61 citations · 358 across the 21 of their papers we have counts for
21 papers
Dynamical system theory of periodically collapsing bubbles
V. I. Yukalov, E. P. Yukalova, D. Sornette
We propose a reduced form set of two coupled continuous time equations linking the price of a representative asset and the price of a bond, the later quantifying the cost of borrow…
Mode interference in quantum joint probabilities for multimode Bose-condensed systems
V. I. Yukalov, E. P. Yukalova, D. Sornette
The method of defining quantum joint probabilities of two events is applied to a multimode system of trapped Bose-condensed atoms. The coherent modes are generated by modulating th…
Quantum probabilities of composite events in quantum measurements with multimode states
V. I. Yukalov, D. Sornette
The problem of defining quantum probabilities of composite events is considered. This problem is of high importance for the theory of quantum measurements and for quantum decision…
Super-linear scaling of offsprings at criticality in branching processes
A. Saichev, D. Sornette
For any branching process, we demonstrate that the typical total number of events triggered over all generations within any sufficiently large time window exhi…
Exploring the limits of safety analysis in complex technological systems
D. Sornette, T. Maillart, W. Kroeger
From biotechnology to cyber-risks, most extreme technological risks cannot be reliably estimated from historical statistics. Therefore, engineers resort to predictive methods, such…
Extreme events in population dynamics with functional carrying capacity
V. I. Yukalov, E. P. Yukalova, D. Sornette
A class of models is introduced describing the evolution of population species whose carrying capacities are functionals of these populations. The functional dependence of the carr…