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The Central Limit Theorem for Iterated Functions Systems on the circle is proved. We study also ergodicity of such systems.

动力系统 · 数学 2017-08-04 Tomasz Szarek , Anna Zdunik

Reflecting diffusions on continuum percolation clusters are considered. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies geometrical conditions such as volume regularity, isoperimetric conditions,…

概率论 · 数学 2024-03-08 Yutaka Takeuchi

A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling fermentor. Potential applications include water purification…

动力系统 · 数学 2018-09-10 Ting-Hao Hsu , Tyler Meadows , Lin Wang , Gail S. K. Wolkowicz

In this paper we represent a new form of condition for the consistency of the matrix equation AXB=C. If the matrix equation AXB=C is consistent, we determine a form of general solution which contains both reproductive and non-reproductive…

环与代数 · 数学 2012-12-04 Biljana Radicic , Branko Malesevic

This thesis develops the theory of whispering gallery modes, exploring under what conditions a micro or nanoscale device can sustain these resonances, and for which physical criteria the resonance conditions deteriorate. The study is then…

光学 · 物理学 2018-09-11 Jonathan M. M. Hall

We consider two algorithms which can be used for proving positivity of sequences that are defined by a linear recurrence equation with polynomial coefficients (P-finite sequences). Both algorithms have in common that while they do succeed…

符号计算 · 计算机科学 2010-05-05 Manuel Kauers , Veronika Pillwein

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

种群与进化 · 定量生物学 2019-06-19 Efe Ilker , Michael Hinczewski

The main topic of this paper is the investigation of the modes of interaction of globular clusters (GCs) moving in the inner part of a galaxy. This is tackled by means of high-resolution N-body simulations, whose first results are presented…

天体物理学 · 物理学 2010-11-11 P. Miocchi , R. Capuzzo Dolcetta , P. Di Matteo , A. Vicari

In this article we study a chemical reaction-diffusion system with $m$ unknown concentration. The non-linearity in our study comes from a particular chemical reaction where one unit of a particular species generated from other $m-1$ species…

偏微分方程分析 · 数学 2024-07-02 Saumyajit Das

We provide a sufficient criterion for the recurrence of spatial random graphs on the real line based on the scarceness of long-edges. In particular, this complements earlier recurrence results obtained by Gracar et al. (Electron. J. Probab.…

概率论 · 数学 2024-08-14 Christian Mönch

I introduce a generic method for inference about a scalar parameter in research designs with a finite number of heterogeneous clusters where only a single cluster received treatment. This situation is commonplace in…

计量经济学 · 经济学 2020-10-09 Andreas Hagemann

Measuring the statistical dependence between observed signals is a primary tool for scientific discovery. However, biological systems often exhibit complex non-linear interactions that currently cannot be captured without a priori knowledge…

It has been known for many years that small fractions of persister cells resist killing in many bacterial colony-antimicrobial confrontations. These persisters are not believed to be mutants. Rather it has been hypothesized that they are…

细胞行为 · 定量生物学 2007-05-23 I. Klapper , P. Gilbert , B. P. Ayati , J. Dockery , P. S. Stewart

This paper is aimed at emphasizing some of the main hints, constraints and difficulties we currently have in trying to understand how globular clusters formed, along with their multiple stellar generations, an issue that must be regarded as…

星系天体物理 · 物理学 2013-02-05 Alvio Renzini

A solid observational characterization of cluster regions around the virial radius would allow us to improve considerably our understanding of the physics of galaxy clusters as a whole: sadly current and planned experiments will not allow…

天体物理学 · 物理学 2009-11-10 Silvano Molendi

Recent experimental evidence suggests that acute myeloid leukemias may originate from multiple clones of malignant cells. Nevertheless it is not known how the observed clones may differ with respect to cell properties such as proliferation…

组织与器官 · 定量生物学 2014-10-07 Thomas Stiehl , Natalia Baran , Anthony D. Ho , Anna Marciniak-Czochra

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

统计力学 · 物理学 2018-08-01 Miguel A. Munoz

We examine the existence (and mostly non-existence) of fresh sets in commonly used iterations of Prikry type forcing notions. Results of [4] are generalized. As an application, a question of a referee of [9] is answered. In addition…

逻辑 · 数学 2024-03-05 Moti Gitik , Eyal Kaplan

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

偏微分方程分析 · 数学 2007-05-23 Radek Erban , Hyung Ju Hwang

The state of chromatin in individual cells is directly related to the state of the whole organism and may be used for assessment of the state of the whole organism. Many hereditary diseases are connected with chromatin rearrangements.…

细胞行为 · 定量生物学 2018-12-04 Yuriy Shckorbatov