Borbala Gerhat

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20222026

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math.SP2023

Criticality transition for positive powers of the discrete Laplacian on the half line

Borbala Gerhat, David Krejcirik, Frantisek Stampach

We study the criticality and subcriticality of powers $(- Δ)^{α}$ with $α > 0$ of the discrete Laplacian $- Δ$ acting on $ℓ^{2} (N)$ . We prove that these positive powers of the…

math.SP2022

Schur complement dominant operator matrices

Borbala Gerhat

We propose a method for the spectral analysis of unbounded operator matrices in a general setting which fully abstains from standard perturbative arguments. Rather than requiring t…