Random walks on hypergraphs. (arXiv:1911.06523v1 [physics.soc-ph])

In the last twenty years network science has proven its strength in modelling many real-world interacting systems as generic agents, the nodes, connected by pairwise edges. Yet, in many relevant cases, interactions are not pairwise but involve larger sets of nodes, at a time. These systems are thus better described in the framework of hypergraphs,…

Comparison of counterstreaming suprathermal electron signatures of ICMEs with and without magnetic cloud: are all ICMEs flux ropes?. (arXiv:1911.06526v1 [physics.space-ph])

Magnetic clouds (MCs), as large-scale interplanetary magnetic flux ropes, are usually still connected to the sun at both ends near 1 AU. Many researchers believe that all non-MC interplanetary coronal mass ejections (ICMEs) also have magnetic flux rope structures, which are inconspicuous because the observing spacecraft crosses the flanks of the rope structures. If so,…

Dynamic Evolution of a Transient Supersonic Trailing Jet Induced by a Strong Incident Shock Wave. (arXiv:1911.06530v1 [physics.flu-dyn])

The dynamic evolution of a highly underexpanded transient supersonic jet at the exit of a pulse detonation engine is investigated via high-resolution time-resolved schlieren and numerical simulations. Experimental evidence is provided for the presence of a second triple shock configuration along with a shocklet between the reflected shock and the slipstream, which has no analogue…

Detecting regime transitions of the nocturnal and Polar boundary layer. (arXiv:1911.06533v1 [physics.ao-ph])

Many natural systems undergo critical transitions, i.e. sudden shifts from one dynamical regime to another. In the climate system, the atmospheric boundary layer can experience sudden transitions between fully turbulent states and quiescent, quasi-laminar states. Such rapid transitions are observed in Polar regions or at night when the atmospheric boundary layer is stably stratified, and…

Hypergraph Contextuality. (arXiv:1911.06448v1 [quant-ph])

Quantum contextuality is a source of quantum computational power and a theoretical delimiter between classical and quantum structures. It has been substantiated by numerous experiments and prompted generation of state independent contextual sets, that is, sets of quantum observables capable of revealing quantum contextuality for any quantum state of a given dimension. There are two…

Quadratic addition rules for three $q$-integers. (arXiv:1911.06449v1 [math.CO])

The $q$-integer is the polynomial $[n]_q = 1 + q + q^2 + \dots + q^{n-1}$. For every sequences of polynomials $\mathcal S = \{s_m(q)\}_{m=1}^\infty$, $\mathcal T = \{t_m(q)\}_{m=1}^\infty$, $\mathcal U = \{u_m(q)\}_{m=1}^\infty$ and $\mathcal V = \{v_m(q)\}_{m=1}^\infty$, define an addition rule for three $q$-integers by \oplus_{\mathcal S,\mathcal T,\mathcal U,\mathcal V} ([m]_q, [n]_q, [k]_q) =…

Holder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps. (arXiv:1911.06457v1 [math.DS])

We consider a class of systems which contains a set of piecewise partially hyperbolic dynamics semi-conjugated to non-uniformly expanding maps. The aimed transformation, preserves a foliation which is almost every uniformly contracted with possible discontinuity sets, which are parallel to the contracting direction. We prove that the associated transfer operator, acting on suitable anisotropic normed…

Distributed Nash equilibrium seeking for aggregative games via a small-gain approach. (arXiv:1911.06458v1 [math.OC])

Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is applicable to games with constrained strategy sets and weight-balanced communication graphs. We analyze the complex interaction of these dynamics with the help…

Controllability of the Voter Model: an information theoretic approach. (arXiv:1911.06540v1 [eess.SY])

We address the link between the controllability or observability of a stochastic complex system and concepts of information theory. We show that the most influential degrees of freedom can be detected without acting on the system, by measuring the time-delayed multi-information. Numerical and analytical results support this claim, which is developed in the case of…

Flexible Functional Split and Power Control for Energy Harvesting Cloud Radio Access Networks. (arXiv:1911.06463v1 [cs.NI])

Functional split is a promising technique to flexibly balance the processing cost at remote ends and the fronthaul rate in cloud radio access networks (C-RAN). By harvesting renewable energy, remote radio units (RRUs) can save grid power and be flexibly deployed. However, the randomness of energy arrival poses a major design challenge. To maximize the…