Ivan Beschastnyi

activity

20192026

most citedCartan connections for stochastic developments on sub-Riemannian manifolds

3 citations · 4 across the 11 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.FA2025

The $S$ -resolvent estimates for the Dirac operator on hyperbolic and spherical spaces

Ivan Beschastnyi, Fabrizio Colombo, Simão Andrade Lucas +1

This seminal paper marks the beginning of our investigation into on the spectral theory based on $S$ -spectrum applied to the Dirac operator on manifolds. Specifically, we examine i…

math.FA2023

Embedding the Grushin Cylinder in $R^{3}$ and Schroedinger evolution

Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa +1

We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle c…

math.FA2020

Quantum confinement for the curvature Laplacian $- Δ + cK$ on 2D-almost-Riemannian manifolds

Ivan Beschastnyi, Ugo Boscain, Eugenio Pozzoli

Two-dimension almost-Riemannian structures of step 2 are natural generalizations of the Grushin plane. They are generalized Riemannian structures for which the vectors of a local o…

The S-resolvent estimates for the Dirac operator on hyperbolic and spherical spaces

Embedding the Grushin Cylinder in R3and Schroedinger evolution

Quantum confinement for the curvature Laplacian −Δ+cK on 2D-almost-Riemannian manifolds

The $S$ -resolvent estimates for the Dirac operator on hyperbolic and spherical spaces

Embedding the Grushin Cylinder in $R^{3}$ and Schroedinger evolution

Quantum confinement for the curvature Laplacian $- Δ + cK$ on 2D-almost-Riemannian manifolds