Existence of invariant manifolds for stochastic equations in infinite dimension
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Publication:1869055
DOI10.1016/S0022-1236(03)00008-9zbMath1013.60035MaRDI QIDQ1869055
Josef Teichmann, Damir Filipović
Publication date: 9 April 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
submanifoldsFrobenius theoreminterest rate modelsaffine term structureanalysis on Frechet spacesfinite-dimensional invariant
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Evolution inclusions (34G25) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the construction of finite dimensional realizations for nonlinear forward rate models
- Affine processes and applications in finance
- Invariant manifolds for weak solutions to stochastic equations
- Regularity of finite-dimensional realizations for evolution equations
- Hille-Yosida theory in convenient analysis.
- Interest Rate Dynamics and Consistent Forward Rate Curves
- On the Existence of Finite‐Dimensional Realizations for Nonlinear Forward Rate Models
- A Theory of the Term Structure of Interest Rates
- On the geometry of the term structure of interest rates
- The inverse function theorem of Nash and Moser
- Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation
- A YIELD‐FACTOR MODEL OF INTEREST RATES
- Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
- Consistency problems for Heath-Jarrow-Morton interest rate models
- Exponential-polynomial families and the term structure of interest rates
- A Frobenius theorem on convenient manifolds
- Stochastic Equations in Infinite Dimensions
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