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KMT-2016-BLG-1820 and KMT-2016-BLG-2142: Two Microlensing Binaries Composed of Planetary-mass Companions and Very-Low-Mass PrimariesMay 25 2018Sep 18 2018We present the analyses of two short-timescale $(t_{\rm E} \sim 5~{\rm days})$ microlensing events, KMT-2016-BLG-1820 and KMT-2016-BLG-2142. In both light curves, the brief anomalies were clearly captured and densely covered by the Korea Microlensing ... More

Pre-Main Sequence Evolutions of Solar Abundance Lowmass StarsFeb 12 2007We present the Pre-Main-Sequence (PMS) evolutionary tracks of stars with 0.0065~5.0Ms. The models were evolved from the PMS stellar birthline to the onset of hydrogen burning in the core. The convective turnover timescales which enables an observational ... More

KMT-2018-BLG-0029Lb: A Very Low Mass-Ratio Spitzer Microlens PlanetJun 26 2019At $q=1.81\pm 0.20 \times 10^{-5}$, KMT-2018-BLG-0029Lb has the lowest planet-host mass ratio $q$ of any microlensing planet to date by more than a factor of two. Hence, it is the first planet that probes below the apparent "pile-up" at $q=5$--10 $\times ... More

Detections of Planets in Binaries Through the Channel of Chang-Refsdal Gravitational Lensing EventsDec 17 2016Chang-Refsdal (C-R) lensing, which refers to the gravitational lensing of a point mass perturbed by a constant external shear, provides a good approximation in describing lensing behaviors of either a very wide or a very close binary lens. C-R lensing ... More

A New Non-Planetary Interpretation of the Microlensing Event OGLE-2013-BLG-0723Apr 22 2016Recently, the discovery of a Venus-mass planet orbiting a brown-dwarf host in a binary system was reported from the analysis of the microlensing event OGLE-2013-BLG-0723. We reanalyze the event considering the possibility of other interpretations. From ... More

Reanalysis of the Gravitational Microlensing Event MACHO-97-BLG-41 based on Combined DataMar 05 2013Mar 25 2013MACHO-97-BLG-41 is a gravitational microlensing event produced by a lens composed of multiple masses detected by the first-generation lensing experiment. For the event, there exist two different interpretations of the lens from independent analyses based ... More

MOA-2016-BLG-319Lb: Microlensing Planet Subject to Rare Minor-Image Perturbation Degeneracy in Determining Planet ParameterSep 21 2018We present the analysis of the planetary microlensing event MOA-2016-BLG-319. The event light curve is characterized by a brief ($\sim 3$ days) anomaly near the peak produced by minor-image perturbations. From modeling, we find two distinct solutions ... More

Universal criterion and phase diagram for switching a magnetic vortex core in soft magnetic nanodotsJul 11 2008Dec 01 2008The universal criterion for ultrafast vortex-core switching between the up- and down-core bistates in soft magnetic nanodots was investigated by micromagnetic simulations along with analytical calculations. Vortex-core switching occurs whenever the velocity ... More

Reevaluating of the feasibility of ground-based earth-mass microlensing planet detectionsMar 05 2014One important strength of the microlensing method in detecting extrasolar planets is its high sensitivity to low-mass planets. However, it is often believed that microlensing detections of Earth-mass planets from ground-based observation would be difficult ... More

OGLE-2018-BLG-0022: First Prediction of an Astrometric Microlensing Signal from a Photometric Microlensing EventMar 30 2019Apr 04 2019In this work, we present the analysis of the binary microlensing event OGLE-2018-BLG-0022 that is detected toward the Galactic bulge field. The dense and continuous coverage with the high-quality photometry data from ground-based observations combined ... More

OGLE-2016-BLG-0156: Microlensing Event With Pronounced Microlens-Parallax Effects Yielding Precise Lens Mass MeasurementJan 19 2019We analyze the gravitational binary-lensing event OGLE-2016-BLG-0156, for which the lensing light curve displays pronounced deviations induced by microlens-parallax effects. The light curve exhibits 3 distinctive widely-separated peaks and we find that ... More

OGLE-2014-BLG-0962 and the First Statistical Validation of Bayesian Priors for Galactic MicrolensingMay 23 2018OGLE-2014-BLG-0962 (OB140962) is a stellar binary microlensing event that was well-covered by observations from the Spitzer satellite as well as ground-based surveys. Modelling yields a unique physical solution: a mid-M+M-dwarf binary with $M_{\rm prim} ... More

Spitzer Microlensing of MOA-2016-BLG-231L : A Counter-Rotating Brown Dwarf Binary in the Galactic DiskFeb 08 2019Feb 12 2019We analyze the binary microlensing event MOA-2016-BLG-231, which was observed from the ground and from Spitzer. The lens is composed of very low-mass brown dwarfs (BDs) with $M_1 = 21^{+12}_{-5} \ M_J$ and $M_2 = 9^{+5}_{-2}\ M_J$, and it is located in ... More

OGLE-2015-BLG-1670Lb: A Cold Neptune beyond the Snow Line in the Provisional WFIRST Microlensing Survey FieldSep 28 2018Jun 24 2019We present the analysis of the microlensing event OGLE-2015-BLG-1670, detected in a high-extinction field, very close to the Galactic plane. Due to the dust extinction along the line of sight, this event was too faint to be detected before it reached ... More

Spectroscopic Mass and Host-star Metallicity Measurements for Newly Discovered Microlensing Planet OGLE-2018-BLG-0740LbMay 01 2019Jul 03 2019We report the discovery of the microlensing planet OGLE-2018-BLG-0740Lb. The planet is detected with a very strong signal of $\Delta\chi^2\sim 4630$, but the interpretation of the signal suffers from two types of degeneracies. One type is caused by the ... More

$Spitzer$ Parallax of OGLE-2018-BLG-0596: A Low-mass-ratio Planet around an M-dwarfMay 14 2019We report the discovery of a $Spitzer$ microlensing planet OGLE-2018-BLG-0596Lb, with preferred planet-host mass ratio $q \sim 2\times10^{-4}$. The planetary signal, which is characterized by a short $(\sim 1~{\rm day})$ "bump" on the rising side of the ... More

Measurement of normalized differential $t\bar{t}$ cross sections in the dilepton channel in pp collisions at center-of-mass energy of 13 TeVJan 11 2018Measurements of normalized differential cross sections for top quark pair production are performed in the dilepton decay channels in proton-proton collisions at a center-of-mass energy of 13 TeV. The differential cross sections are measured with data ... More

Sobolev embedding properties on compact matrix quantum groups of Kac typeNov 26 2018We establish sharp Sobolev embedding properties within a broad class of compact matrix quantum groups of Kac type under the polynomial growth or the rapid decay property of their duals. Main examples are duals of polynomially growing discrete quantum ... More

Infinite horizon value functions in the Wasserstein spacesOct 14 2013Jun 24 2014We perform a systematic study of optimization problems in the Wasserstein spaces that are analogs of infinite horizon, deterministic control problems. We derive necessary conditions on action minimizing paths and present a sufficient condition for their ... More

Seiberg-Witten Geometry with Various Matter ContentsAug 05 1998We obtain the Seiberg-Witten geometry for four-dimensional N=2 gauge theory with gauge group SO(2N_c) (N_c \leq 5) with massive spinor and vector hypermultiplets by considering the gauge symmetry breaking in the N=2 $E_6$ theory with massive fundamental ... More

Spitzer Microlensing parallax reveals two isolated stars in the Galactic bulgeApr 25 2019We report the mass and distance measurements of two single-lens events from the 2017 Spitzer microlensing campaign. The ground-based observations yield the detection of finite-source effects, and the microlens parallaxes are derived from the joint analysis ... More

OGLE-2017-BLG-1186: first application of asteroseismology and Gaussian processes to microlensingApr 16 2019Jul 25 2019We present the analysis of the event OGLE-2017-BLG-1186 from the 2017 Spitzer microlensing campaign. This is a remarkable microlensing event because its source is photometrically bright and variable, which makes it possible to perform an asteroseismic ... More

OGLE-2018-BLG-1011L\lowercase{b,c}: Microlensing Planetary System with Two Giant Planets Orbiting a Low-mass StarJul 03 2019We report a multiplanetary system found from the analysis of microlensing event OGLE-2018-BLG-1011, for which the light curve exhibits a double-bump anomaly around the peak. We find that the anomaly cannot be fully explained by the binary-lens or binary-source ... More

Affine 7-brane Backgrounds and Five-Dimensional $E_N$ Theories on $S^1$Jul 16 1999Aug 17 1999Elliptic curves for the 7-brane configurations realizing the affine Lie algebras $\wh E_n$ $(1 \leq n \leq 8)$ and $\wh{\wt E}_n$ $(n=0,1)$ are systematically derived from the cubic equation for a rational elliptic surface. It is then shown that the $\wh ... More

Confining Phase of N=1 Supersymmetric Gauge Theories and N=2 Massless SolitonsJul 18 1996Jul 21 1996Effective superpotentials for the phase with a confined photon are obtained in $N=1$ supersymmetric gauge theories. We use the results to derive the hyperelliptic curves which describe the Coulomb phase of $N=2$ theories with classical gauge groups, and ... More

Non Scale-Invariant Topological Landau-Ginzburg ModelsAug 07 1995The Landau-Ginzburg formulation of two-dimensional topological sigma models on the target space with positive first Chern class is considered. The effective Landau-Ginzburg superpotential takes the form of logarithmic type which is characteristic of supersymmetric ... More

ADE Confining Phase SuperpotentialsJun 11 1997We obtain a low-energy effective superpotential for a phase with a single confined photon in N=1 gauge theory with an adjoint matter with ADE gauge groups. The expectation values of gauge invariants built out of the adjoint field parametrize the singularities ... More

On the similarity problem for locally compact quantum groupsSep 23 2017Nov 14 2017A well-known theorem of Day and Dixmier states that any uniformly bounded representation of an amenable locally compact group $G$ on a Hilbert space is similar to a unitary representation. Within the category of locally compact quantum groups, the conjectural ... More

N=2 Superconformal Field Theory with ADE Global Symmetry on a D3-brane ProbeMar 25 1999We study mass deformations of N=2 superconformal field theories with ADE global symmetries on a D3-brane. The N=2 Seiberg-Witten curves with ADE symmetries are determined by the Type IIB 7-brane backgrounds which are probed by a D3-brane. The Seiberg-Witten ... More

Closed Sub-Monodromy Problems, Local Mirror Symmetry and Branes on OrbifoldsSep 11 2000Oct 09 2000We study D-branes wrapping an exceptional four-cycle P(1,a,b) in a blown-up C^3/Z_m non-compact Calabi-Yau threefold with (m;a,b)=(3;1,1), (4;1,2) and (6;2,3). In applying the method of local mirror symmetry we find that the Picard-Fuchs equations for ... More

Chiral Tomonaga-Luttinger Liquids and the Calogero-Sutherland Model with BoundariesDec 11 1995Applying boundary conformal field theory we study the low-energy critical behavior of the Calogero-Sutherland model of $BC_N$-type. The universality class of the model is found to be a {\it chiral} Tomonaga-Luttinger liquid. Various correlation exponents ... More

Impact of hollow-atom formation on coherent x-ray scattering at high intensityJan 25 2011Oct 17 2011X-ray free-electron lasers (FELs) are promising tools for structural determination of macromolecules via coherent x-ray scattering. During ultrashort and ultraintense x-ray pulses with an atomic scale wavelength, samples are subject to radiation damage ... More

Field Theoretic Study of Bilayer Membrane Fusion III: Membranes with Leaves of Different CompositionSep 20 2006We extend previous work on homogeneous bilayers to calculate the barriers to fusion of planar bilayers which contain two different amphiphiles, a lamellae-former and a hexagonal former, with different compositions of the twoin each leaf. Self-consistent ... More

Mordell-Weil Lattice via String JunctionsSep 17 1999We analyze the structure of singularities, Mordell-Weil lattices and torsions of a rational elliptic surface using string junctions in the background of 12 7-branes. The classification of the Mordell-Weil lattices due to Oguiso-Shioda is reproduced in ... More

Critical Properties of the Calogero-Sutherland Model with BoundariesAug 01 1995Critical properties of the Calogero-Sutherland model of $BC_N$-type ($BC_N$-CS model) are studied. Using the asymptotic Bethe-ansatz spectrum of the $BC_N$-CS model, we calculate finite-size corrections in the energy spectrum. Since the $BC_N$-CS model ... More

Construction of entangled states with positive partial transposes based on indecomposable positive linear mapsOct 17 2003Jul 01 2004We show that every entanglement with positive partial transpose may be constructed from an indecomposable positive linear map between matrix algebras.

Higher-Rank Supersymmetry and Topological Field TheoryDec 25 1991The $N=2$ minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this process.

Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systemsJul 07 2008Jun 04 2009Let M denote the space of probability measures on R^D endowed with the Wasserstein metric. A differential calculus for a certain class of absolutely continuous curves in M was introduced by Ambrosio, Gigli and Savare'. In this paper we develop a calculus ... More

Generalized Fourier--Feynman transforms and generalized convolution products on Wiener space IIAug 05 2019The purpose of this article is to present the second type fundamental relationship between the generalized Fourier--Feynman transform and the generalized convolution product on Wiener space. The relationships in this article are also natural extensions ... More

Construction of $3\otimes 3$ entangled edge states with positive partial transposesSep 13 2005We construct a class of $3\otimes 3$ entangled edge states with positive partial transposes using indecomposable positive linear maps. This class contains several new types of entangled edge states with respect to the range dimensions of themselves and ... More

Elliptic Genera and N=2 Superconformal Field TheoryJun 21 1993Jun 28 1993Recently Witten proposed to consider elliptic genus in $N=2$ superconformal field theory to understand the relation between $N=2$ minimal models and Landau-Ginzburg theories. In this paper we first discuss the basic properties satisfied by elliptic genera ... More

Carbon nanotube, graphene, nanowire, and molecule-based electron and spin transport phenomena using the non-equilibrium Green function method at the level of first principles theoryAug 18 2007Based on density functional theory (DFT), we have developed algorithms and a program code to investigate the electron transport characteristics for a variety of nanometer scaled devices in the presence of an external bias voltage. We employed basis sets ... More

The design of the optimized muon beamlineJun 09 2014We designed an optimized antimuon beamline with the simulation using G4beamline and TRANSPORT software packages for Heavy Ion Accelerator Project in South Korea. This research suggests the optimized muon beamline can transport $2.4\times10^{8}$ antimuons ... More

Enhanced nonlinear response of Ne$^{8+}$ to intense ultrafast x raysFeb 28 2012We investigate the possible reasons for the discrepancy between the theoretical two-photon ionization cross section, $\sim 10^{-56}$ $\text{cm}^4 \text{s}$, of Ne$^{8+}$ obtained within the perturbative nonrelativistic framework for monochromatic light ... More

Theoretical evidence for the sensitivity of charge-rearrangement-enhanced x-ray ionization to molecular sizeJun 06 2019It was recently discovered that molecular ionization at high x-ray intensity is enhanced, in comparison with that of isolated atoms, through a phenomenon called CREXIM (charge-rearrangement-enhanced x-ray ionization of molecules). X-ray absorption selectively ... More

Machine Learning: Basic PrinciplesMay 14 2018Jan 28 2019This tutorial is based on the lecture notes for, and the plentiful student feedback received from, the courses "Machine Learning: Basic Principles" and "Artificial Intelligence", which I have co-taught since 2015 at Aalto University. The aim is to provide ... More

Learning Networked Exponential Families with Network LassoMay 22 2019May 30 2019The data arising in many important big-data applications, ranging from social networks to network medicine, consist of high-dimensional data points related by an intrinsic (complex) network structure. In order to jointly leverage the information conveyed ... More

The Electron EDM and EDMs in Two-Higgs-Doublet ModelsMay 25 2014Electric dipole moments constitute highly sensitive probes for CP-violating effects beyond the Standard Model. The upper limits obtained in various precision experiments can therefore be used to strongly restrict new physics models. However, relating ... More

Recent topics in CP violationAug 06 2012Dec 06 2012Recent topics regarding CP violation in heavy meson systems are discussed. As an introduction, the status of the Unitarity Triangle fit and CP violation in B meson mixing are briefly reviewed. Two topics are covered in more detail: Penguin pollution in ... More

Non-universal Z' models with protected flavour-changing interactionsJun 29 2016We define a new class of Z' models with neutral flavour-changing interactions at tree level in the down-quark sector. They are related in an exact way to elements of the quark mixing matrix due to an underlying flavoured U(1)' gauge symmetry, rendering ... More

Determining weak phases from B->J/Psi P decaysJun 10 2012Aug 10 2012The decay B -> J/Psi K_S remains the most important source of information for the B_d mixing phase, determined by the CKM angle beta in the standard model. When aiming at a precision appropriate for present and coming high luminosity colliders, the corresponding ... More

Pointwise stability estimates for periodic traveling wave solutions of systems of viscous conservation lawsOct 12 2012Oct 21 2012In the previous paper \cite{J1}, we established pointwise bounds for the Green function of the linearized equation associated with spatially periodic traveling waves $\bar u$ of a system of reaction diffusion equations, and also obtained pointwise nonlinear ... More

Learning Networked Exponential Families with Network LassoMay 22 2019Jun 27 2019The data arising in many important big-data applications, ranging from social networks to network medicine, consist of high-dimensional data points related by an intrinsic (complex) network structure. In order to jointly leverage the information conveyed ... More

Universality of Composition Operators and Applications to Holomorphic DynamicsMar 03 2016By investigating which level of universality composition operators $C_f$ can have, where the symbol $f$ is given by the restriction of a transcendental entire function to suitable parts of the Fatou set of $f$, this work combines the theory of dynamics ... More

Graphs of functions and vanishing free entropyJul 10 2007Suppose X is an n-tuple of selfadjoint elements in a tracial von Neumann algebra M. If z is a selfadjoint element in M and for some selfadjoint element y in the von Neumann algebra generated by X $\delta_0(y, z) < \delta_0(y) + \delta_0(z)$, then $\chi(X ... More

Strongly 1-bounded von Neumann algebrasOct 26 2005Oct 31 2005Suppose F is a finite set of selfadjoint elements in a tracial von Neumann algebra M. For $\alpha >0$, F is $\alpha$-bounded if the free packing $\alpha$-entropy of F is bounded from above. We say that M is strongly 1-bounded if M has a 1-bounded finite ... More

Core entropy and biaccessibility of quadratic polynomialsJan 20 2014For complex quadratic polynomials, the topology of the Julia set and the dynamics are understood from another perspective by considering the Hausdorff dimension of biaccessing angles and the core entropy: the topological entropy on the Hubbard tree. These ... More

Homeomorphisms of the Mandelbrot SetDec 14 2003On subsets E of the Mandelbrot set M, homeomorphisms are constructed by quasi-conformal surgery. When the dynamics of quadratic polynomials is changed piecewise by a combinatorial construction, a general theorem yields the corresponding homeomorphism ... More

The CCFM Monte Carlo generator CASCADESep 12 2001CASCADE is a full hadron level Monte Carlo event generator for e-p, gamma-p and p-p_bar processes, which uses the CCFM evolution equation for the initial state cascade in a backward evolution approach supplemented with off-shell matrix elements for the ... More

Photon structure at HERAJun 09 2000Jun 13 2000The structure of the virtual photon and its contribution to small x processes in deep inelastic scattering at HERA is discussed.

kt - factorization and CCFM - the solution for describing the hadronic final states - everywhere ?Nov 20 2003Nov 25 2003The basic ideas of kt-factorization and CCFM parton evolution is discussed. The unintegrated gluon densities, obtained from CCFM fits to the proton structure function data at HERA are used to predict hadronic final state cross sections like jet production ... More

CCFM prediction for F_2 and forward jets at HERAMay 31 1999Jun 03 1999Predictions of the CCFM evolution equation for F_2 and forward jets at HERA energies are obtained from a modified version of the Monte Carlo program SMALLX. The treatment of the non-Sudakov form factor $\Delta_{ns}$ is discussed as well as the effect ... More

Monte Carlo Implementations of Diffraction at HERASep 14 1998The Monte Carlo implementation of different approaches for diffractive scattering in $e - p$ collisions (resolved $\PO$, pQCD, soft color interactions) is described, with emphasis on the construction of the hadronic final state. Simple models for proton ... More

Indicator fractional stable motionsOct 15 2010Mar 05 2011Using the framework of random walks in random scenery, Cohen and Samorodnitsky (2006) introduced a family of symmetric $\alpha$-stable motions called local time fractional stable motions. When $\alpha=2$, these processes are precisely fractional Brownian ... More

Perturbations of the Symmetric Exclusion ProcessSep 15 2003Feb 27 2004For the exclusion process with symmetric kernel p(x,y)=p(y,x), the set of invariant measures has been completely studied. This paper gives results concerning the invariant measures for exclusion processes where p(x,y)=p(y,x) except for finitely many (x,y). ... More

On the growth of the number of totally geodesic surfaces in some hyperbolic $3$-manifoldsJan 03 2018Let $d$ be a positive square-free integer $\equiv 3 \pmod{4}$ such that there is no invariant of the ideal class group $\mathbb{Q}\lbrack \sqrt{-d}\rbrack$ which is divisible by $4$. We prove an asymptotic formula for the number of immersed totally geodesic ... More

Iterated trilinear Fourier integrals with arbitrary symbolsNov 07 2013Aug 24 2015We prove $L^p$ estimates for trilinear multiplier operators with singular symbols. These operators arise in the study of iterated trilinear Fourier integrals, which are trilinear variants of the bilinear Hilbert transform. Specifically, we consider trilinear ... More

Sharp bounds for the intersection of nodal lines with certain curvesAug 11 2011May 29 2016Let $Y$ be a hyperbolic surface and let $\phi$ be a Laplacian eigenfunction having eigenvalue $-1/4-\tau^2$ with $\tau>0$. Let $N(\phi)$ be the set of nodal lines of $\phi$. For a fixed analytic curve $\gamma$ of finite length, we study the number of ... More

Non-local exchange effects in zigzag edge magnetism of neutral graphene nanoribbonsJan 28 2011We study the role of non-locality of exchange in a neutral zigzag graphene nanoribbon within the $\pi$-orbital unrestricted Hartree-Fock approximation. Within this theory we find that the magnetic features are further stabilized for both the intra-edge ... More

Measurement of the fraction of top quark pair events produced via gluon-gluon fusion at the Tevatron in lepton+jets final statesNov 30 2014We report a measurement of the fraction of top quark pair events produced via gluon-gluon fusion in $p\bar{p}$ collisions at $\sqrt{s} = 1.96 ~\rm TeV$ in lepton+jets final states using the full RunII data set corresponding to $9.7 ~\rm fb^{-1}$ of integrated ... More

KMT-2018-BLG-1990Lb: A Nearby Jovian Planet From A Low-Cadence Microlensing FieldMay 14 2019We report the discovery and characterization of KMT-2018-BLG-1990Lb, a Jovian planet $(m_p=0.57_{-0.25}^{+0.79}\,M_J)$ orbiting a late M dwarf $(M=0.14_{-0.06}^{+0.20}\,M_\odot)$, at a distance $(D_L=1.23_{-0.43}^{+1.06}\,\kpc)$, and projected at $2.6\pm ... More

KMT-2016-BLG-1107: A New Hollywood-Planet Close/Wide DegeneracyMay 22 2018Nov 13 2018We show that microlensing event KMT-2016-BLG-1107 displays a new type of degeneracy between wide-binary and close-binary Hollywood events in which a giant-star source envelops the planetary caustic. The planetary anomaly takes the form of a smooth, two-day ... More

Kmt-2016-blg-1397b: Kmtnet-only discovery of a microlens giant planetOct 25 2018We report the discovery of a giant planet in the KMT-2016-BLG-1397 microlensing event, which was found by The Korea Microlensing Telescope Network (KMTNet) alone. The time scale of this event is t_E = 40.0 +- 0.5 days and the mass ratio between the lens ... More

The Korea Microlensing Telescope Network (KMTNet) Alert Algorithm and Alert SystemJun 20 2018We describe a new microlensing-event alert algorithm that is tailored to the Korea Microlensing Telescope Network (KMTNet) multi-observatory system. The algorithm focuses on detecting "rising" events, i.e., events whose brightness is increasing as a function ... More

Hybrid Workflow Policy Management for Heart Disease IdentificationJan 23 2010As science technology grows, medical application is becoming more complex to solve the physiological problems within expected time. Workflow management systems (WMS) in Grid computing are promising solution to solve the sophisticated problem such as genomic ... More

Continuum directions for supervised dimension reductionJun 20 2016We consider dimension reduction of multivariate data under the existence of various types of auxiliary information. We propose a criterion that provides a series of orthogonal directional vectors, that form a basis for dimension reduction. The proposed ... More

Theory of electric dipole moments and lepton flavour violationAug 12 2016Electric dipole moments and charged-lepton flavour-violating processes are extremely sensitive probes for new physics, complementary to direct searches as well as flavour-changing processes in the quark sector. Beyond the "smoking-gun" feature of a potential ... More

A Fixed-Point of View on Gradient Methods for Big DataJun 29 2017Aug 15 2017Interpreting gradient methods as fixed-point iterations, we provide a detailed analysis of those methods for minimizing convex objective functions. Due to their conceptual and algorithmic simplicity, gradient methods are widely used in machine learning ... More

Relating U(1) monopole configurations to SU(2) saddle-point configurationsOct 17 1996We have studied field configurations of the 3-dimensional Georgi-Glashow model which interpolate between the $U(1)$ and the $SU(2)$ limits. In the intermediate region, these configurations contain 't-Hooft--Polyakov monopoles. We use cooling and extremization ... More

Analysis of saddle-point configurations in 3-dimensional SU(2) gauge theoryOct 31 1995We discuss the properties of a class of saddle point solutions in SU(2) in three dimensions (SU$(2)_3$), exhibiting localized peaks in the action. These configurations are generated by deterministic cooling and extremizing algorithms from analytic configurations. ... More

Flavour Physics in two-Higgs-doublet modelsDec 29 2010Despite the tremendous success of the Standard Model, the arguments for the necessity of an extension are compelling. An attractive option is provided by Two-Higgs-Doublet models, due to their simplicity and them being the low-energy limit of some more ... More

Is there a non-standard-model contribution in non-leptonic b to s decays?Oct 08 2009The data on high-precision flavour observables reveal certain puzzles when compared to Standard Model expectations based on a global fit of the CKM unitarity triangle and general theoretical estimates. The discussion of these tensions in the channels ... More

Theory of electric dipole moments and lepton flavour violationAug 12 2016Nov 02 2016Electric dipole moments and charged-lepton flavour-violating processes are extremely sensitive probes for new physics, complementary to direct searches as well as flavour-changing processes in the quark sector. Beyond the "smoking-gun" feature of a potential ... More

Inference on subspheres model for directional dataJun 13 2016Modeling deformations of a real object is an important task in computer vision, biomedical engineering and biomechanics. In this paper, we focus on a situation where a three-dimensional object is rotationally deformed about a fixed axis, and assume that ... More

Pointwise asymptotic behavior of modulated periodic reaction-diffusion wavesDec 03 2011By working with the periodic resolvent kernel and Bloch-decomposition, we establish pointwise bounds for the Green function of the linearized equation associated with spatially periodic traveling waves of a system of reaction diffusion equations.With ... More

Dimension and Entropy Computations for $L(F_r)$Feb 15 2003We show that certain generating sets of Dykema and Radulescu for $L(F_r)$ have free Hausdorff dimension r and nondegenerate free Hausdorff r-entropy

Fractal entropies and dimensions for microstate spacesDec 01 2002Sep 10 2003Using Voiculescu's notion of a matricial microstate we introduce fractal dimensions and entropies for finite sets of selfadjoint operators in a tracial von Neumann algebra. We show that they possess properties similar to their classical predecessors. ... More

The Szegö-Asymptotics for Doubly-Dispersive Gaussian ChannelsMar 09 2018We consider the time-continuous doubly--dispersive channel with additive Gaussian noise and establish a capacity formula for the case where the channel operator is represented by a symbol which is periodic in time and fulfills some further integrability, ... More

Random-time isotropic fractional stable fieldsDec 20 2011Jun 27 2012Generalizing both Substable FSMs and Indicator FSMs, we introduce alpha-stabilized subordination, a procedure which produces new FSMs (H-sssi symmetric stable processes) from old ones. We extend these processes to isotropic stable fields which have stationary ... More

On the Approximate Eigenstructure of Time-Varying ChannelsMar 05 2008Jul 10 2008In this article we consider the approximate description of doubly--dispersive channels by its symbol. We focus on channel operators with compactly supported spreading, which are widely used to represent fast fading multipath communication channels. The ... More

Precoding for 2x2 Doubly-Dispersive WSSUS ChannelsOct 20 2005Jan 16 2006Optimal link adaption to the scattering function of wide sense stationary uncorrelated scattering (WSSUS) mobile communication channels is still an unsolved problem despite its importance for next-generation system design. In multicarrier transmission ... More

Extremal Reversible Measures for the Exclusion ProcessSep 14 2003We give a characterization of the invariant measures for the exclusion process on the integers with certain reversible transition kernels. Some examples include all nearest-neighbor kernels with asymptotic mean zero. One tool used is a necessary and sufficient ... More

Bounding the number of nodal domains of eigenfunctions without singular points on the squareDec 26 2017Aug 30 2018We prove Polterovich's conjecture concerning the growth of the number of nodal domains for eigenfunctions on a unit square domain, under the assumption that the eigenfunctions do not have any singular points.

On sparsity of positive-definite automorphic forms within a familyJan 02 2012It is known due to Baker and Montgomery that almost all Fekete polynomials under certain ordering have at least one zero on the interval (0, 1). In terms of the positive-definiteness, Fekete polynomial has no zero on the interval (0, 1) if and only if ... More

Quantitative quantum ergodicity and the nodal domains of Maass-Hecke cusp formsJan 26 2013May 08 2016We prove a quantitative statement of the quantum ergodicity for Hecke--Maass cusp forms on the modular surface. As an application of our result, along a density $1$ subsequence of even Hecke--Maass cusp forms, we obtain a sharp lower bound for the $L^2$-norm ... More

Open maps between shift spacesOct 25 2008Given a code from a shift space to an irreducible sofic shift, any two of the following three conditions -- open, constant-to-one, (right or left) closing -- imply the third. If the range is not sofic, then the same result holds when bi-closingness replaces ... More

Uncovering Architectural Design DecisionsApr 16 2017Over the past three decades, considerable effort has been devoted to the study of software architecture. A major portion of this effort has focused on the originally proposed view of four "C"s---components, connectors, configurations, and constraints---that ... More

Itinerant ferromagnetism in half-metallic CoS_2Jan 04 2000We have investigated electronic and magnetic properties of the pyrite-type CoS_2 using the linearized muffin-tin orbital (LMTO) band method. We have obtained the ferromagnetic ground state with nearly half-metallic nature. The half-metallic stability ... More

Deeply learning molecular structure-property relationships using attention- and gate-augmented graph convolutional networkMay 28 2018Oct 08 2018Molecular structure-property relationships are key to molecular engineering for materials and drug discovery. The rise of deep learning offers a new viable solution to elucidate the structure-property relationships directly from chemical data. Here we ... More

Integration, Verification and Layout of a Complex Multimedia SOCOct 25 2007We present our experience of designing a single-chip controller for advanced digital still camera from specification all the way to mass production. The process involves collaboration with camera system designer, IP vendors, EDA vendors, silicon wafer ... More