|Determinantal processes, applications and generalizations
Assistant Professor of Mathematics, Sharif University of
Technology, Tehran, Iran
Determinantal processes are point processes with correlation functions representable as some determinants. These processes have .wide applications in physics, combinatorics and probability theory A common feature of determinantal processes is the repulsion between points. We see that this property can be exploited to construct configurations with low discrepancy in both geometric and combinatorial settings. Moreover we will investigate the entropy of determinantal processes and a generalization that defines a class of processes with rich algebraic and probabilistic structure.
Keywords: Point processes, Correlation function, Entropy, Discrepancy, Determinant.