- Understanding the approach to thermalization from the eigenspectrum of non-Abelian gauge theories
2024/07/12 by Harshit Pandey, Pandey, Harshit, Ravi Shanker +3 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Advanced Thermodynamics and Statistical Mechanics #Eigenvalues and eigenvectors #Gauge (firearms) #Gauge theory #Geography #Hamiltonian (control theory) #Hamiltonian lattice gauge theory #High-Energy Particle Collisions Research #Lattice (music) #Massless particle #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Quark #Random matrix #Renormalization group #Theoretical and Computational Physics #Theoretical physics #Thermalisation
- Sums of GUE matrices and concentration of hives from correlation decay of eigengaps
2023/06/20 by Hariharan Narayanan, Narayanan, Hariharan, Scott Sheffield⋆ +3 · 1 citation
Mathematics · #60B20 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics #Combinatorics (math.CO) #Covariance #Eigenvalues and eigenvectors #FOS: Mathematics #Hermitian matrix #Infimum and supremum #Lambda #Mathematics #Order (exchange) #Physics #Polytope #Probability (math.PR) #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Spectral Theory (math.SP) #Statistics
- Delocalization and Quantum Diffusion of Random Band Matrices in High Dimensions II: T-expansion
2022/08/17 by Fan Yang, Horng-Tzer Yau, Horng‐Tzer Yau +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anomalous diffusion #Combinatorics #Delocalized electron #Density matrix renormalization group #Eigenvalues and eigenvectors #Hermitian matrix #Lattice (music) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Quantum optics and atomic interactions #Random Matrices and Applications #Random matrix #Renormalization #Renormalization group
- Dissipative quantum dynamics, phase transitions, and non-Hermitian random matrices
2021/12/10 by Mahaveer Prasad, Hari Kumar Yadalam, Camille Aron +1 · 1 voice
Chemistry · Physics and Astronomy · #Dissipative system #Eigenvalues and eigenvectors #Hermitian matrix #Molecular spectroscopy and chirality #Physics #Quantum #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Random matrix #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.stat-mech #nlin.CD #quant-ph
- Learning Signed Determinantal Point Processes through the Principal Minor Assignment Problem
2018/11/01 by Victor-Emmanuel Brunel, Brunel, Victor-Emmanuel · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #Artificial intelligence #Class (philosophy) #Combinatorics #Computer science #Determinantal point process #Discrete mathematics #Eigenvalues and eigenvectors #FOS: Mathematics #Mathematics #Minor (academic) #Physics #Point (geometry) #Point process #Point processes and geometric inequalities #Principal (computer security) #Probabilistic logic #Random Matrices and Applications #Random matrix #Selection (genetic algorithm) #Set (abstract data type) #Statistics #Statistics Theory (math.ST) #Symmetry (geometry) #Theoretical computer science #math.ST #stat.TH
- Random SU(2) invariant tensors
2017/09/25 by Youning Li, Muxin Han, Dong Ruan +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Entropy (arrow of time) #Invariant (physics) #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #Random matrix #Subspace topology #Symmetric tensor #Tensor (intrinsic definition) #Tensor density #Tensor field
- Matrix rigidity of random Toeplitz matrices
2016/06/10 by Oded Goldreich, Avishay Tal · 1 citation
Computer Science · Engineering · Mathematics · #Quantum Computing Algorithms and Architecture #Computability, Logic, AI Algorithms #graph theory and CDMA systems #Toeplitz matrix #Mathematics #Pure mathematics #Random matrix #Rigidity (electromagnetism) #Matrix (chemical analysis) #Matrix analysis #Combinatorics #Algebra over a field #Physics #Materials science #Quantum mechanics #Eigenvalues and eigenvectors
- Stability of the matrix Dyson equation and random matrices with correlations
2016/04/30 by Oskari Ajanki, Oskari H. Ajanki, László Erdős +2 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Hermitian matrix #Limit (mathematics) #Matrix (chemical analysis) #Quantum Information and Cryptography #Random Matrices and Applications #Random matrix #Resolvent #Spectral Theory in Mathematical Physics #Stability (learning theory) #Universality (dynamical systems) #math-ph #math.MP #math.PR #msc:15B52 #msc:46T99 #msc:60B20
- From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
2015/09/30 by Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov +1 · 1 voice · 244 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum statistical mechanics #Quantum thermodynamics #Random matrix #Statistical mechanics #Thermalisation #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #quant-ph
- Direct dialling of Haar random unitary matrices
2015/06/30 by Nicholas J. Russell, Nicholas J Russell, Levon Chakhmakhchyan +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Boson #Circular ensemble #Haar measure #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Random matrix #Representation (politics) #Unitary matrix #Unitary representation #Unitary state #math-ph #math.MP #quant-ph
- Joint statistics of quantum transport in chaotic cavities
2015/02/28 by Fabio Deelan Cunden, Paolo Facchi, Pierpaolo Vivo · 1 citation
Mathematics · Physics and Astronomy · #Chaotic #Conductance #Joint (building) #Noise (video) #Phase (matter) #Phase diagram #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #Random matrix #Shot noise #Uncorrelated #cond-mat.stat-mech #math-ph #math.MP
- Quantum criticality at the origin of life
2015/02/28 by Gabor Vattay, Gábor Vattay, Dennis Salahub +6 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Anderson localization #Biomolecule #Condensed matter physics #Critical point (mathematics) #Criticality #Edge of chaos #Insulator (electricity) #Materials science #Mathematics #Nanotechnology #Origins and Evolution of Life #Phase transition #Physics #Protein Structure and Dynamics #Quantum #Quantum critical point #Quantum mechanics #Quantum phase transition #Random matrix #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.dis-nn #physics.bio-ph #physics.chem-ph #q-bio.PE #quant-ph
- Will a physicist prove the Riemann Hypothesis?
2014/10/31 by Marek Wolf · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Mathematical physics #Mathematics #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #Random matrix #Random walk #Riemann hypothesis #Riemann surface #Riemann zeta function #Statistical physics #Theoretical physics #math-ph #math.MP #math.NT
- The limit of the smallest singular value of random matrices with i.i.d.\n entries
2014/10/23 by Konstantin Tikhomirov, Tikhomirov, Konstantin · 2 citations
Decision Sciences · Mathematics · #Combinatorics #Distribution (mathematics) #Eigenvalues and eigenvectors #FOS: Mathematics #Integer (computer science) #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Probability (math.PR) #Probability and Risk Models #Quantum mechanics #Random Matrices and Applications #Random matrix #Random variable #Sequence (biology) #Singular value #Spectral Theory in Mathematical Physics #Statistics #Unit (ring theory) #Zero (linguistics) #math.PR
- Cauchy–Laguerre Two-Matrix Model and the Meijer-G Random Point Field
2012/11/30 by M. Bertola, M. Gekhtman, J. Szmigielski · 1 citation
Mathematics · Physics and Astronomy · #Biorthogonal system #Cauchy distribution #Determinantal point process #Eigenvalues and eigenvectors #Fredholm determinant #Geometry and complex manifolds #Laguerre polynomials #Mathematical functions and polynomials #Point process #Random Matrices and Applications #Random compact set #Random field #Random matrix #math-ph #math.MP #math.PR
- Distribution of the largest eigenvalue for real Wishart and Gaussian random matrices and a simple approximation for the Tracy–Widom distribution
2012/09/30 by Marco Chiani · 1 citation
Computer Science · Mathematics · #Applied mathematics #Bayesian Methods and Mixture Models #Distribution (mathematics) #Eigenvalues and eigenvectors #Gaussian #Inverse-Wishart distribution #Mathematical analysis #Mathematics #Multivariate statistics #Physics #Probability distribution #Quantum mechanics #Random Matrices and Applications #Random matrix #Simple (philosophy) #Statistical Methods and Bayesian Inference #Statistical physics #Statistics #Univariate distribution #Wishart distribution #cs.IT #math.IT #math.ST #stat.TH
- Coulumb Fluid, Painlevé Transcendents, and the Information Theory of MIMO Systems
2012/06/12 by Yang Chen, Matthew R. McKay · 5 citations
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Advanced Wireless Communication Techniques #Applied mathematics #Eigenvalues and eigenvectors #Information theory #Laguerre polynomials #MIMO #Mathematical analysis #Mathematics #Mutual information #Random matrix #Statistics #Wireless Communication Networks Research
- Delocalization and Diffusion Profile for Random Band Matrices
2012/05/31 by László Erdős, Laszlo Erdos, Antti Knowles +2 · 8 citations
Mathematics · Physics and Astronomy · #Delocalized electron #Diffusion #Dimension (graph theory) #Eigenvalues and eigenvectors #Hermitian matrix #Holomorphic and Operator Theory #Operator (biology) #Random Matrices and Applications #Random matrix #Resolvent #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.PR #msc:15B52 #msc:82B44 #msc:82C44
- Perturbation approach to multifractal dimensions for certain critical random-matrix ensembles
2011/06/29 by E. Bogomolny, O. Giraud, Olivier Giraud · 1 citation
Mathematics · Physics and Astronomy · #Eigenfunction #Eigenvalues and eigenvectors #Fractal #Mathematical analysis #Mathematics #Multifractal system #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum mechanics #Random Matrices and Applications #Random matrix #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #nlin.CD
- Anderson localization through Polyakov loops: Lattice evidence and random matrix model
2011/05/31 by Falk Bruckmann, Tamás G. Kovács, Sebastian Schierenberg · 1 citation
Physics and Astronomy · #Anderson impurity model #Anderson localization #Chaotic #Eigenvalues and eigenvectors #Fermion #Gauge (firearms) #Gauge theory #Integrable system #Lattice (music) #Lattice gauge theory #Mathematical physics #Matrix (chemical analysis) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Random matrix #Statistical physics #hep-lat #hep-ph #hep-th
- Random matrices: Universality of local eigenvalue statistics
2011/01/01 by Terence Tao, Van Vu · 72 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Divide-and-conquer eigenvalue algorithm #Eigenvalues and eigenvectors #Hermitian matrix #Mathematics #Physics #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Statistical physics #Statistics #Universality (dynamical systems)
- Random matrix theory
2011/01/01 by Yan V. Fyodorov · 1 citation
Mathematics · #Materials science #Mathematics #Matrix (chemical analysis) #Physics #Quantum mechanics #Random Matrices and Applications #Random matrix #Stochastic processes and statistical mechanics
- User-Friendly Tail Bounds for Sums of Random Matrices
2010/04/30 by Joel A. Tropp · 4 citations
Mathematics · #Bernstein inequalities #Eigenvalues and eigenvectors #Free probability #Markov Chains and Monte Carlo Methods #Mathematical Inequalities and Applications #Noncommutative geometry #Random Matrices and Applications #Random matrix #Scalar (mathematics) #Simple (philosophy) #Verifiable secret sharing #math.PR #msc:60B20. #msc:60F10 #msc:60G42 #msc:60G50
- Influence of a random telegraph process on the transport through a point contact
2010/01/31 by Fabian Hassler, Gordey B. Lesovik, G. B. Lesovik +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Eigenvalues and eigenvectors #Formalism (music) #Geometry #Mathematics #Physics #Point (geometry) #Point process #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Quantum point contact #Random matrix #Statistical physics #Statistics #Stochastic process #Transfer matrix #cond-mat.mes-hall
- Nuclei, Primes and the Random Matrix Connection
2009/09/20 by Frank W. K. Firk, F.W.K. Firk, Steven J. Miller · 1 voice · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Analytic Number Theory Research #Computer science #Connection (principal bundle) #Context (archaeology) #Geometry #Mathematical Dynamics and Fractals #Mathematics #Matrix (chemical analysis) #Number theory #Physics #Probability theory #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Statistical physics #Statistics #Theoretical physics #math-ph #math.MP #math.NT #msc:11M26 #msc:15A52 #msc:82D99
- Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge
2009/08/31 by Terence Tao, Van Vu · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Cauchy distribution #Computer science #Eigenvalues and eigenvectors #Interlacing #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Random matrix #Universality (dynamical systems) #math.PR #msc:15A52
- Eigenvalue Spectra of Random Matrices for Neural Networks
2006/11/02 by Kanaka Rajan, L. F. Abbott · 3 citations
Neuroscience · Computer Science · Mathematics · #Neural dynamics and brain function #Neural Networks and Applications #Blind Source Separation Techniques #Eigenvalues and eigenvectors #Random matrix #Spectral line #Statistical physics #Inhibitory postsynaptic potential #Spectrum (functional analysis) #Matrix (chemical analysis) #Excitatory postsynaptic potential #Constraint (computer-aided design) #Artificial neural network #Mathematics #Computer science #Physics #Quantum mechanics #Neuroscience #Materials science #Artificial intelligence #Biology
- Efficient algorithm for multiqudit twirling for ensemble quantum computation
2006/09/30 by Geza Toth, G. Tóth, Juan Jose Garcia-Ripoll +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Block (permutation group theory) #Combinatorics #Computation #Computer science #Imperfect #Mathematics #Matrix (chemical analysis) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum computer #Quantum error correction #Quantum mechanics #Quantum phase estimation algorithm #Random matrix #Set (abstract data type) #Simple (philosophy) #Unitary state #quant-ph
- Dynamics of Loschmidt echoes and fidelity decay
2006/07/31 by Thomas Gorin, T. Gorin, Tomaz Prosen +5 · 5 citations
Computer Science · Physics and Astronomy · #Artificial intelligence #Benchmark (surveying) #Computer science #Data mining #Dynamics (music) #Fidelity #High fidelity #Measure (data warehouse) #Physics #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Quantum mechanics #Quantum optics and atomic interactions #Random matrix #Reliability (semiconductor) #Statistical physics #Telecommunications #Theoretical physics #Variety (cybernetics) #quant-ph
- For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution
2006/03/23 by David L. Donoho · 4 citations
Computer Science · Engineering · Mathematics · #Algorithm #Applied mathematics #Banach space #Coefficient matrix #Combinatorics #Compressed sensing #Discrete mathematics #Eigenvalues and eigenvectors #Mathematics #Matrix Theory and Algorithms #Norm (philosophy) #Random Matrices and Applications #Random matrix #Sparse and Compressive Sensing Techniques #Statistics #Underdetermined system #Wishart distribution
more