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Groups with polynomial geodesic growth
Geodesic growth virtually nilpotent group with virtu-ally cyclic abelianization
2010/12/13
We study the geodesic growth function for finitely gen-erated groups, and we show that there is a strong relation be-tween virtually cyclic groups and the existence of generating sets
for which geode...
On the growth of restricted integer partition functions
integer partitions asymptotic growth
2010/12/10
We study the rate of growth of p(n, S,M), the number of partitions of n whose parts all belong to S and whose multiplicities all belong to M, where S (resp. M) are given infinite sets of positive (res...
Asymptotic growth of saturated powers and epsilon multiplicity
Asymptotic growth of saturated powers epsilon multiplicity
2010/12/9
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.
Examples of non-polygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models
Examples of non-polygonal infinite coexistence spatial growth models
2010/12/6
We construct an edge-weight distribution for i.i.d. first-passage percolation on Z2 whose limit shape is not a polygon and has extreme points which are arbitrarily dense in the boundary. Consequently,...
The large class of moving boundary processes in the plane modeled by the so-called Laplacian growth, which describes, e.g., solidification, electrodeposition, viscous fingering, bacterial growth, etc....
We establish (i) that the quasiconvexifcation of the distance function to any closed (possibly unbounded) subset of the space of conformal matrices $E_{\partial}$ in $M^{2\times 2}$ is bounded from be...
Some inequalities concerning the rate of growth of polynomials
Polynomial Zeros Inequalities
2010/2/25
In this paper we consider a class of polynomials p(z)=a0+\sumlv=tn avzv, t\ge1, not vanishing in |z|the dependence of max z |p(Rz)-p(z)| on max z |p(z)|. Our result not only...
Holomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold
Holomorphic Functions Exponential Growth Projective Manifold
2010/10/29
Let M be a projective manifold, p:M_{G} --> M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on M_{G} of an exponential growth with respect to...