Generalized entropy method for the renewal equation with measure data

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Date
2016
Volume
2016-07
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Link to publishers version
Abstract

We explore the explicit relationship between the descendant Gromov–Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant invariants and give an algorithm that establishes a tropical Gromov–Witten/Hurwitz equivalence. Tropical curve counting is related to an algebra of operators on the Fock space by means of bosonification. In this manner, tropical geometry provides a convenient “graphical user interface” for Okounkov and Pandharipande’s celebrated GW/H correspondence. An important goal of this paper is to spell out the connections between these various perspectives for target dimension 1, as a first step in studying the analogous relationship between logarithmic descendant theory, tropical curve counting, and Fock space formalisms in higher dimensions.

Description
Keywords
Structured population model, positive Radon measures, generalized relative entropy methods, measure valued-solutions, concentration measure
Citation
Gwiazda, P., & Wiedemann, E. (2016). Generalized entropy method for the renewal equation with measure data (Vol. 2016-07). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2016-07
License
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
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