Results 31 to 40 of about 30,405 (240)
Asymptotics of a class of Fredholm determinants
, 1998 In this expository article we describe the asymptotics of certain Fredholm determinants which provide solutions to the cylindrical Toda equations, and we explain how these asymptotics are derived.
Tracy, Craig A., Widom, Harold
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Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]
, 2007 A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
Abrahams +16 more
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Journal of Function Spaces, 2023 In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami +2 more
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Counterexamples in Scale Calculus
, 2019 We construct counterexamples to classical calculus facts such as the Inverse and Implicit Function Theorems in Scale Calculus -- a generalization of Multivariable Calculus to infinite dimensional vector spaces in which the reparameterization maps ...
Filippenko, Benjamin +2 more
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Bounded and unbounded Fredholm modules for quantum projective spaces [PDF]
, 2010 We construct explicit generators of the K-theory and K-homology of the coordinate algebra of `functions' on quantum projective spaces. We also sketch a construction of unbounded Fredholm modules, that is to say Dirac-like operators and spectral triples ...
Cuntz +3 more
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Statistical properties of general Markov dynamical sources: applications to information theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 In \textitDynamical sources in information theory: fundamental intervals and word prefixes, B. Vallée studies statistical properties of words generated by dynamical sources. This is done using generalized Ruelle operators.
Frédéric Chazal +1 more
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Convergence Comparison of two Schemes for Common Fixed Points with an Application
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear ...
Salwa Salman Abed +1 more
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Smooth infinite economies [PDF]
, 1996 Equilibrium conditions in smooth infinite economies with separable utilities are described by Fredholm maps, which are Frechet differentiable. Therefore, Smale's extension of Sard's theorem can be used to study infinite economies.
Chichilnisky, Graciela, Zhou, Yuqing
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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