We present the discovery of a transiting mini-Neptune around TOI-1201, relatively bright and moderately young early M dwarf ($J \approx$ 9.5 mag, $\sim$600-800 Myr) in an equal-mass $\sim$8 arcsecond-wide binary system, using data from Transiting Exoplanet Survey Satellite (TESS), along with follow-up transit observations. With orbital period 2.49 d, TOI-1201 b is warm radius $R_\mathrm{b} = 2....

Gas has been detected in many exoplanetary systems ($>$10 Myr), thought to be released the destruction of volatile-rich planetesimals orbiting exo-Kuiper belts. In this letter, we aim explore whether gas is also expected Kuiper belt (KB) our Solar System. To quantify release System, use models for that have applied extrasolar planetary systems, as well a physical model accounts due progressive ...

Abstract We study the action of a real reductive group G on submanifold X Kähler manifold Z . suppose that compact connected Lie U with algebra $\mathfrak {u}$ extends holomorphically to an complexified $U^{\mathbb {C}}$ and -action is Hamiltonian. If $G\subset U^{\mathbb compatible, there exists gradient map $\mu _{\mathfrak p}:X \longrightarrow \mathfrak p$ where g=\mathfrak k \oplus Cartan d...

The HD108236 system was first announced with the detection of four small planets based on TESS data. Shortly after, transit an additional planet a period 29.54d serendipitously detected by CHEOPS. In this way, (V=9.2) became one brightest stars known to host five transiting (R$_p$<3R$_{\oplus}$). We characterize planetary using all data available from CHEOPS and space missions. use flexible poi...

In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence disjoint frequently hypercyclic operators which fail to be weakly mixing and, therefore, satisfy Disjoint Hypercyclicity Criterion. We also show that given an operator $T$ such $T \oplus T$ is hypercyclic, set $S$ $T, S$ are but Criterion SOT dense in algeb...

In this paper, we study the distributions and affine of quantum mechanical system. Also, discuss controllability system with related question concerning minimum time needed to steer a from unitary evolution $U(0)=I$ propagator desired $U_f$. Furthermore, paper introduces description $\mathfrak{k} \oplus \mathfrak{p}$ sub-Finsler manifold its geodesics, which equivalents problem driving an arbit...

Abstract In this paper, we classify the three-dimensional partially hyperbolic diffeomorphisms whose stable, unstable, and central distributions $E^s$ , $E^u$ $E^c$ are smooth, such that $E^s\oplus E^u$ is a contact distribution, non-wandering set equals whole manifold. We prove up to finite quotient or power, they smoothly conjugated either time-map of an algebraic contact-Anosov flow, affine ...

In this note we show that the second homotopy group of B(2, G), classifying space for commutativity a compact Lie G, contains direct summand isomorphic to $$\pi _1(G)\oplus \pi _1([G,G])$$ , where [G, G] is commutator subgroup G. It follows from similar statement E(2, fiber canonical inclusion $$B(2,G)\hookrightarrow BG$$ . As consequence our main result obtain if G) 2-connected, then simply-co...

We define the angle of a bounded linear operator A along curve emanating from origin and use it to characterize range-kernel complementarity. In particular we show that if $$\sigma (A)$$ does not separate 0 $$\infty $$ , then $$X=R(A)\oplus N(A)$$ only R(A) is closed some less than $$\pi . first apply this result invertible operators have spectral set Next extend notion Banach algebras prove tw...

ABSTRACT We present ground- and space-based photometric observations of TOI-270 (L231-32), a system three transiting planets consisting one super-Earth two sub-Neptunes discovered by TESS around bright (K-mag = 8.25) M3V dwarf. The orbit near low-order mean-motion resonances (5:3 2:1) are thus expected to exhibit large transit timing variations (TTVs). Following an extensive observing campaign ...