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Dimensions involving molecules and fields 涉及分子和场的维度
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-12-01 DOI: 10.1088/978-0-7503-3655-0ch11
Jeffrey H. Williams
{"title":"Dimensions involving molecules and fields","authors":"Jeffrey H. Williams","doi":"10.1088/978-0-7503-3655-0ch11","DOIUrl":"https://doi.org/10.1088/978-0-7503-3655-0ch11","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86952343","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
The equilibrium between matter and energy 物质和能量之间的平衡
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-12-01 DOI: 10.1088/978-0-7503-3655-0ch10
Jeffrey H. Williams
{"title":"The equilibrium between matter and energy","authors":"Jeffrey H. Williams","doi":"10.1088/978-0-7503-3655-0ch10","DOIUrl":"https://doi.org/10.1088/978-0-7503-3655-0ch10","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87346293","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 brief history of dimensional analysis: a holistic approach to physics 量纲分析简史:物理学的整体方法
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-12-01 DOI: 10.1088/978-0-7503-3655-0ch2
Jeffrey H. Williams
{"title":"A brief history of dimensional analysis: a holistic approach to physics","authors":"Jeffrey H. Williams","doi":"10.1088/978-0-7503-3655-0ch2","DOIUrl":"https://doi.org/10.1088/978-0-7503-3655-0ch2","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81860993","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
The great principle of similitude in biology and sport 生物学和体育运动中的相似性原则
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-12-01 DOI: 10.1088/978-0-7503-3655-0ch14
Jeffrey H. Williams
{"title":"The great principle of similitude in biology and sport","authors":"Jeffrey H. Williams","doi":"10.1088/978-0-7503-3655-0ch14","DOIUrl":"https://doi.org/10.1088/978-0-7503-3655-0ch14","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82264724","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
Continuum forces 连续部队
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-12-01 DOI: 10.1088/978-0-7503-3655-0ch8
Jeffrey H. Williams
{"title":"Continuum forces","authors":"Jeffrey H. Williams","doi":"10.1088/978-0-7503-3655-0ch8","DOIUrl":"https://doi.org/10.1088/978-0-7503-3655-0ch8","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83086785","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
Wong-Zakai approximations for quasilinear systems of Ito's type stochastic differential equations driven by fBm with H > 1 2 由H > 12的fBm驱动的Ito型随机微分方程拟线性系统的Wong-Zakai逼近
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-11-09 DOI: 10.1142/s0219025723500224
Ramiro Scorolli
{"title":"Wong-Zakai approximations for quasilinear systems of Ito's type stochastic differential equations driven by fBm with H > 1 2","authors":"Ramiro Scorolli","doi":"10.1142/s0219025723500224","DOIUrl":"https://doi.org/10.1142/s0219025723500224","url":null,"abstract":"In a recent article Lanconelli and Scorolli (2021) extended to the multidimensional case a Wong-Zakai-type approximation for It^o stochastic differential equations proposed by Oksendal and Hu (1996). The aim of the current paper is to extend the latter result to system of stochastic differential equations of It^o type driven by fractional Brownian motion (fBm) like those considered by Hu (2018). The covariance structure of the fBm precludes us from using the same approach as that used by Lanconelli and Scorolli and instead we employ a truncated Cameron-Martin expansion as the approximation for the fBm. We are naturally led to the investigation of a semilinear hyperbolic system of evolution equations in several space variables that we utilize for constructing a solution of the Wong-Zakai approximated systems. We show that the law of each element of the approximating sequence solves in the sense of distribution a Fokker-Planck equation and that the sequence converges to the solution of the Ito^o equation, as the number of terms in the expansion goes to infinite.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89170033","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
Strong uniqueness of finite dimensional Dirichlet operators with singular drifts 奇异漂移有限维Dirichlet算子的强唯一性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-11-06 DOI: 10.1142/s0219025723500091
Haesung Lee
{"title":"Strong uniqueness of finite dimensional Dirichlet operators with singular drifts","authors":"Haesung Lee","doi":"10.1142/s0219025723500091","DOIUrl":"https://doi.org/10.1142/s0219025723500091","url":null,"abstract":"We show the $L^r(mathbb{R}^d, mu)$-uniqueness for any $r in (1, 2]$ and the essential self-adjointness of a Dirichlet operator $Lf = Delta f +langle frac{1}{rho}nabla rho , nabla f rangle$, $f in C_0^{infty}(mathbb{R}^d)$ with $d geq 3$ and $mu=rho dx$. In particular, $nabla rho$ is allowed to be in $L^d_{loc}(mathbb{R}^d, mathbb{R}^d)$ or in $L^{2+varepsilon}_{loc}(mathbb{R}^d, mathbb{R}^d)$ for some $varepsilon>0$, while $rho$ is required to be locally bounded below and above by strictly positive constants. The main tools in this paper are elliptic regularity results for divergence and non-divergence type operators and basic properties of Dirichlet forms and their resolvents.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72529332","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
POSITIVITY OF GIBBS STATES ON DISTANCE-REGULAR GRAPHS 距离正则图上吉布斯态的正性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-11-03 DOI: 10.1142/s0219025722500266
M. Voit
{"title":"POSITIVITY OF GIBBS STATES ON DISTANCE-REGULAR GRAPHS","authors":"M. Voit","doi":"10.1142/s0219025722500266","DOIUrl":"https://doi.org/10.1142/s0219025722500266","url":null,"abstract":"We study criteria which ensure that Gibbs states (often also called generalized vacuum states) on distance-regular graphs are positive. Our main criterion assumes that the graph can be embedded into a growing family of distance-regular graphs. For the proof of the positivity we then use polynomial hypergroup theory and translate this positivity into the problem whether for x ∈ [−1, 1] the function n 7→ xn has a positive integral representation w.r.t. the orthogonal polynomials associated with the graph. We apply our criteria to several examples. For Hamming graphs and the infinite distance-transitive graphs we obtain a complete description of the positive Gibbs states.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89841570","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: 3
Answer to a question by A. Mandarino, T. Linowski and K. Zyczkowski 回答a . Mandarino, T. Linowski和K. Zyczkowski的问题
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-10-14 DOI: 10.1142/s0219025723500054
M. Popa
{"title":"Answer to a question by A. Mandarino, T. Linowski and K. Zyczkowski","authors":"M. Popa","doi":"10.1142/s0219025723500054","DOIUrl":"https://doi.org/10.1142/s0219025723500054","url":null,"abstract":"A recent work by A. Mandarino, T. Linowski and K. .{Z}yczkowski left open the following question. If $ mu_N $ is a certain permutation of entries of a $ N^2 times N^2 $ matrix (\"mixing map\") and $ U_N $ is a $ N^2 times N^2 $ Haar unitary random matrix, then is the family $ U_N, U_N^{mu_N}, ( U_N^2 )^{mu_N}, dots , ( U_N^m)^{mu_N} $ asymptotically free? (here by $A^{ mu}$ we understand the matrix resulted by permuting the entries of $ A $ according to the permutation $ mu $). This paper presents some techniques for approaching such problems. In particular, one easy consequence of the main result is that the question above has an affirmative answer.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85663891","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 characterization of Riesz-dual sequences which are near-Markushevich bases 一类接近markushevich碱基的riesz -对偶序列
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2021-10-08 DOI: 10.1142/s021902572150017x
Ali Reza Neisi, M. Asgari
{"title":"A characterization of Riesz-dual sequences which are near-Markushevich bases","authors":"Ali Reza Neisi, M. Asgari","doi":"10.1142/s021902572150017x","DOIUrl":"https://doi.org/10.1142/s021902572150017x","url":null,"abstract":"The concept of Riesz-duals of a frame is a recently introduced concept with broad implications to frame theory in general, as well as to the special cases of Gabor and wavelet analysis. In this paper, we introduce various alternative Riesz-duals, with a focus on what we call Riesz-duals of type I and II. Next, we provide some characterizations of Riesz-dual sequences in Banach spaces. A basic problem of interest in connection with the study of Riesz-duals in Banach spaces is that of characterizing those Riesz-duals which can essentially be regarded as M-basis. We give some conditions under which an Riesz-dual sequence to be an M-basis for [Formula: see text].","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84912170","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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