Professor Yan Fyodorov Academics Supervisors Co-chair in Disordered Systems Research subject areas Mathematics Contact details 02078485894 yan.fyodorov@kcl.ac.uk
Statistics of the non-zero eigenvalues and singular values of low-rank random matrices with non-negative entries Mean Eigenvector Self-Overlap in the Real and Complex Elliptic Ginibre Ensembles at Strong and Weak Non-Hermiticity Nonorthogonal Eigenvectors, Fluctuation-Dissipation Relations, and Entropy Production Mean left-right eigenvector self-overlap in the real Ginibre ensemble On the Density of Complex Eigenvalues of Wigner Reaction Matrix in a Disordered or Chaotic System with Absorption The High-dimensional Landscape Paradigm: Spin-Glasses, and Beyond Resonances in a single-lead reflection from a disordered medium: σ-model approach Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass Intensity statistics inside an open wave-chaotic cavity with broken time-reversal invariance Extreme Eigenvalues and the Emerging Outlier in Rank-One Non-Hermitian Deformations of the Gaussian Unitary Ensemble Superposition of random plane waves in high spatial dimensions: Random matrix approach to landscape complexity Optimization landscape in the simplest constrained random least-square problem Eigenfunction non-orthogonality factors and the shape of CPA-like dips in a single-channel reflection from lossy chaotic cavities Counting equilibria in a random non-gradient dynamics with heterogeneous relaxation rates Eigenfunction Non-Orthogonality in Open Wave Chaotic Systems: Non-Perturbative RMT Results for Single-Channel Scattering Statistics of Complex Wigner Time Delays as a Counter of S -Matrix Poles: Theory and Experiment One step replica symmetry breaking and extreme order statistics of logarithmic REMs Counting equilibria of large complex systems by instability index Generalization of Wigner time delay to subunitary scattering systems The band structure of a model of spatial random permutation Nonlinearity-generated resilience in large complex systems Condition Numbers for Real Eigenvalues in the Real Elliptic Gaussian Ensemble Counting stationary points of the loss function in the simplest constrained least-square optimization Chaotic scattering with localized losses: S-matrix zeros and reflection time difference for systems with broken time-reversal invariance Freezing transitions and extreme values: random matrix theory, zeta (1/2+it) and disordered landscapes Optimal light fields for micromanipulation in complex scattering environments Statistics of Extremes in Eigenvalue-Counting Staircases Manifolds Pinned by a High-Dimensional Random Landscape: Hessian at the Global Energy Minimum Manifolds in a high-dimensional random landscape: Complexity of stationary points and depinning Statistics of off-diagonal entries of Wigner K-matrix for chaotic wave systems with absorption Reflection time difference as a probe of S-matrix zeroes in chaotic resonance scattering Optimal wave fields for micromanipulation in complex scattering environments Separability gap and large-deviation entanglement criterion A Spin Glass Model for Reconstructing Nonlinearly Encrypted Signals Corrupted by Noise Extreme values of CUE characteristic polynomials: a numerical study Hessian spectrum at the global minimum of high-dimensional random landscapes Stochastic processes and random matrices: Lecture notes of the Les Houches summer school Exponential number of equilibria and depinning threshold for a directed polymer in a random potential On Statistics of Bi-Orthogonal Eigenvectors in Real and Complex Ginibre Ensembles: Combining Partial Schur Decomposition with Supersymmetry Log-correlated random-energy models with extensive free-energy fluctuations: Pathologies caused by rare events as signatures of phase transitions On characteristic polynomials for a generalized chiral random matrix ensemble with a source Distribution of zeros of the S-matrix of chaotic cavities with localized losses and Coherent Perfect Absorption: non-perturbative results. Random Matrix Theory of resonances: An overview Fractional Brownian motion with Hurst index H=0 and the Gaussian Unitary Ensemble Topology trivialization transition in random non-gradient autonomous ODE's on a sphere Towards rigorous analysis of the Levitov-Mirlin-Evers recursion On the distribution of the maximum value of the characteristic polynomial of GUE random matrices Moments of the Position of the Maximum for GUE Characteristic Polynomials and for Log-Correlated Gaussian Processes Nonlinear analogue of the May−Wigner instability transition View all publications