Abstract A key first step to constrain the impact of energetic particles in exoplanet atmospheres is detect chemical signature ionisation due stellar and Galactic cosmic rays. We focus on GJ 436, a well-studied M dwarf with warm Neptune-like exoplanet. demonstrate how maximum particle momentum can be estimated from X-ray luminosity. model transport through atmosphere hypothetical at orbital dis...

A Berge-path of length k in a hypergraph $$\mathcal H$$ is sequence $$v_1,e_1,v_2,e_2,\dots ,$$ $$v_{k},e_k,v_{k+1}$$ distinct vertices and hyperedges with $$v_{i+1}\in e_i,e_{i+1}$$ for all $$i\in [k]$$ . Füredi, Kostochka Luo, independently Győri, Salia Zamora determined the maximum number an n-vertex, connected, r-uniform that does not contain provided large enough compared to r. They also u...

Abstract Let f be analytic in the unit disk $${\mathbb {D}}=\{z\in {\mathbb {C}}:|z|&lt;1 \}$$ D = { z ∈ C : | &lt; 1 } </mml:mat...

We introduce the concept of exponentially $s$-convexity in second sense on a time scale interval. prove among other things that if $f: [a, b]\to \mathbb{R}$ is an $s$-convex function, then \begin{align*} &amp;amp;\frac{1}{b-a}\int_a^b f(t)\Delta t\\ &amp;amp;\leq \frac{f(a)}{e_{\beta}(a, x_0) (b-a)^{2s}}(h_2(a, b))^s+\frac{f(b)}{e_{\beta}(b, (b-a)^{2s}}(h_2(b, a))^s, \end{align*} where $\beta$ ...

This paper presents an explicit solution to decentralized control of a class of spatially invariant systems. The problem of optimal H2 decentralized control for cone causal systems is formulated. Using Parseval’s identity, the optimal H2 decentralized control problem is transformed into an infinite number of model matching problems with a specific structure that can be solved efficiently. In ad...

Brightest cluster galaxies (BCGs) are among the most massive in Universe. Their star formation (SF) history and stellar mass assembly debated. Recent studies suggest presence of an emerging population intermediate-$z$ forming gas-rich BCGs, where molecular gas reservoirs impacted by strong environmental processing. We have selected three star-forming $z\sim0.4$ BCGs Kilo-Degree Survey (KiDS), o...