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Slices and TransfersMar 09 2010We study the slice filtration for S^1-spectra over a field k, and raise a number of questions regardings its properties. We show that the slices, except for the 0th slice, admit a further filtration whose layers are in a natural way the Eilenberg-Maclane ... More

A comparison of motivic and classical homotopy theoriesDec 31 2011Mar 07 2013Let k be an algebraically closed field of characteristic zero. Let SH(k) denote the motivic stable homotopy category of T-spectra over k and SH the classical stable homotopy category. Let c:SH -> SH(k) be the functor induced by sending a space to the ... More

The slice filtration and Grothendieck-Witt groupsDec 27 2010Let k be a perfect field of characteristic different from two. We show that the filtration on the Grothendieck-Witt group GW(k) induced by the slice filtration for the sphere spectrum in the motivic stable homotopy category is the I-adic filtration, where ... More

Algebraic cobordismApr 15 2003Together with F. Morel, we have constructed in \cite{CR, Cobord1, Cobord2} a theory of {\em algebraic cobordism}, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main ... More

Linear and nonlinear susceptibilities of a decoherent two-level systemFeb 19 2000The linear and nonlinear dynamical susceptibilities of a two level system are calculated as it undergoes a transition to a decoherent state. Analogously to the Glover-Tinkham-Ferrell sum rule of superconductivity, spectral weight in the linear susceptibility ... More

Smooth motivesJul 14 2008Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme $S$ generated by the motives of smooth projective $S$-schemes, assuming that $S$ is itself smooth over ... More

Threshold state and a conjecture of Poghosyan, Poghosyan, Priezzhev and RuelleFeb 13 2014May 29 2014We prove a precise relationship between the threshold state of the fixed-energy sandpile and the stationary state of Dhar's abelian sandpile: In the limit as the initial condition tends to negative infinity, the former is obtained by size-biasing the ... More

Addendum and correction to: Homology cylinders: an enlargement of the mapping class groupJul 30 2002Dec 31 2002In a previous paper [Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243--270, arXiv:math.GT/0010247], a group H_g of homology cylinders over the oriented surface of genus g is defined. A filtration of H_g ... More

Sandpile groups and spanning trees of directed line graphsJun 15 2009Apr 06 2010We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associated to a directed graph, whose order is the number of oriented spanning trees rooted ... More

Oriented cohomology, Borel-Moore homology and algebraic cobordismJul 14 2008We examine various versions of oriented cohomology and Borel-Moore homology theories in algebraic geometry and put these two together in the setting of an "oriented duality theory", a generalization of Bloch-Ogus twisted duality theory. This combines ... More

Motivic Landweber exact theories and their effective coversJan 01 2014Jan 01 2015Let $k$ be a field of characteristic zero and let $(F,R)$ be a Landweber exact formal group law. We consider a Landweber exact $T$-spectrum $\mathcal{E}:=R\otimes_{\mathbb{L}}\text{MGL}$ and its effective cover $f_0\mathcal{E}\to \mathcal{E}$ with respect ... More

Comparison of cobordism theoriesJul 14 2008Relying on results of Hopkins-Morel, we show that, for $X$ a quasi-projective variety over a field of characteristic zero, the canonical map $\Omega_n(X)\to MGL_{2n,n}'(X)$ is an isomorphism. Here $\Omega_*(X)$ is the theory of algebraic cobordism defined ... More

Motivic Tubular NeighborhoodsSep 21 2005Oct 25 2005We construct motivic versions of the classical tubular neighborhood and the punctured tubular neighborhood, and give applications to the construction of tangential base-points for mixed Tate motives, algebraic gluing of curves with boundary components, ... More

Entanglement entropy in a boundary impurity modelAug 16 2004Nov 30 2004Boundary impurities are known to dramatically alter certain bulk properties of 1+1 dimensional strongly correlated systems. The entanglement entropy of a zero temperature Luttinger liquid bisected by a single impurity is computed using a novel finite ... More

A Factorization of the Conway PolynomialNov 08 1997A string link S can be closed in a canonical way to produce an ordinary closed link L. We also consider a twisted closing which produces a knot K. We give a formula for the Conway polynomial of L as a product of the Conway polynomial of K times a power ... More

Homology cylinders: an enlargement of the mapping class groupOct 26 2000Apr 24 2001We consider a homological enlargement of the mapping class group, defined by homology cylinders over a closed oriented surface (up to homology cobordism). These are important model objects in the recent Goussarov-Habiro theory of finite-type invariants ... More

Convergence of Voevodsky's slice towerDec 31 2011Mar 07 2013We consider Voevodsky's slice tower for a finite spectrum E in the motivic stable homotopy category over a perfect field k. In case k has finite cohomological dimension (in characteristic two, we also require that k is infinite), we show that the slice ... More

Chow's moving lemma and the homotopy coniveau towerOct 10 2005We consider the "homotopy coniveau tower" for an arbitrary cohomology theory on smooth varieties over a field or a Dedekind domain. This tower is a generalization of the construction used by Bloch-Lichtenbaum and Friedlander-Suslin in their studies of ... More

A la Carte of Correlation Models: Which One to Choose?Oct 19 2010In this paper we propose a copula contagion mixture model for correlated default times. The model includes the well known factor, copula, and contagion models as its special cases. The key advantage of such a model is that we can study the interaction ... More

L-series and isomorphisms of number fieldsJan 18 2019Apr 18 2019Two number fields with equal Dedekind zeta function are not necessarily isomorphic. However, if the number fields have equal sets of Dirichlet $L$-series then they \emph{are} isomorphic. We extend this result by showing that the isomorphisms between the ... More

A Giambelli formula for classical $G/P$ spacesAug 25 2009Mar 30 2014Let $G$ be a classical complex Lie group, $P$ any parabolic subgroup of $G$, and $G/P$ the corresponding partial flag variety. We prove an explicit combinatorial Giambelli formula which expresses an arbitrary Schubert class in the cohomology ring of $G/P$ ... More

Integer complexity: algorithms and computational resultsJun 11 2016Define $\|n\|$ to be the complexity of $n$, the smallest number of ones needed to write $n$ using an arbitrary combination of addition and multiplication. Define $n$ to be stable if for all $k\ge 0$, we have $\|3^k n\|=\|n\|+3k$. In [7], this author and ... More

Intermediate arithmetic operations on ordinal numbersJan 23 2015Apr 21 2016There are two well-known ways of doing arithmetic with ordinal numbers: the "ordinary" addition, multiplication, and exponentiation, which are defined by transfinite iteration; and the "natural" (or Hessenberg) addition and multiplication (denoted $\oplus$ ... More

A solution of Dirichlet problem using second partial derivatives of boundary functionNov 27 2011In Boundary Element Method, Green's function with no boundary conditions is used for solving Laplace's equation with Dirichlet boundary condition. To determine the gradient of solution on the boundary, we need to solve the boundary integral equation numerically ... More

Einstein's aborted attempt at a dynamic steady-state universeFeb 14 2014Feb 24 2014In June 1930 Einstein visited Cambridge where he stayed with Eddington who had just shown that Einstein's supposedly static universe of 1917 was not stable. This forced Einstein to rethink his cosmology. He spent January and February 1931 at Pasadena. ... More

Einstein's conversion from his static to an expanding universeNov 12 2013Mar 24 2014In 1917 Einstein initiated modern cosmology by postulating, based on general relativity, a homogeneous, static, spatially curved universe. To counteract gravitational contraction he introduced the cosmological constant. In 1922 Alexander Friedman showed ... More

L-series and isogenies of abelian varietiesJan 21 2019Apr 18 2019Faltings's isogeny theorem states that two abelian varieties are isogenous over a number field precisely when the characteristic polynomials of the reductions at almost all prime ideals of the number field agree. This implies that two abelian varieties ... More

The connection between representation theory and Schubert calculusJun 29 2003Sep 06 2013We describe a direct connection between the representation theory of the general linear group and classical Schubert calculus on the Grassmannian, which goes via the Chern-Weil theory of characteristic classes. We also explain why the analogous constructions ... More

A Note on Approximate Inverse IterationNov 13 2016Different variants of approximate inverse iteration like the locally optimal block preconditioned conjugate gradient method became in recent years increasingly popular for the solution of the large matrix eigenvalue problems arising from the discretization ... More

Arithmetic Intersection Theory on Flag VarietiesNov 06 1996Let F be the complete flag variety over Spec(Z) with the tautological filtration 0 \subset E_1 \subset E_2 \subset ... \subset E_n=E of the trivial bundle E over F. The trivial hermitian metric on E(\C) induces metrics on the quotient line bundles L_i(\C). ... More

Schubert polynomials and degeneracy locus formulasFeb 18 2016In our previous work arXiv:1305.3543, we employed the approach to Schubert polynomials by Fomin, Stanley, and Kirillov to obtain simple, uniform proofs that the double Schubert polynomials of Lascoux and Schutzenberger and Ikeda, Mihalcea, and Naruse ... More

Theta and eta polynomials in geometry, Lie theory, and combinatoricsJul 27 2018The classical Schur polynomials form a natural basis for the ring of symmetric polynomials, and have geometric significance since they represent the Schubert classes in the cohomology ring of Grassmannians. Moreover, these polynomials enjoy rich combinatorial ... More

Bott-Chern Forms and Arithmetic IntersectionsNov 06 1996Nov 09 1996Let \E : 0 --> S --> E --> Q --> 0 be a short exact sequence of hermitian vector bundles with metrics on S and Q induced from that on E. We compute the Bott-Chern form of \E corresponding to any characteristic class, assuming E is projectively flat. The ... More

Counting rational points and lower bounds for Galois orbitsFeb 06 2018Feb 13 2018In this article we present a new method to obtain polynomial lower bounds for Galois orbits of torsion points of one dimensional group varieties.

Schubert polynomials and Arakelov theory of symplectic flag varietiesAug 09 2008Sep 06 2013Let X be the flag variety of the symplectic group. We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the cohomology ring of X. We use these polynomials to describe the ... More

Schubert polynomials and Arakelov theory of orthogonal flag varietiesJul 19 2009Sep 06 2013We propose a theory of combinatorially explicit Schubert polynomials which represent the Schubert classes in the Borel presentation of the cohomology ring of orthogonal flag varieties. We use these polynomials to describe the arithmetic Schubert calculus ... More

Double eta polynomials and equivariant Giambelli formulasJun 14 2015Dec 20 2016We use Young's raising operators to introduce and study double eta polynomials, which are an even orthogonal analogue of Wilson's double theta polynomials. Our double eta polynomials give Giambelli formulas which represent the equivariant Schubert classes ... More

Giambelli and degeneracy locus formulas for classical G/P spacesMay 15 2013Feb 13 2016Let G be a classical complex Lie group, P any parabolic subgroup of G, and X = G/P the corresponding homogeneous space, which parametrizes (isotropic) partial flags of subspaces of a fixed vector space. In the mid 1990s, Fulton, Pragacz, and Ratajski ... More

Dynamic instabilities of fracture under biaxial strain using a phase field modelFeb 23 2004Jun 11 2004We present a phase field model of the propagation of fracture under plane strain. This model, based on simple physical considerations, is able to accurately reproduce the different behavior of cracks (the principle of local symmetry, the Griffith and ... More

Unicellular algal growth: A biomechanical approach to cell wall dynamicsMay 07 1997We present a model for unicellular algal growth as motivated by several experiments implicating the importance of calcium ions and ``loosening'' enzymes in morphogenesis. A growing cell at rest in a diffusive calcium solution is viewed as an elastic shell ... More

Finite type 3-manifold invariants and the structure of the Torelli group IMar 14 1996May 09 1997Using the recently developed theory of finite type invariants of integral homology 3-spheres we study the structure of the Torelli group of a closed surface. Explicitly, we construct (a) natural cocycles of the Torelli group (with coefficients in a space ... More

Concordance and 1-loop cloversFeb 13 2001Nov 20 2001We show that surgery on a connected clover (or clasper) with at least one loop preserves the concordance class of a knot. Surgery on a slightly more special class of clovers preserves invertible concordance. We also show that the converse is false. Similar ... More

Homology surgery and invariants of 3-manifoldsMay 30 2000Jun 24 2001We introduce a homology surgery problem in dimension 3 which has the property that the vanishing of its algebraic obstruction leads to a canonical class of \pi-algebraically-split links in 3-manifolds with fundamental group \pi . Using this class of links, ... More

On Finite Type 3-Manifold Invariants IIJun 12 1995This paper continues the study of finite-type invariants of homology spheres studied by Ohtsuki and Garoufalidis. We apply the surgery classification of links to give a diagrammatic description, using ideas of Ohtsuki. This uses a computation of the surgery ... More

On a spectral sequence for equivariant K-theoryNov 15 2005Nov 19 2005We apply the machinery developed by the first-named author to the K-theory of coherent G-sheaves on a finite type G-scheme X over a field, where G is a finite group. This leads to a definition of G-equivariant higher Chow groups (different from the Chow ... More

Stochastic fluctuations in metabolic pathwaysApr 13 2007Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of downstream targets ... More

The gap of the area-weighted Motzkin spin chain is exponentially smallNov 10 2016We prove that the energy gap of the model proposed by Zhang, Ahmadain, and Klich [1] is exponentially small in the square of the system size. In [2] a class of exactly solvable quantum spin chain models was proposed that have integer spins ($s$), with ... More

Slicing mixed Bing-Whitehead doublesDec 28 2009Aug 20 2010We show that if K is any knot whose Ozsvath-Szabo concordance invariant tau(K) is positive, the all-positive Whitehead double of any iterated Bing double of K is topologically but not smoothly slice. We also show that the all-positive Whitehead double ... More

Computing Knot Floer Homology in Cyclic Branched CoversSep 10 2007Dec 09 2007We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K in its m-fold cyclic branched cover Sigma^m(K), and we give computations when m=2 for over fifty three-bridge knots with up to eleven ... More

Tate motives and the fundamental groupAug 29 2007Let k be a number field, and let S be a finite set of k-rational points of P^1. We relate the Deligne-Goncharov contruction of the motivic fundamental group of X:=P^1_k- S to the Tannaka group scheme of the category of mixed Tate motives over X.

Ordered amorphous spin systemFeb 20 2013Jul 12 2014A solid is typically deemed amorphous when there are no Bragg peaks in its diffraction pattern. We discuss a two dimensional configuration of Ising spins with an autocorrelation function which vanishes at all nonzero distances, so that its scattering ... More

Drive for CreativityMar 11 2011We advance a hypothesis that creativity has evolved with evolution of internal representations, possibly from amniotes to primates, and further in human cultural evolution. Representations separated sensing from acting and gave "internal room" for creativity. ... More

Resampling Method For Unsupervised Estimation Of Cluster ValidityMay 18 2000We introduce a method for validation of results obtained by clustering analysis of data. The method is based on resampling the available data. A figure of merit that measures the stability of clustering solutions against resampling is introduced. Clusters ... More

Correlation and response in a driven dissipative modelJan 30 2006We consider a simple dissipative system with spatial structure in contact with a heat bath. The system always exhibits correlations except in the cases of zero and maximal dissipation. We explicitly calculate the correlation function and the nonlocal ... More

Spherical Asymptotics for the Rotor-Router Model in Z^dMar 14 2005The rotor-router model is a deterministic analogue of random walk invented by Jim Propp. It can be used to define a deterministic aggregation model analogous to internal diffusion limited aggregation. We prove an isoperimetric inequality for the exit ... More

The Steinberg CurveJun 16 1999We construct 0-cycles on the product of 2 elliptic curves, which are not detectable by Bloch's analytic motivic cohomology.

Motivic Gauß-Bonnet formulasAug 25 2018Feb 06 2019The apparatus of motivic stable homotopy theory provides a notion of Euler characteristic for smooth projective varieties, valued in the Grothendieck-Witt ring of the base field. Previous work of the first author and recent work of D\'eglise-Jin-Khan ... More

The Rotor-Router Model on Regular TreesMay 10 2007Jul 24 2008The rotor-router model is a deterministic analogue of random walk. It can be used to define a deterministic growth model analogous to internal DLA. We show that the set of occupied sites for this model on an infinite regular tree is a perfect ball whenever ... More

A Thermodynamic Model for Receptor ClusteringAug 06 1999Intracellular signaling often arises from ligand-induced oligomerization of cell surface receptors. This oligomerization or clustering process is fundamentally a cooperative behavior between near-neighbor receptor molecules; the properties of this cooperative ... More

Activity-dependent stochastic resonance in recurrent neuronal networksJun 10 2008We use a biophysical model of a local neuronal circuit to study the implications of synaptic plasticity for the detection of weak sensory stimuli. Networks with fast plastic coupling show behavior consistent with stochastic resonance. Addition of an additional ... More

Wave nucleation rate in excitable systems in the low noise limitJan 08 2003Motivated by recent experiments on intracellular calcium dynamics, we study the general issue of fluctuation-induced nucleation of waves in excitable media. We utilize a stochastic Fitzhugh-Nagumo model for this study, a spatially-extended non-potential ... More

Interfacial Velocity Corrections due to Multiplicative NoiseNov 02 1998The problem of velocity selection for reaction fronts has been intensively investigated, leading to the successful marginal stability approach for propagation into an unstable state. Because the front velocity is controlled by the leading edge which perforce ... More

Connective algebraic K-theoryDec 02 2012We examine the theory of connective algebraic K-theory, CK, defined by taking the -1 connective cover of algebraic K-theory with respect to Voevodsky's slice tower in the motivic stable homotopy category. We extend CK to a bi-graded oriented duality theory ... More

Motives of Azumaya algebrasOct 08 2007Feb 17 2008We study the slice filtration for the K-theory of a sheaf of Azumaya algebras A, and for the motive of a Severi-Brauer variety, the latter in the case of a central simple algebra of prime degree over a field. Using the Beilinson-Lichtenbaum conjecture, ... More

Correlation length for amorphous systemsApr 30 2009Crystals and quasicrystals can be characterized by an order that is a purely geometric property of an instantaneous configuration, independent of particle dynamics or interactions. Glasses, on the other hand, are ostensibly amorphous arrangements of particles. ... More

The helix--coil transition on the worm--like chainJan 30 2004I propose a variation of the standard worm--like chain model to account for internal order parameter (helix/coil) fields on the polymer chain. This internal order parameter field influences polymer conformational statistics by locally modifying the persistence ... More

Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphismApr 20 1999Oct 14 2003Two references added and the introduction slightly expanded. We show that the tree-level part of a recent theory of invariants of 3-manifolds (due, independently, to Goussarov and Habiro) is essentially given by classical algebraic topology in terms of ... More

On Finite Type 3-manifold invariants IV: Comparison of DefinitionsSep 27 1995Sep 27 1995This paper compares the definitions of finite-type invariants due to Ohtsuki and to Garoufalidis, showing that, residually, type 3m of the former equals type m of the latter. It also shows that type 2m Ohtsuki invariants define knot invariants of type ... More

The looping constant of Z^dJun 11 2011Jul 17 2012The looping constant $\xi(Z^d)$ is the expected number of neighbors of the origin that lie on the infinite loop-erased random walk in $Z^d$. Poghosyan, Priezzhev and Ruelle, and independently, Kenyon and Wilson, proved recently that $\xi(Z^2)=5/4$. We ... More

Non-surjective satellite operators and piecewise-linear concordanceMay 06 2014We exhibit a knot $P$ in the solid torus, representing a generator of first homology, such that for any knot $K$ in the 3-sphere, the satellite knot with pattern $P$ and companion $K$ is not smoothly slice in any homology 4-ball. As a consequence, we ... More

Multi-Eulerian tours of directed graphsSep 21 2015Not every graph has an Eulerian tour. But every finite, strongly connected graph has a multi-Eulerian tour, which we define as a closed path that uses each directed edge at least once, and uses edges e and f the same number of times whenever tail(e)=tail(f). ... More

Generation and manipulation of Schrödinger cat states in Rydberg atom arraysMay 14 2019May 15 2019Quantum entanglement involving coherent superpositions of macroscopically distinct states is among the most striking features of quantum theory, but its realization is challenging, since such states are extremely fragile. Using a programmable quantum ... More

Relatively exchangeable structuresSep 22 2015Oct 01 2015We study random relational structures that are \emph{relatively exchangeable}---that is, whose distributions are invariant under the automorphisms of a reference structure $\mathfrak{M}$. When $\mathfrak{M}$ has {\em trivial definable closure}, every ... More

A Monopole MetricOct 18 1996We calculate explicitly in terms of complete elliptic integrals the metric on the moduli space of tetrahedrally-symmetric, charge four, SU(2) monopoles. Using this we verify that in the asymptotic regime the metric of Gibbons and Manton is exact up to ... More

Quantum Verification of Matrix ProductsSep 06 2004Jul 06 2005We present a quantum algorithm that verifies a product of two n*n matrices over any field with bounded error in worst-case time n^{5/3} and expected time n^{5/3} / min(w,sqrt(n))^{1/3}, where w is the number of wrong entries. This improves the previous ... More

An analysis of a class of variational multiscale methods based on subspace decompositionAug 14 2016Numerical homogenization tries to approximate the solutions of elliptic partial differential equations with strongly oscillating coefficients by functions from modified finite element spaces. We present in this paper a class of such methods that are very ... More

Pattern Avoidance for Random PermutationsSep 26 2015We use techniques from Poisson approximation to prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the Poisson distribution and the distribution of the number ... More

Heavy Quark Hadronic Weak Decays from CLEO-IIFeb 19 1994Feb 21 1994We present preliminary results from the CLEO-II collaboration on a variety of hadronic final states of mesons containing heavy quarks. In particular, the pattern of 2-body \B\ decays is now decisively different that that of \D\ and \K\ decays; perhaps ... More

Turnpike Property and Convergence Rate for an Investment and Consumption ModelAug 13 2018We discuss the turnpike property for optimal investment and consumption problems. We find there exists a threshold value that determines the turnpike property for investment policy. The threshold value only depends on the Sharpe ratio, the riskless interest ... More

Lower Bound Approximation to Basket Option Values for Local Volatility Jump-Diffusion ModelsDec 13 2012Oct 12 2013In this paper we derive an easily computed approximation to European basket call prices for a local volatility jump-diffusion model. We apply the asymptotic expansion method to find the approximate value of the lower bound of European basket call prices. ... More

Constrained NonSmooth Utility Maximization on the Positive Real LineOct 19 2010We maximize the expected utility of terminal wealth in an incomplete market where there are cone constraints on the investor's portfolio process and the utility function is not assumed to be strictly concave or differentiable. We establish the existence ... More

Bitangential interpolation in generalized Schur classesJan 09 2009Jul 02 2009Bitangential interpolation problems in the class of matrix valued functions in the generalized Schur class are considered in both the open unit disc and the open right half plane, including problems in which the solutions is not assumed to be holomorphic ... More

Double theta polynomials and equivariant Giambelli formulasOct 30 2014Feb 13 2016We use Young's raising operators to introduce and study double theta polynomials, which specialize to both the theta polynomials of Buch, Kresch, and Tamvakis, and to double (or factorial) Schur S-polynomials and Q-polynomials. These double theta polynomials ... More

Screened fifth forces in parity-breaking correlation functionsApr 28 2019Cross-correlating two different types of galaxy gives rise to parity breaking in the correlation function that derives from differences in the galaxies' properties and environments. This is typically associated with a difference in galaxy bias, describing ... More

Nonclassical interaction-free detection of objects in a monolithic total-internal-reflection resonatorAug 05 1999We show that with an efficiency exceeding 99% one can use a monolithic total-internal-reflection resonator in order to ascertain the presence of an object without transferring a quantum of energy to it. We also propose an experiment on the probabilistic ... More

New method for studying neutrino mixing and mass differencesJan 09 2008Mar 06 2008Neutrino masses and mixing can be investigated by studying the behavior of a radioactive bare nucleus which decays by emitting an electron into the open atomic K shell BEFORE and DURING its weak decay by neutrino emission. The initial nuclear state has ... More

History and new ideas for exotic particlesOct 14 2004Basic 1966 physics of Sakharov, Zeldovich and Nambu updated by QCD with constituent-quark quasiparticles having effective masses fits all masses and magnetic moments of ground state meson and baryons having no more than one strange or heavy quark Flavor ... More

Theoretical Summary of the HADRON99 conferenceNov 04 1999The Constituent Quark Model has provided a remarkable description of the experimentally observed hadron spectrum but still has no firm theoretical basis. Attempts to provide a QCD justification discussed at Hadron99 include QCD Sum Rules, instantons, ... More

A useful approximate isospin equality for charmless strange B DecaysOct 13 1998A useful inequality is obtained if charmless strange B decays are assumed to be dominated by a $\Delta I = 0$ transition like that from the gluonic penguin diagram and the contributions of all other diagrams including the tree, electroweak penguin and ... More

A Symmetry Approach to CP ViolationOct 20 1993One of the greatest challenges for particle physics in the 1990's is understanding the broken symmetry of CP violation. It is now almost 30 years since the discovery in 1964 of the $K_{L} \rightarrow 2\pi$ decay. What has happened since? Why has there ... More

Entangled symmetries explain without QCD dynamics CP violation in neutral B to Kpi decays; not in charged B decays Unexpected isospin relations in charged and neutral decays,Mar 20 2012Jul 23 2012Simple flavor symmetry argument without QCD dynamics shows why CP violation observed in neutral $B$ to $K\pi$ decays is absent in charged B decays where tree diagram final state has two $u$ quarks satisfying Pauli principle. Entanglement preserves short ... More

New Analysis of $B \rightarrow Kπ$ data with Pauli blocking CP violation in $B^o$ decays, not in $B^{\pm}$ SU(3) use of $B \rightarrow ππ$ data invalid for $B \rightarrow Kπ$Jul 10 2011New data analysis with Pauli blocking explains observation of CP violation in $B^o\rightarrow K\pi$ decays, absence in $B^{\pm} \rightarrow K\pi$ decays and gives new predictions agreeing with experiment. Branching ratio data show pure I=1/2 amplitude ... More

Soft FSI Systematics for charmless strange $B^\pm$ DecaysJan 31 1998New results going beyond those obtained from isospin and flavor symmetry and subject to clear experimental tests are obtained for effects of FSI in $B^\pm$ decays to final states containing neutral flavor-mixed mesons like $\omega$, $\phi$, $\eta$ and ... More

Interference Effects in B-Decays to Flavor-Mixed Neutral Mesons - Clues to Small Amplitudes and CP-ViolationJan 27 1993CP violation can be observed in B decays when a given process depends upon interference between two weak amplitudes which have different $CP$-violating phases. Since most weak decay diagrams have quark lines where each has a definite flavor label, neutral ... More

Review of Charm LifetimesDec 10 1999A review of the latest experimental results on charm particle lifetimes is presented. The most significant update is that the D_s^+ lifetime is conclusively larger than the D^0 lifetime and signifies that W-exchange/W-annihilation contributions are large. ... More

The distribution of natural numbers divisible by 2,3,5,11,13 and 17 on the Square Root SpiralJan 29 2008The natural numbers divisible by the Prime Factors 2, 3, 5, 11, 13 and 17 lie on defined spiral graphs, which run through the Square Root Spiral. A mathematical analysis shows, that these spiral graphs are defined by specific quadratic polynomials. Basically ... More

Final State Interactions, Resonances and CP Violation in D and B Exclusive DecaysJul 17 1996Hadron resonances affect nonexotic $D^o$ decays but not $B$ decays which are far from the resonance region. We obtain new information from {\bf exclusive} decays and show that interference between colour favoured and colour suppressed diagrams is {\bf ... More

Constrained Quadratic Risk Minimization via Forward and Backward Stochastic Differential EquationsDec 14 2015In this paper we study a continuous-time stochastic linear quadratic control problem arising from mathematical finance. We model the asset dynamics with random market coefficients and portfolio strategies with convex constraints. Following the convex ... More

The structure of combinatorial Markov processesMar 18 2016May 26 2016Every exchangeable Feller process taking values in a suitably nice combinatorial state space can be constructed by a system of iterated random Lipschitz functions. In discrete time, the construction proceeds by iterated application of independent, identically ... More

Dynamic Provenance for SPARQL UpdateAug 05 2014While the Semantic Web currently can exhibit provenance information by using the W3C PROV standards, there is a "missing link" in connecting PROV to storing and querying for dynamic changes to RDF graphs using SPARQL. Solving this problem would be required ... More