Mathematisch-Naturwissenschaftliche Fakultät: Suche
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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 ...
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, ...
Functional Inequalities and Heat Kernel Asymptotics on Some Classes of Singular Riemannian Manifolds
(2019-11-13)
This thesis consists of two parts.
In the first part we are focusing on stratified pseudomanifolds equipped with an iterated edge metric. More specifically, in Chapter 1 we give the basic definitions and review some ...
In the first part we are focusing on stratified pseudomanifolds equipped with an iterated edge metric. More specifically, in Chapter 1 we give the basic definitions and review some ...
Quiver Modulations and Potentials
(2017-04-11)
We introduce DWZ (Derksen-Weyman-Zelevinsky) mutation for a special class of SPs (species with potential). Generalizing a construction of Labardini-Fragoso, we associate with each triangulated, constantly weighted orbifold ...
Low-rank Tensor Recovery
(2016-10-28)
Low-rank tensor recovery is an interesting subject from both the theoretical and application point of view. On one side, it is a natural extension of the sparse vector and low-rank matrix recovery problem. On the other ...
Homology Computations for Mapping Class Groups, in particular for Γ03,1
(2011-09-12)
In this thesis we compute the homology of mapping class groups of orientable and non-orientable surfaces. The surfaces we consider are of genus g, have one boundary curve and m permutable punctures. The ...
