Existence of monotone Morse flow lines of the expander functional

Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self-expander. This flow is monotone in a suitable sense and has small singular set.

Authors

Jacob Bernstein (ORCID: https://orcid.org/0000-0003-2774-9030)
Lu Wang
Letian Chen

Institutions

Johns Hopkins University (US)
Yale University (US)
Circle Park (US)
University of Tennessee at Knoxville (US)

Publication Details

Journal: Transactions of the American Mathematical Society
Published: 2026-03-04
DOI: https://doi.org/10.1090/tran/9610
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

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article

Existence of monotone Morse flow lines of the expander functional

Jacob Bernstein, Lu Wang, Letian Chen

Mar 4, 2026

Transactions of the American Mathematical Society

Mathematical Dynamics and Fractals

article

Existence of monotone Morse flow lines of the expander functional

Jacob Bernstein, Lu Wang, Letian Chen

March 4, 2026article en

Abstract

Transactions of the American Mathematical Society

Johns Hopkins University (US), Yale University (US), Circle Park (US), University of Tennessee at Knoxville (US)

Reduced inequalities

Openalex Percentile: Top 30%

Mathematical Dynamics and Fractals

DOI Source OpenAlex

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