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Photophysics of indole upon x-ray absorptionFeb 08 2018A photofragmentation study of gas-phase indole (C$_8$H$_7$N) upon single-photon ionization at a photon energy of 420 eV is presented. Indole was primarily inner-shell ionized at its nitrogen and carbon $1s$ orbitals. Electrons and ions were measured in ... More

Adiabatic mixed-field orientation of ground-state-selected carbonyl sulfide moleculesJul 19 2016Aug 15 2016We experimentally demonstrated strong adiabatic mixed-field orientation of carbonyl sulfide molecules (OCS) in their absolute ground state of $\text{N}_{\text{up}}/\text{N}_{\text{tot}}=0.882$. OCS was oriented in combined non-resonant laser and static ... More

Strongly aligned and oriented molecular samples at a kHz repetition rateJan 09 2013May 23 2013We demonstrate strong adiabatic laser alignment and mixed-field orientation at kHz repetition rates. We observe degrees of alignment as large as cos\Theta=0.94 at 1 kHz operation for iodobenzene. The experimental setup consist of a kHz laser system simultaneously ... More

Two-state wave packet for strong field-free molecular orientationSep 09 2014Jan 25 2015We demonstrate strong laser-field-free orientation of absolute-ground-state carbonyl sulfide molecules. The molecules are oriented by the combination of a 485-ps-long non-resonant laser pulse and a weak static electric field. The edges of the laser pulse ... More

Numerical integration for fractal measuresJun 08 2016May 08 2018We find estimates for the error in replacing an integral $\int f d\mu$ with respect to a fractal measure $\mu$ with a discrete sum $\sum_{x \in E} w(x) f(x)$ over a given sample set $E$ with weights $w$. Our model is the classical Koksma-Hlawka theorem ... More

Numerical integration for fractal measuresJun 08 2016We find estimates for the error in replacing an integral $\int f d\mu$ with respect to a fractal measure $\mu$ with a discrete sum $\sum_{x \in E} w(x) f(x)$ over a given sample set $E$ with weights $w$. Our model is the classical Koksma-Hlawka theorem ... More

Quantization Under the Real-world Measure: Fast and Accurate Valuation of Long-dated ContractsJan 22 2018Jan 24 2018This paper provides a methodology for fast and accurate pricing of the long-dated contracts that arise as the building blocks of insurance and pension fund agreements. It applies the recursive marginal quantization (RMQ) and joint recursive marginal quantization ... More

Correlated entanglement distillation and the structure of the set of undistillable statesSep 24 2007Aug 25 2013We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker assumption of merely ... More

Extracting dynamical equations from experimental data is NP-hardApr 30 2010Feb 28 2012The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences. In this work, we show that, remarkably, identifying the ... More

The optimal unitary dilation for bosonic Gaussian channelsSep 06 2010A generic quantum channel can be represented in terms of a unitary interaction between the information-carrying system and a noisy environment. Here, the minimal number of quantum Gaussian environmental modes required to provide a unitary dilation of ... More

Nonlinear digital imagingJul 30 2015Nonlinear imaging systems can surpass the limits of linear optics, but to date they have all relied on physical media (e.g. crystals) to work. These materials are all constrained by their physical properties, such as frequency selectivity, environmental ... More

Micro- and nanoscale fluid flow on chemical channelsApr 03 2012We study the time evolution and driven motion of thin liquid films lying on top of chemical patterns on a substrate. Lattice-Boltzmann and molecular dynamics methods are used for simulations of the flow of microscopic and nanoscopic films, respectively. ... More

Passage-time distributions from a spin-boson detector modelOct 06 2006Nov 16 2006The passage-time distribution for a spread-out quantum particle to traverse a specific region is calculated using a detailed quantum model for the detector involved. That model, developed and investigated in earlier works, is based on the detected particle's ... More

Quantum transport and two-parameter scaling at the surface of a weak topological insulatorSep 14 2011Feb 16 2012Weak topological insulators have an even number of Dirac cones in their surface spectrum and are thought to be unstable to disorder, which leads to an insulating surface. Here we argue that the presence of disorder alone will not localize the surface ... More

The boundaries and twist defects of the color code and their applications to topological quantum computationJun 07 2018Oct 24 2018The color code is both an interesting example of an exactly solved topologically ordered phase of matter and also among the most promising candidate models to realize fault-tolerant quantum computation with minimal resource overhead. The contributions ... More

The Complexity of Relating Quantum Channels to Master EquationsAug 17 2009Sep 12 2011Completely positive, trace preserving (CPT) maps and Lindblad master equations are both widely used to describe the dynamics of open quantum systems. The connection between these two descriptions is a classic topic in mathematical physics. One direction ... More

Analysis of Spatio-Temporal Preferences and Encounter Statistics for DTN PerformanceJul 06 2010Spatio-temporal preferences and encounter statistics provide realistic measures to understand mobile user's behavioral preferences and transfer opportunities in Delay Tolerant Networks (DTNs). The time dependent behavior and periodic reappearances at ... More

Current-induced gap opening in interacting topological insulator surfacesJan 23 2019Two-dimensional topological insulators (TIs) host gapless helical edge states that are predicted to support a quantized two-terminal conductance. Quantization is protected by time-reversal symmetry, which forbids elastic backscattering. Paradoxically, ... More

Which point sets admit a k-angulation?Mar 16 2012Jan 23 2013For k >= 3, a k-angulation is a 2-connected plane graph in which every internal face is a k-gon. We say that a point set P admits a plane graph G if there is a straight-line drawing of G that maps V(G) onto P and has the same facial cycles and outer face ... More

Imaging Molecular Structure through Femtosecond Photoelectron Diffraction on Aligned and Oriented Gas-Phase MoleculesJul 29 2014This paper gives an account of our progress towards performing femtosecond time-resolved photoelectron diffraction on gas-phase molecules in a pump-probe setup combining optical lasers and an X-ray Free-Electron Laser. We present results of two experiments ... More

On 7D TFT and 6D chiral CFTJun 13 2002Jul 04 2002We perform a canonical and BRST analysis of a seven-dimensional Chern-Simons theory on a manifold with boundary. The main result is that the 7D theory induces for consistency a chiral two-form on the 6D boundary. We also comment on similar behaviour in ... More

Matrix Models and Lorentz InvarianceJul 30 2010The question of Lorentz invariance in the membrane matrix model is addressed

On The Construction of Zero Energy States in Supersymmetric Matrix Models IIINov 05 1997For a supersymmetric Hamiltonian appearing in the matrix model related to 11 dimensional supermembranes, zero energy states are constructed. A useful symmetry, and an energy-equipartition property is pointed out.

On the Deformation of Time Harmonic FlowsDec 02 1996It is shown that time-harmonic motions of spherical and toroidal surfaces can be deformed non-locally without loosing the existence of infinitely many constants of the motion.

Asymptotic Zero Energy States for SU(N greater or equal 3)Dec 17 1999Some ideas are presented concerning the question which of the harmonic wavefunctions constructed in [hep-th/9909191] may be annihilated by all supercharges.

On M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving DiffeomorphismsFeb 05 1996M-branes are related to theories on function spaces $\cal{A}$ involving M-linear non-commutative maps from $\cal{A} \times \cdots \times \cal{A}$ to $\cal{A}$. While the Lie-symmetry-algebra of volume preserving diffeomorphisms of $T^M$ cannot be deformed ... More

Borchers' Commutation Relations for Sectors with Braid Group Statistics in Low DimensionsJun 11 2008Jul 10 2008Borchers has shown that in a translation covariant vacuum representation of a theory of local observables with positive energy the following holds: The (Tomita) modular objects associated with the observable algebra of a fixed wedge region give rise to ... More

Fine-scale statistics for the multidimensional Farey sequenceJul 04 2012We generalize classical results on the gap distribution (and other fine-scale statistics) for the one-dimensional Farey sequence to arbitrary dimension. This is achieved by exploiting the equidistribution of horospheres in the space of lattices, and the ... More

Schwarzschild modelling of elliptical galaxies and their black holesJul 21 2010This article describes the Schwarzschild orbit superposition method. It is the state-of-the-art dynamical modelling tool for early-type galaxies. Tests with analytic models show that masses and orbital anisotropies of not too face-on galaxies can be recovered ... More

Tautological classes and smooth bundles over BSU(2)Feb 06 2018For a Lie group G and a smooth manifold W, we study the difference between smooth actions of G on W and bundles over the classifying space of G with fiber W and structure group Diff(W). In particular, we exhibit smooth manifold bundles over BSU(2) that ... More

Chromatic weight systems and the corresponding knot invariantsJan 13 1997This paper contains a proof that chromatic weight systems, introduced by Chmutov, Duzhin and Lando, can be expressed in terms of weight systems associated with direct sums of the Lie algebras gl_n and so_n. As a consequence the Vassiliev invariants of ... More

Anomaly Cancellation in Six DimensionsApr 22 1993I show that anomaly cancellation conditions are sufficient to determine the two most important topological numbers relevant for Calabi-Yau compactification to six dimensions. This reflects the fact that K3 is the only non-trivial CY manifold in two complex ... More

Low Energy Tests of the Standard Model with Spin Degrees of FreedomDec 04 2006Feb 19 2007After briefly reviewing the status of the standard model, I will focus mainly on polarized electron scattering and other tests of the weak neutral current. I will also address other low energy tests in which polarization degrees of freedom play a crucial ... More

Breakdown of Duality in (0,2) Superstring ModelsJun 16 1993After pointing out the role of the compactification lattice for spectrum calculations in orbifold models, I discuss modular discrete symmetry groups for $Z_N$ or\-bi\-folds. I consider the $Z_7$ orbifold as a nontrivial example of a (2,2) model and give ... More

Anisotropic thermo-elasticity in 2D -- Part II: ApplicationsAug 02 2007Nov 15 2007In this note we present concrete applications of the general treatment of anisotropic thermo-elasticity developed in Part I.

Solution Representations for a Wave Equation with Weak DissipationOct 02 2002We consider the Cauchy problem for the weakly dissipative wave equation $$ \bx v+\frac\mu{1+t}v_t=0, \qquad x\in\R^n,\quad t\ge 0, $$ parameterized by $\mu>0$, and prove a representation theorem for its solution using the theory of special functions. ... More

Inverting the spherical Radon transform for physically meaningful functionsJul 28 2003In this paper we refer to the reconstruction formulas given in L.-E. Andersson's On the determination of a function from spherical averages, which are often used in applications such as SAR and SONAR. We demonstrate that the first one of these formulas ... More

The low-density limit of the Lorentz gas: periodic, aperiodic and randomApr 12 2014The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical scatterers. ... More

On the existence of the Moller wave operator for wave equations with small dissipative termsOct 07 2002Oct 20 2002The aim of this short note is to reconsider and to extend a former result of K. Mochizuki on the existence of the scattering operator for wave equations with small dissipative terms. Contrary to the approach used by Mochizuki we construct the wave operator ... More

The CPT and Bisognano-Wichmann Theorems for Anyons and Plektons in d=2+1Feb 25 2009Feb 26 2009We prove the Bisognano-Wichmann and CPT theorems for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory, assuming Poincare covariance and asymptotic ... More

On harmonic and asymptotically harmonic homogeneous spacesSep 20 2004Oct 04 2005We classify noncompact homogeneous spaces which are Einstein and asymptotically harmonic. This completes the classification of Riemannian harmonic spaces in the homogeneous case: Any simply connected homogeneous harmonic space is flat, or rank-one symmetric, ... More

Generalized axially symmetric potentials with distributional boundary valuesNov 16 2014Nov 12 2015We study a counterpart of the classical Poisson integral for a family of weighted Laplace differential equations in Euclidean half space, solutions of which are known as generalized axially symmetric potentials. These potentials appear naturally in the ... More

On modular semifinite index theoryNov 28 2011We propose a definition of a modular spectral triple which covers existing examples arising from KMS-states, Podles sphere and quantum SU(2). The definition also incorporates the notion of twisted commutators appearing in recent work of Connes and Moscovici. ... More

Designs and codes in affine geometryMay 12 2016May 23 2016Classical designs and their (projective) q-analogs can both be viewed as designs in matroids, using the matroid of all subsets of a set and the matroid of linearly independent subsets of a vector space, respectively. Another natural matroid is given by ... More

On Some Microlocal Properties of the Range of a Pseudo-Differential Operator of Principal TypeMar 08 2010Jun 13 2011The purpose of this paper is to obtain microlocal analogues of results by L. H \"ormander about inclusion relations between the ranges of first order differential operators with coefficients in $C^\infty$ which fail to be locally solvable. Using similar ... More

Pair correlation densities of inhomogeneous quadratic forms IIOct 14 2002Denote by $\| \cdot \|$ the euclidean norm in $\RR^k$. We prove that the local pair correlation density of the sequence $\| \vecm -\vecalf \|^k$, $\vecm\in\ZZ^k$, is that of a Poisson process, under diophantine conditions on the fixed vector $\vecalf\in\RR^k$: ... More

On Vassiliev Invariants not Coming from Semisimple Lie AlgebrasJun 04 1997Feb 05 2000We prove a refinement of Vogel's statement that the Vassiliev invariants of knots coming from semisimple Lie algebras do not generate all Vassiliev invariants. This refinement takes into account the second grading on Vassiliev invariants induced by cabling ... More

Electroweak Standard Model and Precision TestsDec 18 2002Dec 29 2002I give an introduction and overview of recent developments in high precision tests of the Standard Model. This includes a summary of Z-pole measurements, a brief account of the NuTeV result on neutrino-nucleon scattering, the anomalous magnetic moment ... More

The Mass of the Higgs Boson in the Standard Electroweak ModelFeb 05 2010Mar 16 2010An updated global analysis within the Standard Model (SM) of all relevant electroweak precision and Higgs boson search data is presented with special emphasis on the implications for the Higgs boson mass, M_H. Included are, in particular, the most recent ... More

Spin beyond Standard Model: TheoryJan 29 2009Mar 11 2009I use spin as a guide through the labyrinth of possibilities and ideas that go beyond the established understanding of the fundamental interactions.

Electroweak Theory for the Tevatron, LHC, and ILCSep 13 2008Oct 13 2008Future high precision electroweak measurements require understanding of Standard Model expectations to multi-loop accuracy, both, for the predictions of production cross-sections of signal and background, as well as for pseudo-observables. I review recent ... More

Precision Electroweak PhysicsApr 04 2006The status in electroweak precision physics is reviewed. I present a brief summary of the latest data, global fit results, a few implications for new physics, and an outlook.

Determinations of alpha(M_Z): Comparison and ProspectsOct 31 2001I review and compare various techniques to obtain the value of the QED coupling, alpha, at the Z pole. GigaZ precisions would require a much more accurate determination than available today. A combination of the virtues of current methods may help to ... More

A calculation of the multiplicative characterMar 20 2009We give a formula, in terms of products of commutators, for the application of the odd multiplicative character to higher Loday symbols. On our way we construct a product on the relative K-groups and investigate the multiplicative properties of the relative ... More

Comparison of secondary invariants of algebraic K-theoryApr 10 2008Jan 27 2011In this paper we prove that the multiplicative character of A. Connes and M. Karoubi and the determinant invariant of L. G. Brown, J. W. Helton and R. E. Howe agree up to a canonical homomorphism.

Quantum Group Generators in Conformal Field TheoryMar 12 1997These are notes of a seminar given at the 30th International Symposium on the Theory of Elementary Particles, Berlin-Buckow, August 1996. The material is derived from collaborations with E. Cremmer and J.-L. Gervais, and C. Klimcik, and is partially new. ... More

The unbounded Kasparov product by a differentiable moduleSep 30 2015In this paper we investigate the unbounded Kasparov product between a differentiable module and an unbounded cycle of a very general kind that includes all unbounded Kasparov modules and hence also all spectral triples. Our assumptions on the differentiable ... More

Differentiable absorption of Hilbert C*-modules, connections, and lifts of unbounded operatorsJul 05 2014The Kasparov absorption (or stabilization) theorem states that any countably generated Hilbert C*-module is isomorphic to a direct summand in the standard module of square summable sequences in the base C*-algebra. In this paper, this result will be generalized ... More

The asymptotic distribution of Frobenius numbersFeb 20 2009Mar 22 2010The Frobenius number F(a) of an integer vector a with positive coprime coefficients is defined as the largest number that does not have a representation as a positive integer linear combination of the coefficients of a. We show that if a is taken to be ... More

On the additive period length of the Sprague-Grundy function of certain Nim-like gamesFeb 17 2019We examine the structure of the additive period of the Sprague-Grundy function of Nim-like games, among them Wythoff's Game, and deduce a bound for the length of the period and preperiod.

Nonlinearity and disorder: Classification and stability of nonlinear impurity modesSep 03 2000We study the effects produced by competition of two physical mechanisms of energy localization in inhomogeneous nonlinear systems. As an example, we analyze spatially localized modes supported by a nonlinear impurity in the generalized nonlinear Schr\"odinger ... More

Learning to Navigate: Exploiting Deep Networks to Inform Sample-Based Planning During Vision-Based NavigationJan 16 2018Recent applications of deep learning to navigation have generated end-to-end navigation solutions whereby visual sensor input is mapped to control signals or to motion primitives. The resulting visual navigation strategies work very well at collision ... More

Scattering and modified scattering for abstract wave equations with time-dependent dissipationJun 01 2006Aug 08 2007We consider the initial-value problem of abstract wave equations with weak dissipation. We show that under conditions on the dissipation coefficient and its derivative the solutions to the abstract dissipative equation are closely related to solutions ... More

Classification of finite congruence-simple semirings with zeroFeb 14 2007Our main result states that a finite semiring of order >2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a `dense' subsemiring of the endomorphism semiring of a finite idempotent commutative monoid. We also investigate ... More

Preorientations of the derived motivic multiplicative groupMay 25 2010May 25 2011We provide a proof in the language of model categories and symmetric spectra of Lurie's theorem that topological complex $K$-theory represents orientations of the derived multiplicative group. Then we generalize this result to the motivic situation. Along ... More

Holomorphic almost modular formsOct 16 2003Holomorphic almost modular forms are holomorphic functions of the complex upper half plane which can be approximated arbitrarily well (in a suitable sense) by modular forms of congruence subgroups of large index in $\SL(2,\ZZ)$. It is proved that such ... More

SM Precision Constraints at the LHC/ILCJan 30 2007The prospects for electroweak precision physics at the LHC and the ILC are reviewed. This includes projections for measurements of the effective Z pole weak mixing angle, sin^2 theta_W (eff.), as well as top quark, W boson, and Higgs scalar properties. ... More

Global Fits to Electroweak Data Using GAPPMay 09 2000At Run II of the Tevatron it will be possible to measure the W boson mass with a relative precision of about 2 times 10^-4, which will eventually represent the best measured observable beyond the input parameters of the SM. Proper interpretation of such ... More

Negative Screenings in Liouville TheoryDec 18 1995We demonstrate how negative powers of screenings arise as a nonperturbative effect within the operator approach to Liouville theory. This explains the origin of the corresponding poles in the exact Liouville three point function proposed by Dorn/Otto ... More

Invariant Bilinear Differential Pairings on Parabolic GeometriesApr 21 2009This thesis is concerned with the theory of invariant bilinear differential pairings on parabolic geometries. It introduces the concept formally with the help of the jet bundle formalism and provides a detailed analysis. More precisely, after introducing ... More

The Spin-Statistics Theorem for Anyons and Plektons in d=2+1Jan 23 2008Apr 18 2008We prove the spin-statistics theorem for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the ... More

An Algebraic Jost-Schroer Theorem for Massive TheoriesDec 07 2010Jan 13 2012We consider a purely massive local relativistic quantum theory specified by a family of von Neumann algebras indexed by the space-time regions. We assume that, affiliated with the algebras associated to wedge regions, there are operators which create ... More

Star Formation in the Galactic CenterNov 21 2016Nov 28 2016Research on Galactic Center star formation is making great advances, in particular due to new data from interferometers spatially resolving molecular clouds in this environment. These new results are discussed in the context of established knowledge about ... More

Kinetic transport in crystalsSep 18 2009Sep 25 2009One of the central challenges in kinetic theory is the derivation of macroscopic evolution equations--describing, for example, the dynamics of an electron gas--from the underlying fundamental microscopic laws of classical or quantum mechanics. An iconic ... More

Invariant Differential PairingsMar 29 2007Apr 12 2008In this paper the notion of an M-th order invariant bilinear differential pairing is introduced and a formal definition is given. If the manifold has an AHS structure, then various first order pairings are constructed. This yields a classification of ... More

Pair correlation densities of inhomogeneous quadratic formsOct 14 2002Apr 20 2004Under explicit diophantine conditions on $(\alpha,\beta)\in\RR^2$, we prove that the local two-point correlations of the sequence given by the values $(m-\alpha)^2+\break (n-\beta)^2$, with $(m,n)\in\ZZ^2$, are those of a Poisson process. This partly ... More

Fit to Electroweak Precision DataJun 12 2006A brief review of electroweak precision data from LEP, SLC, the Tevatron, and low energies is presented. The global fit to all data including the most recent results on the masses of the top quark and the W boson reinforces the preference for a relatively ... More

The Probability Density of the Higgs Boson MassOct 15 2000Jan 11 2001The LEP Collaborations have reported a small excess of events in their combined Higgs boson analysis at center of mass energies up to about 208 GeV. In this communication, I present the result of a calculation of the probability distribution function ... More

Implications of Precision Electroweak Measurements for the Standard Model Higgs BosonApr 05 1999We summarize the status of the Standard Model with special emphasis on the extraction of the Higgs boson mass using Bayesian inference.

Calculation of the QED Coupling alpha (M_Z) in the Modified Minimal-Subtraction SchemeMar 26 1998Nov 09 1998I calculate the QED coupling, alpha, directly in the MS-bar scheme using an unsubtracted dispersion relation for the three light quarks, and perturbative QCD for charm and bottom quarks. Compact analytical expressions are presented, making this approach ... More

Alpha_s with GAPPFeb 27 2011Details are provided how GAPP evaluates the strong coupling constant from Z and tau decays and the corresponding uncertainties.

Radiative Corrections and Z'Sep 29 2009Radiative corrections to parity violating deep inelastic electron scattering are reviewed including a discussion of the renormalization group evolution of the weak mixing angle. Recently obtained results on hypothetical Z' bosons - for which parity violating ... More

Electroweak Precision Data and New Gauge BosonsJul 05 2009I review constraints on the Standard Model (SM) Higgs boson from high energy electroweak (EW) precision data. The same data set also strongly limits various mixing effects of hypothetical extra neutral gauge bosons (Z') with the ordinary Z. I also discuss ... More

Constraining Electroweak PhysicsOct 16 2003I summarize the status of the Standard Model after the 2003 summer conferences.

Electroweak Radiative Corrections to Semileptonic Tau DecaysNov 22 2002Nov 25 2002I present an update on the electroweak radiative correction factor to semileptonic tau decays, including a next-to-leading order resummation of large logarithms. My result differs both qualitatively and quantitatively from the one recently obtained by ... More

Chiral Models of Weak Scale SupersymmetryJun 05 2000I discuss supersymmetric extensions of the Standard Model containing an extra U(1)' gauge symmetry which provide a solution to the mu-problem and at the same time protect the proton from decaying via dimension 4 operators. Moreover, all fields are protected ... More

Asymmetric Orbifolds and Higher Level ModelsFeb 07 1996Nov 29 1996I introduce a class of string constructions based on asymmetric orbifolds leading to level two models. In particular, I derive in detail various models with gauge groups $E_6$ and SO(10), including a four generation $E_6$ model with two adjoint representations. ... More

The SLD Asymmetry in View of the LEP ResultsJun 30 1994LEP determines $\sin^2 \theta_{\rm eff}$, by combining the various asymmetry measurements to be $0.2321 \pm 0.0005$. On the other hand, the left-right asymmetry as measured at SLC corresponds to \seff = $0.2292 \pm 0.0010$. I will discuss the possibilities ... More

Quantum Group Structure and Local Fields in the Algebraic Approach to 2D GravityDec 21 1994This review contains a summary of work by J.-L. Gervais and the author on the operator approach to 2d gravity. Special emphasis is placed on the construction of local observables -the Liouville exponentials and the Liouville field itself - and the underlying ... More

The LMO-invariant of 3-manifolds of rank one and the Alexander polynomialFeb 05 2000Feb 16 2000We prove that the LMO-invariant of a 3-manifold of rank one is determined by the Alexander polynomial of the manifold, and conversely, that the Alexander polynomial is determined by the LMO-invariant. Furthermore, we show that the Alexander polynomial ... More

Horospheres and Farey fractionsMar 24 2010Mar 30 2010We embed multidimensional Farey fractions in large horospheres and explain under which conditions they become uniformly distributed in the ambient homogeneous space. This question has recently been investigated in the case of SL(d,Z) to prove the asymptotic ... More

Morita invariance of unbounded bivariant K-theoryDec 26 2016We introduce a notion of Morita equivalence for non-selfadjoint operator algebras equipped with a completely isometric involution (operator *-algebras). We then show that the unbounded Kasparov product by a Morita equivalence bimodule induces an isomorphism ... More

A statistical study of SDSS radio-emittersMar 01 2013The cross-correlation of the Sloan Digital Sky Survey Data Release 7 with the Faint Images of the Radio Sky at Twenty-Centimeters survey allows for a multiwavelength statistical study of radio-optical galaxy properties on a very large number of sources. ... More

The stellar masses and specific star-formation rates of submillimetre galaxiesAug 30 2011May 03 2012Establishing the stellar masses (M*), and hence specific star-formation rates (sSFRs) of submillimetre galaxies (SMGs) is crucial for determining their role in the cosmic galaxy/star formation. However, there is as yet no consensus over the typical M* ... More

Entangled inputs cannot make imperfect quantum channels perfectOct 25 2010Aug 25 2013Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer the converse ... More

The motion of chondrules and other particles in a protoplanetary disc with temperature fluctuationsSep 07 2016Sep 28 2016We consider the mechanism of photophoretic transport in protoplanetary disks that are optically thick to radiation. Here, photophoresis is not caused by the central star but by temperature fluctuations that subject suspended solid particles, including ... More

Dependence of Neutrino Mixing Angles and CP-violating Phase on Mixing Matrix ParametrizationsAug 19 2011We consider various neutrino mixing matrix parametrizations and the dependence of the mixing angles and CP-violating phase on the different parametrizations. The transformations of neutrino mixing parameters between various parametrizations are presented. ... More

Dust grain growth in the interstellar medium of galaxies at redshifts 4<z<6.5Jul 26 2011To discriminate between different dust formation processes is a key issue in order to understand its properties. We analysed six submillimeter galaxies at redshifts 4<z<5 and nine quasars at 5<z<6.4. We estimated their dust masses from their (sub)millimeter ... More

Reinforcement Learning Decoders for Fault-Tolerant Quantum ComputationOct 16 2018Topological error correcting codes, and particularly the surface code, currently provide the most feasible roadmap towards large-scale fault-tolerant quantum computation. As such, obtaining fast and flexible decoding algorithms for these codes, within ... More

Thoughts on Barnette's ConjectureDec 13 2013We prove a new sufficient condition for a cubic 3-connected planar graph to be Hamiltonian. This condition is most easily described as a property of the dual graph. Let $G$ be a planar triangulation. Then the dual $G^*$ is a cubic 3-connected planar graph, ... More