Ara
Toplam kayıt 40, listelenen: 1-10
Graph-directed sprays and their tube volumes via functional equations
(European Mathematical Soc, 2017)
The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we define a notion of a graph-directed spray, associated with a weighted directed ...
Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action
(Springer, 2003)
We obtain an elliptic system of monopole equations on 8-manifolds with Spin(7) holonomy by minimizing an action involving negative spinors coupled to an abelian gauge field.
A note on positive Lyapunov exponent and sensitive dependence on initial conditions
(Pergamon-Elsevier Science LTD, 2001)
In this note, we give two examples of discrete dynamics (Functions) on intervals C R, the first having a positive Lyapunov exponent at a point but not being sensitive-dependent on initial conditions at that point; and the ...
?-blocking and hysteresis in the EEG
(1995)
We investigated the phenomenon of ?-blocking by using a smoothly changing illumination as the visual stimulus and showed that there is no increase of ß-waves during ?-blocking. We were unable to see any form of ?-ß competition ...
Linear connections on light-like manifolds
(Scientific Technical Research Council Turkey-Tubitak, 2008)
It is well-known that a torsion-free linear connection on a light-like manifold (M, g) compatible with the degenerate metric g exists if and only if Rad(TM) is a Killing distribution. In case of existence, there is an ...
Inner Tube Formulas for Polytopes
(Amer Mathematical Soc, 2012)
We show that the volume of the inner r-neighborhood of a polytope in the d-dimensional Euclidean space is a pluriphase Steiner-like function, i.e. a continuous piecewise polynomial function of degree d, thus proving a ...
On the Minkowski measurability of self-similar fractals in Rd
(2013)
The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ...
Finite-monotonicity of eigenfunctions of the Laplacian on the Sierpinski Gasket
(World Scientific Publ Co Pte LTD, 2005)
We show that the restriction of an eigenfunction of the Laplacian on the Sierpinski Gasket (SG) to any segment inside the SG is monotone on finite pieces, i.e. there is a subdivision of the segment, such that the function ...
Chaos in product maps
(Scientific Technical Research Council Turkey-Tubitak, 2010)
We discuss how chaos conditions on maps carry over to their products First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic We then remark that if two maps ...
The geometry of self-dual two-forms
(Amer Inst Physics, 1997)
We show that self-dual two-forms in 2n-dimensional spaces determine a n(2)-n+1-dimensional manifold S-2n and the dimension of the maximal linear subspaces of S-2n is equal To the (Radon-Hurwitz) number of linearly independent ...