82 citations · 123 across the 7 of their papers we have counts for
7 papers
Phase Transitions and Order Parameters in Correlation Matrices: A Wishart-Ensemble Perspective on the Largest Eigenvalue
Roberto da Silva, Antonio Mihara, Henrique Tramontina +1
We investigate the properties of the largest eigenvalue of correlation matrices within the framework of Wishart ensembles. In this work, we propose the largest eigenvalue as an eff…
Identifying Patterns Using Cross-Correlation Random Matrices Derived from Deterministic and Stochastic Differential Equations
Roberto da Silva, Sandra D. Prado
Cross-Correlation random matrices have emerged as a promising indicator of phase transitions in spin systems. The core concept is that the evolution of magnetization encapsulates t…
Effects of stickiness on the quantum states of strongly chaotic open systems
Miguel A. Prado Reynoso, Edson M. Signor, Sandra D. Prado +1
We investigate the effects of classical stickiness (orbits temporarily confined to a region of the chaotic phase space) to the structures of the quantum states of an open system. W…
Exploring Transition from Stability to Chaos through Random Matrices
Roberto da Silva, Sandra D. Prado
This study explores the application of random matrices to track chaotic dynamics within the Chirikov standard map. Our findings highlight the potential of matrices exhibiting Wisha…
Statistical properties of speckle patterns for a random number of scatterers and nonuniform phase distributions
Fernando L. Metz, Cristian Bonatto, Sandra D. Prado
The statistical properties of speckle patterns have important applications in optics, oceanography, and transport phenomena in disordered systems. Here we obtain closed-form analyt…
Semiclassical structure of chaotic resonance eigenfunctions
J. P. Keating, M. Novaes, S. D. Prado +1
We study the resonance (or Gamow) eigenstates of open chaotic systems in the semiclassical limit, distinguishing between left and right eigenstates of the non-unitary quantum propa…