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FAST GROWTH IN THE FOLNER FUNCTION FOR THOMPSON’S GROUP F
FAST GROWTH FOLNER FUNCTION THOMPSON’S GROUP F
2015/8/17
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 ...
Generalized Thompson Sampling for Sequential Decision-Making and Causal Inference
Generalized Thompson Sampling Sequential Decision-Making Causal Inference
2013/5/2
Recently, it has been shown how sampling actions from the predictive distribution over the optimal action-sometimes called Thompson sampling-can be applied to solve sequential adaptive control problem...
Further Optimal Regret Bounds for Thompson Sampling
Further Optimal Regret Bounds Thompson Sampling
2012/11/23
Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several s...
Thompson Sampling for Contextual Bandits with Linear Payoffs
Thompson Sampling Contextual Bandits Linear Payoffs
2012/11/23
Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several s...
Thompson's group F and Linear group GL_{infty}(ZZ)
Thompson's group F Word-metric Lipschitz map
2011/10/20
Thepaper proves that there is an injective Lipschitz map arphi:(F, d_{S})longrightarrow(H,d),where F is the Thompson's group, d_{S} is the word-metric of F with respect to the finite generating set S...
On finite decomposition complexity of Thompson's group F
Thompson's group F Finite decomposition complexity Word-metric Exact metric spaces Reduced forest diagram
2011/10/20
Finite decomposition complexity m(FDC) is a large scale property of a metricspace. It generalizes finite asymptoticdimension and applies to a wide class of groups. To make the property quantitative, a...
Distortion of wreath product in Thompson's group F
Thompson's group F restricted wreath product quasi-isometrically embedded
2011/10/20
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Centralizers in R. Thompson's group V_n
Centralizers R. Thompson's group Group Theory Dynamical Systems
2011/8/25
Abstract: Let n be bigger than 1 and let A be an element in the Higman-Thompson group V_n. We study the structure of the centralizer of a in V_n through a careful analysis of the action of the group g...
Abstract: Let X and Y be two nxn Hermitian matrices. In the article "Proof of a conjectured exponential formula" (Linear and Multilinear Algebra (19) 1986, 187-197) R. C. Thompson proved that there ex...
Confidence bands for Horvitz-Thompson estimators using sampled noisy functional data
CLT functional data local polynomial smoothing maximal inequalities space of continuous functions suprema of Gaussian processes survey sampling weighted crossvalidation
2011/6/17
When collections of functional data are too large to be exhaustively observed, survey
sampling techniques provide an eective way to estimate global quantities such as
the population mean function. ...
On Explicit Holmes-Thompson Area Formula in Integral Geometry
Minkowski space Holmes-Thompson Volume symplectic structure
2010/12/13
In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Cohomological finiteness properties Brin-Thompson-Higman groups 2V 3V
2010/12/10
We show that Brin’s generalisations 2V and 3V of the Thompson-Higman group V are of type FP1. Our methods also give a new proof that both groups are finitely presented.
A slight modification of the definition of the Thompson-Higman groups Gk,1 and Fk,1 leads to
inverse monoids that map onto Gk,1 (respectively Fk,1), and that have interesting properties: they are fin...
提出一种新的不跨越边界的基于Horvitz-Thompson估计量的分层自适应群团抽样方法,给出其估计量公式,并证明其无偏性。将9种抽样方法(简单随机抽样、分层简单随机抽样、基于修正Hansen-Hurwitz估计量的ACS、基于修正Horvitz-Thompson估计量的ACS、跨越边界基于Hansen-Hurwitz估计量的ACSI、跨越边界基于Hansen-Hurwitz估计量的ACSII、...