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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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Feynman integrals and Fredholm determinants
Journal of Mathematical Physics, 1994In this article simple properties of Feynman integrals such as the translation invariance, Fubini theorem, and Cameron–Martin formula are used in order to derive a product formula for Fredholm determinants. This formula enables us to compute explicitly some of such determinants as well as the index of the related Fredholm operators.
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Fredholm determinant representation of the homogeneous Painlevé II τ -function
Nonlinearity, 2021Harini Desiraju
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Fredholm determinant for a Bogoliubov Hamiltonian
Physical Review Letters, 1994openaire +2 more sources
On The Determination of the Eigenfunctions of Fredholm Equations
Journal of Mathematics and Physics, 1948openaire +2 more sources
Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity
Communications in Mathematical Physics, 2013Daniel Remenik +2 more
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