A note on the capacity estimate in metastability for generic configurations
Avelin, B., & Julin, V. (2024). A note on the capacity estimate in metastability for generic configurations. Manuscripta Mathematica, Early online. https://doi.org/10.1007/s00229-024-01555-1
Julkaistu sarjassa
Manuscripta MathematicaPäivämäärä
2024Oppiaine
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsTekijänoikeudet
© 2024 the Authors
In this paper we further develop the ideas from Geometric Function Theory initially introduced in Avelin et al. (Commun Math Phys 404:401–437, 2023), to derive capacity estimate in metastability for arbitrary configurations. The novelty of this paper is twofold. First, the graph theoretical connection enables us to exactly compute the pre-factor in the capacity. Second, we complete the method from Avelin et al. (Commun Math Phys 404:401–437, 2023) by providing an upper bound using Geometric Function Theory together with Thompson’s principle, avoiding explicit constructions of test functions.
Julkaisija
SpringerISSN Hae Julkaisufoorumista
0025-2611Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/213159011
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Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiatutkijan tutkimuskulut, SALisätietoja rahoituksesta
Open Access funding provided by University of Jyväskylä (JYU). B.A. was supported by the Swedish Research Council DNR: 2019–04098. V.J. was supported by the Academy of Finland Grant 314227.Lisenssi
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