Max Planck Institute for Mathematics

Anchors for Homology-Based Scaffolding

Homology-based scaffolding orders contigs based on conserved collinearity of homologous sequences across related species. Existing methods often rely on costly whole-genome alignments or show limited robustness when integrating multiple references. Here, we introduce an anchor-ba...

Approximately optimal search on a higher-dimensional sliding puzzle

Abstract Higher-dimensional sliding puzzles are constructed on the vertices of a d -dimensional hypercube, where $$2^d-l$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mn>2</mml:mn> <mml:mi>d</mml:mi> </mml:msup> <mml:mo>-</mml:mo> <mml:mi>...

Computational History of Chemistry – Part 2: Multiple Scales, from the Individual to the Global

This article demonstrates the power of computational methods to illuminate the history of chemistry across multiple scales - from the micro-level of individual scientific careers to the macro-level of global knowledge systems and geopolitical shifts. Grounded in a tripartite fram...

A round of Pintz to celebrate oscillations in sums

Abstract We explore a method, going back to Landau and developed by Pintz, for connecting sums of arithmetic functions with zero-free regions for $$L$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -functions. In particular, we make expl...

Warum finanzielle Anreize verpuffen: Verhaltensökonomische Perspektiven auf wirtschaftspolitische Maßnahmen in der Energiekrise

Zusammenfassung Vor dem Hintergrund der Energiekrise 2022/23 und der Gefahr einer Gasmangellage suchte die deutsche Wirtschaftspolitik das Verbrauchsverhalten der Haushalte durch finanzielle Anreize zu beeinflussen. Markus Dertwinkel-Kalt und Matthias Sutter analysieren, warum hi...