124 citations · 200 across the 5 of their papers we have counts for
6 papers
Matrix Product State Simulation of Reacting Shear Flows
Robert Pinkston, Nikita Gourianov, Hirad Alipanah +3
Direct numerical simulation (DNS) of turbulent reactive flows has been the subject of significant research interest for several decades. Accurate prediction of the effects of turbu…
Simulating Quantum Turbulence with Matrix Product States
Felipe Gómez-Lozada, Nicolas Perico-García, Nikita Gourianov +2
Quantum turbulence spans length scales from the system size to the healing length , making direct numerical simulations (DNS) of the Gross-Pitaevskii (GP) equation computati…
Tensor networks enable the calculation of turbulence probability distributions
Nikita Gourianov, Peyman Givi, Dieter Jaksch +1
Predicting the dynamics of turbulent fluid flows has long been a central goal of science and engineering. Yet, even with modern computing technology, accurate simulation of all but…
A Quantum Inspired Approach to Exploit Turbulence Structures
Nikita Gourianov, Michael Lubasch, Sergey Dolgov +5
Understanding turbulence is the key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multi-scale nature, de…
Parallel time-dependent variational principle algorithm for matrix product states
Paul Secular, Nikita Gourianov, Michael Lubasch +3
Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group…
Dynamical regularities of US equities opening and closing auctions
Damien Challet, Nikita Gourianov
We first investigate the evolution of opening and closing auctions volumes of US equities along the years. We then report dynamical properties of pre-auction periods: the indicativ…