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The random walk on upper triangular matrices over $$mathbb {Z}/m mathbb {Z}$$ 上三角矩阵上的随机游走 $$mathbb {Z}/m mathbb {Z}$$
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-27 DOI: 10.1007/s00440-023-01228-2
Evita Nestoridi, Allan Sly
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引用次数: 1
Stationary local random countable sets over the Wiener noise 维纳噪声上的平稳局部随机可数集
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-26 DOI: 10.1007/s00440-023-01227-3
Matija Vidmar, Jon Warren
{"title":"Stationary local random countable sets over the Wiener noise","authors":"Matija Vidmar, Jon Warren","doi":"10.1007/s00440-023-01227-3","DOIUrl":"https://doi.org/10.1007/s00440-023-01227-3","url":null,"abstract":"Abstract The times of Brownian local minima, maxima and their union are three distinct examples of local, stationary, dense, random countable sets associated with classical Wiener noise. Being local means, roughly, determined by the local behavior of the sample paths of the Brownian motion, and stationary means invariant relative to the Lévy shifts of the sample paths. We answer to the affirmative Tsirelson’s question, whether or not there are any others, and develop some general theory for such sets. An extra ingredient to their structure, that of an honest indexation, leads to a splitting result that is akin to the Wiener–Hopf factorization of the Brownian motion at the minimum (or maximum) and has the latter as a special case. Sets admitting an honest indexation are moreover shown to have the property that no stopping time belongs to them with positive probability. They are also minimal: they do not have any non-empty proper local stationary subsets. Random sets, of the kind studied in this paper, honestly indexed or otherwise, give rise to nonclassical one-dimensional noises, generalizing the noise of splitting. Some properties of these noises and the inter-relations between them are investigated. In particular, subsets are connected to subnoises.","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134960043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Local law and rigidity for unitary Brownian motion 酉布朗运动的局部律和刚性
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-25 DOI: 10.1007/s00440-023-01230-8
Arka Adhikari, Benjamin Landon
{"title":"Local law and rigidity for unitary Brownian motion","authors":"Arka Adhikari, Benjamin Landon","doi":"10.1007/s00440-023-01230-8","DOIUrl":"https://doi.org/10.1007/s00440-023-01230-8","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135768572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Long lines in subsets of large measure in high dimension 高维大度量子集中的长线
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-22 DOI: 10.1007/s00440-023-01231-7
Dor Elboim, Bo’az Klartag
{"title":"Long lines in subsets of large measure in high dimension","authors":"Dor Elboim, Bo’az Klartag","doi":"10.1007/s00440-023-01231-7","DOIUrl":"https://doi.org/10.1007/s00440-023-01231-7","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Extremal singular values of random matrix products and Brownian motion on $$textsf {GL} (N,mathbb {C})$$ 随机矩阵积的极值奇异值与上的布朗运动 $$textsf {GL} (N,mathbb {C})$$
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-20 DOI: 10.1007/s00440-023-01217-5
Andrew Ahn
{"title":"Extremal singular values of random matrix products and Brownian motion on $$textsf {GL} (N,mathbb {C})$$","authors":"Andrew Ahn","doi":"10.1007/s00440-023-01217-5","DOIUrl":"https://doi.org/10.1007/s00440-023-01217-5","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136309013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Hamilton–Jacobi scaling limits of Pareto peeling in 2D 二维Pareto剥落的Hamilton-Jacobi尺度极限
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-18 DOI: 10.1007/s00440-023-01234-4
Ahmed Bou-Rabee, Peter S. Morfe
{"title":"Hamilton–Jacobi scaling limits of Pareto peeling in 2D","authors":"Ahmed Bou-Rabee, Peter S. Morfe","doi":"10.1007/s00440-023-01234-4","DOIUrl":"https://doi.org/10.1007/s00440-023-01234-4","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135109520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Upper tail of the spectral radius of sparse Erdös–Rényi graphs 稀疏Erdös-Rényi图谱半径的上尾
1区 数学
Probability Theory and Related Fields Pub Date : 2023-09-15 DOI: 10.1007/s00440-023-01232-6
Anirban Basak
{"title":"Upper tail of the spectral radius of sparse Erdös–Rényi graphs","authors":"Anirban Basak","doi":"10.1007/s00440-023-01232-6","DOIUrl":"https://doi.org/10.1007/s00440-023-01232-6","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135436835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Correction: Sandwiching dense random regular graphs between binomial random graphs 更正:将密集随机正则图夹在二项随机图之间
IF 2 1区 数学
Probability Theory and Related Fields Pub Date : 2023-08-01 DOI: 10.1007/s00440-023-01221-9
Pu Gao, M. Isaev, B. McKay
{"title":"Correction: Sandwiching dense random regular graphs between binomial random graphs","authors":"Pu Gao, M. Isaev, B. McKay","doi":"10.1007/s00440-023-01221-9","DOIUrl":"https://doi.org/10.1007/s00440-023-01221-9","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"187 1","pages":"517 - 517"},"PeriodicalIF":2.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43041172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Correction to: Asymptotic moments of spatial branching processes 修正：空间分支过程的渐近矩
IF 2 1区 数学
Probability Theory and Related Fields Pub Date : 2023-07-21 DOI: 10.1007/s00440-023-01220-w
I. González, E. Horton, A. Kyprianou
{"title":"Correction to: Asymptotic moments of spatial branching processes","authors":"I. González, E. Horton, A. Kyprianou","doi":"10.1007/s00440-023-01220-w","DOIUrl":"https://doi.org/10.1007/s00440-023-01220-w","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"187 1","pages":"505 - 515"},"PeriodicalIF":2.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44513479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Correction to: Quenched large deviation principle for words in a letter sequence 更正：字母序列中单词的淬火大偏差原则
IF 2 1区 数学
Probability Theory and Related Fields Pub Date : 2023-07-03 DOI: 10.1007/s00440-023-01212-w
M. Birkner, A. Greven, F. Hollander
{"title":"Correction to: Quenched large deviation principle for words in a letter sequence","authors":"M. Birkner, A. Greven, F. Hollander","doi":"10.1007/s00440-023-01212-w","DOIUrl":"https://doi.org/10.1007/s00440-023-01212-w","url":null,"abstract":"","PeriodicalId":20527,"journal":{"name":"Probability Theory and Related Fields","volume":"187 1","pages":"523 - 569"},"PeriodicalIF":2.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43978656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
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