{"title":"Civil War Obscura: Barracoon: The Story of the Last “Black Cargo\"","authors":"Meg Groeling","doi":"10.31390/cwbr.21.4.03","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.03","url":null,"abstract":"","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42122324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We show that for a suitable class of functions of finitely-many variables, the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions.
{"title":"Limiting Means for Spherical Slices","authors":"Amy Peterson, A. Sengupta","doi":"10.31390/cosa.12.3.04","DOIUrl":"https://doi.org/10.31390/cosa.12.3.04","url":null,"abstract":"We show that for a suitable class of functions of finitely-many variables, the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions.","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43420488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Confederate Statues and Memorialization","authors":"G. Foster","doi":"10.31390/cwbr.21.4.07","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.07","url":null,"abstract":"","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45315948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, we study the existence of weak solutions to the one-dimensional generalized stochastic Burgers’ equation with polynomial nonlinearity perturbed by space-time white noise with Dirichlet boundary conditions and α-Hölder continuous coefficient in noise term, where α ∈ [1/2, 1). The existence of weak solutions is shown by solving an equivalent martingale problem.
{"title":"Generalized Stochastic Burgers' Equation with Non-Lipschitz Diffusion Coefficient","authors":"Vivek Kumar, Ankik Kumar Giri","doi":"10.31390/COSA.12.3.06","DOIUrl":"https://doi.org/10.31390/COSA.12.3.06","url":null,"abstract":"In this article, we study the existence of weak solutions to the one-dimensional generalized stochastic Burgers’ equation with polynomial nonlinearity perturbed by space-time white noise with Dirichlet boundary conditions and α-Hölder continuous coefficient in noise term, where α ∈ [1/2, 1). The existence of weak solutions is shown by solving an equivalent martingale problem.","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47034790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approaching Civil War and Southern History","authors":"Jessica Cannon","doi":"10.31390/cwbr.21.4.14","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.14","url":null,"abstract":"","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49658760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We derive a normally ordered disentanglement or splitting formula for exponentials of the infinite-dimensional Schrödinger Lie algebra generators. As an application we compute the vacuum characteristic function of a quantum random variable defined as a self-adjoint finite sum of Fock space operators, satisfying the multi-dimensional Schrödinger Lie algebra commutation relations.
{"title":"Normally Ordered Disentanglement of Multi-Dimensional Schrödinger Algebra Exponentials","authors":"L. Accardi, A. Boukas","doi":"10.31390/COSA.12.3.05","DOIUrl":"https://doi.org/10.31390/COSA.12.3.05","url":null,"abstract":"We derive a normally ordered disentanglement or splitting formula for exponentials of the infinite-dimensional Schrödinger Lie algebra generators. As an application we compute the vacuum characteristic function of a quantum random variable defined as a self-adjoint finite sum of Fock space operators, satisfying the multi-dimensional Schrödinger Lie algebra commutation relations.","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45914548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Single, White, Slaveholding Women in the Nineteenth-Century American South","authors":"A. Boswell","doi":"10.31390/cwbr.21.4.21","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.21","url":null,"abstract":"","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41893716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chielsea Joice Cenal, Neurobiology, Physiology and Behavior Annual Biomedical Research Conference for Minority Students Kaitlynn Gov, Cell Biology American Society of Cell Biology Wai Lone Jonathan Ho, Biochemistry and Molecular Biology National Collegiate Research Conference Haley Hudson, Evolution, Ecology and Biodiversity Western Society of Naturalists Dorian Kariuki, Neurobiology, Physiology and Behavior Annual Biomedical Research Conference for Minority Students Matangi Kumar, Genetics and Genomics American Association for the Advancement of Science Jenna Quan, Evolution, Ecology and Biodiversity Western Society of Naturalists
少数民族学生神经生物学、生理学和行为年度生物医学研究会议美国细胞生物学学会Wai Lone Jonathan Ho生物化学和分子生物学全国大学生研究会议Haley Hudson进化、生态学和生物多样性西方博物学家学会Dorian Kariuki少数民族学生神经生物学、生理学和行为年度生物医学研究会议Matangi Kumar詹娜·泉，进化、生态和生物多样性西方自然学家学会
{"title":"Fall 2019","authors":"Tom Barber","doi":"10.31390/cwbr.21.4.01","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.01","url":null,"abstract":"Chielsea Joice Cenal, Neurobiology, Physiology and Behavior Annual Biomedical Research Conference for Minority Students Kaitlynn Gov, Cell Biology American Society of Cell Biology Wai Lone Jonathan Ho, Biochemistry and Molecular Biology National Collegiate Research Conference Haley Hudson, Evolution, Ecology and Biodiversity Western Society of Naturalists Dorian Kariuki, Neurobiology, Physiology and Behavior Annual Biomedical Research Conference for Minority Students Matangi Kumar, Genetics and Genomics American Association for the Advancement of Science Jenna Quan, Evolution, Ecology and Biodiversity Western Society of Naturalists","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42192876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bluecoat and Pioneer: The Recollections of John Benton Hart, 1864-1868","authors":"George C. Rable","doi":"10.31390/cwbr.21.4.17","DOIUrl":"https://doi.org/10.31390/cwbr.21.4.17","url":null,"abstract":"","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48330070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We define a directional Malliavin derivative connected to a continuous linear operator. We show that this directional Malliavin derivative being zero is equivalent to some measurability or independence condition on the random variable. Using this, we obtain that two random variables, whose classical Malliavin derivatives live in orthogonal subspaces, are independent. We also extend the chain rule to directional Malliavin derivatives and a broader class of functions with weaker regularity assumptions.
{"title":"Directional Malliavin Derivatives: A Characterisation of Independence and a Generalised Chain Rule","authors":"Stefan Koch","doi":"10.31390/COSA.12.2.03","DOIUrl":"https://doi.org/10.31390/COSA.12.2.03","url":null,"abstract":"We define a directional Malliavin derivative connected to a continuous linear operator. We show that this directional Malliavin derivative being zero is equivalent to some measurability or independence condition on the random variable. Using this, we obtain that two random variables, whose classical Malliavin derivatives live in orthogonal subspaces, are independent. We also extend the chain rule to directional Malliavin derivatives and a broader class of functions with weaker regularity assumptions.","PeriodicalId":53434,"journal":{"name":"Communications on Stochastic Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42671514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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