1 citations · 1 across the 4 of their papers we have counts for
6 papers · 1 filter
Berezin-Toeplitz Quantization of non-compact manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We develop Berezin-Toeplitz quantization in a non-compact complex geometric setting. Let be a Hermitian manifold, a positive holomorphic line bundle, and $(E,h^E)…
Bergman kernels and Poincaré series
Louis Ioos, Wen Lu, Xiaonan Ma +1
We show that the Bergman kernel of a finite-volume quotient of a Hermitian manifold with bounded geometry by a discrete group of its isometries is the same as t…
Partial Bergman kernels and determinantal point processes on Kähler manifolds
Louis Ioos
We compute the full off-diagonal asymptotics of the equivariant and partial Bergman kernels associated with a circle action on a prequantized Kähler manifold with bounded geometry…
Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula
Louis Ioos
We use the theory of Berezin-Toeplitz operators of Ma and Marinescu to study the quantum Hamiltonian dynamics associated with classical Hamiltonian flows over closed prequantized s…
Quantization and isotropic submanifolds
Louis Ioos
We introduce the notion of an isotropic quantum state associated with a Bohr-Sommerfeld manifold in the context of Berezin-Toeplitz quantization of general prequantized symplectic…
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the ori…