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We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions which are defined recursively on dim...
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Let G be a reductive algebraic group over C and denote its Lie algebra by g. Let Oh be a closed G-orbit through a semisimple element h ∈ g. By a result of Borho and Kraft [BK79], it is known that the ...
We consider the entropy of the solution to the heat equation on a Riemannian manifold. When the manifold is compact, we provide two estimates on the rate of change of the entropy in terms of the lower...
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
Consider a quantum system S that interacts sequentially with a chain (environment) of identical probes C = P + P + : : :, with each interaction governed by a xed interaction time  and operator V .I...
A navigation on a set of points is a rule for choosing which point to move to from the present point in order to progress toward a specified target. In the present paper we study some “geometrical b...
In this paper, we study the growth of saturated powers of modules. In the case of an ideal I in a local ring (R,m), the saturation of Ik in R is (Ik)sat = Ik :R m ∞ = ∪∞n=1Ik :R m n.
Diversity–multiplexing tradeoff (DMT) was characterized asymptotically (SNR-> infinity) for i.i.d. Rayleigh fading channel by Zheng and Tse [1].
An evolution problem for abstract differential equations is studied. The typical problem is: ˙ u = A(t)u+F(t,u), t ≥ 0; u(0) = u0; ˙ u =du dt ∗)Here A(t) is a linear bounded operator in a Hilbe...
A phase-field model based on the Gurtin-Pipkin heat flux law is considered. The resulting system has been investigated by Colli and Laurencot who proved existence and uniqueness results, when the time...
The study of zeros of orthogonal functions is an important topic. In this paper, by improving the middle variable $x(t)$, we've got a new form of asymptotic approximation, completed with error bounds,...
An abstract version of Lyapunov exponents is defined for positive homogeneous maps on Homogeneous Lattices and a sufficient condition is given for the asymptotic stability of the map.
A non-autonomous partial differential equation describing the dynamics of a uniform pipe and a system describing the dynamics of a rotating shaft are considered.Sufficient conditions for the global as...

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