Mariya Shcherbina
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Ukrainian mathematician
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Mariya Shcherbinamathematics Degrees
Mathematics
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#6643
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Group Theory
#362
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#417
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Number Theory
#422
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#522
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Algebra
#640
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#844
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Mathematics
Mariya Shcherbina's Degrees
- PhD Mathematics Taras Shevchenko National University of Kyiv
- Masters Mathematics Taras Shevchenko National University of Kyiv
- Bachelors Mathematics Taras Shevchenko National University of Kyiv
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Why Is Mariya Shcherbina Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mariya Vladimirovna Shcherbina is a Ukrainian mathematician and mathematical physicist who studies the theory of random matrices. She is a corresponding member of the National Academy of Sciences of Ukraine, and the 2009 winner of the Mikhail Vasilyevich Ostrogradsky Prize.
Mariya Shcherbina's Published Works
Published Works
- Eigenvalue Distribution of Large Random Matrices (2011) (406)
- Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles (1997) (205)
- Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices (2011) (152)
- On the statistical mechanics approach in the random matrix theory: Integrated density of states (1995) (151)
- Absence of self-averaging of the order parameter in the Sherrington-Kirkpatrick model (1991) (121)
- Fluctuations of Linear Eigenvalue Statistics of β Matrix Models in the Multi-cut Regime (2012) (101)
- On the 1/n Expansion for Some Unitary Invariant Ensembles of Random Matrices (2001) (98)
- Bulk Universality and Related Properties of Hermitian Matrix Models (2007) (90)
- Eigenvalue distribution of large weighted random graphs (2004) (78)
- Fluctuations of eigenvalues of matrix models and their applications (2010) (64)
- Change of variables as a method to study general β-models: Bulk universality (2013) (62)
- The replica-symmetric solution without replica trick for the Hopfield model (1994) (55)
- Orthogonal and Symplectic Matrix Models: Universality and Other Properties (2010) (44)
- On the edge universality of the local eigenvalue statistics of matrix models (2003) (37)
- Characteristic Polynomials for 1D Random Band Matrices from the Localization Side (2016) (34)
- The free energy of a class of Hopfield models (1993) (32)
- Large Block Properties of the Entanglement Entropy of Free Disordered Fermions (2016) (32)
- On Fluctuations of Eigenvalues of Random Band Matrices (2015) (29)
- Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs (2009) (26)
- Universality for 1d Random Band Matrices: Sigma-Model Approximation (2018) (22)
- Transfer Matrix Approach to 1d Random Band Matrices: Density of States (2016) (21)
- On the replica symmetric equations for the Hopfield model (1999) (17)
- On Universality for Orthogonal Ensembles of Random Matrices (2009) (16)
- Universality for 1d Random Band Matrices (2019) (14)
- Double scaling limit for matrix models with nonanalytic potentials (2005) (13)
- On the norm of random matrices (1995) (11)
- Classical heisenberg model at zero temperature (1989) (7)
- Spherical limit of n-vector correlations (1988) (6)
- Szego-Type Theorems for One-Dimensional Schrodinger Operator with Random Potential (Smooth Case) (2018) (6)
- Quantum Hopfield Model (2012) (4)
- Generalization and learning error for nonlinear perceptron (2002) (3)
- TRANSFER OPERATOR APPROACH TO 1D RANDOM BAND MATRICES (2019) (3)
- Some Mathematical Problems of Neural Networks Theory (2005) (3)
- Finite-Rank Complex Deformations of Random Band Matrices: Sigma-Model Approximation (2021) (2)
- DYNAMICAL BEHAVIOUR OF A LARGE COMPLEX SYSTEM (2006) (2)
- Asymptotic expansions for β matrix models and their applications to the universality conjecture (2014) (2)
- Fluctuations of the eigenvalue number in the fixed interval for $\beta$-models with $\beta=1,2,4$ (2015) (2)
- Fluctuations of Linear Eigenvalue Statistics of β Matrix Models in the Multi-cut Regime (2013) (2)
- Unitary matrix models (2011) (2)
- Free energy of the two-dimensionalU(n)-gauge field theory on the sphere (1998) (2)
- Large-n limit of the Heisenberg model: The decorated lattice and the disordered chain (1989) (1)
- Optimal movement control models of Langevin and Hamiltonian types (2007) (1)
- The Least Singular Value of the General Deformed Ginibre Ensemble (2022) (1)
- Saddle point equations of a neural network with correlated attractors (1994) (1)
- Absence of Self-Averaging of the Order in the Sherrington-Kirkpatrick Model (1991) (1)
- The Erwin Schrr Odinger International Institute for Mathematical Physics on Asymptotic Properties of Certain Orthogonal Polynomials on Asymptotic Properties of Certain Orthogonal Polynomials (2009) (1)
- The infinite component limit of the random anisotropy n-vector model (1994) (0)
- Jacobi matrices and limiting laws for linear eigenvalue statistics (2011) (0)
- Gaussian ensembles: Semicircle law (2011) (0)
- Transfer Matrix Approach to 1d Random Band Matrices: Density of States (2016) (0)
- Universality for 1d Random Band Matrices: Sigma-Model Approximation (2018) (0)
- On Fluctuations of Eigenvalues of Random Band Matrices (2015) (0)
- Classical compact group ensembles: Further results (2011) (0)
- Stability of the dynamics of an asymmetric neural network (2006) (0)
- 2 0 M ay 2 01 9 Transfer operator approach to 1 d random band matrices (2019) (0)
- STABILITY OF ASYNCHRONOUS STATES OF SPIKING NEURONS (2004) (0)
- Characteristic Polynomials for 1D Random Band Matrices from the Localization Side (2017) (0)
- Gaussian ensembles: Central Limit Theorem for linear eigenvalue statistics (2011) (0)
- Wishart and Laguerre ensembles (2011) (0)
- Large Block Properties of the Entanglement Entropy of Free Disordered Fermions (2016) (0)
- Statistical Mechanics Approach in the Random Theory: Integrated Density of States (1995) (0)
- Gaussian unitary ensemble (2011) (0)
- Universality for real symmetric matrix models (2011) (0)
- Bulk universality for Hermitian matrix models (2011) (0)
- UNIVERSALITY OF THE LOCAL EIGENVALUESTATISTICS FOR A CLASS OF UNITARY INVARIANTRANDOM MATRIX (1997) (0)
- Gaussian ensembles: Joint eigenvalue distribution and related results (2011) (0)
- Universality for special points of Hermitian matrix models (2011) (0)
- Sample covariance and related matrices (2011) (0)
- Convexity and Intersection of Random Spaces (2002) (0)
- O ct 2 01 9 Universality for 1 d random band matrices (2019) (0)
- Matrix models: Global regime (2011) (0)
- Matrices with Gaussian correlated entries (2011) (0)
- Classical compact groups ensembles: Global regime (2011) (0)
- Gaussian orthogonal ensemble (2011) (0)
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