Jürgpeter Buser

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Publications associées (12)

Translation surfaces with large systoles

Jürgpeter Buser

In this paper, we continue to investigate the systolic landscape of translation surfaces started in [T. Columbus, F. Herrlich, B. Muetzel and G. Weitze-Schmithüsen, Systolic geometry of translation surfaces, Exp. Math. (2022), doi:10.1080/10586458.2022.210 ...

2025

Some counterexamples in surface homology

Jürgpeter Buser

We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some difficul ...

2024

Short homology bases for hyperelliptic hyperbolic surfaces

Jürgpeter Buser

Given a hyperelliptic hyperbolic surface S of genus g >= 2, we find bounds on the lengths of homologically independent loops on S. As a consequence, we show that for any lambda is an element of (0, 1) there exists a constant N(lambda) such that every such ...

Hebrew Univ Magnes Press2023

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

Jürgpeter Buser, Robert Silhol

We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface S where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian variety of S develops into a variety that split ...

2021

Recursive analysis of singular ordinary differential equations

Jürgpeter Buser

We investigate systems of ordinary differential equations with a parameter. We show that under suitable assumptions on the systems the solutions are computable in the sense of recursive analysis. As an application we give a complete characterization of the ...

Elsevier2010

Spectral rigidity and discreteness of 2233-groups. With an appendix by Colin MacLachlan and Gerhard Rosenberger

Jürgpeter Buser, Klaus-Dieter Semmler

Cambridge University Press2008

Undecidable propositions by ODE's

Jürgpeter Buser

The authors define a family of functions by starting with (complex) exponentials and closing under some basic algebraic operations, integration, and solution of certain systems of differential equations. They then show that for every recursively (computabl ...

2007