Directed flow from global symmetry and initial state Fluctuations

Initial state fluctuations and final state collectivity in high energy nuclear collisions: Status and Outlook

We review recent developments in the theoretical description of the initial state and collective dynamics in heavy ion and light-heavy ion collisions. After describing the current state of the art in event by event simulations of high energy nuclear collisions we will focus on open issues. These include early time non-equilibrium dynamics, small collision systems (p+p, p+A), hydrodynamic fluctu...

Effects of Initial Symmetry on the Global Symmetry of One-Dimensional Legal Cellular Automata

To examine the development of pattern formation from the viewpoint of symmetry, we applied a two-dimensional discrete Walsh analysis to a one-dimensional cellular automata model under two types of regular initial conditions. The amount of symmetropy of cellular automata (CA) models under regular and random initial conditions corresponds to three Wolfram’s classes of CAs, identified as Classes I...

Initial Conditions, Inflation, and Fluctuations

A s you know, four main bodies of evidence affirm the big bang: the dark sky, Hubble expansion, element abundances, and cosmic microwave background radiation (CMBR). Parts 1-4 of this series briefly examined these topics. [1-4] Here we say a few words about the window the CMBR offers into the very early universe, including a brief but crucial epoch of " inflation. " Recall that the CMBR was fir...

Symmetry and collective fluctuations in evolutionary games

We review stochastic evolutionary game theory from a perspective that starts in the very general regression methods of population genetics, and introduces games as a powerful yet flexible framework to unpack the “black box” of development, which generates frequency-dependent fitness maps and which may also structure the transmission process. This approach to evolutionary game theory retains the...

On symmetry and reversible symmetry concerning generalized directed divergence