Titlebook: Probability and Stochastic Processes; A Volume in Honour o Siva Athreya,Abhay G. Bhatt,B. V. Rao Book 2024 The Editor(s) (if applicable) an

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,Small Ball Probabilities for the Stochastic Heat Equation,We provide a gentle introduction to the area of small ball probabilities and state some recent results for the stochastic heat equation (SHE). We also briefly discuss the proof in the case when the noise term in SHE is independent of the solution.

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Siva Athreya,Abhay G. Bhatt,B. V. RaoDiscusses several active areas of research in probability theory and related fields.Targets advanced undergraduate, graduate students and researchers in probability, statistics and related fields.Incl

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

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Probability and Stochastic Processes978-981-99-9994-1Series ISSN 2523-3114 Series E-ISSN 2523-3122

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,Directed Spanning Forest for Ginibre Ensemble Is a Tree,onstructed on a homogeneous Poisson point process is connected. We then modify it to show that the DSF constructed on the Ginibre ensemble, which is a strongly correlated point process, is connected a.s.

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,Spectrum of High-Dimensional Sample Covariance and Related Matrices: A Selective Review,parable, generalized, and cross-covariance matrices, Kendall’s . and Spearman’s . matrices, and the autocovariance matrices in one and high dimensions. Finally, we present some statistical applications.

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Book 2024delible mark in every endeavour of his and in his several different avatars—be it in the ISI, in the industry or as Director of Chennai Mathematical Institute. This book will be useful to senior undergraduate and graduate students, as well as researchers in probability, statistics and related fields..

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2523-3114 searchers in probability, statistics and related fields.Incl.The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He was a distinguished resea

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Book 2024our of Professor Rajeeva L. Karandikar who turned 65 in 2021. He was a distinguished researcher and a teacher at the Indian Statistical Institute (ISI), Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the Government of India and the industry. He has left an in