A search for dynamical fluctuations in ²⁰⁸Pb - ²⁰⁸Pb collisions at 158 A GeV/c

The study of fluctuations and correlations in heavy-ion collision experiments at relativistic high energies provide us an opportunity to study exotic phenomenon such as possibility of formation of Quark-gluon plasma (QGP). A key problem in this search is the identification of signatures of QGP formation via the study of experimental observable. Any physical quantity measured in collision experiments is subject to fluctuations. These fluctuations are believed to depend on the property of the system under study and are expected to provide some useful information about the system formed during the collision. In the context of heavy-ion collisions, a considerable advancement has been made in recent years on the event-by-event study of the fluctuation due to the availability of heavy-ion beams for wide range of energies (such as SPS, RHIC and now available LHC energies). Analysis of single events with large statistics can reveal different physics than studying averages over a large statistical sample of collision events. In order to extract new physics associated with the fluctuations, it becomes customary to understand the role of statistical fluctuations. In this search, investigation of experimental observables, like, transverse energy (E_t), transverse momentum (p_t), k/π ratio, electric charge, etc.