The purpose of this study is to distinguish two possibilities that the transformed cells are blocked to enter a resting state (G0) and that they enter but are persistently stimulated to return to a growing cycle, using SV40-transformed r.v.l'l60 cells as a model system, rv.ll 60 is a temper ature-sensitive (r\) mutant of a Fischer rat cell line (3Y1), which is classified as a G0 mutant; i.e., t...

Let X be a finite aspherical CW-complex whose fundamental group π1(X) possesses a subnormal series π1(X) ⊲ Gm ⊲ . . . ⊲ G0 with a non-trivial elementary amenable group G0. We investigate the L2-invariants of the universal covering of such a CW-complex X. We show that the NovikovShubin invariants αn(X̃) are positive. We further prove that the L2-torsion ρ(2)(X̃) vanishes if π1(X) has semi-integral...

In this paper, we consider hyperbolic rotation (G0), hyperbolic translation (G1) and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G0 in H3. Also, we give explicit parametrization of this invariant surfaces with respect to constant hyperbolic curvature of p...

Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation ẍ+ g1(ẋ) + g0(x) = f(t) . His condition is based on a functional that depends on the solution to the above equation with g0 = 0. However, that solution is not always explicitly known which makes the condition unverifiable in practical situations. As an alternative, we find computable bo...

The storage and loss moduli for jammed soft particles are studied computationally a variety of interparticle potentials volume fractions. qualitative behavior the modulus is independent nature potential. frequency dependence computed in simulations described by universal logistic formula exhibiting two plateaus at low high frequencies. While high-frequency G∞ follows prediction Zwanzig–Mountain...

Under certain conditions, a recent method of Barlet and Koziarz [2] constructs enough holomorphic functions to give a direct proof of the Stein condition for a cycle space. Here we verify those conditions for open G0–orbits on X, where G0 is the group of a bounded symmetric domain and X is its compact dual viewed as a flag quotient manifold of the complexification G of G0 . This Stein result wa...

Let G be a real semisimple Lie group. Let g0 be the Lie algebra of G. We will denote the complexification of any vector space V0 by V and its dual by V ∗. Let g0 = k0 + p0 be a fixed Cartan decomposition corresponding to the Cartan involution θ of g0. Let K be the corresponding maximal compact subgroup of G. Let us fix T ⊂ K a maximal torus. Define S ⊂ t∗ as the set of weights of T that are sum...

A p-divisible group over a field K admits a slope decomposition; associated to each slope λ is an integer m and a representation Gal(K) → GLm(Dλ), where Dλ is the Qp-division algebra with Brauer invariant [λ]. We call m the multiplicity of λ in the p-divisible group. Let G0 be a p-divisible group over a field k. Suppose that λ is not a slope of G0, but that there exists a deformation of G in wh...