{"title":"Fractional powers of the Schrödinger operator on weigthed Lipschitz spaces","authors":"B. Bongioanni, E. Harboure, P. Quijano","doi":"10.1007/s13163-021-00393-z","DOIUrl":"https://doi.org/10.1007/s13163-021-00393-z","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-021-00393-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52711768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On p-parabolicity of Riemannian manifolds and graphs","authors":"Á. Martínez-Pérez, José M. Rodríguez","doi":"10.1007/s13163-021-00387-x","DOIUrl":"https://doi.org/10.1007/s13163-021-00387-x","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-021-00387-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47976822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Normalized ground states for the critical fractional NLS equation with a perturbation","authors":"Maoding Zhen, Binlin Zhang","doi":"10.1007/s13163-021-00388-w","DOIUrl":"https://doi.org/10.1007/s13163-021-00388-w","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-021-00388-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45765496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Comparison of Poisson structures on moduli spaces","authors":"I. Biswas, F. Bottacin, T. G'omez","doi":"10.1007/s13163-021-00418-7","DOIUrl":"https://doi.org/10.1007/s13163-021-00418-7","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45212594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Kirby diagrams and 5-colored graphs representing compact 4-manifolds","authors":"M. R. Casali, P. Cristofori","doi":"10.1007/s13163-022-00438-x","DOIUrl":"https://doi.org/10.1007/s13163-022-00438-x","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44372976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological groups with invariant linear spans","authors":"Eva Pernecká, Jan Spěvák","doi":"10.1007/s13163-020-00383-7","DOIUrl":"https://doi.org/10.1007/s13163-020-00383-7","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-020-00383-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52711744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The group generated by Riordan involutions","authors":"A. Luzón, M. A. Morón, L. F. Prieto-Martínez","doi":"10.1007/s13163-020-00382-8","DOIUrl":"https://doi.org/10.1007/s13163-020-00382-8","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-020-00382-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52711718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Alexander invariants of trigonal curves","authors":"M. Üçer","doi":"10.1007/s13163-020-00381-9","DOIUrl":"https://doi.org/10.1007/s13163-020-00381-9","url":null,"abstract":"","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-020-00381-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52711686","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some asymptotic properties of kernel regression estimators of the mode for stationary and ergodic continuous time processes.","authors":"Salim Bouzebda, Sultana Didi","doi":"10.1007/s13163-020-00368-6","DOIUrl":"https://doi.org/10.1007/s13163-020-00368-6","url":null,"abstract":"<p><p>In the present paper, we consider the nonparametric regression model with random design based on <math> <msub><mrow><mo>(</mo> <msub><mi>X</mi> <mi>t</mi></msub> <mo>,</mo> <msub><mi>Y</mi> <mi>t</mi></msub> <mo>)</mo></mrow> <mrow><mi>t</mi> <mo>≥</mo> <mn>0</mn></mrow> </msub> </math> a <math> <mrow> <msup><mrow><mi>R</mi></mrow> <mi>d</mi></msup> <mo>×</mo> <msup><mrow><mi>R</mi></mrow> <mi>q</mi></msup> </mrow> </math> -valued strictly stationary and ergodic continuous time process, where the regression function is given by <math><mrow><mi>m</mi> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>ψ</mi> <mo>)</mo> <mo>=</mo> <mi>E</mi> <mo>(</mo> <mi>ψ</mi> <mo>(</mo> <mi>Y</mi> <mo>)</mo> <mo>∣</mo> <mi>X</mi> <mo>=</mo> <mi>x</mi> <mo>)</mo> <mo>)</mo></mrow> </math> , for a measurable function <math><mrow><mi>ψ</mi> <mo>:</mo> <msup><mrow><mi>R</mi></mrow> <mi>q</mi></msup> <mo>→</mo> <mi>R</mi></mrow> </math> . We focus on the estimation of the location <math><mrow><mi>Θ</mi></mrow> </math> (mode) of a unique maximum of <math><mrow><mi>m</mi> <mo>(</mo> <mo>·</mo> <mo>,</mo> <mi>ψ</mi> <mo>)</mo></mrow> </math> by the location <math> <msub> <mover><mrow><mi>Θ</mi></mrow> <mo>^</mo></mover> <mi>T</mi></msub> </math> of a maximum of the Nadaraya-Watson kernel estimator <math> <mrow> <msub><mover><mi>m</mi> <mo>^</mo></mover> <mi>T</mi></msub> <mrow><mo>(</mo> <mo>·</mo> <mo>,</mo> <mi>ψ</mi> <mo>)</mo></mrow> </mrow> </math> for the curve <math><mrow><mi>m</mi> <mo>(</mo> <mo>·</mo> <mo>,</mo> <mi>ψ</mi> <mo>)</mo></mrow> </math> . Within this context, we obtain the consistency with rate and the asymptotic normality results for <math> <msub> <mover><mrow><mi>Θ</mi></mrow> <mo>^</mo></mover> <mi>T</mi></msub> </math> under mild local smoothness assumptions on <math><mrow><mi>m</mi> <mo>(</mo> <mo>·</mo> <mo>,</mo> <mi>ψ</mi> <mo>)</mo></mrow> </math> and the design density <math><mrow><mi>f</mi> <mo>(</mo> <mo>·</mo> <mo>)</mo></mrow> </math> of <math><mi>X</mi></math> . Beyond ergodicity, any other assumption is imposed on the data. This paper extends the scope of some previous results established under the mixing condition. The usefulness of our results will be illustrated in the construction of confidence regions.</p>","PeriodicalId":49605,"journal":{"name":"Revista Matematica Complutense","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13163-020-00368-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38297099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}