M. Aloisio

Moacir Aloísio

I received my Ph.D. in 2019 from the Federal University of Minas Gerais (UFMG), Brazil, under the supervision of Professors Silas L. Carvalho and César R. de Oliveira. Since 2019, I have held a permanent faculty position at the Federal University of the Jequitinhonha and Mucuri Valleys (UFVJM), Brazil, where I have been actively involved in research and the supervision of students. Currently, I am a postdoctoral researcher at the Institute of Mathematical and Computer Sciences (ICMC), University of São Paulo (USP), São Carlos, Brazil, under the supervision of Professor Tiago Pereira, supported by FAPESP.

2019-2022 Assistant Professor, UFAM - Manaus/AM/Brazil

2022- Assistant Professor, UFVJM - Diamantina/MG/Brazil (On leave)

2025- Visiting professor, ICMC/USP - São Carlos/SP/Brazil

Dimantina, MG

Research Interests

Dynamical systems

Spectral theory
Mathematical Physics

Google Scholar Profile

ORCID Identifier

CV/Lattes

Work partial support by:

FAPEMIG 01/24/APQ-03132-24

Book:

Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

Spectral Measures and Dynamics: Typical Behavior. ISBN 978-3-031-38288-8 Published: 28 October 2023.

This monograph discusses many relations between properties of fractal measures and dynamical consequences of some quantum systems and evolution semigroups, as well as in ergodic theory.

Preprints:

[arxiv] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

Hölder continuity and Fourier asymptotics of spectral measures for 1D Schrödinger operators under exponentially decaying perturbations (2025)

[arxiv] Moacir Aloisio

Dynamical localization and eigenvalue asymptotics: long-range hopping lattice operators with electric field (2025)

To appear in Annales Henri Poincaré

Published Papers:

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira, Edson Souza

On spectral measures and convergence rates in von Neumann’s ergodic theorem

Monatshefte für Mathematik v. 203, (2024). p. 1-20.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira, Genilson Santana

Slow dynamics for self-adjoint semigroups and unitary evolution groups

Journal of Mathematical Analysis and Applications 536 (2024), 128-236

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira, Edson Souza

On the Fourier asymptotics of absolutely continuous measures with power-law singularities

Journal of Mathematical Physics v. 65, (2024) p. 012105.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions.

Brazilian Journal of Physics. 52 (2022), Article number: 35.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira

Some generic fractal properties of bounded self-adjoint operators.

Letters in Mathematical Physics. 111 (2021), Article number: 114.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira,

Refined scales of decaying rates of operator semigroups on Hilbert spaces: typical behaviour

Proceedings of the American Mathematical Society 148 (2020), 2509-2523.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira,

Category theorems for Schrödinger semigroups

Zeitschrift für analysis und ihre anwendungen 39 (2020), 421-431.

[arxiv] [journal] Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira,

Quantum quasiballistic dynamics and thick point spectrum

Letters in Mathematical Physics 109 (2019), 1891-1906.

[arxiv] [journal] Moacir Aloisio

A note on spectrum and quantum dynamics

Journal of Mathematical Analysis and Applications 478 (2019), 595-603.