We report the discovery and characterisation of two Earth-mass planets orbiting in habitable zone nearby M-dwarf GJ~1002 based on analysis radial-velocity (RV) time series from ESPRESSO CARMENES spectrographs. The host star is quiet M5.5~V (relatively faint optical, $V \sim 13.8$ mag, but brighter infrared, $J 8.3$ mag), located at 4.84 pc Sun. analyse 139 spectroscopic observations taken betwe...

We present the TESS discovery of LHS 1678 (TOI-696) exoplanet system, comprised two approximately Earth-sized transiting planets and a likely astrometric brown dwarf orbiting bright ($V_J$=12.5, $K_s$=8.3) M2 at 19.9 pc. The TESS-detected are radius 0.70$\pm$0.04 $R_\oplus$ 0.98$\pm$0.06 in 0.86-day 3.69-day orbits, respectively. Both validated characterized via ground-based follow-up observati...

Aims. A transiting planet candidate with a sub-Neptune radius orbiting the nearby ($d$ = 51.9$\pm$0.07 pc) M1.5 V star TOI-1470 period of $\sim$2.5 d was announced by NASA Transiting Exoplanet Survey Satellite (TESS), which observed field in four different sectors. We aim to validate its planetary nature using precise radial velocities (RVs) taken CARMENES spectrograph. Methods. obtained 44 RV ...

We present a framework for estimating exoplanet occurrence rates by synthesizing constraints from radial velocity and transit surveys simultaneously. employ approximate Bayesian computation various mass-radius (M-R) relations to explore the population models describing these surveys, both separately in joint fit. Using this approach, we fit planet distribution function of form $d^{2} N/d\log{P}...

We present the complete Bayesian statistical analysis of HArps-n red Dwarf Exoplanet Survey (HADES), which monitored radial velocities a large sample M dwarfs with HARPS-N at TNG, over last 6 years. The targets were selected in narrow range spectral types from M0 to M3, $0.3$ M$_\odot < M_\star 0.71$ M$_\odot$, order study planetary population around well-defined class host stars. take advantag...

Given a finite dimensional Lie algebra $L$ let $I$ be the augmentation ideal in universal enveloping $U(L)$. We study conditions on under which $Ext$-groups $Ext (k,k)$ for trivial $L$-module $k$ are same when computed category of all $U(L)$-modules or $I$-torsion $U(L)$-modules. also prove that Rees $\oplus _{n\geq 0}I^n$ is Noetherian if and only nilpotent. An application to cohomology equiva...

Let $\mathbf L_k$ be the holomorphic line bundle of degree $k \in \mathbb Z$ on projective line. Here, tuples $(k_1 k_2 k_3 k_4)$ for which there does not exists homogeneous non-split supermanifolds $CP^{1|4}_{k_1 k_4}$ associated with vector L_{−k_1} \oplus \mathbf L _{−k_2} L_{−k_3} L_{−k_4}$ are classified. \\For many types remaining tuples, listed cocycles that determine supermanifolds. \\P...

Based on Morse theory for the energy functional path spaces we develop a deformation mapping of spheres into orthogonal groups. This is used to show that these are weakly homotopy equivalent, in stable range, associated Clifford representations. Given an oriented Euclidean bundle $V \to X$ rank divisible by four over finite complex $X$ derive decomposition result vector bundles sphere $\mathord...

In this paper we continue our classification of regular solutions the Yang-Baxter equation using method based on spin chain boost operator developed in \cite{deLeeuw:2019zsi}. We provide details how to find all non-difference form and apply chains with local Hilbert space dimensions two, three four. classify $16\times 16$ which exhibit $\mathfrak{su}(2)\oplus \mathfrak{su}(2)$ symmetry, include...

Abstract We describe a new transit-detection algorithm designed to detect single-transit events in discontinuous Perkins INfrared Exosatellite Survey (PINES) observations of L and T dwarfs. use this search for transits 131 PINES light curves identify two transit candidates: 2MASS J18212815+1414010 (2MASS J1821+1414) J08350622+1953050 J0835+1953). disfavor J1821+1414 as genuine candidate due the...