Browsing by Author "Albeverio, Sergio"
Now showing items 1-9 of 9
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Contributions to Quantum Probability
Fritz, Tobias (2010-07-07)Chapter 1: On the existence of quantum representations for two dichotomic measurements. Under which conditions do outcome probabilities of measurements possess a quantum-mechanical model? This kind of problem is solved ... -
Fermat Reals: Nilpotent Infinitesimals and Infinite Dimensional Spaces
Giordano, Paolo (2010-01-20)The main aim of the present work is to start a new theory of actual infinitesimals, called theory of Fermat reals. After the work of A. Robinson on nonstandard analysis (NSA), several theories of infinitesimals have been ... -
Gluing Spaces and Analysis
Paulik, Gustav (2005)In the first part of this work we study the gluing of metric measure spaces. The gluing is defined by a bilipschitz map which identifies the gluing sets. The new metric is given by the minimal length of all possible paths ... -
Infinitesimal analysis of singular stochastic partial differential equations
Turra, Mattia (2023-05-10)The last decade has seen a considerable rise in the study of singular stochastic partial differential equations (SPDEs) which turned into the birth of many celebrated techniques for the development of a solution theory for ... -
Probabilistic and differential geometric methods for relativistic and Euclidean Dirac and radiation fields
Borasi, Luigi Marcello (2020-07-09)The main objective of the thesis is to study relativistic and Euclidean Fermionic quantum fields from a geometrical and probabilistic point of view as opposed to the standard treatment which is more algebraic in nature.<br ... -
Some asymptotic results on non-standard likelihood ratio tests, and Cox process modeling in finance
Szimayer, Alexander (2002)This dissertation consists of two parts. In the first part, the subject of hypothesis testing is addressed. Here, non-standard formulations of the null hypothesis are discussed, e.g., non-stationarity under the null, and ... -
Stochastic Interacting Particle Systems and Nonlinear Partial Differential Equations from Fluid Mechanics
Philipowski, Robert (2007)We derive stochastic particle approximations for two nonlinear partial differential equations from fluid mechanics: the porous medium equation and the three-dimensional Navier-Stokes equation. We associate interacting ... -
Universelle Algorithmen zur Portfolio-Optimierung
Lüssem, Jens (2003)In dieser Arbeit werden nicht-klassische Ansätze zur Portfolio-Optimierung untersucht, die auf der kompetitiven Analyse von Online-Algorithmen beruhen. Die vorgestellten Verfahren verzichten damit auf eine stochastische ... -
A variational approach to Gibbs measures on function spaces
Barashkov, Nikolay (2022-03-18)We study develop a variational technique to study models from constructive quantum field theory. Our starting point is the interpretation of the Polchinski equation as the Hamilton-Jacobi-Bellman equation of a stochastic ...