetric fun...
AbstractIn this paper, we investigate the existence of random fixed point for random mixed monotone ...
We prove that for any n×n matrix, A, and z with |z|⩾∥A∥, we have that ∥(z-A)^(-1) ∥⩽cot(^π_(4n))dist...
We prove that for any n×n matrix, A, and z with |z|⩾∥A∥, we have that ∥(z-A)^(-1) ∥⩽cot(^π_(4n))dist...
AbstractWe give an upper bound on the sum of squares of ℓ-degrees in a k-uniform hypergraph in terms...
The 2D Euler equations with random initial condition distributed as a certain Gaussian measure are c...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...