George Marinescu

activity

20162024

collaborators

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5 papers · 1 filter

math.CV2024

Toeplitz operators and zeros of square-integrable random holomorphic sections

Alexander Drewitz, Bingxiao Liu, George Marinescu

We use the theory of abstract Wiener spaces to construct a probabilistic model for Berezin-Toeplitz quantization on a complete Hermitian complex manifold endowed with a positive li…

math.CV2024

Zeros of random holomorphic sections of big line bundles with continuous metrics

Turgay Bayraktar, Dan Coman, George Marinescu +1

Let $X$ be a compact normal complex space, $L$ be a big holomorphic line bundle on $X$ and $h$ be a continuous Hermitian metric on $L$ . We consider the spaces of holomorphic sectio…

math.CV2024

Induced Fubini-Study metrics on strictly pseudoconvex CR manifolds and zeros of random CR functions

Hendrik Herrmann, Chin-Yu Hsiao, George Marinescu +1

Let $X$ be a compact strictly pseudoconvex embeddable Cauchy-Riemann manifold and let $T_{P}$ be the Toeplitz operator on $X$ associated with a first-order pseudodifferential operato…

math.CV2023

Restricted spaces of holomorphic sections vanishing along subvarieties

Dan Coman, George Marinescu, Viêt-Anh Nguyên

Let $X$ be a compact normal complex space of dimension $n$ and $L$ be a holomorphic line bundle on $X$ . Suppose that $Σ = (Σ_{1}, \dots, Σ_{ℓ})$ is an $ℓ$ -tuple of distinct irreduci…

math.CV2023

Semi-classical spectral asymptotics of Toeplitz operators on strictly pseudodonvex domains

Chin-Yu Hsiao, George Marinescu

On a relatively compact strictly pseudoconvex domain with smooth boundary in a complex manifold of dimension $n$ we consider a Toeplitz operator $T_{R}$ with symbol a Reeb-like vecto…