From Synaptic Interactions to Collective Dynamics in Random Neuronal Networks Models: Critical Role of Eigenvectors and Transient Behavior

On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry

(2018) Yan V. Fyodorov   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Stochastic spike synchronization in a small-world neural network with spike-timing-dependent plasticity

(2018) Sang-Yoon Kim et al.   NEURAL NETWORKS

Probing non-orthogonality of eigenvectors in non-Hermitian matrix models: diagrammatic approach

(2018) Maciej A. Nowak et al.   JOURNAL OF HIGH ENERGY PHYSICS

Full Dysonian dynamics of the complex Ginibre ensemble

(2018) Jacek Grela et al.   Journal of Physics A-Mathematical and Theoretical

Identification of excitatory-inhibitory links and network topology in large-scale neuronal assemblies from multi-electrode recordings

(2018) Vito Paolo Pastore et al.   PLoS Computational Biology

Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem

(2017) Serban Belinschi et al.   Journal of Physics A-Mathematical and Theoretical

Spectral Radii of Large Non-Hermitian Random Matrices

(2015) Tiefeng Jiang et al.   JOURNAL OF THEORETICAL PROBABILITY

Properties of networks with partially structured and partially random connectivity

(2015) Yashar Ahmadian et al.   PHYSICAL REVIEW E

Optimal Control of Transient Dynamics in Balanced Networks Supports Generation of Complex Movements

(2014) Guillaume Hennequin et al.   NEURON

Dysonian Dynamics of the Ginibre Ensemble

(2014) Zdzislaw Burda et al.   PHYSICAL REVIEW LETTERS

The WU-Minn Human Connectome Project: An overview

(2013) David C. Van Essen et al.   NEUROIMAGE

Synchronization in random balanced networks

(2013) Luis Carlos García del Molino et al.   PHYSICAL REVIEW E

The NIH BRAIN Initiative

(2013) T. R. Insel et al.   SCIENCE

Developing neuronal networks: Self-organized criticality predicts the future

(2013) Jiangbo Pu et al.   Scientific Reports

Critical-State Dynamics of Avalanches and Oscillations Jointly Emerge from Balanced Excitation/Inhibition in Neuronal Networks

(2012) S.-S. Poil et al.   JOURNAL OF NEUROSCIENCE

Eigenvalue spectra of asymmetric random matrices for multicomponent neural networks

(2012) Yi Wei   PHYSICAL REVIEW E

Non-normal amplification in random balanced neuronal networks

(2012) Guillaume Hennequin et al.   PHYSICAL REVIEW E

Emergence of a Small-World Functional Network in Cultured Neurons

(2012) Julia H. Downes et al.   PLoS Computational Biology

Information Capacity and Transmission Are Maximized in Balanced Cortical Networks with Neuronal Avalanches

(2011) W. L. Shew et al.   JOURNAL OF NEUROSCIENCE

Outliers in the spectrum of iid matrices with bounded rank perturbations

(2011) Terence Tao   PROBABILITY THEORY AND RELATED FIELDS

Emergent complex neural dynamics

(2010) Dante R. Chialvo   Nature Physics

A random matrix approach to VARMA processes

(2010) Zdzisław Burda et al.   NEW JOURNAL OF PHYSICS

Applying free random variables to random matrix analysis of financial data. Part I: The Gaussian case

(2010) Zdzisław Burda et al.   QUANTITATIVE FINANCE

Avalanches in a Stochastic Model of Spiking Neurons

(2010) Marc Benayoun et al.   PLoS Computational Biology

Statistical eigen-inference from large Wishart matrices

(2009) N. Raj Rao et al.   ANNALS OF STATISTICS

Spectrum estimation for large dimensional covariance matrices using random matrix theory

(2009) Noureddine El Karoui   ANNALS OF STATISTICS

Balanced Amplification: A New Mechanism of Selective Amplification of Neural Activity Patterns

(2009) Brendan K. Murphy et al.   NEURON

Self-Tuned Critical Anti-Hebbian Networks

(2009) Marcelo O. Magnasco et al.   PHYSICAL REVIEW LETTERS

A Small World of Neuronal Synchrony

(2008) Shan Yu et al.   CEREBRAL CORTEX

Memory traces in dynamical systems

(2008) S. Ganguli et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA