Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ | Paper Citation Record

Observation 602b336e-0571-4b95-8cbf-6e9514ad597f · outbound

This paper cites On left invariant B rownian motions and heat kernels of nilpotent L ie groups.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On left invariant B rownian motions and heat kernels of nilpotent L ie groups

Reference 1

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Observation 4c3409d5-fa3c-47b1-89c8-22a938861909 · outbound

This paper cites Local inhomogeneous circular law.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Local inhomogeneous circular law

Reference 2

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Observation 054747ba-16ad-490e-9af3-332fa9c6ae01 · outbound

This paper cites Inhomogeneous circular law for correlated matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Inhomogeneous circular law for correlated matrices

Reference 3

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Observation 14ca6950-511d-4f72-a3f3-a109d417b0a4 · outbound

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Observation 3fa2f870-0509-4e80-b5c5-82b009d2bb53 · outbound

This paper cites The heat kernel on R iemannian manifolds and L ie groups.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The heat kernel on R iemannian manifolds and L ie groups

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Observation 23f5108a-7cbd-44e2-b51e-995c6014b0f7 · outbound

This paper cites On the asymptotic distribution of the eigenvalues of random matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On the asymptotic distribution of the eigenvalues of random matrices

Reference 6

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Observation d3574dc0-2be3-4aab-a4fc-b5f162445771 · outbound

This paper cites On W igner's semicircle law for the eigenvalues of random matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On W igner's semicircle law for the eigenvalues of random matrices

Reference 7

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Reference 8

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Observation 4d206c52-208d-4818-b37f-0d9367bfcb3e · outbound

This paper cites S., Boedihardjo, M.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ S., Boedihardjo, M

Reference 9

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Observation bdd4c7e4-9b11-4f49-b385-37b0e31ede73 · outbound

This paper cites Gaussian regularization of the pseudospectrum and D avies' conjecture.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Gaussian regularization of the pseudospectrum and D avies' conjecture

Reference 10

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Observation 047be36f-8f1a-49e3-a307-1010a1872d6a · outbound

This paper cites Strong Convergence of Multiplicative Brownian Motions on the General Linear Group.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Strong Convergence of Multiplicative Brownian Motions on the General Linear Group

Reference 11

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Observation 7bf55463-05d9-4717-96cb-39a047c0f3e6 · outbound

This paper cites Local single ring theorem on optimal scale.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Local single ring theorem on optimal scale

Reference 12

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Observation 7523717a-68ae-4c1d-831d-c5acecfddd70 · outbound

This paper cites Circular law for the sum of random permutation matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Circular law for the sum of random permutation matrices

Reference 13

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Observation 4b7a577f-9e08-4a4b-a710-b2548f2a11f0 · outbound

This paper cites Limiting spectral distribution of sums of unitary and orthogonal matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Limiting spectral distribution of sums of unitary and orthogonal matrices

Reference 14

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Observation 7cb0b2a6-961d-48c3-b96b-e293ccf04542 · outbound

This paper cites Local single ring theorem.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Local single ring theorem

Reference 15

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Observation ac8b7045-02da-462e-964c-b578a61b9c95 · outbound

This paper cites Free B rownian motion, free stochastic calculus and random matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Free B rownian motion, free stochastic calculus and random matrices

Reference 17

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Observation 83927cbe-b1d7-44ac-aa6c-4fa3e5ad51dc · outbound

This paper cites Segal- B argmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Segal- B argmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems

Reference 18

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Observation 59c02e79-5687-4591-aab5-c8cdadb740f5 · outbound

This paper cites Stochastic calculus with respect to free B rownian motion and analysis on W igner space.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Stochastic calculus with respect to free B rownian motion and analysis on W igner space

Reference 19

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Observation c75a24b7-a54e-4533-aa16-186baa1be67b · outbound

This paper cites Around the circular law.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Around the circular law

Reference 20

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Observation d1033911-f260-4e62-a7e9-fb34b4767080 · outbound

This paper cites Local circular law for random matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Local circular law for random matrices

Reference 21

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Observation e73a7a4a-b4bb-4062-b70e-cd3b6caeac66 · outbound

This paper cites Universality and sharp matrix concentration inequalities.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Universality and sharp matrix concentration inequalities

Reference 22

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Observation 02ba1990-9adf-4c86-b7f1-9019ba6bdd49 · outbound

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Observation 7a3400ea-d404-4b38-ad8f-3ee5d6e2fc32 · outbound

This paper cites Free convolution operators and free H all transform.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Free convolution operators and free H all transform

Reference 24

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Observation 5b69a040-9ad0-466d-ada2-1154a40a30bc · outbound

This paper cites Fluctuations of B rownian motions on G L_N.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Fluctuations of B rownian motions on G L_N

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Observation 05c90112-d406-474d-b879-51ee76ba2d78 · outbound

This paper cites The spectral edge of unitary B rownian motion.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The spectral edge of unitary B rownian motion

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Observation 1ca7c4f1-0333-4f2d-b11e-36d3c9b8d0ef · outbound

This paper cites On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices

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Observation 9847bbde-5855-408f-8c4d-4ab60237760e · outbound

This paper cites Liberation of projections.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Liberation of projections

Reference 28

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Observation 95ab4fbd-6531-45df-bb44-46109b771ff5 · outbound

This paper cites The circular law for random regular digraphs.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The circular law for random regular digraphs

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Observation 05d608dd-db2f-461f-b246-1b32caeaece8 · outbound

This paper cites Non- H ermitian random matrices with a variance profile ( I ): deterministic equivalents and limiting ESD s.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Non- H ermitian random matrices with a variance profile ( I ): deterministic equivalents and limiting ESD s

Reference 30

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Observation ac97b5e2-b668-4c6e-bfe6-ed3ead91f5b1 · outbound

This paper cites A., Guionnet, A., and Husson, J.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ A., Guionnet, A., and Husson, J

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Observation 03dca5f6-a505-487b-b41f-ac16aff604cb · outbound

This paper cites Support of the B rown measure of the product of a free unitary B rownian motion by a free self-adjoint projection.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Support of the B rown measure of the product of a free unitary B rownian motion by a free self-adjoint projection

Reference 32

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Observation e4670d09-44fb-4ae2-bd0f-4cc6cd58c4a7 · outbound

This paper cites Factorisations de fonctions et de vecteurs ind\'efiniment diff\'erentiables.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Factorisations de fonctions et de vecteurs ind\'efiniment diff\'erentiables

Reference 33

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This paper cites K., Gabriel, F., Hall, B.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Gabriel, F., Hall, B

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This paper cites K., Hall, B., and Kemp, T.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Hall, B., and Kemp, T

Reference 36

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Hall, B

Reference 37

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Hall, B

Reference 38

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Hall, B

Reference 39

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This paper cites K., Hall, B.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ K., Hall, B

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This paper cites Statistical Ensembles of Complex, Quaternion and Real Matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Statistical Ensembles of Complex, Quaternion and Real Matrices

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Observation 6526918e-ba59-483f-8793-10c773868f4a · outbound

This paper cites On a generalization of the elliptic law for random matrices.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On a generalization of the elliptic law for random matrices

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Observation 09c0ffd7-72fd-4a10-a1f6-8cd68305658e · outbound

This paper cites Probabilities on algebraic structures.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Probabilities on algebraic structures

Reference 45

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Observation 4671f6cd-aa67-47c4-80f1-7bb8e6f1e9ba · outbound

This paper cites The homogeneous chaos over compact L ie groups.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The homogeneous chaos over compact L ie groups

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The single ring theorem

Reference 47

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Unresolved cited work

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This paper cites C., and Ho, C.-W.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ C., and Ho, C.-W

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This paper cites Spectral results for free random variables.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Spectral results for free random variables

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Observation f6b41401-98e5-439b-ad4a-c6b4b024396f · outbound

This paper cites A random matrix approach to the peterson-thom conjecture.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ A random matrix approach to the peterson-thom conjecture

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Observation 5d365b68-ed4b-45f8-bfd9-2e1f6bc5c232 · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Brown measures of free circular and multiplicative B rownian motions with self-adjoint and unitary initial conditions

Reference 52

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Observation 617450f8-ab4d-41cd-95a3-34bcb7b1af0d · outbound

This paper cites Deformed single ring theorems.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Deformed single ring theorems

Reference 53

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This paper cites Quadratic hyperbolic operators.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Quadratic hyperbolic operators

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ A., Kemp, T

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Unresolved cited work

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Observation c7240a23-480d-4420-addb-0c06f461ce81 · outbound

This paper cites On free stochastic differential equations.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On free stochastic differential equations

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Observation 5b4f8146-190a-4e48-83d3-7be151cb801b · outbound

This paper cites The large- N limits of B rownian motions on GL _N.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The large- N limits of B rownian motions on GL _N

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Observation 8154f545-426e-4049-82b0-d9d1c669e778 · outbound

This paper cites Heat kernel empirical laws on U _N and GL _N.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Heat kernel empirical laws on U _N and GL _N

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Observation bea7eade-df46-41a0-82c9-193d903bb4bb · outbound

This paper cites Central limit theorem for the heat kernel measure on the unitary group.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Central limit theorem for the heat kernel measure on the unitary group

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Observation 483a0dde-5917-481c-84cf-0d1c426d83af · outbound

This paper cites Nonintersecting B rownian motions on the unit circle.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Nonintersecting B rownian motions on the unit circle

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Observation 0927ae88-07b7-4fee-b5eb-3a40323cd8cb · outbound

This paper cites E., Lytova, A., Tikhomirov, K., Tomczak-Jaegermann, N., and Youssef, P.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ E., Lytova, A., Tikhomirov, K., Tomczak-Jaegermann, N., and Youssef, P

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Observation 8d35e083-e577-4cb9-b38a-8186a05d8436 · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Unresolved cited work

Reference 63

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Observation a36888ec-8a55-43da-84cc-44004496f31a · outbound

This paper cites Convergence of the empirical spectral measure of unitary B rownian motion.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Convergence of the empirical spectral measure of unitary B rownian motion

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Curvatures of left invariant metrics on L ie groups

Reference 65

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ A., and Speicher, R

Reference 66

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ H., and O'Rourke, S

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Lectures on the Combinatorics of Free Probability

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Products of independent elliptic random matrices

Reference 69

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Products of independent non- H ermitian random matrices

Reference 70

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Observation 9044ba30-3fc5-48dd-b919-2ccad9069c1a · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ On the operator norm of non-commutative polynomials in deterministic matrices and iid H aar unitary matrices

Reference 71

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Asymptotic expansion of smooth functions in deterministic and iid haar unitary matrices, and application to tensor products of matrices

Reference 72

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices

Reference 73

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Observation e1348dc3-7bd0-4c52-85d8-c65ec12fb658 · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The spectrum of a tensor of random and deterministic matrices

Reference 74

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This paper cites The free energy of matrix models.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The free energy of matrix models

Reference 75

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Reference 76

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Invertibility of random matrices: unitary and orthogonal perturbations

Reference 77

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The limiting spectral law for sparse iid matrices, 2025

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Free convolution and the random sum of matrices

Reference 79

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Random matrices: universality of ESD s and the circular law

Reference 80

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Unresolved cited work

Reference 81

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Observation 4eee5ab6-df0d-4f5b-b9c9-03f07d26500d · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ T., Saloff-Coste, L., and Coulhon, T

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Limit laws for random matrices and free products

Reference 83

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This paper cites The analogues of entropy and of F isher's information measure in free probability theory.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The analogues of entropy and of F isher's information measure in free probability theory

Reference 84

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Observation f4f17be6-9207-45dc-bd1f-098ae93aa0c6 · outbound

This paper cites The analogues of entropy and of F isher's information measure in free probability theory.

Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ The analogues of entropy and of F isher's information measure in free probability theory

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Bounds on the density of states in disordered systems

Reference 86

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Observation 1866ce5a-aa85-47c2-a8a3-b405793ddfd0 · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Unresolved cited work

Reference 87

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Observation 9aa7db9f-64ae-45e3-b1d7-d7ad9f23735f · outbound

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Eigenvalues of Brownian Motions on $\mathrm{GL}(N,\mathbb{C})$ Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra

Reference 88

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