30 Years of Mathematical Methods in High Energy Physics

$p$-Adic Mathematical Physics: The First 30 Years

p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief re...

Data Unfolding Methods in High Energy Physics

A selection of unfolding methods commonly used in High Energy Physics is compared. The methods discussed here are: bin-by-bin correction factors, matrix inversion, template fit, Tikhonov regularisation and two examples of iterative methods. Two procedures to choose the strength of the regularisation are tested, namely the L-curve scan and a scan of global correlation coefficients. The advantage...

New Acceleration Methods for High Energy Physics

Introduction ................................................ 948 Colliding Linac Design ...................................... 948 2.1 Luminosity ........................................ 949 2.2 Disruption ........................................ 951 2.3 Beamstrahlung ..................................... 952 2.4 Cavity loading ..................................... 953 2.5 A 50-TeV Parameter L...

Mathematical Methods of Theoretical Physics

Cellular Automata Methods in Mathematical Physics Cellular Automata Methods in Mathematical Physics

Cellular automata (CA) are fully discrete, spatially-distributed dynamical systems which can serve as an alternative framework for mathematical descriptions of physical systems. Furthermore, they constitute intrinsically parallel models of computation which can be e ciently realized with special-purpose cellular automata machines. The basic objective of this thesis is to determine techniques fo...