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
Cutoff in the Bernoulli-Laplace urn model with swaps of order n 具有 n 阶交换的伯努利-拉普拉斯瓮模型中的截止点
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2024-01-01 DOI: 10.1214/23-ecp569
Joseph S. Alameda, Caroline Bang, Zachary Brennan, David P. Herzog, Jurgen Kritschgau, Elizabeth Sprangel
{"title":"Cutoff in the Bernoulli-Laplace urn model with swaps of order n","authors":"Joseph S. Alameda, Caroline Bang, Zachary Brennan, David P. Herzog, Jurgen Kritschgau, Elizabeth Sprangel","doi":"10.1214/23-ecp569","DOIUrl":"https://doi.org/10.1214/23-ecp569","url":null,"abstract":"","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"75 23","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139458360","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
On the size of earthworm’s trail 蚯蚓的足迹大小
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp556
Krzysztof Burdzy, Shi Feng, Daisuke Shiraishi
{"title":"On the size of earthworm’s trail","authors":"Krzysztof Burdzy, Shi Feng, Daisuke Shiraishi","doi":"10.1214/23-ecp556","DOIUrl":"https://doi.org/10.1214/23-ecp556","url":null,"abstract":"We investigate the number of holes created by an “earthworm” moving on the two-dimensional integer lattice. The earthworm is modeled by a simple random walk. At the initial time, all vertices are filled with grains of soil except for the position of the earthworm. At each step, the earthworm pushes the soil in the direction of its motion. It leaves a hole (an empty vertex with no grain of soil) behind it. If there are holes in front of the earthworm (in the direction of its step), the closest hole is filled with a grain of soil. Thus the number of holes increases by 1 or remains unchanged at every step. We show that the number of holes is at least O(n3∕4)after n steps.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704384","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
Small ball probabilities and large deviations for grey Brownian motion 灰色布朗运动的小球概率和大偏差
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp555
Stefan Gerhold
{"title":"Small ball probabilities and large deviations for grey Brownian motion","authors":"Stefan Gerhold","doi":"10.1214/23-ecp555","DOIUrl":"https://doi.org/10.1214/23-ecp555","url":null,"abstract":"We show that the uniform norm of generalized grey Brownian motion over the unit interval has an analytic density, excluding the special case of fractional Brownian motion. Our main result is an asymptotic expansion for the small ball probability of generalized grey Brownian motion, which extends to other norms on path space. The decay rate is not exponential but polynomial, of degree two. For the uniform norm and the Hölder norm, we also prove a large deviations estimate.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704906","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
Transience of simple random walks with linear entropy growth 具有线性熵增长的简单随机漫步的暂态性
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp532
B. Morris, Hamilton Samraj Santhakumar
{"title":"Transience of simple random walks with linear entropy growth","authors":"B. Morris, Hamilton Samraj Santhakumar","doi":"10.1214/23-ecp532","DOIUrl":"https://doi.org/10.1214/23-ecp532","url":null,"abstract":"Using the technique of evolving sets, we explore the connection between entropy growth and transience for simple random walks on connected infinite graphs with bounded degree. In particular we show that for a simple random walk starting at a vertex $x_0$, if the entropy after $n$ steps, $E_n$ is at least $Cn$ where the $C$ is independent of $x_0$, then the random walk is transient. We also give an example which demonstrates that the condition of $C$ being independent of $x_0$ is necessary.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48022816","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
A central limit theorem for some generalized martingale arrays 一类广义鞅数组的中心极限定理
IF 0.5 4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp534
L. Pratelli, P. Rigo
{"title":"A central limit theorem for some generalized martingale arrays","authors":"L. Pratelli, P. Rigo","doi":"10.1214/23-ecp534","DOIUrl":"https://doi.org/10.1214/23-ecp534","url":null,"abstract":"","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44536096","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
Maximum gaps in one-dimensional hard-core models 一维硬核模型的最大间隙
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp552
Dingding Dong, Nitya Mani
{"title":"Maximum gaps in one-dimensional hard-core models","authors":"Dingding Dong, Nitya Mani","doi":"10.1214/23-ecp552","DOIUrl":"https://doi.org/10.1214/23-ecp552","url":null,"abstract":"We study the distribution of the maximum gap size in one-dimensional hard-core models. First, we sequentially pack rods of length 2 into an interval of length L at random, subject to the hard-core constraint that rods do not overlap. We find that in a saturated packing, with high probability there is no gap of size 2−o(L−1) between adjacent rods, but there are gaps of size at least 2−Lε−1 for all ε>0. We subsequently study a dependent thinning-based variant of the hard-core process, the one-dimensional “ghost” hard-core model. In this model, we sequentially pack rods of length 2 into an interval of length L at random, such that placed rods neither overlap with previously placed rods nor previously considered candidate rods. We find that in the infinite time limit, with high probability the maximum gap between adjacent rods is smaller than logL but at least (logL)1−ε for all ε>0.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"295 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135448459","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
A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate 中间分支数严格小于下中间增长率的一种子周期树
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp544
Pengfei Tang
{"title":"A subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate","authors":"Pengfei Tang","doi":"10.1214/23-ecp544","DOIUrl":"https://doi.org/10.1214/23-ecp544","url":null,"abstract":"We construct an example of a subperiodic tree whose intermediate branching number is strictly less than the lower intermediate growth rate. This answers a question of Amir and Yang (2022) in the negative.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136003494","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
Hölder continuity of the convex minorant of a Lévy process Hölder lsamvy过程的凸小调的连续性
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp549
Jorge González Cázares, David Kramer-Bang, Aleksandar Mijatović
{"title":"Hölder continuity of the convex minorant of a Lévy process","authors":"Jorge González Cázares, David Kramer-Bang, Aleksandar Mijatović","doi":"10.1214/23-ecp549","DOIUrl":"https://doi.org/10.1214/23-ecp549","url":null,"abstract":"We characterise the Hölder continuity of the convex minorant of most Lévy processes. The proof is based on a novel connection between the path properties of the Lévy process at zero and the boundedness of the set of r-slopes of the convex minorant.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135213384","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 convergence of volume of level sets of stationary smooth Gaussian fields 平稳光滑高斯场水平集体积的收敛性
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp543
Dmitry Beliaev, Akshay Hegde
{"title":"On convergence of volume of level sets of stationary smooth Gaussian fields","authors":"Dmitry Beliaev, Akshay Hegde","doi":"10.1214/23-ecp543","DOIUrl":"https://doi.org/10.1214/23-ecp543","url":null,"abstract":"We prove convergence of Hausdorff measure of level sets of smooth Gaussian fields when the levels converge. Given two coupled stationary fields $f_1, f_2$ , we estimate the difference of Hausdorff measure of level sets in expectation, in terms of $C^2$-fluctuations of the field $F=f_1-f_2$. The main idea in the proof is to represent difference in volume as an integral of mean curvature using the divergence theorem. This approach is different from using Kac-Rice type formula as main tool in the analysis.","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135213966","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
Intrinsic ultracontractivity and uniform convergence to the Q-process for symmetric Markov processes 对称马尔可夫过程的q过程的内禀超收缩性和一致收敛性
4区 数学
Electronic Communications in Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ecp550
Hanjun Zhang, Huasheng Li, Saixia Liao
{"title":"Intrinsic ultracontractivity and uniform convergence to the Q-process for symmetric Markov processes","authors":"Hanjun Zhang, Huasheng Li, Saixia Liao","doi":"10.1214/23-ecp550","DOIUrl":"https://doi.org/10.1214/23-ecp550","url":null,"abstract":"","PeriodicalId":50543,"journal":{"name":"Electronic Communications in Probability","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135310698","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
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