scholarly journals Introductory Chapter: Frontiers and Future Developments of the Complex Analysis

2020 ◽  
Author(s):  
Francisco Bulnes
Keyword(s):  
Complex Analysis ◽  
Future Developments

scholarly journals Analysis of heavy-flavour particles in ALICE with the O2 analysis framework

2021 ◽  
Vol 251 ◽  
pp. 03064
Author(s):  
Vít Kučera ◽  
Gian Michele Innocenti ◽  
Francesco Prino ◽  
Andrea Rossi ◽  
Jan Fiete Grosse-Oetringhaus ◽  
...  
Keyword(s):  
Processing Speed ◽  
Complex Analysis ◽  
Minimum Bias ◽  
Analysis Framework ◽  
Charm Mesons ◽  
Alice Experiment ◽  
The Core ◽  
Future Developments ◽  
Physics Program ◽  
Data Volume

Precise measurements of heavy-flavour hadrons down to very low pT represent the core of the physics program of the upgraded ALICE experiment in Run 3 [1]. These physics probes are characterised by a very small signal-to-background ratio requiring very large statistics of minimum-bias events. In Run 3, ALICE is expected to collect up to 13 nb−1 of lead–lead collisions, corresponding to about 1 × 1011 minimum-bias events. In order to analyse this unprecedented amount of data, which is about 100 times larger than the statistics collected in Run 1 and Run 2, the ALICE collaboration is developing a complex analysis framework that aims at maximising the processing speed and data volume reduction [2]. In this paper, the strategy of reconstruction, selection, skimming, and analysis of heavy-flavour events for Run 3 will be presented. Some preliminary results on the reconstruction of charm mesons and baryons will be shown and the prospects for future developments and optimisation discussed.

Introduction

2014 ◽  
Keyword(s):  
Twentieth Century ◽  
Number Theory ◽  
Algebraic Geometry ◽  
Dynamical Systems ◽  
Complex Analysis ◽  
Measure Theory ◽  
Classical Mechanics ◽  
Holomorphic Dynamics ◽  
Holomorphic Maps

This introductory chapter is an overview into holomorphic dynamics—one of the earliest branches of dynamical systems which is not part of classical mechanics. Holomorphic dynamics studies iterates of holomorphic maps on complex manifolds. As a prominent field in its own right, holomorphic dynamics was founded early in the twentieth century, but was almost completely forgotten for sixty years, only to be revived in the early 1980s partly due to the efforts of John Milnor. The field of holomorphic dynamics is rich in interactions with many branches of mathematics; such as complex analysis, geometry, topology, number theory, algebraic geometry, combinatorics, and measure theory. This chapter briefly explores the extent of such interplay.

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