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Timing-Driven Macro Placement
(2019-03-29)
Placement is an important step in the process of finding physical layouts for electronic computer chips. The basic task during placement is to arrange the building blocks of the chip, the circuits, disjointly within a given ...
Algorithms for Cell Layout
(2019-04-30)
Cell layout is a critical step in the design process of computer chips. A cell is a logic function or storage element implemented in CMOS technology by transistors connected with wires. As each cell is used many times on ...
Topological and Piecewise Linear Pseudoisotopy Functors
(2019-05-16)
We construct two functors Pstrict∂:Top →Top and ℙstrict∂:Top → Spectra such that for a compact manifold M the space P
On some Geometric Search Problems: Algorithms, Complexity, Computability
(2020-11-25)
This thesis considers four search problems which are related to or emerge from a geometric context. Each search problem is examined in a separate chapter; these four chapters are framed by an introduction and a conclusion ...
Geometry of random 3-manifolds
(2020-01-31)
We study random 3-manifolds, as introduced by Dunfield and Thurston, from a geometric point of view. Within this framework, work of Maher allows us to equip a typical random 3-manifold with a canonical geometric structure, ...
Entwicklung einer Spurkammer für das Studium von Driftfeld-Kalibrationsmethoden
(2022-06-07)
Bei der Erforschung von Materie hat man sich in der Geschichte schrittweise, durch Beobachtungen und Modelle, an ihre untergeordneten Strukturen herangetastet. Aus heutiger Sicht sind Quarks und Gluonen, neben den Elektronen, ...
Coloured topological operads and moduli spaces of surfaces with multiple boundary curves
(2022-07-07)
While it is a classical result that the collection of moduli spaces of surfaces with a single boundary curve is an E2-algebra (more precisely: it admits an action of the little 2-cubes operad ......
Pathwise methods in regularisation by noise
(2022-07-18)
This thesis concerns the study of regularisation by noise phenomena for ODEs and PDEs. In particular, it focuses on the use of so called pathwise techniques: our aim is to identify analytical properties, satisfied by typical ...
A Mathematical Analysis of Coarsening Processes Driven by Vanishing
(2022-07-29)
In this thesis, we investigate several models of coarsening processes with the property that an agent, commonly referred to as particle, vanishes from the system once it reaches size zero and hence the average particle ...
Geometry and derived categories of holomorphic symplectic manifolds
(2022-12-02)
In this thesis we study various aspects of hyper-Kähler manifolds and abelian varieties such as their derived categories, sheaves, cycles, and topology. The thesis consists of six parts.
The first part is mostly ...
The first part is mostly ...