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Stochastic averaging principle for McKean-Vlasov SDEs driven by Levy noise Levy噪声驱动下McKean-Vlasov SDEs的随机平均原理
4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-09-15 DOI: 10.1142/s021902572350025x
Tingting Zhang, Guangjun Shen, Xiuwei Yin
{"title":"Stochastic averaging principle for McKean-Vlasov SDEs driven by Levy noise","authors":"Tingting Zhang, Guangjun Shen, Xiuwei Yin","doi":"10.1142/s021902572350025x","DOIUrl":"https://doi.org/10.1142/s021902572350025x","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437970","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
Causal perturbative QFT and white noise 因果摄动QFT和白噪声
4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-09-06 DOI: 10.1142/s0219025723500121
Jaroslaw Wawrzycki
{"title":"Causal perturbative QFT and white noise","authors":"Jaroslaw Wawrzycki","doi":"10.1142/s0219025723500121","DOIUrl":"https://doi.org/10.1142/s0219025723500121","url":null,"abstract":"In this paper, we present the Bogoliubov’s causal perturbative QFT, which includes only one refinement: the creation-annihilation operators at a point, i.e. for a specific momentum, are mathematically interpreted as the Hida operators from the white noise analysis. We leave the rest of the theory completely unchanged. This allows avoiding infrared — and ultraviolet — divergences in the transition to the adiabatic limit for interacting fields. We present here the analysis of the causal axioms for the scattering operator with the Hida operators as the creation-annihilation operators.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135098880","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 matrix-valued gabor frames over locally compact abelian groups 局部紧阿贝尔群上的矩阵值gabor框架
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-08-18 DOI: 10.1142/s0219025723500236
U. Sinha, L. K. Vashisht, P. Das
{"title":"On matrix-valued gabor frames over locally compact abelian groups","authors":"U. Sinha, L. K. Vashisht, P. Das","doi":"10.1142/s0219025723500236","DOIUrl":"https://doi.org/10.1142/s0219025723500236","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78832894","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
Operator-Valued Gaussian Processes and Their Covariance Kernels 算子值高斯过程及其协方差核
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-07-28 DOI: 10.1142/s0219025723500200
P. Jorgensen, James Tian
{"title":"Operator-Valued Gaussian Processes and Their Covariance Kernels","authors":"P. Jorgensen, James Tian","doi":"10.1142/s0219025723500200","DOIUrl":"https://doi.org/10.1142/s0219025723500200","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73340185","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
Factoriality of Mixed q-Deformed Araki-Woods von Neumann Algebras 混合q-变形Araki-Woods von Neumann代数的因式性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-07-28 DOI: 10.1142/s0219025723500194
Panchugopal Bikram, R. Rahul Kumar, Kunal Mukherjee
{"title":"Factoriality of Mixed q-Deformed Araki-Woods von Neumann Algebras","authors":"Panchugopal Bikram, R. Rahul Kumar, Kunal Mukherjee","doi":"10.1142/s0219025723500194","DOIUrl":"https://doi.org/10.1142/s0219025723500194","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76593930","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
Exponential Convergence in the Trace Norm and Time-Inhomogeneous Markovian Evolutions on ℬ(ℋ) 迹范数与时间非齐次马尔可夫演化的指数收敛性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-07-28 DOI: 10.1142/s0219025723500169
Zhengxia Li
{"title":"Exponential Convergence in the Trace Norm and Time-Inhomogeneous Markovian Evolutions on ℬ(ℋ)","authors":"Zhengxia Li","doi":"10.1142/s0219025723500169","DOIUrl":"https://doi.org/10.1142/s0219025723500169","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78780101","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
Recurrence and Transience of Quantum Markov Semigroups Constructed form Quantum Bernoulli Noises 由量子伯努利噪声构造的量子马尔可夫半群的递归性和暂态性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-06-09 DOI: 10.1142/s021902572350011x
Jinshu Chen, Shexiang Hai
{"title":"Recurrence and Transience of Quantum Markov Semigroups Constructed form Quantum Bernoulli Noises","authors":"Jinshu Chen, Shexiang Hai","doi":"10.1142/s021902572350011x","DOIUrl":"https://doi.org/10.1142/s021902572350011x","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85489034","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
New class of Gibbs measures for two state Hard-Core model on a Cayley tree Cayley树上两态Hard-Core模型的一类新的Gibbs测度
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-06-06 DOI: 10.1142/s0219025723500248
R. Khakimov, M. T. Makhammadaliev, F. Haydarov
{"title":"New class of Gibbs measures for two state Hard-Core model on a Cayley tree","authors":"R. Khakimov, M. T. Makhammadaliev, F. Haydarov","doi":"10.1142/s0219025723500248","DOIUrl":"https://doi.org/10.1142/s0219025723500248","url":null,"abstract":"In this paper, we consider a Hard-Core $(HC)$ model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance conditions for alternative Gibbs measures are found. Also, we show that the existence of alternative Gibbs measures which are not translation-invariant. In addition, we study free energy of the model.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73433467","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
Effects of permutation functions on woven and non-woven frames 排列功能对机织和非织造机架的影响
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-04-21 DOI: 10.1142/s021902572350008x
A. Ahmadi, Abbas Askarizadeh
{"title":"Effects of permutation functions on woven and non-woven frames","authors":"A. Ahmadi, Abbas Askarizadeh","doi":"10.1142/s021902572350008x","DOIUrl":"https://doi.org/10.1142/s021902572350008x","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81504051","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
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices 半正定矩阵上某些Hilbert-Schmidt保真度诱导的度量
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2023-04-21 DOI: 10.1142/s0219025723500078
Ho Minh Toan, Vu The Khoi
{"title":"Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices","authors":"Ho Minh Toan, Vu The Khoi","doi":"10.1142/s0219025723500078","DOIUrl":"https://doi.org/10.1142/s0219025723500078","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83493311","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
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