Results 21 to 30 of about 24,650 (145)

Kernel Reconstruction for Delayed Neural Field Equations [PDF]

The Journal of Mathematical Neuroscience, 2018
Understanding the neural field activity for realistic living systems is a challenging task in contemporary neuroscience. Neural fields have been studied and developed theoretically and numerically with considerable success over the past four decades.
Jehan Alswaihli, Roland Potthast, Ingo Bojak, Douglas Saddy, Axel Hutt   +4 more
openaire   +3 more sources

Singularities of Green functions of the products of the Laplace type operators [PDF]

, 1997
The structure of diagonal singularities of Green functions of partial differential operators of even order acting on smooth sections of a vector bundle over a Riemannian man ifold is studied.
Amsterdamski, Avramidi, Avramidi, Avramidi, Avramidi, Barvinsky, Bogolyubov, De Witt, Gilkey, Gilkey, Hadamard, I.G. Avramidi, Minakshisundaram, Seeley   +13 more
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3D-4D Interlinkage Of qqq Wave Functions Under 3D Support For Pairwise Bethe-Salpeter Kernels [PDF]

, 1998
Using the method of Green's functions within a Bethe-Salpeter framework characterized by a pairwise qq interaction with a Lorentz-covariant 3D support to its kernel, the 4D BS wave function for a system of 3 identical relativistic spinless quarks is ...
A. N. MITRA, Bernard E.g., V., Cahill R., Efimov G. V., Eguchi T., Faddeev L. D., Feynman R. P., Kalinowski Yu. L., Markov M. A., Mitra A. N., Mitra A. N., Munczek H. J., Sharma A., Simic P.   +13 more
core   +2 more sources

The Spectral Zeta Function for Laplace Operators on Warped Product Manifolds of the type $I\times_{f} N$

, 2011
In this work we study the spectral zeta function associated with the Laplace operator acting on scalar functions defined on a warped product of manifolds of the type $I\times_{f} N$ where $I$ is an interval of the real line and $N$ is a compact, $d ...
A. Flachi, A.O. Barvinsky, C.M. Bender, D.B. Ray, E. Elizalde, E. Elizalde, G. Esposito, G. Fucci, G. Fucci, G. Fucci, Guglielmo Fucci, H.A. Chamblin, J. Cheeger, J. Garriga, J.S. Dowker, K. Kirsten, K. Kirsten, K. Kirsten, Klaus Kirsten, L. Randall, M. Bordag, M. Bordag, M. Bordag, N.D. Birrell, P.B. Gilkey, S. Minakshisundaram, S.A. Fulling, S.K. Blau, S.W. Hawking   +28 more
core   +1 more source

On the non-local heat kernel expansion

, 2013
We propose a novel derivation of the non-local heat kernel expansion, first studied by Barvinsky, Vilkovisky and Avramidi, based on simple diagrammatic equations satisfied by the heat kernel. For Laplace-type differential operators we obtain the explicit
Alessandro Codello, Esposito G., Omar Zanusso   +2 more
core   +1 more source

On U-Statistics and Compressed Sensing II: Non-Asymptotic Worst-Case Analysis [PDF]

, 2012
In another related work, U-statistics were used for non-asymptotic "average-case" analysis of random compressed sensing matrices. In this companion paper the same analytical tool is adopted differently - here we perform non-asymptotic "worst-case ...
Lim, Fabian, Stojanovic, Vladimir
core   +1 more source

Companion Matrices and Their Relations to Toeplitz and Hankel Matrices

, 2014
In this paper we describe some properties of companion matrices and demonstrate some special patterns that arise when a Toeplitz or a Hankel matrix is multiplied by a related companion matrix. We present a new condition, generalizing known results, for a
Hill, Robin, Luo, Yousong
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Reproducing kernel functions for difference equations

Discrete & Continuous Dynamical Systems - S, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akgul, Ali, Inc, Mustafa, Karatas, Esra
openaire   +4 more sources

Kernel Methods for Discrete-Time Linear Equations [PDF]

, 2019
Methods from learning theory are used in the state space of linear dynamical systems in order to estimate the system matrices and some relevant quantities such as a the topological entropy.
Hamzi, Boumediene, Colonius, Fritz
openaire   +3 more sources

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
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