Now showing items 21-30 of 89
Primes in Short Intervals
(Springer-Verlag; Springer-Verlag Berlin Heidelberg, 2004-12)
Contrary to what would be predicted on the basis of Cramér’s model concerning the distribution of prime numbers, we develop evidence that the distribution of ψ ( x + H )− ψ ( x ), for 0≤ x ≤ N , is approximately normal ...
Closed and Open Conformal Field Theories and Their Anomalies
(Springer-Verlag; Springer-Verlag Berlin Heidelberg, 2005-02)
We describe a formalism allowing a completely mathematical rigorous approach to closed and open conformal field theories with general anomaly. We also propose a way of formalizing modular functors with positive and negative ...
The Classical Electron Problem
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 2001-09)
In this paper, we construct a parallel image of the conventional Maxwell theory by replacing the observer-time by the proper-time of the source. This formulation is mathematically, but not physically, equivalent to the ...
Instanton Expansion of Noncommutative Gauge Theory in Two Dimensions
(Springer-Verlag; Springer-Verlag Berlin Heidelberg, 2003-12)
We show that noncommutative gauge theory in two dimensions is an exactly solvable model. A cohomological formulation of gauge theory defined on the noncommutative torus is used to show that its quantum partition function ...
The spatial structure of networks
(EDP Sciences; EDP Sciences/Società Italiana di Fisica/Springer-Verlag, 2006-01)
We study networks that connect points in geographic space, such astransportation networks and the Internet. We find that there are strongsignatures in these networks of topography and use patterns, giving thenetworks shapes ...
Hopf bifurcations on cubic lattices
(IOP Publishing Ltd, 2003-11-01)
Group theoretic means are employed to analyse the Hopf bifurcation on pattern forming systems with the periodicity of the face-centred (FCC) and body-centred (BCC) cubic lattices. We find all ℂ-axial subgroups of the normal ...
Non-Formation of Vacuum States for Compressible Navier–Stokes Equations
(Springer-Verlag; Springer-Verlag Berlin Heidelberg, 2001-02)
We prove that weak solutions of the Navier–Stokes equations for compressible fluid flow in one space dimension do not exhibit vacuum states, provided that no vacuum states are present initially. The solutions and external ...
Exact Results for the Universal Area Distribution of Clusters in Percolation, Ising, and Potts Models
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 2003-01)
At the critical point in two dimensions, the number of percolation clusters of enclosed area greater than A is proportional to A −1 , with a proportionality constant C that is universal. We show theoretically (based upon ...
A UV–Visible–NIR fluorescence lifetime imaging microscope for laser-based biological sensing with picosecond resolution
(Springer-Verlag, 2003-05)
This article describes the design and characterization of a wide-field, time-domain fluorescence lifetime imaging microscopy (FLIM) system developed for picosecond time-resolved biological imaging. The system consists of ...
The symmetric representation of the rigid body equations and their discretization
(IOP Publishing Ltd, 2002-07-01)
This paper analyses continuous and discrete versions of the generalized rigid body equations and the role of these equations in numerical analysis, optimal control and integrable Hamiltonian systems. In particular, ...