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Results for "Stephen Lars Olsen"

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A New Hadron SpectroscopyNov 28 2014QCD-motivated models for hadrons predict an assortment of "exotic" hadrons that have structures that are more complex than the quark-antiquark mesons and three-quark baryons of the original quark-parton model. These include pentaquark baryons, the six-quark ... More
The XYZ mesons: what they aren'tDec 28 2018Jan 02 2019I discuss the properties of some representative $XYZ$ mesons in the context of the most commonly proposed models for their underlying nature.
Fine and coarse multifractal zeta-functions: On the multifractal formalism for multifractal zeta-functionsNov 20 2014Multifractal analysis refers to the study of the local properties of measures and functions, and consists of two parts: the fine multifractal theory and the coarse multifractal theory. The fine and the coarse theory are linked by a web of conjectures ... More
Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectraSep 30 2013We introduce multifractal pressure and dynamical multifractal zeta-functions providing precise information of a very general class of multifractal spectra, including, for example, the fine multifractal spectra of self-conformal measures and the fine multifractal ... More
Dynamical multifractal zeta-functions and fine multifractal spectra of graph-directed self-conformal constructionsNov 20 2014We introduce multifractal pressure and dynamical multifractal zeta-functions providing precise information of a very general class of multifractal spectra, including, for example, the fine multifractal spectra of graph-directed self-conformal measures ... More
Coincidence and noncoincidence of dimensions in compact subsets of $[0,1]$Dec 22 2018We show that given any six numbers $r,s,t,u,v,w \in (0,1]$ satisfying $r \leq s \leq \min(t,u) \leq \max(t,u) \leq v \leq w$, it is possible to construct a compact subset of $[0,1]$ with Hausdorff dimension equal to $r$, lower modified box dimension equal ... More
Multifractal spectra and multifractal zeta-functionsJul 18 2013We introduce multifractal zeta-functions providing precise information of a very general class of multifractal spectra, including, for example, the multifractal spectra of self-conformal measures and the multifractal spectra of ergodic Birkhoff averages ... More
QCD ExoticsMar 05 2014QCD-motivated models for hadrons predict an assortment of "exotic" hadrons that have structures that are more complex then the quark-antiquark mesons and three-quark baryons of the original quark-parton model. These include pentaquark baryons, the six-quark ... More
History of Belle and some of its lesser known highlightsJan 06 2016I report on the early history of Belle, which was almost entirely focused on testing the Kobayashi Maskawa mechanism for $CP$ violation that predicted large matter-antimatter asymmetries in certain $B$ meson decay modes. Results reported by both BaBar ... More
Recent Results from BaBar, Belle, BESIII and CDFNov 24 2010A brief report of some recent experimental developments concerning the $X$, $Y$ and $Z$ charmoniumlike mesons states and other puzzling states from the BaBar, Belle, BESIII and CDF experiments is presented.
Comment on the X(3915) nonstandard hadron candidateApr 12 2019I review the experimental evidence for the $X(3915)$, the candidate nonstandard meson associated with $\omega J\psi$ resonance-like peaks in $B\rightarrow K\omega J\psi$ and $\gamma\gamma\rightarrow\omega J\psi$ near $M(\omega J\psi)=3920$~MeV, and address ... More
Is the X(3915) the chi_{c0}(2P)?Oct 24 2014The Particle Data Group has assigned the X(3915) meson, an omega J/psi mass peak seen in B-> omega J/psi decays and in two-photon fusion reactions gamma-gamma->omega J/psi, as the chi_{c0}(2P), the 2^3P_0 charmonium state. Here it is shown that if the ... More
XYZ Meson SpectroscopyNov 05 2015Many candidate multiquark mesons, i.e., mesons with substructures that are more complex than the quark-antiquark prescription that is in the textbooks, have recently been observed. Many of the most recently observed candidate states are electrically charged ... More
Properties of non-q\bar{q} XYZ mesons and results of a search for the H-dibaryonJul 16 2013A number of charmonium- and bottomonium-like meson states have been observed that have properties that do not match well to expectations for the simple quark-antiquark substructure suggested by the constituent quark model. Some of them are electrically ... More
The Role of Flavor Physics in the LHC EraSep 01 2014Sep 02 2014Although searches for new physics at the CERN Large Hadron Collider will probably dominate the the agenda of the experimental high energy physics community during the next decade or more, high-intensity experiments at the tau-charm and beauty thresholds ... More
Multiquark HadronsNov 04 2016A number of candidate multiquark hadrons, i.e., particle resonances with substructures that are more complex than the quark-antiquark mesons and three-quark baryons that are prescribed in the textbooks, have recently been observed. In this talk I present: ... More
A variational approach to stable principal component pursuitJun 04 2014We introduce a new convex formulation for stable principal component pursuit (SPCP) to decompose noisy signals into low-rank and sparse representations. For numerical solutions of our SPCP formulation, we first develop a convex variational framework and ... More
The Z Charmoniumlike MesonsJan 12 2011A brief review of the experimental situation concerning the electrically-charged charmoniumlike meson candidates, $Z^-$, is presented.
Non-Standard Heavy Mesons and Baryons, an Experimental ReviewAug 14 2017Quantum Chromodynamics (QCD), the generally accepted theory for the strong interactions, describes the interactions between quarks and gluons. The strongly interacting particles that are seen in nature are hadrons, which are composites of quarks and gluons. ... More
News from BESIIIMar 20 2012BESIII is a new state-of-the-art 4pi detector at the recently upgraded BEPCII two-ring e+e- collider at the Institute of High Energy Physics in Beijing. It has been in operation for three years, during which time it has collected the world's largest data ... More
The Alignment of the Spheres: Globally-Optimal Spherical Mixture Alignment for Camera Pose EstimationDec 04 2018Jun 18 2019Determining the position and orientation of a calibrated camera from a single image with respect to a 3D model is an essential task for many applications. When 2D-3D correspondences can be obtained reliably, perspective-n-point solvers can be used to ... More
Multifractal tubesJul 19 2013Tube formulas refer to the study of volumes of $r$ neighbourhoods of sets. For sets satisfying some (possible very weak) convexity conditions, this has a long history. However, within the past 20 years Lapidus has initiated and pioneered a systematic ... More
Tycoon: an Implementation of a Distributed, Market-based Resource Allocation SystemDec 09 2004Distributed clusters like the Grid and PlanetLab enable the same statistical multiplexing efficiency gains for computing as the Internet provides for networking. One major challenge is allocating resources in an economically efficient and low-latency ... More
The Gravitational Wave Background from Massive Black Hole Binaries in Illustris: spectral features and time to detection with pulsar timing arraysFeb 07 2017May 31 2017Pulsar Timing Arrays (PTA) around the world are using the incredible consistency of millisecond pulsars to measure low frequency gravitational waves from (super)Massive Black Hole (MBH) binaries. We use comprehensive MBH merger models based on cosmological ... More
Incorporating Network Built-in Priors in Weakly-supervised Semantic SegmentationJun 06 2017Pixel-level annotations are expensive and time consuming to obtain. Hence, weak supervision using only image tags could have a significant impact in semantic segmentation. Recently, CNN-based methods have proposed to fine-tune pre-trained networks using ... More
Single Sources in the Low-Frequency Gravitational Wave Sky: properties and time to detection by pulsar timing arraysOct 31 2017We calculate the properties, occurrence rates and detection prospects of individually resolvable 'single sources' in the low frequency gravitational wave (GW) spectrum. Our simulations use the population of galaxies and massive black hole binaries from ... More
Hilbert Bases and Lecture Hall PartitionsMar 06 2017Jun 16 2017In the interest of finding the minimum additive generating set for the set of $\boldsymbol{s}$-lecture hall partitions, we compute the Hilbert bases for the $\boldsymbol{s}$-lecture hall cones in certain cases. In particular, we compute the Hilbert bases ... More
Quarkonium at the Frontiers of High Energy Physics: A Snowmass White PaperJul 29 2013Aug 13 2013In this Snowmass White Paper, we discuss physics opportunities involving heavy quarkonia at the intensity and energy frontiers of high energy physics. We focus primarily on two specific aspects of quarkonium physics for which significant advances can ... More
Charmless Hadronic B Decays at BABARNov 10 2000We present preliminary results of several searches for rare charmless hadronic decays of the B meson using data collected by the BABAR detector at the Stanford Linear Accelerator Center's PEP-II storage ring. We search for the decays h^+h^-, h^+h^-h^+, ... More
Polyhedral geometry for lecture hall partitionsAug 18 2018Lecture hall partitions are a fundamental combinatorial structure which have been studied extensively over the past two decades. These objects have produced new results, as well as reinterpretations and generalizations of classicial results, which are ... More
Geometric Analysis and General RelativityDec 23 2005This article discusses methods of geometric analysis in general relativity, with special focus on the role of "critical surfaces" such as minimal surfaces, marginal surface, maximal surfaces and null surfaces.
Maximal supersymmetry and exceptional groupsJun 08 2010The article is a tribute to my old mentor, collaborator and friend Murray Gell-Mann. In it I describe work by Pierre Ramond, Sung-Soo Kim and myself where we describe the N = 8 Supergravity in the light-cone formalism. We show how the Cremmer-Julia E7(7) ... More
The MSSM with large tan(beta) beyond the decoupling limitOct 02 2009For large values of tan(beta) interesting effects arise in the MSSM due to the enhancement of down-quark self-energies. These effects are well-studied within the decoupling limit, i.e. in the limit of supersymmetric masses far above the electroweak scale. ... More
Skew Hopf algebras, irreducible extensions and the pi-methodJan 15 2007Dec 28 2007To a depth two extension A | B, we associate the dual bialgebroids S := \End {}_BA_B and T := (A \o_B A)^B over the centralizer R=C_A(B). In the set-up where R is a subalgebra of B, which is quite common, two nondegenerate pairings of S and T will define ... More
Normal Hopf subalgebras, depth two and Galois extensionsNov 06 2004Apr 06 2005Let $S$ be the left $R$-bialgebroid of a depth two extension with centralizer $R$ as defined in math.QA/0108067. We show that the left endomorphism ring of depth two extension, not necessarily balanced, is a left $S$-Galois extension of $A^{\rm op}$. ... More
The two subset recurrent property of Markov chainsFeb 23 2016This paper proposes a new type of recurrence where we divide the Markov chains into intervals that start when the chain enters into a subset A, then sample another subset B far away from A and end when the chain again return to A. The length of these ... More
Protostellar accretion traced with chemistry. High resolution C18O and continuum observations towards deeply embedded protostars in PerseusMar 29 2017Context: Understanding how accretion proceeds is a key question of star formation, with important implications for both the physical and chemical evolution of young stellar objects. In particular, very little is known about the accretion variability in ... More
The Exotic XYZ Charmonium-like MesonsJan 25 2008Charmonium, the spectroscopy of c\bar{c} mesons, has recently enjoyed a renaissance with the discovery of several missing states and a number of unexpected charmonium-like resonances. The discovery of these new states has been made possible by the extremely ... More
Hadronic Spectrum - Multiquark StatesJan 16 2009Many newly discovered mesons behave like $\ccbar$ charmonium states in that they preferentially decay into final states that contain a $c$- and a $\bar{c}$-quark, but do not fit expectations for any of the unfilled levels of the conventional $\ccbar$ ... More
What's new with the XYZ mesons?Jan 08 2008Feb 13 2008I review some of the recent experimental results on the so-called XYZ mesons.
New Particles from BelleDec 25 2004Jan 07 2005I report recent results on hidden charm spectroscopy from Belle. These include: observation of a near-threshold enhancement in the omega-J/psi invariant mass distribution for exclusive B-->K omega J/psi decays; evidence for the decay X(3872)-->pi+pi-pi0 ... More
Finite depth and Jacobson-Bourbaki correspondenceJul 25 2007We introduce a notion of depth three tower of three rings C < B < A with depth two ring extension A | B recovered when B = C. If A = \End B_C and B | C is a Frobenius extension, this captures the notion of depth three for a Frobenius extension in arXiv:math/0107064 ... More
Modelling dust processing and the evolution of grain sizes in the ISM using the method of momentsJun 07 2016Interstellar dust grains do not have a single well-defined origin. Stars are demonstrably dust producers, but also efficient destroyers of cosmic dust. Dust destruction in the ISM is believed to be the result of SN shocks hitting the ambient ISM gas (and ... More
Maximally Supersymmetric Yang-Mills Theory. The Story of N = 4 Yang-Mills TheoryNov 10 2015This is a personally colored account of the history behind N=4 Yang-Mills Theory.
Ext and Tor on two-dimensional cyclic quotient singularitiesJan 21 2016May 05 2016Given two torus invariant Weil divisors $D$ and $D'$ on a two-dimensional cyclic quotient singularity $X$, the groups $\mathop{Ext}\nolimits^i_{X}(\mathcal{O}(D),\mathcal{O}(D'))$, $i>0$, are naturally $\mathbb{Z}^2$-graded. We interpret these groups ... More
Wild ramification of nilpotent coverings and coverings of bounded degreeJun 28 2016A finite \'etale map between irreducible, normal varieties is called tame, if it is tamely ramified with respect to all partial compactifications whose boundary is the support of a strict normal crossings divisor. We prove that if the Galois group of ... More
Okounkov Bodies of Complexity-One T-VarietiesAug 02 2011We compute Okounkov bodies of projective complexity-one T-varieties with respect to two types of invariant flags. In particular, we show that the latter are rational polytopes. Moreover, using results of Dave Anderson and Nathan Ilten, we briefly exhibit ... More
Tropical intersection products on smooth varietiesApr 17 2009Mar 05 2010In analogy to chapter 9 of arXiv:0709.3705 we define an intersection product of tropical cycles on tropical linear spaces L^n_k, i.e. on tropical fans of the type max{0,x_1,...,x_n}^(n-k)*R^n. Afterwards we use this result to obtain an intersection product ... More
An in-Depth Look at Quotient ModulesMay 18 2017Oct 10 2017The coset $G$-space of a finite group and a subgroup is a fundamental module of study of Schur and others around 1930; for example, its endomorphism algebra is a Hecke algebra of double cosets. We study and review its generalization $Q$ to Hopf subalgebras, ... More
Pullback of regular singular stratified bundles and restriction to curvesOct 20 2014Mar 17 2015A stratified bundle is a vector bundle which is a D-module. We show that regular singularity of stratified bundles on smooth varieties in positive characteristic is preserved by pullback and that regular singularity can be checked on curves, if the ground ... More
Local-to-global extensions of D-modules in positive characteristicNov 25 2013Oct 28 2014In "On the calculation of some differential Galois groups" (Invent. Math. 87 (1987), no. 1), Katz defines the notion of a special flat connection on the complex affine line minus the origin, and he shows that the functor which restricts a flat connection ... More
Evidence for a generalization of Gieseker's conjecture on stratified bundles in positive characteristicOct 29 2012Sep 09 2013Let X be a smooth, connected, projective variety over an algebraically closed field of positive characteristic. In "Flat vector bundles and the fundamental group in non-zero characteristics" (Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 2 (1975)), Gieseker ... More
An Experimental Overview of the X, Y & Z Charmoniumlike MesonsSep 15 2009A review of some of the recent experimental developments concerning the X, Y and Z charmoniumlike meson states is presented.
Bipartite Multigraphs with Expander-Like PropertiesDec 06 2004A graph with vertex set V and edge set E is called a (d,c)-expander if the maximum degree of a vertex is d and, for every subset W of V that has cardinality at most |V|/2, the number of edges between vertices in W and vertices outside of W is at least ... More
Anchor maps and stable modules in depth twoJun 20 2006Aug 14 2006An algebra extension A | B is right depth two if its tensor-square A\otimes_B A is in the Dress category Add A as A-B-bimodules. We consider necessary conditions for right, similarly left, D2 extensions in terms of partial A-invariance of two-sided ideals ... More
The non-microstates free entropy dimension of DT-operatorsMay 28 2003Dykema and Haagerup introduced the class of DT-operators and also showed that every DT-operator generate the von Neumann algebra generated by the free group on two generators. In this paper we prove that Voiculescu's non-microstates free entropy dimension ... More
Centralizers and Inverses to Induction as Equivalence of CategoriesApr 30 2005Jun 02 2005Given a ring homomorphism $B \to A$, consider its centralizer $R = A^B$, bimodule endomorphism ring $S = \End {}_BA_B$ and sub-tensor-square ring $T = (A \o_B A)^B$. Nonassociative tensoring by the cyclic modules $R_T$ or ${}_SR$ leads to an equivalence ... More
On the structure of nearly pseudo-Kähler manifoldsDec 17 2009Firstly we give a condition to split off the K"ahler factor from a nearly pseudo-K"ahler manifold and apply this to get a structure result in dimension 8. Secondly we extend the construction of nearly K"ahler manifolds from twistor spaces to negatively ... More
Network Rewriting I: The FoundationApr 11 2012A theory is developed which uses "networks" (directed acyclic graphs with some extra structure) as a formalism for expressions in multilinear algebra. It is shown that this formalism is valid for arbitrary PROPs (short for 'PROducts and Permutations category'), ... More
Semisimple Hopf algebras and their depth two Hopf subalgebrasJul 03 2008We prove that a depth two Hopf subalgebra K of a semisimple Hopf algebra H is normal (where the ground field $k$ is algebraically closed of characteristic zero). This means on the one hand that a Hopf subalgebra is normal when inducing (then restricting) ... More
Pseudo-Galois Extensions and Hopf AlgebroidsAug 22 2005Aug 21 2006A pseudo-Galois extension is shown to be a depth two extension. Studying its left bialgebroid, we construct an enveloping Hopf algebroid for the semi-direct product of groups, or more generally involutive Hopf algebras, and their module algebras. It is ... More
Hopf subalgebras and tensor powers of generalized permutation modulesOct 11 2012Jun 12 2014By means of a certain module V and its tensor powers in a finite tensor category, we study a question of whether the depth of a Hopf subalgebra R of a finite-dimensional Hopf algebra H is finite. The module V is the counit representation induced from ... More
Simplicial Hochschild cochains as an Amitsur complexNov 23 2007It is shown that the cochain complex of relative Hochschild A-valued cochains of a depth two extension A | B under cup product is isomorphic as a differential graded algebra with the Amitsur complex of the coring S = End {}_BA_B over the centralizer R ... More
Topological Hochschild homology and the Hasse-Weil zeta functionFeb 05 2016Sep 16 2017We consider the Tate cohomology of the circle group acting on the topological Hochschild homology of schemes. We show that in the case of a scheme smooth and proper over a finite field, this cohomology theory naturally gives rise to the cohomological ... More
Infinite index subalgebras of depth twoJul 14 2006Aug 17 2006An algebra extension $A \| B$ is right depth two in this paper if its tensor-square is $A$-$B$-isomorphic to a direct summand of any (not necessarily finite) direct sum of $A$ with itself. For example, normal subgroups of infinite groups, infinitely generated ... More
The Endomorphism Ring Theorem for Galois and D2 extensionsMar 10 2005Apr 01 2005Let $S$ be the left bialgebroid $\End {}_BA_B$ over the centralizer $R$ of a right D2 algebra extension $A \| B$, which is to say that its tensor-square is isomorphic as $A$-$B$-bimodules to a direct summand of a finite direct sum of $A$ with itself. ... More
Galois theory for bialgebroids, depth two and normal Hopf subalgebrasFeb 09 2005We reduce certain proofs in math.RA/0108067, math.RA/0408155, and math.QA/0409589 to depth two quasibases from one side only, a minimalistic approach which leads to a characterization of Galois extensions for finite projective bialgebroids without the ... More
Algebra depth in tensor categoriesNov 07 2015Nov 27 2015Study of the quotient module of a finite-dimensional Hopf subalgebra pair in order to compute its depth yields a relative Maschke Theorem, in which semisimple extension is characterized as being separable, and is therefore an ordinary Frobenius extension. ... More
A Generic Framework for Diamond LemmasDec 07 2007This paper gives a generic form of the diamond lemma, which includes support for additive and topological structures of the base set, and which does not require any further structure (e.g. an associative multiplication operation) to be present. This result ... More
A Parameter Version of Forstnerič's Splitting LemmaFeb 05 2018We construct solution operators to the $\overline{\partial}$-equation that depend continuously on the domain. This is applied to derive a parameter version of Forstneri\v{c}'s splitting lemma: If both the maps and the domains they are defined on vary ... More
Intersections of Class FieldsSep 04 2017Nov 27 2017Using class field theory, we prove a restriction on the intersection of the maximal abelian extensions associated with different number fields. This restriction is then used to improve a result of Rosen and Silverman about the linear independence of Heegner ... More
Chern classes of tropical vector bundlesNov 15 2009We introduce tropical vector bundles, morphisms and rational sections of these bundles and define the pull-back of a tropical vector bundle and of a rational section along a morphism. Afterwards we use the bounded rational sections of a tropical vector ... More
Dirichlet-to-Robin Operators via Composition SemigroupsSep 06 2017We show well-posedness for an evolution problem associated with the Dirichlet-to-Robin operator for certain Robin boundary data. Moreover, it turns out that the semigroup generated by the Dirichlet-to-Robin operator is closely related to a weighted semigroup ... More
A note on Galois theory for bialgebroidsJan 01 2005In this note we reduce certain proofs in \cite{KS, Karl, AMA} to depth two quasibases from one side only. This minimalistic approach leads to a characterization of Galois extensions for finite projective bialgebroids without the Frobenius extension property: ... More
The tower of K-theory of truncated polynomial algebrasFeb 28 2007Aug 12 2007Let A a regular F_p-algebra. The relative K-groups K_q(A[x]/(x^m),(x)) and the Nil-groups Nil_q(A[x]/(x^m)) were evaluated earlier by the author and Madsen in terms of the big de Rham-Witt groups of the ring A. In this paper, we evaluate the maps of relative ... More
A tower condition characterizing normalityOct 18 2013Jan 27 2014We define left relative H-separable tower of rings and continue a study of these begun by Sugano. It is proven that a progenerator extension has right depth two if and only if the ring extension together with its right endomorphism ring is a left relative ... More
Uniquely separable extensionsAug 14 2018The separability tensor element of a separable extension of noncommutative rings is an idempotent when viewed in the correct endomorphism ring; so one speaks of a separability idempotent, as one usually does for separable algebras. It is proven that this ... More
Local properties of Hilbert spaces of Dirichlet seriesNov 15 2010We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This extends results recently obtained describing the local ... More
Hidden Beauty in Twisted Viking Neck RingsAug 25 2010Many hoards found in Ireland, Scotland, Orkney Islands, and Scandinavia demonstrate the vikings ability to fabricate beautiful arm and neck rings of twisted silver and gold rods. Characteristic for such rings is the uniform appearance of the twisted pattern ... More
Multivariate polynomials for generalized permutohedraJun 13 2019Using the notion of Mahonian statistic on acyclic posets, we introduce a $q$-analogue of the $h$-polynomial of a simple generalized permutohedron. We focus primarily on the case of nestohedra and on explicit computations for many interesting examples, ... More
Vibrationally Mediated Control of Single Electron Transmission in Weakly Coupled Molecule-Metal JunctionsJan 04 2010Mar 25 2010We propose a mechanism which allows one to control the transmission of single electrons through a molecular junction. The principle utilizes the emergence of transmission sidebands when molecular vibrational modes are coupled to the electronic state mediating ... More
Origin of power laws for reactions at metal surfaces mediated by hot electronsNov 10 2009Dec 01 2009A wide range of experiments have established that certain chemical reactions at metal surfaces can be driven by multiple hot electron mediated excitations of adsorbates. A high transient density of hot electrons is obtained by means of femtosecond laser ... More
Domain Wall Junctions in Supersymmetric Field Theories in D=4Feb 21 2000We study the possible BPS domain wall junction configurations for general polynomial superpotentials of N=1 supersymmetric Wess-Zumino models in D=4. We scan the parameter space of the superpotential and find different possible BPS states for different ... More
Resolving Force Indeterminacy in Contact Dynamics Using Compatibility ConditionsMay 16 2018Contact dynamics (CD) is a powerful method to solve the dynamics of large systems of colliding rigid bodies. CD can be computationally more efficient than classical penalty-based discrete element methods (DEM) for simulating contact between stiff materials ... More
Modeling tensorial conductivity of particle suspension networksJan 13 2015Significant microstructural anisotropy is known to develop during shearing flow of attractive particle suspensions. These suspensions, and their capacity to form conductive networks, play a key role in flow-battery technology, among other applications. ... More
Valley Hall effect in disordered monolayer MoS2 from first principlesJun 23 2015Electrons in certain two-dimensional crystals possess a pseudospin degree of freedom associated with the existence of two inequivalent valleys in the Brillouin zone. If, as in monolayer MoS2, inversion symmetry is broken and time-reversal symmetry is ... More
Birkhoff polytopes of different type and the orthant-lattice propertyMar 29 2019Jun 05 2019The Birkhoff polytope, defined to be the convex hull of $n\times n$ permutation matrices, is a well studied polytope in the context of the Ehrhart theory. This polytope is known to have many desirable properties, such as the Gorenstein property and existence ... More
Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitterOct 08 2015We compare and contrast the entangling properties of a three-well Bose-Hubbard model and an optical beamsplitter. The coupling between the different modes is linear in both cases, and we may identify two output modes. Obvious differences are that our ... More
Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard modelNov 15 2014We analyse the Einstein-Podolsky-Rosen (EPR) steering properties in a three-well Bose-Hubbard model under the mechanism of coherent transport of atomic population (CTAP). This process, also known as transport without transit (TWT), transfers condensed ... More
Euler-Mahonian statistics and descent bases for semigroup algebrasJun 09 2016Oct 15 2017We consider quotients of the unit cube semigroup algebra by particular $\mathbb{Z}_r\wr S_n$-invariant ideals. Using Gr\"obner basis methods, we show that the resulting graded quotient algebra has a basis where each element is indexed by colored permutations ... More
Alpha Decay Energies of Superheavy Nuclei: Systematic TrendsNov 01 2018Jan 15 2019New superheavy nuclei are often identified through their characteristic $\alpha$-decay energies, which requires accurate calculations of $Q_{\alpha}$ values. While many $Q_{\alpha}$ predictions are available, little is known about their uncertainties, ... More
Memory effects in non-adiabatic molecular dynamics at metal surfacesJun 11 2010We study the effect of temporal correlation in a Langevin equation describing non-adiabatic dynamics at metal surfaces. For a harmonic oscillator the Langevin equation preserves the quantum dynamics exactly and it is demonstrated that memory effects are ... More
Quantum corrected Langevin dynamics for adsorbates on metal surfaces interacting with hot electronsMar 11 2010We investigate the importance of including quantized initial conditions in Langevin dynamics for adsorbates interacting with a thermal reservoir of electrons. For quadratic potentials the time evolution is exactly described by a classical Langevin equation ... More
Level algebras and $\boldsymbol{s}$-lecture hall polytopesOct 30 2017Jun 13 2018Given a family of lattice polytopes, a common question in Ehrhart theory is classifying which polytopes in the family are Gorenstein. A less common question is classifying which polytopes in the family admit level semigroup algebras, a generalization ... More
Multilevel Monte-Carlo for measure valued solutionsNov 23 2016We propose a Multilevel Monte-Carlo (MLMC) method for computing entropy measure valued solutions of hyperbolic conservation laws. Sharp bounds for the narrow convergence of MLMC for the entropy measure valued solutions are proposed. An optimal work-vs-error ... More
Influence of Memory Hierarchies on Predictability for Time Constrained Embedded SoftwareOct 25 2007Safety-critical embedded systems having to meet real-time constraints are expected to be highly predictable in order to guarantee at design time that certain timing deadlines will always be met. This requirement usually prevents designers from utilizing ... More
Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exteriorOct 09 2013Sep 03 2015We consider the Maxwell equation in the exterior of a very slowly rotating Kerr black hole. For this system, we prove the boundedness of a positive definite energy on each hypersurface of constant $t$. We also prove the convergence of each solution to ... More
Cox rings of rational complexity one T-varietiesSep 02 2010Let X be a Mori dream space together with an effective torus action of complexity one. In this note, we construct a polyhedral divisor on a suitable covering of the projective line P^1 which corresponds to the affine spectrum of the Cox ring of X. This ... More
The ABC of p-CellsJan 08 2019Mar 21 2019Parallel to the very rich theory of Kazhdan-Lusztig cells in characteristic $0$, we try to build a similar theory in positive characteristic. We study cells with respect to the $p$-canonical basis of the Hecke algebra of a crystallographic Coxeter system ... More
Galois actions on models of curvesNov 12 2007We study group actions on regular models of curves. If $X$ is a smooth curve defined over the fraction field $K$ of a complete d.v.r. $R$, every tamely ramified extension $K'/K$ with Galois group $G$ induces a $G$-action on $X_{K'}$. In this paper we ... More