Random fragmentation-coalescence processes out of equilibrium
随机分裂-聚结过程失去平衡
基本信息
- 批准号:EP/S036202/2
- 负责人:
- 金额:$ 10.66万
- 依托单位:
- 依托单位国家:英国
- 项目类别:Research Grant
- 财政年份:2023
- 资助国家:英国
- 起止时间:2023 至 无数据
- 项目状态:未结题
- 来源:
- 关键词:
项目摘要
Stochastic coalescence models describe how blocks of mass randomly join together over time according certain rules of random evolution. Conversely, stochastic fragmentation models describe how blocks of mass break apart over time, again according to certain rules of random evolution. Processes with one or antoher of theses actions, have been widely investigated. Coalescence has been an active field since the seminal work of Smoluchowski 100 years ago. Fragmentation is a more recently investigated phenomenon, with the the main foundational development starting from the work of Bertoin in the early 2000s. Little has been done, howver, in the rigorous mathematical literature regarding the combination of both actions of fragmentation and coalescence. Despite this fact, there is a strong motivation for the treatement of such models in the scientific literature thanks to applications in physical chemistry and genealogy, and more recently in group dynamics in the social sciences and biology.The purpose of this project is to thus investigate new probabilistic techniques to characterise the dynamics of tractable families of stochastic fragmentation-coalescence processes. One of the mathematical difficulties with such models is that they do not possess so-called reversibility properties. This means that when considering such processes time reversed, they do not exibit the mathematical convenience that would allow known analytical techniques to be used. For this reason, their analysis is generally difficult.In this proposal we will look at some special classes of fragmentation-coalescence models that were only very recently introduced into the literature (by the PI and CI as well as others) and for which some degree of tractability has already been demonstrated. We will use a mixture of techniques to analyse their stationary and quasi-stationary behaviour, exposing currently unknown behaviours and laying out a deeper understanding of how such models can be treated in general.
随机聚结模型描述了质量块如何根据随机演化的某些规则随时间随机结合在一起。相反,随机碎裂模型描述了质量块如何随着时间的推移而分裂,同样是根据随机演化的某些规则。具有这些动作中的一个或更多的过程已被广泛研究。自100年前斯莫卢乔夫斯基的开创性工作以来,合并一直是一个活跃的领域。碎片化是一个较新的研究现象,其主要的基础发展始于本世纪初贝尔托因的工作。然而,在严格的数学文献中,关于碎裂和结合这两种作用的组合,几乎没有做过什么。尽管如此,由于在物理化学和系谱中的应用,以及最近在社会科学和生物学中的群体动力学方面的应用,科学文献中有一个强烈的动机来处理这样的模型。因此,这个项目的目的是研究新的概率技术来表征可处理的随机碎裂-合并过程家族的动力学。这类模型的数学困难之一是它们不具备所谓的可逆性。这意味着,当考虑这种时间倒转的过程时,它们不会表现出允许使用已知分析技术的数学方便性。由于这个原因,他们的分析通常是困难的。在这项建议中,我们将着眼于一些特殊的破碎-合并模型,这些模型最近才被引入文献(由PI和CI以及其他人引入),并且已经证明了某种程度的易操纵性。我们将使用混合技术来分析它们的静态和准静态行为,揭示目前未知的行为,并对如何从总体上处理此类模型有更深的理解。
项目成果
期刊论文数量(2)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Ancestral reproductive bias in branching processes
分支过程中的祖先生殖偏差
- DOI:10.1007/s00285-023-01907-7
- 发表时间:2023
- 期刊:
- 影响因子:1.9
- 作者:Cheek D
- 通讯作者:Cheek D
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
数据更新时间:{{ journalArticles.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ monograph.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ sciAawards.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ conferencePapers.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ patent.updateTime }}
Andreas Kyprianou其他文献
Small Airway Disease, Air Trapping and Airways Responsiveness in Patients With Primary Pulmonary Hypertensio
- DOI:
10.1378/chest.124.4_meetingabstracts.222s - 发表时间:
2003-01-01 - 期刊:
- 影响因子:
- 作者:
Andreas Kyprianou;Darrin London;Maria Padilla;N. Kohn;Al Quinones;Steven Feinsilver;Alan Fein;X Arunabh - 通讯作者:
X Arunabh
Extreme Supervised Algorithm for Day Ahead Market Price Forecasting
用于日前市场价格预测的极端监督算法
- DOI:
10.1109/isc257844.2023.10293566 - 发表时间:
2023 - 期刊:
- 影响因子:0
- 作者:
Stylianos Loizidis;S. Theocharides;V. Venizelou;Demetris Evagorou;G. Makrides;Andreas Kyprianou;G. Georghiou - 通讯作者:
G. Georghiou
Utility of Centrifugation Lysis Blood Cultures in the Diagnosis of Mycobacteria Tuberculosis in HIV Patients: Association With CD4 Counts <50 cells/mm
- DOI:
10.1378/chest.124.4_meetingabstracts.114s-b - 发表时间:
2003-01-01 - 期刊:
- 影响因子:
- 作者:
M. Desruisseaux;Andreas Kyprianou;M.H. Kaplan;A.M. Fein;X. Arunabh - 通讯作者:
X. Arunabh
A stochastic optimisation framework for integrating photovoltaic systems, heat pumps, and energy storage in buildings
- DOI:
10.1016/j.applthermaleng.2025.127312 - 发表时间:
2025-11-01 - 期刊:
- 影响因子:6.900
- 作者:
Andreas V. Olympios;Matthias Mersch;Fanourios Kourougianni;Christos N. Markides;Antonio M. Pantaleo;Andreas Kyprianou;George E. Georghiou - 通讯作者:
George E. Georghiou
Entrance laws at the origin of self-similar Markov processes in high dimensions
高维自相似马尔可夫过程起源的入口定律
- DOI:
10.1090/tran/8086 - 发表时间:
2018-12 - 期刊:
- 影响因子:1.3
- 作者:
Andreas Kyprianou;Victor Rivero;Batı Şengül;Ting Yang - 通讯作者:
Ting Yang
Andreas Kyprianou的其他文献
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
{{ truncateString('Andreas Kyprianou', 18)}}的其他基金
Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad)
辐射传输数学理论:核技术前沿(MaThRad)
- 批准号:
EP/W026899/2 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Mathematical Theory of Radiation Transport: Nuclear Technology Frontiers (MaThRad)
辐射传输数学理论:核技术前沿(MaThRad)
- 批准号:
EP/W026899/1 - 财政年份:2022
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Random fragmentation-coalescence processes out of equilibrium
随机分裂-聚结过程失去平衡
- 批准号:
EP/S036202/1 - 财政年份:2020
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Stochastic analysis of the neutron transport equation and applications to nuclear safety
中子输运方程的随机分析及其在核安全中的应用
- 批准号:
EP/P009220/1 - 财政年份:2017
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Real-valued self-similar Markov processes and their applications
实值自相似马尔可夫过程及其应用
- 批准号:
EP/L002442/1 - 财政年份:2014
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Self-similarity and stable processes
自相似性和稳定过程
- 批准号:
EP/M001784/1 - 财政年份:2014
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Analytical properties of scale functions
尺度函数的分析性质
- 批准号:
EP/E047025/1 - 财政年份:2007
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
L\'evy processes optimal stopping problems and stochastic games
Levy 处理最优停止问题和随机博弈
- 批准号:
EP/D045460/1 - 财政年份:2007
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
Random walks and branching processes in random environments under Spitzer's condition
斯皮策条件下随机环境中的随机游走和分支过程
- 批准号:
EP/D064988/1 - 财政年份:2006
- 资助金额:
$ 10.66万 - 项目类别:
Research Grant
相似国自然基金
离散谱聚合与谱廓受限的传输理论与技术的研究
- 批准号:60972057
- 批准年份:2009
- 资助金额:36.0 万元
- 项目类别:面上项目
相似海外基金
BoCP-Implementation:US-Sao Paulo: Living on the edge: plant-animal interactions and the cascading impacts of Amazon forest fragmentation
BoCP-实施:美国-圣保罗:生活在边缘:植物与动物的相互作用以及亚马逊森林破碎化的连锁影响
- 批准号:
2325993 - 财政年份:2024
- 资助金额:
$ 10.66万 - 项目类别:
Standard Grant
A multi-scale theory for solid-granular transition due to fragmentation
碎裂引起的固体颗粒转变的多尺度理论
- 批准号:
DP240101206 - 财政年份:2024
- 资助金额:
$ 10.66万 - 项目类别:
Discovery Projects
Does chromosomal fragmentation cause premature ageing
染色体断裂会导致过早衰老吗
- 批准号:
BB/Y512515/1 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Training Grant
Assessing Quality of VA and Community Care in the MISSION Era
评估 MISSION 时代 VA 和社区护理的质量
- 批准号:
10533410 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Integrative Data Science Approach to Advance Care Coordination of ADRD by Primary Care Providers
综合数据科学方法促进初级保健提供者对 ADRD 的护理协调
- 批准号:
10722568 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
BOLSTER: Strengthening Patient and Caregiver Supports in Advanced Gynecologic and Gastrointestinal Cancers - a Multi-Site Randomized Controlled Trial
BOLSTER:加强晚期妇科和胃肠道癌症患者和护理人员的支持 - 一项多中心随机对照试验
- 批准号:
10583119 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Collaborative Research: Forest fragmentation and climate change result in understory warming that adversely affects tropical avian biodiversity at the BDFFP.
合作研究:森林破碎化和气候变化导致林下变暖,对 BDFFP 的热带鸟类生物多样性产生不利影响。
- 批准号:
2311047 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Standard Grant
Novel printing system based on the dynamics of liquid fragmentation and its impact on surfaces
基于液体碎片动力学及其对表面影响的新型打印系统
- 批准号:
2859497 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Studentship
Microstructurally Informed Modelling of Metal Fragmentation
金属碎片的微观结构建模
- 批准号:
2904905 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Studentship
Generation mechanism of large-scale phreatomagmatic eruptions investigated from magma fragmentation depth
从岩浆碎裂深度探讨大规模岩浆喷发的生成机制
- 批准号:
23KJ0231 - 财政年份:2023
- 资助金额:
$ 10.66万 - 项目类别:
Grant-in-Aid for JSPS Fellows