Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
High-Order Sequential Simulation via Statistical Learning in Reproducing Kernel Hilbert Space. [PDF]
Math Geosci, 2020 Yao L, Dimitrakopoulos R, Gamache M.
europepmc +1 more source
The gravitational path integral from an observer’s point of view
Journal of High Energy PhysicsOne of the fundamental problems in quantum gravity is to describe the experience of a gravitating observer in generic spacetimes. In this paper, we develop a framework for describing non-perturbative physics relative to an observer using the ...
Ahmed I. Abdalla +3 more
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics. [PDF]
Entropy (Basel), 2020 Znojil M.
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Observers seeing gravitational Hilbert spaces: abstract sources for an abstract path integral
Journal of High Energy PhysicsThe gravitational path integral suggests a striking result: the Hilbert space of closed universes in each superselection sector, a so-called α-sector, is one-dimensional.
Hong Zhe Vincent Chen
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Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Advanced Quantum Technologies, EarlyView.Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
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Xuran Meng and Yi Li's contribution to the Discussion of "On optimal linear prediction" by I. Helland. [PDF]
Scand Stat Theory ApplScandinavian Journal of Statistics, EarlyView.
Meng X, Li Y.
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Advanced Quantum Technologies, EarlyView.Entanglement reveals hidden structure in quantum matter. We explore how quasi‐particles shape the crossover from area‐law to volume‐law entanglement, using models from spinless fermions to SYK. Our results show a striking linear growth of entanglement with energy, explained as a hallmark of quasi‐particles, offering new insight into the entanglement ...
Jagannath Sutradhar +4 more
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Hamiltonian Systems and Transformation in Hilbert Space.
Proceedings of the National Academy of Sciences of the United States of America, 1931 B. O. Koopman
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