RMT's tags

1d_coulomb_gas 1d_fermions 1d_fermions_at_finite_temperature 1d_growth_models 1f_noise 1-over-n_expansion 2-component_kp-hierarchy 2d_coulomb_gas 2d_quantum_gravity 2d_toda_lattice 2d_yang-mills_theory 2-toda_lattice 3d-ising_corner 3d-ising_model airplane_boarding airy-1_process airy_function airy_law alternate_discrete_painleve-i alternative-discrete-painleve analytic_continuation anderson_localisation anderson_transition asep asymmetric-discrete-painleve asymptotic_analysis atmospheric_time_series aztec_diamond backlund_transformation baker-akhiezer_function bdg-ensembles bell_numbers benjamin-ono_equation bessel_law beta_ensembles beta-ensembles beta-hermite_ensemble beta-laguerre_ensemble bi-hamiltonian_systems bi-linear_identity bi-orthogonal_polynomials bkp_hierarchy bohigas book bosonic_replicas bosonisation boussinesq_equation brownian_bridge_process brownian_motion_model calogero_sutherland_model carbon_nanotubes carleman_theorem carlson_theorem cartan_class casimir_operator cauchy_matrix_model cauchy_transformed_ops cavity_approach central_charge chaotic_cavities character_expansion characteristic_polynomials characters charlier_ops chazy_classes chiral_ginoe chiral_goe chiral_gse chiral_gue chiral_symmetry chiral_transport christoffel-darboux_formula circular_beta_ensembles circular_bus_model circular_law classical_dynamics classical_solutions_for_painleve classical_weight_functions climate_data coe color-flavour_transformation combinatorics communications_theory companion_matrix complex_networks condition_number conductance conductance_fluctuations conformal_field_theory connection_formulae continuous_approximation continuous_matrix_models correlation_functions correlation_matrix coset_spaces coulomb_blockade coupled_quartic_oscillators coupled_random_matrices critical_statistics cse cue cumulants delay_times delta-statistics determinantal_point_process determinants devisme_polynomials diagrammatic_expansions di_bruno_formula differences_between_consecutive_primes dijkgraaf-vafa_theory dirac_operator directed_hopping directed_polymers directed_quantum_chaos discontinuous_linear_statistics discrete_continuous_jacobians discrete_ops discrete_painleve discrete_painleve-i discrete_painleve_property disordered_metals disordered_wires dispersionless_limit dissipative_quantum_chaos dmpk-equation d-painleve-i d-painleve-ii duality_relation duistermaat-heckman_theorem dynamic_localisation dynamic_systems_at_fixed_point dyson_integration_theorem econophysics e-e_interaction efetov-wegner_terms efetov-zirnbauer_integration_theorem ehrenfest_time eigenvalue_continuum_model eigenvalue_crystallisation eigenvector_correlations eigenvector_statistics elliptic_law energy_diffusion ensembles_with_preferential_basis entanglement_rmt entropy_approach euclidean_random_matrices experimental_data extended_determinantal_point_process fay_identities fermionic_replicas field_theory financial_time_series fokker-planck_equation fredholm_determinant fredholm_pfaffian free_probability freud_weight fuchs full_counting_statistics gap_formation_probability gaudin-mehta_approach gaussian_time_series general_duality_relation generalised_hypergeometric_function genus_expansion ginibre ginoe goe goe_tracy-widom_distribution grand_canonical_ensemble graphene grassmann_integration grassmann_variables gse gse_tracy-widom_distribution gue gue_minor_process gue_tracy-widom_distribution gumbel-distribution hadamard_matrix hamiltonian_formulation_of_painleve hankel_determinant hard_edge harish_chandra_formula hep hermite_ops hermitisation_method h-index hirota_equations history hubbard-stratonovich_transformation human_auditory_cortex human_eeg human_meg hypergeometric_functions_of_matrix_argument impenetrable_bose_gas increasing_subsequences individual_eigenlevels ingham-siegel_integral integer_partitions integrability integrable_systems integrals_of_motion internet_time_series intersection_numbers inverse_participation_ratio inverse_scattering_problem ising_model isomonodromic_problems isomonodromy_problems itzykson-zuber_integrals jack_polynomials jacobians jacobi_ensemble jacobi_matrix jacobi_oe jacobi_se jacobi_theta_functions jacobi_ue kac-van_moerbeke_equation kadomtsev-petviashvili_equation kadomtsev-petviashvili_hierarchy kardar-parisi-zhang_equation karlin-mcgregor_determinantal_form kdv-hierarchy keldysh_sigma_model kicked_rotor kicked_top kontsevich_integral kontsevich_model korteweg_de_vries_equation kp_hierarchy kpz_universality_class krawtchouk_ue k-th_level_spacing_distribution landauer_formula landau-zener_transitions laplace-beltrami_operator laplacian_growth lax_equations lecture_notes leibniz_rule lenard_recursion_formula l-functions lie_algebras lie_group linear_statistics line_bus_model liouville_gravity local_dos loe longest_decreasing_subsequence longest_increasing_subsequence loop_equations lossy_transport lse lue lyapunov_exponent markov_property matrix matrix_in_external_field matrix_integrals matrix_kernel matrix_models matrix_ops mesoscopics metal-insulator_transition minor-summation-formula miwa_variables mixed_type_multiple_ops model modified_hierarchy moebius_transformation moment_matrices moshe-neuberger-shapiro_ensemble movable_critical_points msc_theses multicritical_correlations multicritical_points multifractal_exponents multifractality multi-matrix_models multiple_hermite_functions multiple_laguerre_functions multiple_ops multivariate_orthogonal_polynomials mv-hermite_polynomials mv-jacobi_polynomials mv-laguerre_polynomials negative-dimensional-space neural_network new non-gaussian_ensembles non-gue non-hermitean_hamiltonians non-hermitean_localisation non-hermitean_rmt noninteger_dimensions_space non-intersecting_brownian_motions non-intersecting_paths_model non-intersecting_random_walks nonlinear_schroedinger_equation nuclei_data number_of_levels_fluctuations number_theory number_variance numerics odd-n_problem okamoto_polynomials one-matrix_models ops_asymptotics ops_on_unit_circle optimal_fluctuations order-to-chaos_transition orthogonal_polynomials orthogonal_symplectic_spectral_interrelation orthogonal-symplectic_spectral_interrelation orthogonal_unitary_spectral_interrelation orthogonal-unitary_spectral_interrelation painleve painleve-i painleve-ii painleve-iii painleve-iv painleve_property painleve-v painleve-vi parametric_correlations parisi-sourlas_reduction parking_problem partial_derivatives patience_sorting periodic_orbits perturbative_sector pfaffian pfaffian_point_process pfaff-kp pfaff_lattice phd_theses poisson_process poisson_statistics polynuclear_growth_model power_law_random_banded_matrices power-law_random_banded_matrices p-point_correlation_functions prime_numbers probability_of_n_levels_in_an_interval product_statistics pt_applications pt-quantum_mechanics pt-symmetry public_transport qcd qcd_partition_functions q-discrete-painleve q-hermite_polynomials q-integral q-ops q-orthogonal_polynomials quantum_chaos quantum_transport quartic_oscillator quasi_1d quaternion_determinant random_banded_matrices random_complex_matrices random_energy_model random_graphs random_hopping_model random_matrix_calculator random_matrix_in_external_field random_matrix_theory random_permutations random_polynomials random_quaternion_matrices random_real_matrices rectangular_billiard regular-chaotic_transition replica_field_theory replica_method replica_symmetry_breaking resultants review rg riccati_equation riemann_function_zeros riemann-hilbert_problem riemann_hypothesis riemann_zeta_function rmt_applications rmt_central_limit_theorem rmt_central_lmit_theorem robnik_billiard root_spaces rpa-random_matrices rsk_algorithm saddle_point_analysis scattering_matrix schur_polynomials seiberg-witten_theory selberg_integral semiclassics semi-poisson_statistics shape_fluctuations shohat_method shor_algorithm shot_noise sinai_billiard sine-gordon_equation sine_law single-ring_theorem skew_ops skew_ops_asymptotics skew_orthogonal_polynomials s-matrix_ensembles soft_edge soft_level_confinement solitaire_card_game soliton_theory spacing_distribution sparse_random_matrices spectra spectral_form-factor spectrum spectrum_edge spectrum_unfolding spin_chains spin_conductance stieltjes-wigert_ops stirling_numbers string_theory summary_for_nonexperts superbosonisation super_itzykson-zuber_integrals supersymmetry susy sylvester-identity symbolic_computation symmetric_polynomials symmetric_spaces symmetry_classes tangent_spaces tasep tau-function tau-function_theory_for_painleve_equations thouless_energy tight_binding_model tiling_problem time-dependent_rmt toda_lattice toeplitz_matrices topological_gravity tracy-widom_distribution transfer-matrix_ensembles transfer_matrix_formalism transition_probability_matrix truncated_un_matrices turanians tutorial two_band_matrices two-body_random_ensemble two-matrix_model type-ii_multiple_ops type-i_multiple_ops uhlenbeck-ornstein_process unitary_ensemble universality_phenomenon vandermonde_matrix verblunsky_coefficients vicious_walks virasoro_algebras virasoro_constraints voronoi_tesselations ward_identities watermelons weak_level_confinement weak_non-hermiticity wegner_integration_theorem weierstrass_p-function weyl_chambers wigner-dyson_statistics wigner_surmise wishart_complex_matrices wishart_distribution wishart_real_matrices wkb_approximation xxz young_diagram young_diagrams young_tableaux zeta_function_derivative zeta_function_derivative_moments zeta_function_moments zonal_polynomials zonal_spherical_functions

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