Mathematisch-Naturwissenschaftliche Fakultät: Suche
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Long-timescale atomistic simulations
(2021-03-31)
The simulation and analysis of particle systems dynamics is an important subfield of computational materials science. It allows the investigation of many properties of interest, such as reaction mechanisms, diffusion rates, ...
Arithmetic structures on noncommutative tori with real multiplication
(2007)
We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmetic structure on the noncommutative torus. ...
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
(2018-03-05)
We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are ...
Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
(2017-03-29)
We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity in question to an AFL identity in lower ...
Zur Kohomologie und Spektraltheorie des Hodge-Laplaceoperators von Mannigfaltigkeiten mit gefaserter Spitzenmetrik
(2009-06-23)
Eine Mannigfaltigkeit X mit gefaserter Spitzenmetrik kann als Verallgemeinerung der geometrischen Struktur von lokal-symmetrischen Räumen vom Q-Rang Eins angesehen werden.
In der vorliegenden Arbeit ...
In der vorliegenden Arbeit ...
Interlacing Patterns in Exclusion Processes and Random Matrices
(2014-02-11)
In the last decade, there has been increasing interest in the fields of random matrices, interacting particle systems, stochastic growth models, and the connections between these areas. For instance, several objects that ...
Algorithms for Circuit Sizing in VLSI Design
(2016-05-10)
One of the key problems in the physical design of computer chips, also known as integrated circuits, consists of choosing a physical layout for the logic gates and memory circuits (registers) on the chip. The layouts ...
Heat Flows on Time-dependent Metric Measure Spaces
(2018-04-26)
We consider time-dependent metric measure spaces evolving as a super Ricci flow in the sense of Sturm. We haracterize these by means of the (time-dependent) heat flow. We establish equivalence of super Ricci flows, gradient ...
The continuous analysis of entangled multilinear forms and applications
(2017-08-15)
The quadrilinear singular integral form
Lambda(F_1,F_2,F_3,F_4) = int_R^4 F_1(x,y) F_2(x,y') F_3(x',y') F_4(x',y) K(x-x',y-y') dxdydx'dy'
was motivated by the work of Kovač on the twisted paraproduct, ...
Lambda(F_1,F_2,F_3,F_4) = int_R^4 F_1(x,y) F_2(x,y') F_3(x',y') F_4(x',y) K(x-x',y-y') dxdydx'dy'
was motivated by the work of Kovač on the twisted paraproduct, ...
André-Quillen Homology of Global Power Functors and Ultra-Commutative Ring Spectra
(2023-01-23)
In this dissertation, we study multiplications in globally equivariant stable homotopy theory. Concretely, this means studying ultra-commutative ring spectra, which encode a rich multiplicative structure on a family of ...
