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The purpose of this note is to prove a lower bound on the growth of Følner functions for Thompson’s group F . Specifically I will prove that, for any finite generating set Γ ⊆ F , there is ...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
Variational problems with linear growth in dimension 1.
Let S be an orientable surface with negative Euler characteristic, let \psi\in\Mod(S) be a mapping class of S, and let T_{\psi} be the mapping torus of \psi. We study the action of lifts of \psi on th...
Abstract: We study the Poisson-Furstenberg boundary of random walks on permutational wreath products. We give a sufficient condition for a group to admit a symmetric measure of finite first moment wit...
Abstract: For every $\alpha \leq \beta$ in a left neighborhood $[\alpha_0,1]$ of 1, a group $G(\alpha,\beta)$ is constructed, the growth function of which satisfies $\limsup \frac{\log \log b_{G(\alph...
We show that if $k$ is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic $k$-algebra $A$ whose Gelfand-Kirillov dimension is at most six. In additio...
We compute all dynamical degrees of monomial maps. Our approach is based on the isomorphism between the polytope algebra of P. McMullen and the universal cohomology of complete toric varieties.
We prove that a finitely generated solvable group which is not virtually nilpotent has exponential conjugacy growth.
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without the use of the Littlew...
There have been a number of recent papers on the representation growth of various families of groups. In particular, see [LL], where very good estimates were given for the zeta function counting the c...
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
We introduce the growth partition function Z􀀀,G(t)associated with any cancellative infinite monoid 􀀀 with a finite generator system G. It is a power series in t whose coefficients l...
期刊信息 篇名 Involvement of SMAD4, but not of SMAD2, in transforming growth factor-beta1-induced trophoblast expression of matrix metalloproteinase-2. 语种 英文 撰写或编译 撰写 作者 Hai-Yan Lin,Qing Yang,Hong-Mei Wang,...

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