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53 papers · 1 filter
Quadratic Poisson brackets for the Camassa--Holm peakons
J. Avan, L. Frappat, E. Ragoucy
We establish quadratic Poisson brackets for the generalized Camassa--Holm peakon structure introduced in \cite{AFR23}. The calculation is based on the halving of the spectral param…
Unified theory of local integrals of motion
Ben Craps, Oleg Evnin, Dmitry Kovrizhin +1
Conservation laws are of paramount importance in our understanding of classical and quantum dynamics. Here, we present a general framework for constructing exact quantum integrals…
Statistical Inference in Large Multi-way Networks
Lucas Resende, Guillaume Lecué, Lionel Wilner +1
We propose the Polyads estimator, a new method to estimate structural parameters in weighted multi-way networks while controlling for rich, arbitrary structures of fixed effects. T…
Tetrahedral Core in a Sea of Competing Magnetic Phases in Graphene
Maxime Lucas, Arnaud Ralko, Andreas Honecker +1
We demonstrate the emergence of a robust tetrahedral magnetic ground state in monolayer graphene doped to the van Hove singularity (vHS). This noncoplanar, gapped spin configuratio…
Revivals and quantum carpets for the relativistic Schrödinger equation
Benoît Zumer, Florent Daem, Alexandre Matzkin
We investigate wavepacket dynamics for a relativistic particle in a box evolving according to the relativistic Schrödinger (also known as the Salpeter) equation. We derive the solu…
Neon is an inhibitor of CO hydrogenation in pre-stellar core conditions
Basile Husquinet, Julie Vitorino, Olli Sipilä +2
Neon (Ne) is the fifth most abundant element in the Universe. Because it is chemically inert, it has never been considered in astrochemical models that studied molecular evolution.…