Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 11 of 11 for “"infinite dimensions"”.
-
Stochastic dynamics with singular lower order terms in finite and infinite dimensions
… unbounded spin system on a simple and connected infinite graph $mathbb{G(V,E)}$ which is of bounded degree. We assume that the potential energy of each configuration $x in Omega:=mathbb{R}^{mathbb{V}}$ is given by the formal Hamiltonian $$ H(x)=sum _{v in …
-
Mild solutions of SPDE's driven by Poisson noise in infinite dimensions and their dependence on initial conditions
… stochastic partial differential equations in an infinite dimensional Hilbert space H of the following form: dX(t)=[AX(t)+F(X(t))]dt+B(X(t),y)q(dt,dy), X(0)=g, where q(dt,dy) is a compensated Poisson random measure associated to a stationary Poisson point process on a [sigma]-finite measure space …
-
Two topics in financial mathematics : Forward utility and consumption functions & Hedging with variance swaps in infinite dimensions
… entitled “Hedging with Variance Swaps in Infinite Dimensions”, contributes to the derivatives pricing and hedging branch of Financial Mathematics. It is at the interface between the works of Buehler, who has shown that one could apply the HJM framework to model (forward) variance swaps …
-
Variational Analysis In Parametric Optimization
… analysis and generalized differentiation in infinite dimensions. We derive new calculus rules for both first-order partial subdifferentials and second-order partial subdifferentials in the framework of general Banach spaces as well as more developed rules in the framework of Asplund spaces. …
-
Applications of probability to partial differential equations and infinite dimensional analysis
… for additive functions both in finite and infinite dimensions. The connection between additivity and linearity is explored under different circumstances, and the techniques developed in the process lead to results about the structure of abstract Wiener spaces. Both parts are joint work with …
-
A semi-infinite cycle construction of Floer homology
… viewed as a generalization of Morse theory to an infinite dimensional setting, our approach is a generalization of bordism to infinite dimensions. The key new insight, based on unpublished work of Tom Mrowka and Peter Ozsvath, is an understanding of how to axiomatize compactness in the infinite …
-
Extension of Shor's period-finding algorithm to infinite dimensional Hilbert spaces
… the delta function for a subspace of an infinite dimensional Hilbert space. We then use this distribution to rigorously prove one of the main identities needed for the algorithm. Finally we provide a rigorous formulation of the hidden subspace algorithm in infinite dimensions.
-
Discrimination of Quantum Channels
… are based on), so far studied only in finite dimensions, to the infinite-dimensional setting of general separable Hilbert spaces, and establish a general theory of quantum channel discrimination also in this setting. For this, we prove (among many other things) the chain rule for the geometric …
-
Frequency selective surface-based sensing: Theory and applications
… sensors. To this end, the theoretical (assuming infinite dimensions and a uniform excitation) FSS response is modeled using a cavity-based coupled-mode theory and subsequent quality factor analysis for patch and loop unit cells in order to study the effect of unit cell dimension, element geometry …
-
Minimum-correction second-moment matching : theory, algorithms and applications
… to rank-deficient cases as well as to infinite dimensions. We highlight the geometric intuition behind the theory and study the problem's rich connections to minimum congruence transform, generalized polar decomposition, optimal transport, and rank-deficient data assimilation. In the …
-
The Foundations of Infinite-Dimensional Spectral Computations
Spectral computations in infinite dimensions are ubiquitous in the sciences. However, their many applications and theoretical studies depend on computations which are infamously difficult. This thesis, therefore, addresses the broad question, “What is computationally possible within the field of …