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The Duflo–Serganova Functor, Vingt Ans Après Duflo - Serganova Functor，二十年后
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-11-14 DOI: 10.1007/s41745-022-00334-9
Maria Gorelik, Crystal Hoyt, Vera Serganova, Alexander Sherman
{"title":"The Duflo–Serganova Functor, Vingt Ans Après","authors":"Maria Gorelik,&nbsp;Crystal Hoyt,&nbsp;Vera Serganova,&nbsp;Alexander Sherman","doi":"10.1007/s41745-022-00334-9","DOIUrl":"10.1007/s41745-022-00334-9","url":null,"abstract":"<div><p>We review old and new results concerning the <span>(DS)</span> functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author. This paper includes the results and proofs of the original manuscript, as well as a survey of more recent results.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 3","pages":"961 - 1000"},"PeriodicalIF":2.3,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s41745-022-00334-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4881006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Select Topics in Open Quantum Systems 在开放量子系统中选择主题
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-28 DOI: 10.1007/s41745-022-00338-5
Midhun Krishna, Parvinder Solanki, Sai Vinjanampathy
{"title":"Select Topics in Open Quantum Systems","authors":"Midhun Krishna,&nbsp;Parvinder Solanki,&nbsp;Sai Vinjanampathy","doi":"10.1007/s41745-022-00338-5","DOIUrl":"10.1007/s41745-022-00338-5","url":null,"abstract":"<div><p>The design of realistic quantum technologies relies intricately on the understanding of open quantum systems. Such open systems are often studied as an input–output theory, where time is often not explicitly parameterized. Such maps have a rich structure that has been elucidated by several authors over the years. In contrast to this, the master equation approach is a dynamical description where the infinitesimal evolution of the quantum system is studied. These two descriptions are related to each other when the underlying maps are parametrized in time or equivalently when the system dynamics is integrated for finite time. In this overview, we will briefly discuss some established results in this field alongside commenting on some recent results relating to deriving the transient and steady state dynamics of open quantum systems. We discuss structure of CP maps, review canonical forms of <span>(mathcal {A})</span> and <span>(mathcal {B})</span> maps and highlight their relationship to Lindblad equations. We review properties of Liouville superoperators and highlight some stable numerical methods to find steady states. We conclude the overview with a summary of results relating Zeno dynamics and the open systems approach to driven system engineering.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"103 2","pages":"513 - 526"},"PeriodicalIF":2.3,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5580692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Development of Some Selected Stochastic Models of Human Fertility in India: The Untold Stories 印度人类生育的一些随机模型的发展:不为人知的故事
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-26 DOI: 10.1007/s41745-022-00340-x
Ram Chandra Yadava
{"title":"Development of Some Selected Stochastic Models of Human Fertility in India: The Untold Stories","authors":"Ram Chandra Yadava","doi":"10.1007/s41745-022-00340-x","DOIUrl":"10.1007/s41745-022-00340-x","url":null,"abstract":"<div><p>Modeling of any phenomenon requires the knowledge of the subject and the mathematical skill that is required to express the phenomenon in the form of mathematical relationship(s). In the process of model building, the researcher(s) experience several failures and learnings before getting the final model. While large number of final models are developed and published, learnings of model development are seldom documented. Hence, there is a need to bring such articles which could present the learning of model development. Under this premise, the author which has experience of developing stochastic models of human reproduction aims, in this article, to narrate those learnings which he had encountered in the development of large number of models. Since detailed descriptions of those models are already available in publications, the article would skips detail derivations of those models but to provide learnings of the development of the models.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 4","pages":"1111 - 1130"},"PeriodicalIF":2.3,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5023484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Randomness and Uncertainty Are Central in Most Walks of Life 随机性和不确定性在大多数生活中都很重要
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-25 DOI: 10.1007/s41745-022-00345-6
Arni S. R. Srinivasa Rao
{"title":"Randomness and Uncertainty Are Central in Most Walks of Life","authors":"Arni S. R. Srinivasa Rao","doi":"10.1007/s41745-022-00345-6","DOIUrl":"10.1007/s41745-022-00345-6","url":null,"abstract":"","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 4","pages":"1105 - 1106"},"PeriodicalIF":2.3,"publicationDate":"2022-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s41745-022-00345-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4989455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Review of Developments in Superconducting Quantum Processors 超导量子处理器的发展综述
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-17 DOI: 10.1007/s41745-022-00330-z
Arvind Mamgain, Siddhi Satish Khaire, Ujjawal Singhal, Irshad Ahmad, Lipi Arvindbhai Patel, Kunal Dhanraj Helambe, Sourav Majumder, Vibhor Singh, Baladitya Suri
{"title":"A Review of Developments in Superconducting Quantum Processors","authors":"Arvind Mamgain,&nbsp;Siddhi Satish Khaire,&nbsp;Ujjawal Singhal,&nbsp;Irshad Ahmad,&nbsp;Lipi Arvindbhai Patel,&nbsp;Kunal Dhanraj Helambe,&nbsp;Sourav Majumder,&nbsp;Vibhor Singh,&nbsp;Baladitya Suri","doi":"10.1007/s41745-022-00330-z","DOIUrl":"10.1007/s41745-022-00330-z","url":null,"abstract":"<div><p>Superconducting qubits are currently the leading platform for quantum computing and quantum information processing in general. Over the last decade, there have been rapid developments in the performance of small-scale quantum processors based on superconducting qubits, showing promise for a practical quantum processor in the coming years. These developments have taken place in terms of control and measurement techniques, connectivity, qubit architecture, and coherence performance. It has been led by novel design strategies, improvements in materials and fabrication processes, as well as advances in peripheral control electronics. In this article, we present a review of the various superconducting qubit devices, their coupling schemes, performance, and developments on the materials front.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"103 2","pages":"633 - 669"},"PeriodicalIF":2.3,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4703812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Decade of Advancement of Quantum Sensing and Metrology in India Using Cold Atoms and Ions 印度使用冷原子和离子的量子传感和计量的十年进展
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-11 DOI: 10.1007/s41745-022-00335-8
Pranab Dutta, S. Sagar Maurya, Kushal Patel, Korak Biswas, Jay Mangaonkar, Sumit Sarkar, Umakant D. Rapol
{"title":"A Decade of Advancement of Quantum Sensing and Metrology in India Using Cold Atoms and Ions","authors":"Pranab Dutta,&nbsp;S. Sagar Maurya,&nbsp;Kushal Patel,&nbsp;Korak Biswas,&nbsp;Jay Mangaonkar,&nbsp;Sumit Sarkar,&nbsp;Umakant D. Rapol","doi":"10.1007/s41745-022-00335-8","DOIUrl":"10.1007/s41745-022-00335-8","url":null,"abstract":"<div><p>Ultracold atoms and ions provide novel test-beds for quantum sensing and metrology. Technological advancement towards the construction of ultrastable and narrow linewidth lasers, optical frequency combs, and microwave electronics made it possible to realize atom interferometers with state of the art sensitivity and the most accurate clocks in the world based on long-lived quantum states of atoms and ions. Such systems have been utilized in applications starting from geodesy and navigation to the measurement and redefinition of fundamental constants. The field awaits a more enriched future in addition to the proposed applications of such systems in improving the Global Positioning System, secured communications, and exploring mineral and underground water resources. Here, we briefly report on the initiatives and current status of India in this research field in view of the global progress.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"103 2","pages":"609 - 632"},"PeriodicalIF":2.3,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4478124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Sage Statisticians in Social Sciences: Impact of Rubin’s Work 社会科学中的圣人统计学家:鲁宾工作的影响
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-11 DOI: 10.1007/s41745-022-00329-6
Kazuo Shigemasu
{"title":"Sage Statisticians in Social Sciences: Impact of Rubin’s Work","authors":"Kazuo Shigemasu","doi":"10.1007/s41745-022-00329-6","DOIUrl":"10.1007/s41745-022-00329-6","url":null,"abstract":"<div><p>Contemporary social scientists have cast serious doubts over traditional statistical testing procedures and questioned the reproducibility of the findings. The Bayesian approach provides sound statistical tools to draw inferences about unknown parameters and potential outcomes in a methodical way. This paper reviews D. B. Rubin’s work from the orthodox Bayesian viewpoint and discusses how his brilliant ideas and suggestions should be applied when social scientists deal with real data. The discussion focuses on making inferences about causal relationships and handling missing data. It is argued that social scientists who are confident about both the Bayesian coherent system and the necessitated effective software for numerical solutions can build relevant statistical models and derive relevant information from the Bayesian analysis of real data. This paper specifically explains how to deal with the data, using examples from situations that social scientists should often encounter.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 4","pages":"1277 - 1285"},"PeriodicalIF":2.3,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4477103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Editor’s Desk 编辑台
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-10-07 DOI: 10.1007/s41745-022-00342-9
G. K. Ananthasuresh
{"title":"Editor’s Desk","authors":"G. K. Ananthasuresh","doi":"10.1007/s41745-022-00342-9","DOIUrl":"10.1007/s41745-022-00342-9","url":null,"abstract":"","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 3","pages":"849 - 850"},"PeriodicalIF":2.3,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4319087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Frobenius Characteristic of Character Polynomials 特征多项式的Frobenius特征
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-09-26 DOI: 10.1007/s41745-022-00327-8
Amritanshu Prasad
{"title":"The Frobenius Characteristic of Character Polynomials","authors":"Amritanshu Prasad","doi":"10.1007/s41745-022-00327-8","DOIUrl":"10.1007/s41745-022-00327-8","url":null,"abstract":"<div><p>Polynomials in an infinite sequence of variables can be evaluated as class functions of symmetric groups on <span>(n)</span> letters across all <span>(n)</span>. When they represent characters of families of representations, they are called character polynomials. This article is an introduction to the theory of character polynomials and their Frobenius characteristics. As an application, some generating functions describing the restriction of a polynomial representation of <span>(GL_n)</span> to <span>(S_n)</span> are obtained.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 3","pages":"947 - 959"},"PeriodicalIF":2.3,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s41745-022-00327-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5026534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ecosystems Determinants of Nutritional Adequacy Among the Indian Preschool Children 印度学龄前儿童营养充足的生态系统决定因素
IF 2.3 4区 综合性期刊
Journal of the Indian Institute of Science Pub Date : 2022-09-16 DOI: 10.1007/s41745-022-00339-4
Bita Afsharinia, Anjula Gurtoo, Hasheem Mannan
{"title":"Ecosystems Determinants of Nutritional Adequacy Among the Indian Preschool Children","authors":"Bita Afsharinia,&nbsp;Anjula Gurtoo,&nbsp;Hasheem Mannan","doi":"10.1007/s41745-022-00339-4","DOIUrl":"10.1007/s41745-022-00339-4","url":null,"abstract":"<div><p>Given the specified importance of dietary diversity in reducing the burden of malnutrition, our study explores the reasons for the high rate of malnutrition in India through assessment of a comprehensive range of ecosystem factors leading to poor nutrients intake. The study uses the Dietary Diversity Score (DDS) to investigate preschoolers, through differences in wealth, gender, and health. Demographic and Health Survey (2015–16) data of 1,40,470 preschool children between the ages of 2–5 years, is investigated using the Bronfenbrenner’s Ecological Systems Theory. Multiple linear regression models developed to investigate the association between variables, depict the importance of vaccination (<i>p</i>-value &lt; 0.01, 95% CI 0.02–0.06) as positively impacting the outcome measures. Interestingly, overall wealth index does not impact the dietary diversity of the child. The lower wealth index, however, significantly impacts the DDS of the female child as compared to the male child (<i>p</i>-value &lt; 0.1, 95% CI − 0.03 to 0.02), indicating that the lower wealth index plays a role in developing the non-egalitarian gender attitudes for female children. Policy implications involve adapting biofortified foods with higher density of nutrients with major focus on female children to minimize the gender gap and leveraging the digital technology such as telemedicine, and advanced techniques such as artificial intelligence, machine learning, and big data to offer real-time surveillance to address the healthcare needs in the ongoing immunization programs.</p></div>","PeriodicalId":675,"journal":{"name":"Journal of the Indian Institute of Science","volume":"102 2","pages":"811 - 829"},"PeriodicalIF":2.3,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s41745-022-00339-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4667520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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