arXiv subjects

Caesar Saloma

Publications and source records attributed to Caesar Saloma.

3 recordsLinked to original sources

arXiv2004

Size-Distribution Scaling in Clusters of Allelomimetic Agents

The allelomimesis clustering model is based on only two parameters: a local parameter $α$ that represents the probability of nearest-neighbor copying and a global parameter $p$ that represents the fraction of unresponsive agents. The model results into the formation of clusters of agents, the sizes of which obey a distribution that is determined by the values of $α$ and $p$. Several experimental data are fitted by tuning the two parameters. In particular, the significance of the value of $α$ that corresponds to an experimental data is discussed and is justified according to behavioral context. Recommendations for possible extensions of the model are also enumerated.

nlin.AO↗

arXiv2004

Allelomimesis as universal clustering mechanism for complex adaptive systems

Animal and human clusters are complex adaptive systems and many are organized in cluster sizes $s$ that obey the frequency-distribution $D(s)\propto s^{-τ}$. Exponent $τ$ describes the relative abundance of the cluster sizes in a given system. Data analyses have revealed that real-world clusters exhibit a broad spectrum of $τ$-values, $0.7\textrm{(tuna fish schools)}\leqτ\leq 2.95\textrm{(galaxies)}$. We show that allelomimesis is a fundamental mechanism for adaptation that accurately explains why a broad spectrum of $τ$-values is observed in animate, human and inanimate cluster systems. Previous mathematical models could not account for the phenomenon. They are hampered by details and apply only to specific systems such as cities, business firms or gene family sizes. Allelomimesis is the tendency of an individual to imitate the actions of its neighbors and two cluster systems yield different $τ$ values if their component agents display different allelomimetic tendencies. We demonstrate that allelomimetic adaptation are of three general types: blind copying, information-use copying, and non-copying. Allelomimetic adaptation also points to the existence of a stable cluster size consisting of three interacting individuals.

nlin.AO↗

arXiv2003

Foreign exchange market fluctuations as random walk in demarcated complex plane

We show that time-dependent fluctuations $\{Δx\}$ in foreign exchange rates are accurately described by a random walk in a complex plane that is demarcated into the gain (+) and loss (-) sectors. $\{Δx\}$ is the outcome of $N$ random steps from the origin and $|Δx|$ is the square of the Euclidean distance of the final $N$-th step position. Sign of $\{Δx(t)\}$ is set by the $N$-th step location in the plane. The model explains not only the exponential statistics of the probability density of $\{Δx\}$ for G7 markets but also its observed asymmetry, and power-law dependent broadening with increasing time delay.

physics.comp-ph↗