发布求助
文献互助 智能选刊 最新文献

Electronic Communications in Probability最新文献

筛选
英文 中文
A remainder estimate for branched rough differential equations 分枝粗糙微分方程的剩余估计
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-09-22 DOI: 10.1214/22-ECP473
Danyu Yang
{"title":"A remainder estimate for branched rough differential equations","authors":"Danyu Yang","doi":"10.1214/22-ECP473","DOIUrl":"https://doi.org/10.1214/22-ECP473","url":null,"abstract":"Based on two isomorphisms of Hopf algebras, we provide a bound in the optimal order on the remainder of the truncated Taylor expansion for controlled differential equations driven by branched rough paths.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43070543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the rate of escape or approach to the origin of a random string 关于随机字符串的逃逸率或接近原点的速率
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-09-21 DOI: 10.1214/22-ecp451
P. Lam
{"title":"On the rate of escape or approach to the origin of a random string","authors":"P. Lam","doi":"10.1214/22-ecp451","DOIUrl":"https://doi.org/10.1214/22-ecp451","url":null,"abstract":". In this paper, we extend upon a result by Mueller and Tribe regarding Funaki’s model of a random string. Specifically, we examine the rate of escape of this model in dimensions d ≥ 7 . We also provide a bound for the rate of approach to the origin in dimension d = 6 .","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48886709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a rank-one perturbation of a Hermitian matrix 厄米矩阵的一阶微扰动力学
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-08-31 DOI: 10.1214/23-ECP516
Guillaume Dubach, L'aszl'o ErdHos
{"title":"Dynamics of a rank-one perturbation of a Hermitian matrix","authors":"Guillaume Dubach, L'aszl'o ErdHos","doi":"10.1214/23-ECP516","DOIUrl":"https://doi.org/10.1214/23-ECP516","url":null,"abstract":"We study the eigenvalue trajectories of a time dependent matrix $ G_t = H+i t vv^*$ for $t geq 0$, where $H$ is an $N times N$ Hermitian random matrix and $v$ is a unit vector. In particular, we establish that with high probability, an outlier can be distinguished at all times $t>1+N^{-1/3+epsilon}$, for any $epsilon>0$. The study of this natural process combines elements of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic instability of (even weakly) non-Hermitian matrices.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47386029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
The wired arboreal gas on regular trees 普通树木上的有线树上气体
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-08-09 DOI: 10.1214/22-ecp460
P. Easo
{"title":"The wired arboreal gas on regular trees","authors":"P. Easo","doi":"10.1214/22-ecp460","DOIUrl":"https://doi.org/10.1214/22-ecp460","url":null,"abstract":"We study the weak limit of the arboreal gas along any exhaustion of a regular tree with wired boundary conditions. We prove that this limit exists, does not depend on the choice of exhaustion, and undergoes a phase transition. Below and at criticality, we prove the model is equivalent to bond percolation. Above criticality, we characterise the model as the superposition of critical bond percolation and a random collection of infinite one-ended paths. This provides a simple example of an arboreal gas model that continues to exhibit critical-like behaviour throughout its supercritical phase.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46601236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
No cutoff in Spherically symmetric trees 在球对称树中没有截断
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-07-29 DOI: 10.1214/22-ecp468
Rafael Chiclana, Y. Peres
{"title":"No cutoff in Spherically symmetric trees","authors":"Rafael Chiclana, Y. Peres","doi":"10.1214/22-ecp468","DOIUrl":"https://doi.org/10.1214/22-ecp468","url":null,"abstract":". We show that for lazy simple random walks on finite spherically symmetric trees, the ratio of the mixing time and the relaxation time is bounded by a universal constant. Consequently, lazy simple random walks on any sequence of finite spherically symmetric trees do not exhibit pre-cutoff; this conclusion also holds for continuous-time simple random walks. This answers a question recently proposed by Gantert, Nestoridi, and Schmid. We also show that for lazy simple random walks on finite spherically symmetric trees, hitting times of vertices are (uniformly) non concentrated. Finally, we study the stability of our results under rough isometries.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46378146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses Foata-Fuchs对Cayley公式的证明，以及它的概率应用
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-07-20 DOI: 10.1214/23-ecp523
L. Addario-Berry, Serte Donderwinkel, M. Maazoun, James Martin
{"title":"The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses","authors":"L. Addario-Berry, Serte Donderwinkel, M. Maazoun, James Martin","doi":"10.1214/23-ecp523","DOIUrl":"https://doi.org/10.1214/23-ecp523","url":null,"abstract":"We present a very simple bijective proof of Cayley's formula due to Foata and Fuchs (1970). This bijection turns out to be very useful when seen through a probabilistic lens; we explain some of the ways in which it can be used to derive probabilistic identities, bounds, and growth procedures for random trees with given degrees, including random d-ary trees. We also introduce a partial order on the degree sequences of rooted trees, and conjecture that it induces a stochastic partial order on heights of random rooted trees with given degrees.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45734860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii-type 具有nemytskii型系数的McKean-Vlasov SDEs的强解
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-07-15 DOI: 10.1214/23-ECP519
Sebastian Grube
{"title":"Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii-type","authors":"Sebastian Grube","doi":"10.1214/23-ECP519","DOIUrl":"https://doi.org/10.1214/23-ECP519","url":null,"abstract":"We study a large class of McKean-Vlasov SDEs with drift and diffusion coefficient depending on the density of the solution's time marginal laws in a Nemytskii-type of way. A McKean-Vlasov SDE of this kind arises from the study of the associated nonlinear FPKE, for which is known that there exists a bounded Sobolev-regular Schwartz-distributional solution u. Via the superposition principle, it is already known that there exists a weak solution to the McKean-Vlasov SDE with time marginal densities u. We show that there exists a strong solution the McKean-Vlasov SDE, which is unique among weak solutions with time marginal densities u. The main tool is a restricted Yamada-Watanabe theorem for SDEs, which is obtained by an observation in the proof of the classic Yamada-Watanabe theorem.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44248303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The compact interface property for the stochastic heat equation with seed bank 具有种子库的随机热方程的紧致界面性质
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-07-14 DOI: 10.1214/22-ecp465
F. Nie
{"title":"The compact interface property for the stochastic heat equation with seed bank","authors":"F. Nie","doi":"10.1214/22-ecp465","DOIUrl":"https://doi.org/10.1214/22-ecp465","url":null,"abstract":"We investigate the compact interface property in a recently introduced variant of the stochastic heat equation that incorporates dormancy, or equivalently seed banks. There individuals can enter a dormant state during which they are no longer subject to spatial dispersal and genetic drift. This models a state of low metabolic activity as found in microbial species. Mathematically, one obtains a memory effect since mass accumulated by the active population will be retained for all times in the seed bank. This raises the question whether the introduction of a seed bank into the system leads to a qualitatively different behaviour of a possible interface. Here, we aim to show that nevertheless in the stochastic heat equation with seed bank compact interfaces are retained through all times in both the active and dormant population. We use duality and a comparison argument with partial functional differential equations to tackle technical difficulties that emerge due to the lack of the martingale property of our solutions which was crucial in the classical non seed bank case.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48898801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Large deviations for the right-most position of a last progeny modified branching random walk 最后一个子代修正分支随机漫步的最右位置的大偏差
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-06-15 DOI: 10.1214/22-ECP446
P. P. Ghosh
{"title":"Large deviations for the right-most position of a last progeny modified branching random walk","authors":"P. P. Ghosh","doi":"10.1214/22-ECP446","DOIUrl":"https://doi.org/10.1214/22-ECP446","url":null,"abstract":"In this work, we consider a modification of the usual Branching Random Walk (BRW) , where we give certain independent and identically distributed (i.i.d.) displacements to all the particles at the n -th generation, which may be different from the driving increment distribution. This model was first introduced by Bandyopadhyay and Ghosh [2] and they termed it as Last Progeny Modified Branching Random Walk (LPM-BRW) . Under very minimal assumptions, we derive the large deviation principle (LDP) for the right-most position of a particle in generation n . As a byproduct, we also complete the LDP for the classical model, which complements the earlier work by Gantert and Höfelsauer [7].","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47696178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
When the geodesic becomes rigid in the directed landscape 当测地线在有向景观中变为刚性时
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2021-06-13 DOI: 10.1214/22-ecp484
Zhipeng Liu
{"title":"When the geodesic becomes rigid in the directed landscape","authors":"Zhipeng Liu","doi":"10.1214/22-ecp484","DOIUrl":"https://doi.org/10.1214/22-ecp484","url":null,"abstract":"When the value L of the directed landscape at a point ( p ; q ) is sufficiently large, the geodesic from p to q is rigid and its location fluctuates of order L − 1 / 4 around its expectation. We further show that at a midpoint of the geodesic, the location of the geodesic and the value of the directed landscape after appropriate scaling converge to two independent Gaussians.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49464319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信