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The fredholm determinant method for the KdV equations
Physica D: Nonlinear Phenomena, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Fredholm Random Determinants
1990Let Ξ n be a square random matrix. We call the random function det(I +t Ξ n , where t is a real or complex variable, the Fredholm random determinant of the matrix Ξ n . Fredholm random determinants carry important information about random matrices. With their help, the limiting distributions for eigenvalues of the random matrices can be found.
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A Fredholm Determinant Formula for Section Determinants of Bounded Operators
Integral Equations and Operator Theory, 2004The author proves a Fredholm determinant formula for section determinants of bounded operators. To be more precise, let \(A\) be a linear bounded operator action on a Hilbert space \(H\) and let \(U:=e^A\) be the exponential function of \(A\). Splitting \(H=H_1\oplus H_2\), where \(H_1\) is finite-dimensional and \(H_2\) is separable, \(U\) can be ...
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Fredholm determinants and multiple solitons
Journal of Mathematical Physics, 1976The discrete inverse scattering problem in one dimension is considered. Exact solutions are obtained using elementary algebraic tools. Expressions found involve determinants of infinite-dimensional matrices. A simple, heuristic, limiting process yields the solution for the continuous problem.
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Fermion Process and Fredholm Determinant
2000We construct a family of probability measures on a configuration space associated with Fredholm determinants for symmetric integral operators. For these probability measures we show basic limit theorems (law of large numbers, central limit theorem and large deviation.) Also we deal with shift dynamical systems naturally corresponding to these ...
Tomoyuki Shirai, Yoichiro Takahashi
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Fredholm determinants and Z n -mKdV/Z n -sinh-Gordon hierarchies
International Journal of Nonlinear Sciences and Numerical Simulation, 2022Chuanzhong Li
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Integrating evolution equations using Fredholm determinants
Electronic Research Archive, 2021Feride Tiğlay
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Social determinants of health and US cancer screening interventions: A systematic review
Ca-A Cancer Journal for Clinicians, 2023Ariella Korn
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Fredholm determinants for the Hulthén-distorted separable potential
Pramana - Journal of Physics, 2021Bidhan Khirali, Ujjwal Laha
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