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Putting in All the Stops: Execution Control for JavaScriptFeb 08 2018Scores of compilers produce JavaScript, enabling programmers to use many languages on the Web, reuse existing code, and even use Web IDEs. Unfortunately, most compilers expose the browser's compromised execution model, so long-running programs freeze ... More

ADsafety: Type-Based Verification of JavaScript SandboxingJun 25 2015Web sites routinely incorporate JavaScript programs from several sources into a single page. These sources must be protected from one another, which requires robust sandboxing. The many entry-points of sandboxes and the subtleties of JavaScript demand ... More

A New Slant on Lebesgue's Universal Covering ProblemJan 29 2014Feb 19 2014Lebesgue's universal covering problem is re-examined using computational methods. This leads to conjectures about the nature of the solution which if correct could provide a blueprint for a complete solution. Empirical lower bounds for the minimal area ... More

A White Hole Model of the Big BangMar 04 1998A model of the universe as a very large white hole provides a useful alternative inhomogeneous theory to pit against the homogeneous standard FLRW big bang models. The white hole would have to be sufficiently large that we can fit comfortably inside the ... More

An Acataleptic UniverseApr 24 2013John Wheeler advocated the principle that information is the foundation of physics and asked us to reformulate physics in terms of bits. The goal is to consider what we know already and work out a new mathematical theory in which space, time and matter ... More

Differential protein expression and peak selection in mass spectrometry data by binary discriminant analysisFeb 27 2015May 27 2015Motivation: Proteomic mass spectrometry analysis is becoming routine in clinical diagnostics, for example to monitor cancer biomarkers using blood samples. However, differential proteomics and identification of peaks relevant for class separation remains ... More

The Small Scale Structure of Space-Time: A Bibliographical ReviewJun 26 1995Jan 26 1996This essay is a tour around many of the lesser known pregeometric models of physics, as well as the mainstream approaches to quantum gravity, in search of common themes which may provide a glimpse of the final theory which must lie behind them.

Symmetry in the Topological Phase of String TheoryApr 28 1995Sep 22 1995I present arguments to the affect that the topological phase of string theory must be event-symmetric. This motivates a search for a universal string group for discrete strings in event-symmetric space-time which unifies space-time symmetry with internal ... More

Complexifications of Morse functions and the directed Donaldson-Fukaya categoryAug 04 2008Sep 15 2009Let N be a closed four dimensional manifold which admits a self-indexing Morse function f with only 3 critical values 0,2,4, and a unique maximum and minimum. Let g be a Riemannian metric on N such that (f,g) is Morse-Smale. We construct from (N,f,g) ... More

Possible Candidates for SUSY E$_6$ GUT with an Intermediate ScaleFeb 02 1996We study the possibility of an intermediate scale existing in supersymmetric E$_6$ grand unified theories. The intermediate scale is demanded to be around $10^{12}$ GeV so that neutrinos can obtain masses suitable for explaining the experimental data ... More

Spectral projections and resolvent bounds for partially elliptic quadratic differential operatorsJun 17 2012Mar 04 2013We study resolvents and spectral projections for quadratic differential operators under an assumption of partial ellipticity. We establish exponential-type resolvent bounds for these operators, including Kramers-Fokker-Planck operators with quadratic ... More

The CMB in a Causal Set UniverseNov 19 2007We discuss Cosmic Microwave Background constraints on the causal set theory of quantum gravity, which has made testable predictions about the nature of dark energy. We flesh out previously discussed heuristic constraints by showing how the power spectrum ... More

Nonparametric Estimation and On-Line Prediction for General Stationary Ergodic SourcesFeb 24 2010Jun 26 2010We proposed a learning algorithm for nonparametric estimation and on-line prediction for general stationary ergodic sources. We prepare histograms each of which estimates the probability as a finite distribution, and mixture them with weights to construct ... More

Minimal Problems for the Calibrated Trifocal VarietyNov 18 2016We determine the algebraic degree of minimal problems for the calibrated trifocal variety in computer vision. We rely on numerical algebraic geometry and the homotopy continuation software Bertini.

The pentaquark in K-plus-d total cross section dataMay 09 2004Jun 29 2004An analysis of $K^+$-d total cross section data is undertaken to explore possible effects of the recently observed resonance in the S=+1 hadronic system with mass around 1.55 GeV. It is found that a structure corresponding to the resonance is visible ... More

The Contribution of the Light Quark Condensate to the Pion-Nucleon Sigma TermMay 08 2003There has been a discrepancy between values of the pion-nucleon sigma term extracted by two different methods for many years. Analysis of recent high precision pion-nucleon data has widened the gap between the two determinations. It is argued that the ... More

Low-energy Antiproton Interaction with HeliumMay 02 1997An ab initio potential for the interaction of the neutral helium atom with antiprotons and protons is calculated using the Born-Oppenheimer approximation. Using this potential, the annihilation cross section for antiprotons in the energy range 0.01 microvolt ... More

Jacobian Conjecture in two dimensionJun 14 2013Sep 13 2013Let $(P, Q)$ be a pair of Jacobian polynomials. We can show that $ <P, Q>+l+2g(P)-2= 0= <P, [P,Q]>$, where $<f, g>$ is the intersection number of $f, g\in \CC[x, y]$ in the affine plane, $l$ is the number of branch at point at infinity and $g(P)$ is the ... More

Stability, Instability, Canonical Energy and Charged Black HolesJun 25 2013We use the canonical energy method of Hollands and Wald to study the stability properties of asymptotically flat, stationary solutions to a very general class of theories, consisting of a set of coupled scalar fields and p-form gauge fields, minimally ... More

The Picard-Lefschetz theory of complexified Morse functionsJun 08 2009Given a closed manifold N and a self-indexing Morse function f: N --> R with up to four distinct Morse indices, we construct a symplectic Lefschetz fibration pi: E --> C which models the complexification of f on the disk cotangent bundle, f_C : D(T*N) ... More

Testing galaxy formation scenarios with a new mass estimatorNov 30 2009We present the recently derived Wolf et al. (2009) mass estimator, which is applicable for spherical pressure-supported stellar systems spanning over ten orders of magnitude in luminosity, as a tool to test galaxy formation theories. We show that all ... More

Universal Bayesian Measures and Universal Histogram SequencesMay 23 2014Consider universal data compression: the length $l(x^n)$ of sequence $x^n\in A^n$ with finite alphabet $A$ and length $n$ satisfies Kraft's inequality over $A^n$, and $-\frac{1}{n}\log \frac{P^n(x^n)}{Q^n(x^n)}$ almost surely converges to zero as $n$ ... More

A Construction of Bayesian Networks from Databases Based on an MDL PrincipleMar 06 2013This paper addresses learning stochastic rules especially on an inter-attribute relation based on a Minimum Description Length (MDL) principle with a finite number of examples, assuming an application to the design of intelligent relational database systems. ... More

Anti-holomorphic twistor and Symplectic structureMay 26 2000Jul 06 2000It is well known that the twisters, section of twister space, classify the almost complex structure on even dimensional Riemannian manifold $X$. In this paper, it will be proved that a harmonic and anti-holomorphic twister is equivalent ti a symplectic ... More

Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2Oct 10 1996In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the singularity of the Bergman kernel at weakly pseudoconvex points is essentially ... More

A Theoretical Analysis of the BDeu Scores in Bayesian Network Structure LearningJul 15 2016Dec 02 2016In Bayesian network structure learning (BNSL), we need the prior probability over structures and parameters. If the former is the uniform distribution, the latter determines the correctness of BNSL. In this paper, we compare BDeu (Bayesian Dirichlet equivalent ... More

A law of large numbers for weighted pluralityJun 27 2011May 30 2012Consider an election between k candidates in which each voter votes randomly (but not necessarily independently) and suppose that there is a single candidate that every voter prefers (in the sense that each voter is more likely to vote for this special ... More

Breakdown of analyticity for d-bar-b and Szego kernelsJul 29 1996The CR manifold M_m = { Im z_2= Re z_1^{2m} } (m=2,3,...) is the counterexample, which has been given by M. Christ and D. Geller, to analytic hypoellipticity of d-bar-b and real analyticity of the Szego kernel. In order to give a direct interpretation ... More

Latent heat of the large N finite temperature phase transitionJul 04 2005Reduced large N gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero temperature, infinite ... More

Absence of Physical Walls in Hot Gauge TheoriesOct 18 1995This paper shows that there are no {\em physical} walls in the deconfined, high-temperature phase of $Z(2)$ lattice gauge theory. In a Hamiltonian formulation, the interface in the Wilson lines is not physical. The line interface and its energy are interpreted ... More

Zassenhaus Conjecture for Integral Group Rings of Simple Linear GroupsDec 01 2015We prove that the Zassenhaus conjecture is true for $PSL(2,8)$ and $PSL(2,17)$. This is a continuation of research initiated by W. Kimmerle, M. Hertweck and C. H\"ofert.

Singularities of the Bergman kernel for certain weakly pseudoconvex domainsJun 26 1996Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2m_j}<1 \}$, where $m=(m_1,\ldots,m_n) \in \Natl^n$ and $m_n \neq 1$. Let $z^0 \in \partial \ellip$ be any weakly pseudoconvex point, $k \in \Natl$ the ... More

CP and T violation test in neutrino oscillationJan 16 1997I examine how large violation of CP and T is allowed in long base line neutrino experiments. When we attribute both the atmospheric neutrino anomaly and the solar neutrino deficit to neutrino oscillation we may have a sizable T violation effect proportional ... More

Absence of Physical Walls in Hot Gauge TheoriesAug 15 1996This paper shows that there are no physical walls in the deconfined, high-temperature phase of Z(2) lattice gauge theory. In a Hamiltonian formulation, the interface in the Wilson lines is not physical. The line interface and its energy are interpreted ... More

Modeling mass independent of anisotropySep 01 2010By manipulating the spherical Jeans equation, Wolf et al. (2010) show that the mass enclosed within the 3D deprojected half-light radius r_1/2 can be determined with only mild assumptions about the spatial variation of the stellar velocity dispersion ... More

The norm of the non-self-adjoint harmonic oscillator semigroupDec 08 2015May 17 2016We identify the norm of the semigroup generated by the non-self-adjoint harmonic oscillator acting on $L^2(\Bbb{R})$, for all complex times where it is bounded. We relate this problem to embeddings between Gaussian-weighted spaces of holomorphic functions, ... More

The Hannan-Quinn Proposition for Linear RegressionDec 20 2010We consider the variable selection problem in linear regression. Suppose that we have a set of random variables $X_1,...,X_m,Y,\epsilon$ such that $Y=\sum_{k\in \pi}\alpha_kX_k+\epsilon$ with $\pi\subseteq \{1,...,m\}$ and $\alpha_k\in {\mathbb R}$ unknown, ... More

Microfabrication techniques for trapped ion quantum information processingAug 12 2010Quantum-mechanical principles can be used to process information (QIP). In one approach, linear arrays of trapped, laser cooled ion qubits (two-level quantum systems) are confined in segmented multi-zone electrode structures. The ion trap approach to ... More

String Partons and Multiple QuantisationSep 16 1996I consider an algebraic construction of creation and annihilation operators for superstring and p-brane parton models. The result can be interpreted as a realisation of multiple quantisation and suggests a relationship between quantisation and dimension. ... More

MALDIquant: a versatile R package for the analysis of mass spectrometry dataMar 27 2012Jul 04 2012Summary: MALDIquant is an R package providing a complete and modular analysis pipeline for quantitative analysis of mass spectrometry data. MALDIquant is specifically designed with application in clinical diagnostics in mind and implements sophisticated ... More

Two-Pion Exchange in Proton-Proton ScatteringJun 21 2006The contribution of the box and crossed two-pion-exchange diagrams to proton-proton scattering at 90$^{\circ}_{c.m.}$ is calculated in the laboratory momentum range up to 12 GeV/c. Relativistic form factors related to the nucleon and pion size and representing ... More

Two-Pion Exchange in proton-proton ScatteringAug 15 2001We present calculations of the two-pion-exchange contribution to proton-proton scattering at 90 degrees using form factors appropriate for representing the distribution of the constituent partons of the nucleon. Talk given at MENU2001, George Washington ... More

Partial-wave analysis of $K^+$ nucleon scatteringNov 27 2006Feb 06 2007We have performed a partial-wave analysis of K$^+$-nucleon scattering in the momentum range from 0 to 1.5 GeV/c addressing the uncertainties of the results and comparing them with several previous analyses. It is found that the treatment of the reaction ... More

Intermediate Tail Dependence: A Review and Some New ResultsDec 04 2012The concept of intermediate tail dependence is useful if one wants to quantify the degree of positive dependence in the tails when there is no strong evidence of presence of the usual tail dependence. We first review existing studies on intermediate tail ... More

Projectively deformable Legendrian surfacesJul 21 2011Consider an immersed Legendrian surface in the five dimensional complex projective space equipped with the standard homogeneous contact structure. We introduce a class of fourth order projective Legendrian deformation called \emph{$\,\Psi$-deformation}, ... More

Robust Optimality of Gaussian Noise StabilityOct 15 2012Feb 22 2013We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almost optimally noise stable must be close to a half-space. This extends a ... More

Robust dimension free isoperimetry in Gaussian spaceFeb 19 2012Jun 04 2015We prove the first robust dimension free isoperimetric result for the standard Gaussian measure $\gamma_n$ and the corresponding boundary measure $\gamma_n^+$ in $\mathbb {R}^n$. The main result in the theory of Gaussian isoperimetry (proven in the 1970s ... More

On the Abundance Problem for $3$-folds in characteristic $p>5$Oct 11 2016In this article we prove two cases of the abundance conjecture for $3$-folds in characteristic $p>5$: $(i)$ $(X, \Delta)$ is KLT and $\kappa(X, K_X+\Delta)=1$, and $(ii)$ $(X, 0)$ is KLT, $K_X\equiv 0$ and $X$ is not uniruled.

Asymptotic limit of oscillatory integrals with certain smooth phasesOct 12 2016We give an exact result about the asymptotic limit of an oscillatory integral whose phase contains a certain flat term. Corresponding to the real analytic phase case, one can see an essential difference in the behavior of the above oscillatory integral. ... More

The GraviGUT Algebra Is not a Subalgebra of $E_8$, but $E_8$ Does Contain an Extended GraviGUT AlgebraMay 29 2013Jul 08 2014The (real) GraviGUT algebra is an extension of the $\mathfrak{spin}(11,3)$ algebra by a $64$-dimensional Lie algebra, but there is some ambiguity in the literature about its definition. Recently, Lisi constructed an embedding of the GraviGUT algebra into ... More

Neutrino Masses and Lepton-Flavor Violation in Supersymmetric Models with lopsided Froggatt-Nielsen chargesDec 25 2000We analyze in detail lepton-flavor violation (LFV) in the charged-lepton sector such as $\mu \to e \gamma$, $\tau \to \mu \gamma$, $\mu \to eee$ and the $\mu \to e$ conversion in nuclei, within the framework of supersymmetric models with lopsided Froggatt--Nielsen ... More

Signature of the Minimal Supersymmetric Standard Model with Right-Handed Neutrinos in Long Baseline ExperimentsFeb 14 2005The effective interactions which violate a lepton flavor accompanied with neutrinos (nLFV) are considered. Such a new physics effect is expected to be measured in future neutrino oscillation experiments with long baseline. They are induced by radiative ... More

Degree 3 algebraic minimal surfaces in the 3-sphereAug 23 2011We give a local analytic characterization that a minimal surface in the 3-sphere $\, \ES^3 \subset \R^4$ defined by an irreducible cubic polynomial is one of the Lawson's minimal tori. This provides an alternative proof of the result by Perdomo (\emph{Characterization ... More

Rational Points on QuarticsSep 03 1998Let $S \subset \P^n$ be a smooth quartic hypersurface defined over a number field $K$. If $n \ge 4$, then for some finite extension $K'$ of $K$ the set $S(K')$ of $K'$-rational points of $S$ is Zariski dense.

Hubble Diagram Dispersion From Large-Scale StructureFeb 04 2009Jun 18 2009We consider the effects of large structures in the Universe on the Hubble diagram. This problem is treated non-linearly by considering a Swiss Cheese model of the Universe in which under-dense voids are represented as negatively curved regions of space-time. ... More

Enumerating curves on rational surfaces: the rational fibration methodAug 22 1996A new, simple method to approach enumerative questions about rational curves on rational surfaces is described. Applications include a short proof of Kontsevich's formula for plane curves and a the solution of the analogous problem for the Hirzebruch ... More

Numerical Implicitization for Macaulay2Oct 10 2016We present the Macaulay2 package NumericalImplicitization, which allows for user-friendly computation of the basic invariants of the image of a polynomial map, such as dimension, degree, and Hilbert function values. This package relies on methods of numerical ... More

Bethe Ansatz for a Quantum Supercoset Sigma ModelAug 30 2005Sep 09 2005We study an integrable conformal OSp(2m + 2|2m) supercoset model as an analog to the AdS_5 X S^5 superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle density in an SU(2) sector, ... More

A hydrodynamic limit theorem for a minimal model of grain boundary evolutionAug 09 2016Sep 15 2016We prove exponential concentration estimates and a strong law of large numbers for a particle system that is the simplest representative of a general class of models for 2D grain boundary coarsening. The system consists of $n$ particles in $(0,\infty)$ ... More

Subelliptic boundary value problems and The $G$-Fredholm PropertySep 08 2009Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and $M$ be the total space of a principal bundle $G\to M\to X$ so that $M$ is also a complex manifold satisfying a local subelliptic estimate. In this work, we show that if $G$ acts ... More

A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundlesDec 21 2009Let $M$ be a strongly pseudoconvex complex $G$-manifold with compact quotient $M/G$. We provide a simple condition on forms $\alpha$ sufficient for the regular solvability of the equation $\square u=\alpha$ and other problems related to the $\bar\partial$-Neumann ... More

Approximating (Unweighted) Tree Augmentation via Lift-and-Project, Part IIJul 06 2015Aug 29 2015In Part II, we study the unweighted Tree Augmentation Problem (TAP) via the Lasserre (Sum~of~Squares) system. We prove that the integrality ratio of an SDP relaxation (the Lasserre tightening of an LP relaxation) is $\leq \frac{3}{2}+\epsilon$, where ... More

Toric resolution of singularities in a certain class of $C^{\infty}$ functions and asymptotic analysis of oscillatory integralsAug 20 2012In a seminal work of A. N. Varchenko, the behavior at infinity of oscillatory integrals with real analytic phase is precisely investigated by using the theory of toric varieties based on the geometry of the Newton polyhedron of the phase. The purpose ... More

Early-time velocity autocorrelation for charged particles diffusion and drift in static magnetic turbulenceJun 27 2012Using test-particle simulations, we investigate the temporal dependence of the two-point velocity correlation function for charged particles scattering in a time-independent spatially fluctuating magnetic field derived from a three-dimensional isotropic ... More

Radiative Transfer and Flux TheorySep 04 2012Sep 06 2012The fundamental notions of radiative transfer, e.g., Lambert's cosine rule, are studied from the point of view of flux and stress theory of continuum mechanics. For the classical case, where the radiance is distributed regularly over the unit sphere, ... More

A First-Landau-Level Laughlin/Jain Wave Function for the Fractional Quantum Hall EffectOct 23 1995Apr 11 1996We show that the introduction of a more general closed-shell operator allows one to extend Laughlin's wave function to account for the richer hierarchies (1/3, 2/5, 3/7 ...; 1/5, 2/9, 3/13, ..., etc.) found experimentally. The construction identifies ... More

Erupting filaments with large enclosing flux tubes as sources of high-mass 3-part CMEs, and erupting filaments in the absence of enclosing flux tubes as sources of low-mass unstructured CMEsJun 10 2016The 3-part appearance of many CMEs arising from erupting filaments emerges from a large magnetic flux tube structure, consistent with the form of the erupting filament system. Other CMEs arising from erupting filaments lack a clear 3-part structure and ... More

Observational Constraints on Open Inflation ModelsAug 27 1996Mar 28 1997We discuss observational constraints on models of open inflation. Current data from large-scale structure and the cosmic microwave background prefer models with blue spectra and/or Omega_0 >= 0.3--0.5. Models with minimal anisotropy at large angles are ... More

Unitary Units of The Group Algebra ${\mathbb{F}}_{2^k}Q_{8}$May 28 2009The structure of the unitary unit group of the group algebra ${\F}_{2^k} Q_{8}$ is described as a Hamiltonian group.

Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace modelOct 03 2014Sep 04 2015A spacetime condensation phenomenon underlies the emergence of a macroscopic universe in causal dynamical triangulations, where the time extension of the condensate is strictly smaller than the total time. It has been known for some time that the volumes ... More

Imposing causality on a matrix modelDec 22 2008Jun 28 2009We introduce a new matrix model that describes Causal Dynamical Triangulations (CDT) in two dimensions. In order to do so, we introduce a new, simpler definition of 2D CDT and show it to be equivalent to the old one. The model makes use of ideas from ... More

The subalgebras of $\mathfrak{so}(4,\mathbb{C})$Mar 06 2015We classify the solvable subalgebras, semisimple subalgebras, and Levi decomposable subalgebras of $\mathfrak{so}(4,\mathbb{C})$, up to inner automorphism. By Levi's Theorem, this is a full classification of the subalgebras of $\mathfrak{so}(4,\mathbb{C})$. ... More

$p$-adic $L$-functions on Hida FamiliesJul 07 2015Jul 08 2015A major theme in the theory of $p$-adic deformations of automorphic forms is how $p$-adic $L$-functions over eigenvarieties relate to the geometry of these eigenvarieties. In this article we prove results in this vein for the ordinary part of the eigencurve ... More

Localized enhancements of energetic particles at oblique collisionless shocksFeb 09 2015We investigate the spatial distribution of charged particles accelerated by non-relativistic oblique fast collisionless shocks using three-dimensional test-particle simulations. We find that the density of low-energy particles exhibit a localised enhancement ... More

The Lebesgue Universal Covering ProblemFeb 04 2015Sep 19 2015In 1914 Lebesgue defined a "universal covering" to be a convex subset of the plane that contains an isometric copy of any subset of diameter 1. His challenge of finding a universal covering with the least possible area has been addressed by various mathematicians: ... More

Noise Stability and Correlation with Half SpacesMar 06 2016Benjamini, Kalai and Schramm showed that a monotone function $f : \{-1,1\}^n \to \{-1,1\}$ is noise stable if and only if it is correlated with a half-space (a set of the form $\{x: \langle x, a\rangle \le b\}$). We study noise stability in terms of correlation ... More

Formal Killing fields for minimal Lagrangian surfaces in complex space formsNov 11 2013Sep 03 2014The differential system for minimal Lagrangian surfaces in a $2_{\mathbb{C}}$-dimensional, non-flat, complex space form is an elliptic system defined on the bundle of oriented Lagrangian planes. This is a 6-symmetric space associated with the Lie group ... More

On weak and strong solution operators for evolution equations coming from quadratic operatorsSep 03 2014Jul 12 2016We identify, through a change of variables, solution operators for evolution equations with generators given by certain simple first-order differential operators acting on Fock spaces. This analysis applies, through unitary equivalence, to a broad class ... More

An extension of heat hierarchyJan 19 2014We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra $\mathfrak{A}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension property of ... More

Free resolutions of algebrasOct 19 2012Given an algebra A, presented by generators and relations, i.e. as a quotient of a tensor algebra by an ideal, we construct a free algebra resolution of A, i.e. a differential graded algebra which is quasi-isomorphic to A and which is itself a tensor ... More

Hydrostatic equilibrium of a porous intracluster medium: implications for mass fraction and X-ray luminosityNov 08 2007Sep 18 2008The presence of dilute hot cavities in the intracluster medium (ICM) at the cores of clusters of galaxies changes the relation between gas temperature and its X-ray emission properties. Using the hydrostatic equations of a porous medium we solve for the ... More

Rational curves on hypersurfaces of low degree, IIJul 27 2002This is a continuation of "Rational curves on hypersurfaces of low degree", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of degree d, for each degree e the space of rational curves of degree e on ... More

Approximating (Unweighted) Tree Augmentation via Lift-and-Project (Part 0: $1.8+ε$ approximation for (Unweighted) TAP)Apr 04 2016We study the unweighted Tree Augmentation Problem (TAP) via the Lasserre (Sum of Squares) system. We prove an approximation guarantee of ($1.8+\epsilon$) relative to an SDP relaxation, which matches the combinatorial approximation guarantee of Even, Feldman, ... More

Approximating (Unweighted) Tree Augmentation via Lift-and-Project, Part I: Stemless TAPAug 29 2015In Part I, we study a special case of the unweighted Tree Augmentation Problem (TAP) via the Lasserre (Sum of Squares) system. In the special case, we forbid so-called stems; these are a particular type of subtree configuration. For stemless TAP, we prove ... More

The subalgebras of $A_2$Sep 03 2015A classification of the semisimple subalgebras of the Lie algebra of traceless $3\times 3$ matrices with complex entries, denoted $A_2$, is well-known. We classify its nonsemisimple subalgebras, thus completing the classification of the subalgebras of ... More

The monodromy of $F$-isocrystals with log-decayDec 04 2016Let U be a smooth geometrically connected affine curve over $\mathbb{F}_p$ with compactification X. Following Dwork and Katz, a $p$-adic representation $\rho$ of $\pi_1(U)$ corresponds to an \'etale $F$-isocrystal. By work of Tsuzuki and Crew an $F$-isocrystal ... More

Equivariant mirrors and the Virasoro conjecture for flag manifoldsOct 24 2002We found an explicit description of all $GL(n,\RR)$-Whittaker functions as oscillatory integrals and thus constructed equivariant mirrors of flag manifolds. As a consequence we proved the Virasoro conjecture for flag manifolds.

On the topology of algebraic surfaces and reduction modulo pApr 05 2002May 08 2002We observe that the oriented homeomorphism type of a simply- connected smooth projective surface is determined by its algebraic structure modulo an odd prime of good reduction.

Parameter spaces for curves on surfaces and enumeration of rational curvesAug 22 1996We answer some enumerative questions about irreducible rational curves on Hirzebruch surfaces, by combining an idea of Kontsevich with the study of the geometry of certain natural parameter spaces. Our formulas generalize Kontsevich's formula for rational ... More

The Acceleration of Thermal Protons at Parallel Collisionless Shocks: Three-dimensional Hybrid SimulationsMar 21 2013Jul 08 2013We present three-dimensional hybrid simulations of collisionless shocks that propagate parallel to the background magnetic field to study the acceleration of protons that forms a high-energy tail on the distribution. We focus on the initial acceleration ... More

Lepton Flavor Violation in a Long Baseline ExperimentOct 29 2004Feb 16 2005We evaluate the size of a coupling for a lepton flavor violating interaction with neutrinos (nLFV) in the minimal supersymmetric standard model with right-handed neutrinos (MSSMRN). It is expected that the nLFV interactions are detected in a long baseline ... More

R-Parity Violation in a SUSY GUT Model and Radiative Neutrino MassesMay 26 2003Jul 11 2003Within the framework of an SU(5) SUSY GUT model, a mechanism which effectively induces R-parity-violating terms below the unification energy scale M_X is proposed. The model has matter fields \bar{5}_{L(+)}+10_{L(-)} and Higgs fields H_{(-)} and \bar{H}_{(+)} ... More

CP- and T-Violation Effects in Long Baseline Neutrino Oscillation ExperimentsJul 01 1997Aug 03 1999We examine how large CP- and T-violation effects are allowed in long baseline neutrino experiments with three generations of neutrinos, considering both the solar neutrino deficit and the atmospheric neutrino anomaly. We considerd two cases: When we attribute ... More

A way to crosscheck $μ$-$e$ conversion in the case of no signals of $μ\to e γ$ and $μ\to 3e$Sep 05 2014We consider the case that $\mu$-$e$ conversion signal is discovered but other charged lepton flavor violating (cLFV) processes will never be found. In such a case, we need other approaches to confirm the $\mu$-$e$ conversion and its underlying physics ... More

Standard(-like) Model from an SO(12) Grand Unified Theory in six-dimensions with $S_2$ extra-spaceOct 06 2008Mar 09 2009We analyze a gauge-Higgs unification model which is based on a gauge theory defined on a six-dimensional spacetime with an $S^2$ extra-space. We impose a symmetry condition for a gauge field and non-trivial boundary conditions of the $S^2$. We provide ... More

Yet another correlation in the analysis of CP violation using a neutrino oscillation experimentNov 07 2002We investigate the effect induced by variations in the density profile of the Earth's interior using a long-baseline neutrino oscillation experiment. At first, we point out two facts. (i) The most essential part of the matter profile is the first Fourier ... More

Duality of a Supersymmetric Standard Model without R parityNov 23 1995Recently one of the authors proposed a dual theory of a Supersymmetric Standard Model (SSM), in which it is naturally understood that at least one quark (the top quark) should be heavy, i.e., almost the same order as the weak scale, and the supersymmetric ... More

The massive black hole-velocity dispersion relation and the halo baryon fraction: a case for positive AGN feedbackApr 06 2010Sep 30 2010Force balance considerations put a limit on the rate of AGN radiation momentum output, $L/c$, capable of driving galactic superwinds and reproducing the observed $\mbh -\sigma $ relation between black hole mass and spheroid velocity dispersion. We show ... More

Computation of the string tension in four-dimensional Yang-Mills theory using large N reductionAug 11 2009Oct 23 2009Continuum reduction and Monte Carlo simulation are used to calculate the heavy quark potential and the string tension in large N Yang-Mills theory in four dimensions. The potential is calculated out to a separation of nine lattice units on a lattice with ... More

The moving particle lemma for the exclusion process on a weighted graphJun 05 2016Jun 10 2016We prove a version of the moving particle lemma for the exclusion process on any finite connected weighted graph, based on the octopus inequality of Caputo, Liggett, and Richthammer. In light of their proof of Aldous' spectral gap conjecture, we conjecture ... More