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Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operatorsJul 07 2014In this paper first we describe all (not necessarily linear or bijective) transformations on $\mathbb{R}^d$ with $2\leq d<\infty$ which preserve the area of parallelograms spanned by any two vectors. We also characterize those (not necessarily linear) ... More

Rigid cohomology over Laurent series fields II: Finiteness and Poincaré duality for smooth curvesDec 17 2014Mar 11 2015In this paper we prove that the $\mathcal{E}^\dagger_K$-valued cohomology, introduced in [9] is finite dimensional for smooth curves over Laurent series fields $k((t))$ in positive characteristic, and forms an $\mathcal{E}^\dagger_K$-lattice inside `classical' ... More

Is it possible to determine a point lying in a simplex if we know the distances from the vertices?Jul 15 2015Apr 02 2016It is an elementary fact that if we fix an arbitrary set of $d+1$ affine independent points $\{p_0,\dots p_d\}$ in $\mathbb{R}^d$, then the Euclidean distances $\{|x-p_j|\}_{j=0}^d$ determine the point $x$ in $\mathbb{R}^d$ uniquely. In this paper we ... More

A class of genuinely high-dimensionally entangled states with a positive partial transposeApr 17 2019Entangled states with a positive partial transpose (so-called PPT states) are central to many interesting problems in quantum theory. On one hand, they are considered to be weakly entangled, since no pure state entanglement can be distilled from them. ... More

Maps on classes of Hilbert space operators preserving measure of commutativityJul 03 2014In this paper first we give a partial answer to a question of L. Moln\'ar and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm ... More

Cepheids with the eyes of photometric space telescopesMar 07 2017Space photometric missions have been steadily accumulating observations of Cepheids in recent years, leading to a flow of new discoveries. In this short review we summarize the findings provided by the early missions such as WIRE, MOST, and CoRoT, and ... More

The radius of starlikeness of normalized Bessel functions of the first kindFeb 07 2012In this note our aim is to determine the radius of starlikeness of the normalized Bessel functions of the first kind for three different kinds of normalization. The key tool in the proof of our main result is the Mittag-Leffler expansion for Bessel functions ... More

Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalitiesDec 28 2007Apr 16 2008We have determined numerically the maximum quantum violation of over 100 tight bipartite Bell inequalities with two-outcome measurements by each party on systems of up to four dimensional Hilbert spaces. We have found several cases, including the ones ... More

Maximal violation of the I3322 inequality using infinite dimensional quantum systemsJun 15 2010The I3322 inequality is the simplest bipartite two-outcome Bell inequality beyond the Clauser-Horne-Shimony-Holt (CHSH) inequality, consisting of three two-outcome measurements per party. In case of the CHSH inequality the maximal quantum violation can ... More

Stabilization Time in Weighted Minority ProcessesFeb 04 2019A minority process in a weighted graph is a dynamically changing coloring. Each node repeatedly changes its color in order to minimize the sum of weighted conflicts with its neighbors. We study the number of steps until such a process stabilizes. Our ... More

Some results and problems for anisotropic random walks on the planeJan 13 2015This is an expository paper on the asymptotic results concerning path behaviour of the anisotropic random walk on the two-dimensional square lattice Z^2. In recent years Mikl\'os and the authors of the present paper investigated the properties of this ... More

Analysis of radial velocity variations in multiple planetary systemsMay 27 2010The study of multiple extrasolar planetary systems has the opportunity to obtain constraints for the planetary masses and orbital inclinations via the detection of mutual perturbations. The analysis of precise radial velocity measurements might reveal ... More

Some limit theorems for heights of random walks on spiderDec 17 2014Jul 01 2015A simple symmetric random walk is considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We establish a strong approximation of this random walk by the so-called Brownian spider. Transition probabilities are ... More

Coloring the $n$-smooth numbers with $n$ colorsFeb 01 2019For which values of $n$ can we color the positive integers with precisely $n$ colors in such a way that for any $a$, the numbers $a,2a,\dots,na$ all get different colors? Pach posed the question around 2008-9. Particular cases appeared in K\"oMaL in April ... More

Lie-series for orbital elements -- II. The spatial caseJan 11 2016If one has to attain high accuracy over long timescales during the numerical computation of the N-body problem, the method called Lie-integration is one of the most effective algorithms. In this paper we present a set of recurrence relations with which ... More

Properties of analytic transit light curve modelsMay 14 2008Jul 17 2008In this paper a set of analytic formulae are presented with which the partial derivatives of the flux obscuration function can be evaluated -- for planetary transits and eclipsing binaries -- under the assumption of quadratic limb darkening. The knowledge ... More

Light curve modelling for mutual transitsNov 07 2011In this paper we describe an algorithm and deduce the related mathematical formulae that allows the computation of observed fluxes in stellar and planetary systems with arbitrary number of bodies being part of a transit or occultation event. The presented ... More

Tools for discovering and characterizing extrasolar planetsJun 18 2009Among the group of extrasolar planets, transiting planets provide a great opportunity to obtain direct measurements for the basic physical properties, such as mass and radius of these objects. These planets are therefore highly important in the understanding ... More

An analytical solution for Kepler's problemApr 02 2009In this paper we present a framework which provides an analytical (i.e., infinitely differentiable) transformation between spatial coordinates and orbital elements for the solution of the gravitational two-body problem. The formalism omits all singular ... More

Lie-series for orbital elements -- I. The planar caseMar 31 2014Lie-integration is one of the most efficient algorithms for numerical integration of ordinary differential equations if high precision is needed for longer terms. The method is based on the computation of the Taylor-coefficients of the solution as a set ... More

Photometry of a photometerMar 31 2011Apr 01 2011In this draft photometry and astrometry is presented from the Herschel Space Observatory (HSO). This spacecraft orbits the second Lagrangian point (L2) of the Sun -- Earth system, yielding a mean distance of a million miles (~ 1.5 million kms) for HSO. ... More

Pathologies of the Brauer-Manin obstructionOct 18 2013Sep 20 2015We construct a conic bundle over an elliptic curve over a real quadratic field that is a counterexample to the Hasse principle not explained by the \'etale Brauer-Manin obstruction. We also give simple examples of threefolds with the same property that ... More

The weakening outburst of the young eruptive star V582 AurFeb 10 2019V582 Aur is a pre-main sequence FU Orionis type eruptive star, which entered a brightness minimum in 2016 March due to changes in the line-of-sight extinction. Here, we present and analyze new optical $B$, $V$, $R_C$ and $I_C$ band multiepoch observations ... More

Iterated line integrals over Laurent series fields of characteristic pMar 17 2017Inspired by Besser's work on Coleman integration, we use $\nabla$-modules to define iterated line integrals over Laurent series fields of characteristic $p$ taking values in double cosets of unipotent $n\times n$ matrices with coefficients in the Robba ... More

FITSH -- a software package for image processingNov 08 2011In this paper we describe the main features of the software package named FITSH, intended to provide a standalone environment for analysis of data acquired by imaging astronomical detectors. The package provides utilities both for the full pipeline of ... More

Random walk local time approximated by a Wiener sheet combined with an independent Brownian motionSep 04 2007Let $\xi(k,n)$ be the local time of a simple symmetric random walk on the line. We give a strong approximation of the centered local time process $\xi(k,n)-\xi(0,n)$ in terms of a Wiener sheet and an independent Wiener process, time changed by an independent ... More

Frequently visited sets for random walksDec 01 2004We study the occupation measure of various sets for a symmetric transient random walk in $Z^d$ with finite variances. Let $\mu^X_n(A)$ denote the occupation time of the set $A$ up to time $n$. It is shown that $\sup_{x\in Z^d}\mu_n^X(x+A)/\log n$ tends ... More

Spin-orbit resonance, transit duration variation and possible secular perturbations in KOI-13Oct 19 2011Jan 09 2012KOI-13 is the first known transiting system exhibiting light curve distortions due to gravity darkening of the rapidly rotating host star. In this paper we analyze publicly available Kepler Q2--Q3 short-cadence observations, detecting a continuous light ... More

Spots, flares, accretion, and obscuration in the pre-main sequence binary DQ TauJun 05 2018DQ Tau is a young low-mass spectroscopic binary, consisting of two almost equal-mass stars on a 15.8 d period surrounded by a circumbinary disk. Here, we analyze DQ Tau's light curves obtained by Kepler K2, the Spitzer Space Telescope, and ground-based ... More

Pushing the limits, episode 2: K2 observations of extragalactic RR Lyrae stars in the dwarf galaxy Leo IVAug 23 2015We present the first observations of extragalactic pulsating stars in the K2 ecliptic survey of the Kepler space telescope. Variability of all three RR Lyrae stars in the dwarf spheroidal galaxy Leo IV were successfully detected, at a brightness of Kp~21.5 ... More

Asymptotic Behaviour and Cyclic Properties of Weighted Shifts on Directed TreesJan 23 2014Apr 02 2016In this paper we investigate a new class of operators called weighted shifts on directed trees introduced recently in [Z. J. Jablonski, I. B. Jung and J. Stochel, A Non-hyponormal Operator Generating Stieltjes Moment Sequences, J. Funct. Anal. 262 (2012), ... More

Automorphisms of perfect complexesJan 21 2019Automorphisms of a perfect complex naturally have the structure of an $\infty$-group: the 1-morphisms are quasi-isomorphisms, the 2-morphisms are homotopies, etc. This article starts by proving some basic properties of this $\infty$-group. We go on to ... More

Characterisation of Cesàro and $L$-Asymptotic Limits of MatricesJul 04 2014The main goal of this paper is to characterise all the possible Ces\`aro and $L$-asymptotic limits of powerbounded, complex matrices. The investigation of the $L$-asymptotic limit of a powerbounded operator goes back to Sz.-Nagy and it shows how the orbit ... More

Rigid cohomology over Laurent series field I: First definitions and basic propertiesNov 25 2014Mar 11 2015This is the first in a series of papers in which we construct and study a new $p$-adic cohomology theory for varieties over Laurent series fields $k(\!(t)\!)$ in characteristic $p$. This will be a version of rigid cohomology, taking values in the bounded ... More

Limits on Transit Timing Variations in HAT-P-6 and WASP-1Jan 18 2010We detected the transit of HAT-P-6b at HJD 2454698.3908 +/- 0.0011 and that of WASP-1b at HJD 2454774.3448 +/- 0.0023. The updated orbital periods of the planets are 3.852992 +/- 0.000005 days (HAT-P-6b) and 2.519970 +/- 0.000003 days (WASP-1b). There ... More

Pushing the limits: K2 observations of the trans-Neptunian objects 2002 GV31 and (278361) 2007 JJ43Apr 14 2015Apr 15 2015We present the first photometric observations of trans-Neptunian objects (TNOs) taken with the Kepler space telescope, obtained in the course of the K2 ecliptic survey. Two faint objects have been monitored in specifically designed pixel masks that were ... More

An improved upper bound for the size of the multiplicative 3-Sidon setsJan 26 2018We say that a set is a multiplicative 3-Sidon set if the equation $s_1s_2s_3=t_1t_2t_3$ does not have a solution consisting of distinct elements taken from this set. In this paper we show that the size of a multiplicative 3-Sidon subset of $\{1,2,\dots,n\}$ ... More

Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz $(1,1)$ theoremJan 18 2017Feb 25 2019In this article we prove a semistable version of the variational Tate conjecture for divisors in crystalline cohomology, stating that a rational (logarithmic) line bundle on the special fibre of a semistable scheme over $k [\![ t ]\!]$ lifts to the total ... More

Rigid cohomology over Laurent series fields III: Absolute coefficients and arithmetic applicationsMar 09 2015In this paper we investigate the arithmetic aspects of the theory of $\mathcal{E}_K^\dagger$-valued rigid cohomology introduced and studied in [11,12]. In particular we show that these cohomology groups have compatible connections and Frobenius structures, ... More

Theory of fission detector signals in reactor measurements - detailed calculationsAug 20 2015Aug 22 2015The Campbell theorem, relating the variance of the current of a fission chamber (a "filtered Poisson process") to the intensity of the detection events and to the detector pulse shape, becomes invalid when the neutrons generating the fission chamber current ... More

Periastron Precession Measurements in Transiting Extrasolar Planetary Systems at the Level of General RelativityJun 04 2008Transiting exoplanetary systems are surpassingly important among the planetary systems since they provide the widest spectrum of information for both the planet and the host star. If a transiting planet is on an eccentric orbit, the duration of transits ... More

Positive operators arising asymptotically from contractionsJul 04 2014In this paper we characterize those positive operators which are asymptotic limits of contractions in strong operator topology or uniform topology. We examine the problem when the asymptotic limits of two contractions coincide.

Rank 2 local systems and abelian varietiesSep 06 2018Oct 11 2018Let $X/\mathbb{F}_q$ be a smooth, geometrically connected variety. Inspired by work of Corlette-Simpson over $\mathbb{C}$, we formulate a conjecture that absolutely irreducible rank 2 local systems with infinite monodromy on $X$ "come from families of ... More

Symmetries of projective spaces and spheresJun 11 2016Let $H$ be either a complex inner product space of dimension at least two, or a real inner product space of dimension at least three. Let us fix an $\alpha\in \left(0,\tfrac{\pi}{2}\right)$. The purpose of this paper is to characterize all bijective transformations ... More

Coin Betting and Parameter-Free Online LearningFeb 12 2016Nov 04 2016In the recent years, a number of parameter-free algorithms have been developed for online linear optimization over Hilbert spaces and for learning with expert advice. These algorithms achieve optimal regret bounds that depend on the unknown competitors, ... More

Surjective Kuiper isometriesJun 21 2016Characterizations of surjective isometries with respect to the Kuiper distance on three classes of Borel probability measures of $\mathbb{R}$ (or equivalently, probability distribution functions) are presented here. These classes are the set of continuous, ... More

Possibility of microscopic liquid water formation at landing sites on Mars and their observational potentialSep 26 2016Microscopic liquid brines, especially calcium-perchlorate could emerge by deliquescence on Mars during night time hours. Using climate model computations and orbital humidity observations, the ideal periods and their annual plus daily characteristics ... More

Asymptotic behaviour of Hilbert space operators with applicationsMay 27 2015This dissertation summarizes my investigations in operator theory during my PhD studies. The first chapter is an introduction to that field of operator theory which was developed by B. Sz.-Nagy and C. Foias, the theory of power-bounded Hilbert space operators. ... More

A contribution to the Aleksandrov conservative distance problem in two dimensionsMay 03 2015Let $E$ be a two-dimensional real normed space. In this paper we show that if the unit circle of $E$ does not contain any line segment such that the distance between its endpoints is greater than 1, then every transformation $\phi\colon E\to E$ which ... More

A homotopy exact sequence for overconvergent isocrystalsApr 25 2017In this article we prove exactness of the homotopy sequence of overconvergent $p$-adic fundamental groups for a smooth and projective morphism in characteristic $p$. We do so by first proving a corresponding result for rigid analytic varieties in characteristic ... More

First observations of W Virginis stars with K2: detection of period doublingOct 18 2016We present the first analysis of W Vir stars observed by the Kepler space telescope in the K2 mission. Clear cycle-to-cycle variation were detected in the light curves of KT Sco and the globular cluster member M80-V1. While the variations in the former ... More

Evidence for fresh frost layer on the bare nucleus of comet Hale--Bopp at 32 AU distanceOct 10 2012Here we report that the activity of comet Hale--Bopp ceased between late 2007 and March, 2009, at about 28 AU distance from the Sun. At that time the comet resided at a distance from the Sun that exceeded the freeze-out distance of regular comets by an ... More

A Photometric Variability Survey of Field K and M Dwarf Stars with HATNetJul 16 2009Feb 02 2011Using light curves from the HATNet survey for transiting extrasolar planets we investigate the optical broad-band photometric variability of a sample of 27,560 field K and M dwarfs selected by color and proper-motion. A total of 2120 stars exhibit potential ... More

The heart of the swarm: K2 photometry and rotational characteristics of 56 Jovian Trojan asteroidsSep 09 2016We present fully covered phased light curves for 56 Jovian Trojan asteroids as acquired by the K2 mission of the Kepler space telescope. This set of objects has been monitored during Campaign 6 and represents a nearly unbiased subsample of the population ... More

Uninterrupted optical light curves of main-belt asteroids from the K2 MissionSep 09 2016Due to the failure of the second reaction wheel, a new mission was conceived for the otherwise healthy Kepler space telescope. In the course of the K2 Mission, the telescope is staring at the plane of the Ecliptic, hence thousands of Solar System bodies ... More

Scale-Free Online LearningJan 08 2016We design algorithms for online linear optimization that have optimal regret and at the same time do not need to know any upper or lower bounds on the norm of the loss vectors. We achieve adaptiveness to the norms of the loss vectors by scale invariance, ... More

Determination of Conjugacy Class Sizes from Products of CharactersSep 17 2012Robinson showed that the character degrees are determined by knowing, for all $n$, the number of ways that the identity can be expressed as a product of $n$ commutators. Earlier, Strunkov showed that the existence of characters of $p$-defect 0 can be ... More

Bilateral weighted shift operators similar to normal operatorsJun 05 2015We prove that an injective, not necessarily bounded weighted bilateral shift operator on $\ell^2(\mathbb{Z})$ is similar to a normal operator if and only if it is similar to a scalar multiple of the simple (i.e. unweighted) bilateral shift operator $S$. ... More

Asymptotic limits of operators similar to normal operatorsJul 02 2014Sep 14 2014Sz.-Nagy's famous theorem states that a bounded operator $T$ which acts on a complex Hilbert space $\mathcal{H}$ is similar to a unitary operator if and only if $T$ is invertible and both $T$ and $T^{-1}$ are power bounded. There is an equivalent reformulation ... More

Surjective Kuiper isometriesJun 21 2016Jan 21 2017Characterizations of surjective isometries with respect to the Kuiper distance on three classes of Borel probability measures of $\mathbb{R}$ (or equivalently, probability distribution functions) are presented here. These classes are the set of continuous, ... More

Generalized Clauser-Horne-Shimony-Holt inequalities maximally violated by higher dimensional systemsDec 27 2007Apr 16 2008Imagine two parties, Alice and Bob who share an entangled quantum state. A well-established result that if Alice performs two-outcome measurement on the portion of the state in her possession and Bob does likewise, they are able to produce correlations ... More

Concavity of the quantum body for any given dimensionMay 18 2009Let us consider the set of all joint probabilities generated by local binary measurements on two separated quantum systems of a given local dimension d. We address the question of whether the shape of this quantum body is convex or not. We construct a ... More

Isometries of Grassmann spacesJun 30 2015Apr 02 2016Botelho, Jamison, and Moln\' ar have recently described the general form of surjective isometries of Grassmann spaces on complex Hilbert spaces under certain dimensionality assumptions. In this paper we provide a new approach to this problem which enables ... More

Bounding the dimension of bipartite quantum systemsDec 09 2008Aug 27 2009Let us consider the set of joint quantum correlations arising from two-outcome local measurements on a bipartite quantum system. We prove that no finite dimension is sufficient to generate all these sets. We approach the problem in two different ways ... More

Quantum Bounds on Bell inequalitiesOct 09 2008Mar 02 2014We have determined the maximum quantum violation of 241 tight bipartite Bell inequalities with up to five two-outcome measurement settings per party by constructing the appropriate measurement operators in up to six-dimensional complex and eight-dimensional ... More

Multiplicative bases and an Erdős problemFeb 22 2016In this paper we investigate how small the density of a multiplicative basis of order $h$ can be in $\{1,2,\dots,n\}$ and in $\mathbb{Z}^+$. Furthermore, a related problem of Erd\H os is also studied: How dense can a set of integers be, if none of them ... More

Caps and progression-free sets in $\mathbb{Z}_m^n$Mar 19 2019We study progression-free sets in the abelian groups $G=(\mathbb{Z}_m^n,+)$. Let $r_k(\mathbb{Z}_m^n)$ denote the maximal size of a set $S \subset \mathbb{Z}_m^n$ that does not contain a proper arithmetic progression of length $k$. We give lower bound ... More

Nereid from space: Rotation, size and shape analysis from Kepler/K2, Herschel and Spitzer observationsJan 11 2016In this paper we present an analysis of Kepler K2 mission Campaign 3 observations of the irregular Neptune satellite, Nereid. We determined a rotation period of P=11.594(+/-)0.017 h and amplitude of dm=0.0328(+/-)00018, confirming previous short rotation ... More

The contact binary VW Cephei revisited: surface activity and period variationJan 18 2018Context. Despite the fact that VW Cephei is one of the well-studied contact binaries in the literature, there is no fully consistent model available that can explain every observed property of this system. Aims. Our motivation is to obtain new spectra ... More

Main-Belt Asteroids in the K2 Engineering Field of ViewJan 23 2015Unlike NASA's original Kepler Discovery Mission, the renewed K2 Mission will stare at the plane of the Ecliptic, observing each field for approximately 75 days. This will bring new opportunities and challenges, in particular the presence of a large number ... More

Main-belt asteroids in the K2 Uranus fieldJun 19 2017Dec 13 2017We present the K2 light curves of a large sample of untargeted Main Belt asteroids (MBAs) detected with the Kepler space telescope. The asteroids were observed within the Uranus superstamp, a relatively large, continuous field with low stellar background ... More

The number of multiplicative Sidon sets of integersAug 19 2018A set $S$ of natural numbers is multiplicative Sidon if the products of all pairs in $S$ are distinct. Erd\H{o}s in 1938 studied the maximum size of a multiplicative Sidon subset of $\{1,\ldots, n\}$, which was later determined up to the lower order term: ... More

On infinite multiplicative Sidon setsSep 11 2017We prove that if $A$ is an infinite multiplicative Sidon set, then $\liminf\limits_{n\to \infty}\frac{|A(n)|-\pi (n)}{\frac{n^{3/4}}{(\log n)^3}}<\infty$ and construct an infinite multiplicative Sidon set satisfying $\liminf\limits_{n\to \infty}\frac{|A(n)|-\pi ... More

A characterisation of isometries with respect to the Lévy-Prokhorov metricJan 16 2017Sep 12 2017According to the fundamental work of Yu.V. Prokhorov, the general theory of stochastic processes can be regarded as the theory of probability measures in complete separable metric spaces. Since stochastic processes depending upon a continuous parameter ... More

The outburst and nature of two young eruptive stars in the North America/Pelican Nebula ComplexNov 17 2010Jan 17 2011Context. In August 2010, the sudden optical brightening of two young stellar objects, located in the North America/Pelican Nebula Complex, was announced. Early observations indicated that these objects may belong to the FUor or EXor class of young eruptive ... More

Optimized Herschel/PACS photometer observing and data reduction strategies for moving solar system targetsSep 17 2013Sep 19 2013The "TNOs are Cool!: A survey of the trans-Neptunian region" is a Herschel Open Time Key Program that aims to characterize planetary bodies at the outskirts of the Solar System using PACS and SPIRE data, mostly taken as scan-maps. In this paper we summarize ... More

HATNet Field G205: Follow-Up Observations of 28 Transiting-Planet candidates and Confirmation of the Planet HAT-P-8bDec 05 2008We report the identification of 32 transiting-planet candidates in HATNet field G205. We describe the procedures that we have used to follow up these candidates with spectroscopic and photometric observations, and we present a status report on our interpretation ... More

Estimation of Rényi Entropy and Mutual Information Based on Generalized Nearest-Neighbor GraphsMar 09 2010Oct 25 2010We present simple and computationally efficient nonparametric estimators of R\'enyi entropy and mutual information based on an i.i.d. sample drawn from an unknown, absolutely continuous distribution over $\R^d$. The estimators are calculated as the sum ... More

On the behavior of random walk around heavy pointsMay 09 2006Mar 13 2007Consider a symmetric aperiodic random walk in $Z^d$, $d\geq 3$. There are points (called heavy points) where the number of visits by the random walk is close to its maximum. We investigate the local times around these heavy points and show that they converge ... More

Heavy points of a d-dimensional simple random walkApr 12 2005For a simple symmetric random walk in dimension $d\geq 3$, a uniform strong law of large numbers is proved for the number of sites with given local time up to time $n$.

Non-covalent quantum machine learning corrections to density functionalsMar 21 2019We present non-covalent machine learning corrections to six physically motivated density functionals with systematic errors. We demonstrate that the missing physics can be recovered by the machine learning corrections. The models account for various types ... More

Transient nearest neighbor random walk and Bessel processFeb 06 2008We prove strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times. It is also shown that their local times are close enough to share the ... More

Searching for effects caused by thunderstorms in midlatitude sporadic E layersAug 01 2017Possible thunderstorm - sporadic E (Es) layer coupling effects are investigated during two measurement periods, one in 2013 and one in 2014. The analysis was based on ionospheric observations obtained from a Digisonde at Pruhonice, the Czech Republic, ... More

Polynomial Schur's theoremNov 13 2018We resolve the Ramsey problem for $\{x,y,z:x+y=p(z)\}$ for all polynomials $p$ over $\mathbb{Z}$.

The information-theoretic value of unlabeled data in semi-supervised learningJan 16 2019We quantify the separation between the numbers of labeled examples required to learn in two settings: Settings with and without the knowledge of the distribution of the unlabeled data. More specifically, we prove a separation by $\Theta(\log n)$ multiplicative ... More

Large time asymptotics for the density of a branching Wiener processSep 26 2004Given an R^d-valued supercritical branching Wiener process, let D(A,T) be the number of particles in a subset A of R^d at time T, (T=0,1,2,...). We provide a complete asymptotic expansion of D(A,T) as T goes to infinity, generalizing the work of X.Chen. ... More

Pressure Profile Calculation with Mesh Ewald MethodsJun 01 2017The importance of calculating pressure profiles across liquid interfaces is increasingly gaining recognition, and efficient methods for the calculation of long-range contributions are fundamental in addressing systems with a large number of charges. Here, ... More

On the number of cutpoints of the transient nearest neighbor random walk on the lineOct 17 2008Dec 17 2008We consider transient nearest neighbor random walks on the positive part of the real line. We give criteria for the finiteness of the number of cutpoints and strong cutpoints. Examples and open problems are presented.

On isometric embeddings of Wasserstein spaces -- the discrete caseSep 04 2018The aim of this short paper is to offer a complete characterization of all (not necessarily surjective) isometric embeddings of the Wasserstein space $\mathcal{W}_p(\mathcal{X})$, where $\mathcal{X}$ is a countable discrete metric space and $0<p<\infty$ ... More

Joint asymptotic behavior of local and occupation timesNov 02 2005Considering a simple symmetric random walk in dimension $d\geq 3$, we study the almost sure joint asymptotic behavior of two objects: first the local times of a pair of neighboring points, then the local time of a point and the occupation time of the ... More

The number of maximum primitive sets of integersMay 16 2018Jun 26 2018A set of integers is \emph{primitive} if it does not contain an element dividing another. Denote by $f(n)$ the number of maximum-size primitive subsets of $\{1,\ldots, 2n\}$. We prove that the limit $\alpha=\lim_{n\rightarrow \infty}f(n)^{1/n}$ exists. ... More

Transposable character tables, dual groupsDec 27 2012Feb 01 2013One way of expressing the self-duality $A\cong \Hom(A,\mathbb{C})$ of Abelian groups is that their character tables are self-transpose (in a suitable ordering). Noncommutative groups fail to satisfy this property. In this paper we extend the duality to ... More

A peculiar young eruptive star in the dark cloud Lynds 1340Apr 13 2011We conducted a long-term optical photometric and spectroscopic monitoring of the strongly variable, accreting young sun-like star [KOS94] HA11, associated with the dark cloud Lynds 1340, that exhibited large amplitude (5-6 magnitudes in the I_C band) ... More

Refined stellar, orbital and planetary parameters of the eccentric HAT-P-2 planetary systemAug 12 2009Oct 08 2009We present refined parameters for the extrasolar planetary system HAT-P-2 (also known as HD 147506), based on new radial velocity and photometric data. HAT-P-2b is a transiting extrasolar planet that exhibits an eccentric orbit. We present a detailed ... More

"TNOs are Cool": A survey of the trans-Neptunian region XIV. Size/albedo characterization of the Haumea family observed with Herschel and SpitzerApr 12 2019A group of trans-Neptunian objects (TNO) are dynamically related to the dwarf planet 136108 Haumea. Ten of them show strong indications of water ice on their surfaces, are assumed to have resulted from a collision, and are accepted as the only known TNO ... More

"TNOs are Cool": A survey of the trans-Neptunian region X. Analysis of classical Kuiper belt objects from Herschel and Spitzer observationsMar 25 2014The classical Kuiper belt contains objects both from a low-inclination, presumably primordial, distribution and from a high-inclination dynamically excited population. Based on a sample of classical TNOs with observations at thermal wavelengths we determine ... More

Physical properties of the extreme centaur and super-comet candidate 2013 AZ60Jul 20 2015We present estimates of the basic physical properties -- including size and albedo -- of the extreme Centaur 2013 AZ60. These properties have been derived from optical and thermal infrared measurements. Our optical measurements revealed a likely full ... More

Overtone and multi-mode RR Lyrae stars in the globular cluster M3Apr 23 2015The overtone and multi-mode RR Lyrae stars in the globular cluster M3 are studied using a 200-d long, $B,V$ and $I_{\mathrm C}$ time-series photometry obtained in 2012. 70\% of the 52 overtone variables observed show some kind of multi-periodicity (additional ... More

Properties of the irregular satellite system around Uranus inferred from K2, Herschel and Spitzer observationsJun 21 2017Aug 01 2017In this paper we present visible range light curves of the irregular Uranian satellites Sycorax, Caliban, Prospero, Ferdinand and Setebos taken with Kepler Space Telescope in the course of the K2 mission. Thermal emission measurements obtained with the ... More

Hardness of Online Sleeping Combinatorial Optimization ProblemsSep 11 2015Sep 22 2015We show that several online combinatorial optimization problems that admit efficient no-regret algorithms become computationally hard in the sleeping setting where a subset of actions becomes unavailable in each round. Specifically, we show that the sleeping ... More