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Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators

Kristian Evans, Neils Jacob

Trends in Mathematics, Pages: 333 - 362

Swansea University Authors: Kristian Evans, Neils Jacob

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DOI (Published version): 10.1007/978-3-031-20021-2

Abstract

In this paper we study the possibility to represent the heat kernel associated with a pseudo differential operator with negative definite symbol with the help of a combination of two metrics associated with the symbol. We discuss in great detail two examples and we outline the consequences of this a...

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Published in: Trends in Mathematics
ISBN: 9783031200205 9783031200212
ISSN: 2297-0215 2297-024X
Published: Cham Springer International Publishing 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa64994
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last_indexed 2024-11-25T14:15:09Z
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spelling 2024-03-11T12:47:21.0633534 v2 64994 2023-11-15 Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators 1c65edfdcd4ef282f3953f359c5e7209 Kristian Evans Kristian Evans true false a3ccb52fd116c445e321941d9f3c662a Neils Jacob Neils Jacob true false 2023-11-15 MACS In this paper we study the possibility to represent the heat kernel associated with a pseudo differential operator with negative definite symbol with the help of a combination of two metrics associated with the symbol. We discuss in great detail two examples and we outline the consequences of this approach. Book chapter Trends in Mathematics 333 362 Springer International Publishing Cham 9783031200205 9783031200212 2297-0215 2297-024X Non-local generators; Fractional Laplacians; Potential kernels; Heat kernel decays; Metric measure spaces 7 10 2022 2022-10-07 10.1007/978-3-031-20021-2 https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17 https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2024-03-11T12:47:21.0633534 2023-11-15T20:37:33.0131446 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Kristian Evans 1 Neils Jacob 2
title Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
spellingShingle Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
Kristian Evans
Neils Jacob
title_short Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
title_full Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
title_fullStr Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
title_full_unstemmed Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
title_sort Some Geometric Observations on Heat Kernels of Markov Semigroups with Non-local Generators
author_id_str_mv 1c65edfdcd4ef282f3953f359c5e7209
a3ccb52fd116c445e321941d9f3c662a
author_id_fullname_str_mv 1c65edfdcd4ef282f3953f359c5e7209_***_Kristian Evans
a3ccb52fd116c445e321941d9f3c662a_***_Neils Jacob
author Kristian Evans
Neils Jacob
author2 Kristian Evans
Neils Jacob
format Book chapter
container_title Trends in Mathematics
container_start_page 333
publishDate 2022
institution Swansea University
isbn 9783031200205
9783031200212
issn 2297-0215
2297-024X
doi_str_mv 10.1007/978-3-031-20021-2
publisher Springer International Publishing
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url https://link.springer.com/chapter/10.1007/978-3-031-20021-2_17
document_store_str 0
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description In this paper we study the possibility to represent the heat kernel associated with a pseudo differential operator with negative definite symbol with the help of a combination of two metrics associated with the symbol. We discuss in great detail two examples and we outline the consequences of this approach.
published_date 2022-10-07T08:26:10Z
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score 11.04748

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