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We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form $\exp(n^\alpha)$ for some $\alpha<1$,…

Group Theory · Mathematics 2022-05-05 Laurent Bartholdi , Volodymyr Nekrashevych , Tianyi Zheng

We obtain results on the growth sequences of the differential for iterations of circle diffeomorphisms without periodic points.

Dynamical Systems · Mathematics 2007-05-23 Nobuya Watanabe

We consider discrete metric spaces and we look for non-constant contractions. We introduce the notion of contractive map and we characterize the spaces with non-constant contractive maps. We provide some examples to discussion the possible…

Classical Analysis and ODEs · Mathematics 2010-11-19 Fabio Zucca

In this work, some counterexamples are given to refute some results reported in the paper by Guo and Li [8] (J Optim Theory Appl 162,(2014), 821-844). We correct the faulty in some of their theorems and we present alternative proofs.…

Functional Analysis · Mathematics 2019-02-12 Allahkaram Shafie , Fari Bozorgnia

I discuss the current status of parton distributions. I outline the wide variety of different parton distributions available, and highlight which are either necessary or suitable for use at present.

High Energy Physics - Phenomenology · Physics 2017-08-23 R. S. Thorne

In studying network growth, the conventional approach is to devise a growth mechanism, quantify the evolution of a statistic or distribution (such as the degree distribution), and then solve the equations in the steady state (the…

Physics and Society · Physics 2014-11-05 Babak Fotouhi

We improve previous results by exhibiting a construction that contains all known examples. A suficient condition for the existence of robustly transitive maps displaying singularities on a certain large class of compact manifolds is given.

Dynamical Systems · Mathematics 2021-05-10 Juan Carlos Morelli

The logistic equation is ubiquitous in applied mathematics as a minimal model of saturating growth. Here, we examine a broad generalisation of the logistic growth model to discretely structured populations, motivated by examples that range…

Populations and Evolution · Quantitative Biology 2025-05-15 Benjamin J. Walker , Helen M. Byrne

In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.

Representation Theory · Mathematics 2026-04-07 Jonathan Gruber , Daniel Tubbenhauer

So far, one-factor copulas induce conditional independence with respect to a latent factor. In this paper, we extend one-factor copulas to conditionally dependent models. This is achieved through new representations which allow to build new…

Methodology · Statistics 2016-12-12 Nathan Uyttendaele , Gildas Mazo

A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either constant or exponentially growing.

Combinatorics · Mathematics 2022-03-21 Erkko Lehtonen , Tamás Waldhauser

Determinantal point process have recently been used as models in machine learning and this has raised questions regarding the characterizations of conditional independence. In this paper we investigate characterizations of conditional…

Probability · Mathematics 2014-07-01 Tvrtko Tadić

These notes are a self-contained short proof of the stability of persistence diagrams.

Algebraic Topology · Mathematics 2021-03-22 Primoz Skraba , Katharine Turner

We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with…

Statistical Mechanics · Physics 2015-06-11 Luis F. Lafuerza , Raul Toral

Supplementary Material for "Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"

Statistics Theory · Mathematics 2019-05-23 Christian M. Hafner , Oliver B. Linton , Haihan Tang

Effort has been given for the development of an analytical approach that helps to address several sigmoidal and non-sigmoidal growth processes found in literature. In the proposed approach, the role of specific growth rate in different…

Physics and Society · Physics 2016-10-21 Dibyendu Biswas , Swarup Poria , Sankar Nayaran Patra

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Sanford Weisberg

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Berwin A. Turlach

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Robert A. Stine

Discussion of ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Saharon Rosset , Ji Zhu
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