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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

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

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

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

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

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

A Cold Neptune Beyond the Snow Line in the Provisional $\textit{WFIRST}$ FieldSep 28 2018We 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

Spitzer Microlensing of MOA-2016-BLG-231L : A Counter-Rotating Brown Dwarf Binary in the Galactic DiskFeb 08 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

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

Notes on extremality of the Choi mapJun 04 2013It is widely believed that the Choi map generates an extremal ray in the cone $\mathcal P(M_3)$ of all positive linear maps between $C^*$-algebra $M_3$ of all $n\times n$ matrices over the complex field. But the only proven fact is that the Choi map generates ... More

Optimal indecomposable witnesses without extremality as well as spanning propertyJun 04 2012One of the interesting problems on optimal indecomposable entanglement witnesses is whether there exists an optimal indecomposable witness which neither has the spanning property nor is associated with extremal positive linear map. Here, we answer this ... More

Power Spectrum Analysis of the OMC1 Image at 1.1 mm WavelengthJun 05 2012Sep 14 2012We present a 1.1mm emission map of the OMC1 region observed with AzTEC, a new large-format array composed of 144 silicon-nitride micromesh bolometers, that was in use at the James Clerk Maxwell Telescope (JCMT). These AzTEC observations reveal dozens ... More

Exceptional Seiberg-Witten Geometry with Massive Fundamental MattersMar 03 1998We propose Seiberg-Witten geometry for N=2 gauge theory with gauge group $E_6$ with massive $N_f$ fundamental hypermultiplets. The relevant manifold is described as a fibration of the ALE space of $E_6$ type. It is observed that the fibering data over ... More

A New Description of the E_6 SingularityDec 09 1996We discuss a new type of Landau-Ginzburg potential for the E_6 singularity of the form $W=const+(Q_1(x)+P_1(x)\sqrt{P_2(x)})/x^3$ which featured in a recent study of heterotic/typeII string duality. Here $Q_1,P_1$ and $P_2$ are polynomials of degree 15,10 ... 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

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.

Construction of exposed indecomposable positive linear maps between matrix algebrasOct 21 2014We construct a large class of indecomposable positive linear maps from the $2\times 2$ matrix algebra into the $4\times 4$ matrix algebra, which generate exposed extreme rays of the convex cone of all positive maps. We show that extreme points of the ... More

Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transposeFeb 24 2014We investigate conditions on a finite set of multi-partite product vectors for which separable states with corresponding product states have unique decomposition, and show that this is true in most cases if the number of product vectors is sufficiently ... More

Separable states with unique decompositionsOct 03 2012Jul 11 2013We search for faces of the convex set consisting of all separable states, which are affinely isomorphic to simplices, to get separable states with unique decompositions. In the two-qutrit case, we found that six product vectors spanning a five dimensional ... More

Optimality for indecomposable entanglement witnessesApr 30 2012We examine various notions related with the optimality for entanglement witnesses arising from Choi type positive linear maps. We found examples of optimal entanglement witnesses which are non-decomposable, but which are not `non-decomposable optimal ... More

On Minimal Copulas under the Concordance OrderSep 17 2018Oct 19 2018In the present paper, we study extreme negative dependence focussing on the concordance order for copulas. With the absence of a least element for dimensions $d\ge$ 3, the set of all minimal elements in the collection of all copulas turns out to be a ... More

Geometry for separable states and construction of entangled states with positive partial transposesJul 04 2013We construct faces of the convex set of all $2\otimes 4$ bipartite separable states, which are affinely isomorphic to the simplex $\Delta_{9}$ with ten extreme points. Every interior point of these faces is a separable state which has a unique decomposition ... More

Entanglement witnesses arising from Choi type positive linear mapsMay 14 2012We construct optimal PPTES witnesses to detect $3\otimes 3$ PPT entangled edge states of type $(6,8)$ constructed recently \cite{kye_osaka}. To do this, we consider positive linear maps which are variants of the Choi type map involving complex numbers, ... More

Construction of three qubit genuine entanglement with bi-partite positive partial transposesDec 15 2015We construct tri-qubit genuinely entangled states which have positive partial transposes with respect to bi-partition of systems. These examples disprove a conjecture [L. Novo, T. Moroder and O. G\" uhne, Phys.Rev.A {88}, 012305 (2013)] which claims that ... More

Global geometric difference between separable and Positive partial transpose statesAug 05 2013In the convex set of all $3\ot 3$ states with positive partial transposes, we show that one can take two extreme points whose convex combinations belong to the interior of the convex set. Their convex combinations may be even in the interior of the convex ... 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

Duality Between String Junctions and D-Branes on Del Pezzo SurfacesJul 31 2000Nov 07 2000We revisit local mirror symmetry associated with del Pezzo surfaces in Calabi-Yau threefolds in view of five-dimensional N=1 E_N theories compactified on a circle. The mirror partner of singular Calabi-Yau with a shrinking del Pezzo four-cycle is described ... More

The Price of Anarchy in Transportation Networks: Efficiency and Optimality ControlDec 10 2007Aug 07 2008Uncoordinated individuals in human society pursuing their personally optimal strategies do not always achieve the social optimum, the most beneficial state to the society as a whole. Instead, strategies form Nash equilibria which are often socially suboptimal. ... 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

Sequence Space Localization in the Immune System Response to Vaccination and DiseaseAug 29 2003We introduce a model of protein evolution to explain limitations in the immune system response to vaccination and disease. The phenomenon of original antigenic sin, wherein vaccination creates memory sequences that can \emph{increase} susceptibility to ... More

Extremal doubly stochastic measures and optimal transportationApr 21 2010This article connects the theory of extremal doubly stochastic measures to the geometry and topology of optimal transportation. We begin by reviewing an old question (# 111) of Birkhoff in probability and statistics [4], which is to give a necessary and ... More

Optimal transportation, topology and uniquenessAug 26 2010The Monge-Kantorovich transportation problem involves optimizing with respect to a given a cost function. Uniqueness is a fundamental open question about which little is known when the cost function is smooth and the landscapes containing the goods to ... More

ADE Singularities and Coset ModelsMay 20 2001We consider the compactification of the IIA string to (1+1) dimensions on non-compact 4-folds that are ALE fibrations. Supersymmetry requires that the compactification include 4-form fluxes, and a particular class of these models has been argued by Gukov, ... 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

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

Technological novelty profile and invention's future impactDec 19 2015Dec 27 2015We consider inventions as novel combinations of existing technological capabilities. Patent data allow us to explicitly identify such combinatorial processes in invention activities. Unconsidered in the previous research, not every new combination is ... More

Integral Equations with Hypersingular Kernels -- Theory and Applications to Fracture MechanicsJun 09 1999Hypersingular integrals of the type $I_{\alpha}(T_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^\alpha}ds |r|<1$ and $I_{\alpha}(U_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{U_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^\alpha}ds |r|<1$ are investigated ... More

On the existence of open and bi-continuing codesOct 25 2008Feb 27 2009Given an irreducible sofic shift X, we show that an an irreducible SFT Y of lower entropy is a factor of X if and only if it is a factor of X by an open bi-continuing code. If these equivalent conditions hold and Y is mixing, then any code from a proper ... More

Simulations of a model for the Northern Spotted OwlFeb 19 2014In this paper, a branching process model of the Northern Spotted Owl is simulated. We focus on the time until extinction. It is shown how an approximation of the model with a multivariate autoregressive process works well near the equilibrium, but does ... More

Monopole-antimonopole condensation in the interpolating Georgi-Glashow modelDec 22 1997We study the three dimensional Georgi-Glashow model (which interpolates smoothly between pure U(1) and SU(2) limits) using a constrained cooling which preserves 't Hooft-Polyakov monopoles. We find that the monopole-antimonopole condensation gives an ... More

A hyperfinite inequality for free entropy dimensionAug 28 2003Nov 25 2003If $X, Y,$ and $Z$ are finite sets of selfadjoint elements in a tracial von Neumann algebra and $X$ generates a hyperfinite von Neumann algebra, then $\delta_0(X \cup Y \cup Z) \leq \delta_0(X \cup Y) + \delta_0(X \cup Z) - \delta_0(X).$ We draw several ... More

Dimension results for mappings of jet space Carnot groupsApr 24 2018We propose analogues of horizontal and vertical projections for model filiform jet space Carnot groups. Every pair consisting of the jet of a smooth function on $\mathbb{R}$ and a vertical hyperplane with first coordinate fixed provides a splitting of ... 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

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

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

Pulse Shaping, Localization and the Approximate Eigenstructure of LTV ChannelsDec 15 2009In this article we show the relation between the theory of pulse shaping for WSSUS channels and the notion of approximate eigenstructure for time-varying channels. We consider pulse shaping for a general signaling scheme, called Weyl-Heisenberg signaling, ... More

Status of dynamical ensemble generationJan 06 2010I give an overview of current and future plans of dynamical QCD ensemble generation activities. A comparison of simulation cost between different discretizations is made. Recent developments in techniques and algorithms used in QCD dynamical simulations, ... More

Amenability, tubularity, and embeddings into $\mathcal R^ω$Jun 06 2005Dec 02 2006Suppose $M$ is a tracial von Neumann algebra embeddable into $\mathcal R^{\omega}$ (the ultraproduct of the hyperfinite $II_1$-factor) and $X$ is an $n$-tuple of selfadjoint generators for $M$. Denote by $\Gamma(X;m,k,\gamma)$ the microstate space of ... More

Congestion Control and Routing over Challenged NetworksJan 19 2012This dissertation is a study on the design and analysis of novel, optimal routing and rate control algorithms in wireless, mobile communication networks. Congestion control and routing algorithms upto now have been designed and optimized for wired or ... More

Bounds on new physics from electric dipole momentsSep 16 2015Electric dipole moments are extremely sensitive probes for additional sources of CP violation in new physics models. The multi-scale problem of relating the high-precision measurements with neutrons, atoms and molecules to fundamental parameters can be ... More

Recent results from CCFM evolutionDec 04 2003Recent developments of the small $x$ CCFM evolution are described, including improvements of the splitting function. The resulting unintegrated gluon densities are used for predictions of hadronic final state measurements like jet production at HERA and ... More

Vector meson cross sections at HERAJan 13 2008Inelastic and elastic (exclusive) cross section measurements of vector meson production at HERA are discussed.

The Thurston Algorithm for quadratic matingsJun 13 2017Mating is an operation to construct a rational map f from two polynomials, which are not in conjugate limbs of the Mandelbrot set. When the Thurston Algorithm for the unmodified formal mating is iterated in the case of postcritical identifications, it ... More

A propagation property of free entropy dimensionNov 17 2006Nov 29 2006Let M be a tracial von Neumann algebra and A be a weakly dense unital C*-subalgebra of M. We say that a set X is a W*-generating set for M if the von Neumann algebra generated by X is M and that X is a C*-generating set for A if the unital C*-algebra ... More

Some free entropy dimension inequalities for subfactorsOct 28 2004Suppose $N \subset M$ is an inclusion of $II_1$-factors of finite index. If $N$ can be generated by a finite set of elements, then there exist finite generating sets $X$ for $N$ and $Y$ for $M$ such that $\delta_0(X) \geq \delta_0(Y)$, where $\delta_0$ ... 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

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

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

Exit times for multivariate autoregressive processesNov 09 2012We study exit times from a set for a family of multivariate autoregressive processes with normally distributed noise. By using the large deviation principle, and other methods, we show that the asymptotic behavior of the exit time depends only on the ... 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

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

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

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

A Free Entropy Dimension LemmaJul 17 2002Dec 24 2002Suppose M is a von Neumann algebra with normal, tracial state phi and {a_1,...,a_n} is a set of self-adjoint elements in M. We provide an alternative uniform packing description of delta_0(a_1,...,a_n), the modified free entropy dimension of {a_1,...,a_n}. ... More

Weighted Norms of Ambiguity Functions and Wigner DistributionsJan 06 2006Jul 07 2006In this article new bounds on weighted p-norms of ambiguity functions and Wigner functions are derived. Such norms occur frequently in several areas of physics and engineering. In pulse optimization for Weyl--Heisenberg signaling in wide-sense stationary ... More

The Critical Value of the Contact Process with Added and Removed EdgesMay 04 2004Nov 19 2004We show that the critical value for the contact process on a vertex-transitive graph G with finitely many edges added and/or removed is the same as the critical value for the contact process on G.

The noisy voter-exclusion processOct 31 2003The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures. Adding spontaneous births and deaths to the two processes still allows ... More

On the Szegö-Asymptotics for Doubly-Dispersive Gaussian ChannelsFeb 25 2011Jun 09 2011We consider the time-continuous doubly-dispersive channel with additive Gaussian noise and establish a capacity formula for the case where the channel correlation operator is represented by a symbol which is periodic in time and fulfills some further ... More

Approximate Eigenstructure of LTV Channels with Compactly Supported SpreadingJan 06 2007Feb 27 2007In this article we obtain estimates on the approximate eigenstructure of channels with a spreading function supported only on a set of finite measure $|U|$.Because in typical application like wireless communication the spreading function is a random process ... More

Thermodynamics using p4-improved staggered fermion action on QCDOCOct 05 2005We present an exploratory study of the thermodynamics of $N_f=3$ QCD with an improved staggered fermions using the QCDOC supercomputer. We use a p4 action with MILC-style smeared links (Fat 7). Some details of the implementation of the p4 action on QCDOC ... More

The Rank Theorem and $L^2$-invariants in Free Entropy: Global Upper BoundsFeb 15 2016Using an analogy with the rank theorem in differential geometry, it is shown that for a finite $n$-tuple $X$ in a tracial von Neumann algebra and any finite $m$-tuple $F$ of $*$-polynomials in $n$ noncommuting indeterminates, \begin{eqnarray*} \delta_0(X) ... More

The Bootstrap and von Neumann algebras: The Maximal Intersection LemmaSep 19 2016Given a suitably nested family $Z = \langle Z(m,k,\gamma) \rangle_{m,k \in \mathbb N, \gamma >0}$ of Borel subsets of matrices, and associated Borel measures and rate function, $\mu$, an entropy, $\chi^{\mu}(Z)$, is introduced which generalizes the microstates ... More

Fractal entropies and dimensions for microstate spaces, IIDec 11 2003For a selfadjoint element x in a tracial von Neumann algebra and $\alpha = \delta_0(x)$ we compute bounds for $\mathbb H^{\alpha}(x),$ where $\mathbb H^{\alpha}(x)$ is the free Hausdorff $\alpha$-entropy of $x.$ The bounds are in terms of $\int \int_{\mathbb ... More

Levy-Khintchine random matrices and the Poisson weighted infinite skeleton treeFeb 05 2014Feb 13 2016We study a class of Hermitian random matrices which includes and generalizes Wigner matrices, heavy-tailed random matrices, and sparse random matrices such as the adjacency matrices of Erdos-Renyi random graphs with p ~ 1/N. Our NxN random matrices have ... More

Resolving the existence of Higgsinos in the LHC inverse problemApr 10 2014Jun 17 2014The LHC inverse problem is infamously challenging when neutralinos and charginos are heavy and pure and other superparticles are decoupled. This limit is becoming more relevant to particle physics nowadays. Fortunately, in this limit, Higgsinos produce ... More

BiLipschitz embeddings of spheres into jet space Carnot groups not admitting Lipschitz extensionsDec 15 2017Sep 07 2018For all $k,n\ge 1$, we construct a biLipschitz embedding of $\mathbb{S}^n$ into the jet space Carnot group $J^k(\mathbb{R}^n)$ that does not admit a Lipschitz extension to $\mathbb{B}^{n+1}$. Let $f:\mathbb{B}^n\to \mathbb{R}$ be a smooth, positive function ... More

A variant of Gromov's problem on Hölder equivalence of Carnot groupsFeb 20 2017Jul 04 2017It is unknown if there exists a locally $\alpha$-H\"older homeomorphism $f:\mathbb{R}^3\to \mathbb{H}^1$ for any $\frac{1}{2}< \alpha\le \frac{2}{3}$, although the identity map $\mathbb{R}^3\to \mathbb{H}^1$ is locally $\frac{1}{2}$-H\"older. More generally, ... More

Large anisotropy in the optical conductivity of YNi2B2CJul 05 2002The optical properties of YNi$_2$B$_2$C are studied by using the first-principles full-potential linearized augmented plane wave (FLAPW) method within the local density approximation. Anisotropic behavior is obtained in the optical conductivity, even ... More

Morphology of travel routes and the organization of citiesJan 11 2017Sep 25 2017The city is a complex system that evolves through its inherent social and economic interactions. Mediating the movements of people and resources, urban street networks offer a spatial footprint of these activities; consequently their structural characteristics ... 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

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

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

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

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

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

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

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

The free entropy dimension of hyperfinite von Neumann algebrasDec 04 2001Sep 13 2003Suppose M is a hyperfinite von Neumann algebra with a tracial state $\phi$ and $\{a_1,...,a_n\}$ is a set of selfadjoint generators for M. We calculate $\delta_0(a_1,...,a_n)$, the modified free entropy dimension of $\{a_1,...,a_n\}$. Moreover we show ... More