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PWOC-3D: Deep Occlusion-Aware End-to-End Scene Flow EstimationApr 12 2019In the last few years, convolutional neural networks (CNNs) have demonstrated increasing success at learning many computer vision tasks including dense estimation problems such as optical flow and stereo matching. However, the joint prediction of these ... More

Dense Scene Flow from Stereo Disparity and Optical FlowAug 30 2018Scene flow describes 3D motion in a 3D scene. It can either be modeled as a single task, or it can be reconstructed from the auxiliary tasks of stereo depth and optical flow estimation. While the second method can achieve real-time performance by using ... More

Combining Stereo Disparity and Optical Flow for Basic Scene FlowJan 15 2018Scene flow is a description of real world motion in 3D that contains more information than optical flow. Because of its complexity there exists no applicable variant for real-time scene flow estimation in an automotive or commercial vehicle context that ... More

FlowFields++: Accurate Optical Flow Correspondences Meet Robust InterpolationMay 09 2018Optical Flow algorithms are of high importance for many applications. Recently, the Flow Field algorithm and its modifications have shown remarkable results, as they have been evaluated with top accuracy on different data sets. In our analysis of the ... More

SDC - Stacked Dilated Convolution: A Unified Descriptor Network for Dense Matching TasksApr 05 2019Dense pixel matching is important for many computer vision tasks such as disparity and flow estimation. We present a robust, unified descriptor network that considers a large context region with high spatial variance. Our network has a very large receptive ... More

SceneFlowFields++: Multi-frame Matching, Visibility Prediction, and Robust Interpolation for Scene Flow EstimationFeb 26 2019State-of-the-art scene flow algorithms pursue the conflicting targets of accuracy, run time, and robustness. With the successful concept of pixel-wise matching and sparse-to-dense interpolation, we push the limits of scene flow estimation. Avoiding strong ... More

An Empirical Evaluation Study on the Training of SDC Features for Dense Pixel MatchingApr 12 2019Training a deep neural network is a non-trivial task. Not only the tuning of hyperparameters, but also the gathering and selection of training data, the design of the loss function, and the construction of training schedules is important to get the most ... More

Dynamic Risk Assessment for Vehicles of Higher Automation Levels by Deep LearningJun 20 2018Vehicles of higher automation levels require the creation of situation awareness. One important aspect of this situation awareness is an understanding of the current risk of a driving situation. In this work, we present a novel approach for the dynamic ... More

SceneFlowFields: Dense Interpolation of Sparse Scene Flow CorrespondencesOct 27 2017While most scene flow methods use either variational optimization or a strong rigid motion assumption, we show for the first time that scene flow can also be estimated by dense interpolation of sparse matches. To this end, we find sparse matches across ... More

Automated Scene Flow Data Generation for Training and VerificationAug 30 2018Aug 31 2018Scene flow describes the 3D position as well as the 3D motion of each pixel in an image. Such algorithms are the basis for many state-of-the-art autonomous or automated driving functions. For verification and training large amounts of ground truth data ... More

Closed strings as single-valued open strings: A genus-zero derivationAug 02 2018Oct 11 2018Based on general mathematical assumptions we give an independent, elementary derivation of a theorem by Francis Brown and Cl\'ement Dupont which states that tree-level amplitudes of closed and open strings are related through the single-valued map `sv'. ... More

A note on "A Matrix Realignment Method for Recognizing Entanglement," quant-ph/0205017 v1May 10 2002In quant-ph/0205017 v1 Chen, Wu and Yang formulated a necessary separability criterion based on a realignment method for matrices. This note is to point out that this criterion is identical to the necessary cross norm criterion previously put forward ... More

Further results on the cross norm criterion for separabilityFeb 21 2002In the present paper the cross norm criterion for separability of density matrices is studied. In the first part of the paper we determine the value of the greatest cross norm for Werner states, for isotropic states and for Bell diagonal states. In the ... More

Axisymmetric Numerical RelativityJan 17 2006Dec 05 2013This thesis is concerned with formulations of the Einstein equations in axisymmetric spacetimes which are suitable for numerical evolutions. We develop two evolution systems based on the (2+1)+1 formalism. The first is a (partially) constrained scheme ... More

Instantons and Monopoles in General Abelian GaugesSep 01 1999Sep 06 1999A relation between the total instanton number and the quantum-numbers of magnetic monopoles that arise in general Abelian gauges in SU(2) Yang-Mills theory is established. The instanton number is expressed as the sum of the `twists' of all monopoles, ... More

Calculating B-meson decay constants using domain-wall light quarks and nonperturbatively tuned relativistic b-quarksNov 14 2012Nov 28 2012We calculate B-physics quantities using the RBC/UKQCD 2+1 flavor domain-wall plus Iwasaki lattices and the relativistic heavy quark action developed by Christ, Li and Lin. After tuning these parameters nonperturbatively, we present our preliminary results ... More

Supernova-driven Turbulence and Magnetic Field Amplification in Disk GalaxiesJan 28 2010Supernovae are known to be the dominant energy source for driving turbulence in the interstellar medium. Yet, their effect on magnetic field amplification in spiral galaxies is still poorly understood. Analytical models based on the uncorrelated-ensemble ... More

Braking index of isolated pulsars: open questions and ways forwardMar 31 2015Isolated pulsars are rotating neutron stars with accurately measured angular velocities $\Omega$, and their time derivatives which show unambiguously that the pulsars are slowing down. Although the exact mechanism of the spin-down is a question of debate, ... More

A fast numerical method for max-convolution and the application to efficient max-product inference in Bayesian networksJan 12 2015Sep 02 2015Observations depending on sums of random variables are common throughout many fields; however, no efficient solution is currently known for performing max-product inference on these sums of general discrete distributions (max-product inference can be ... More

Classical mathematical structures within topological graph theoryFeb 10 2014Finite simple graphs are a playground for classical areas of mathematics. We illustrate this by looking at some theorems. These are slightly enhanced preparation notes for a talk given at the joint AMS meeting of January 16, 2014 in Baltimore.

Scheme theoretic tropicalizationAug 31 2015Oct 26 2016In this paper, we introduce ordered blueprints and ordered blue schemes, which serve as a common language for the different approaches to tropicalizations and which enhances tropical varieties with a schematic structure. As an abstract concept, we consider ... More

Sensitive Phase Gratings for X-ray Phase Contrast - a Simulation-based ComparisonMar 12 2016Mar 21 2016Medical differential phase contrast x-ray imaging (DPCI) promises improved soft-tissue contrast at lower x-ray dose. The dose strongly depends on both the angular sensitivity and on the visibility of a grating-based Talbot-Lau interferometer. Using a ... More

Tameness of fusion systems of sporadic simple groupsApr 19 2016Apr 20 2016We prove here that with a very small number of exceptions, when $G$ is a sporadic simple group and $p$ is a prime such that the $p$-fusion system of $G$ is simple, then $Out(G)$ is isomorphic to the outer automorphism groups of the fusion and linking ... More

Chiral perturbation theory at non-zero lattice spacingSep 19 2004Oct 18 2004A review of chiral perturbation theory for lattice QCD at non-zero lattice spacing is given.

On the $η$-inverted sphereFeb 29 2016It is shown that the first and second homotopy groups of the $\eta$-inverted sphere spectrum over a field of characteristic not two are zero. A cell presentation of higher Witt theory is given as well, at least over the complex numbers.

Numbers and Functions in Quantum Field TheoryJun 28 2016We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory.

Evaluation of the period of a family of triangle and box ladder graphsOct 19 2012We prove that the period of a family of $n$ loop graphs with triangle and box ladders evaluates to $\frac{4}{n}\binom{2n-2}{n-1}\zeta(2n-3)$

Polynomial bound for the partition rank vs the analytic rank of tensorsFeb 26 2019A tensor defined over a finite field $\mathbb{F}$ has low analytic rank if the distribution of its values differs significantly from the uniform distribution. An order $d$ tensor has partition rank 1 if it can be written as a product of two tensors of ... More

On the supersingular loci of quaternionic Siegel spaceSep 17 2012The paper studies the supersingular locus of the characteristic p moduli space of principally polarized abelian 8-folds that are equipped with an action of a maximal order in a quaternion algebra, that is non-split at the infinite place, but split at ... More

Minimal unsatisfiability and deficiency: recent developmentsOct 26 2016Starting with Aharoni and Linial in 1986, the deficiency delta(F) = c(F) - n(F) >= 1 for minimally unsatisfiable clause-sets F, the difference of the number of clauses and the number of variables, is playing an important role in investigations into the ... More

The Grothendieck ring of varieties and algebraic K-theory of spacesNov 28 2016Waldhausen's algebraic K-theory machinery is applied to motivic homotopy theory, producing an interesting motivic homotopy type. Over a field F of characteristic zero, its path components receive a surjective ring homomorphism from the Grothendieck ring ... More

A remark on the construction of centric linking systemsDec 07 2016We give examples to show that it is not in general possible to prove the existence and uniqueness of centric linking systems associated to a given fusion system inductively by adding one conjugacy class at a time to the categories. This helps to explain ... More

Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCDMay 08 2017May 18 2017Multi-particle states with additional pions are expected to be a non-negligible source of excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory can be employed to calculate the contamination ... More

Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$Jun 30 2016Sep 15 2016We employ leading order covariant chiral perturbation theory to compute the nucleon-pion-state contribution to the 3-point correlation functions one typically measures in lattice QCD to extract the isovector nucleon charges $g_A,g_T$ and $g_S$. We estimate ... More

Three-particle $Nππ$ state contribution to the nucleon two-point function in lattice QCDFeb 28 2018May 09 2018The three-particle $N\pi\pi$-state contribution to the QCD two-point function of standard nucleon interpolating fields is computed to leading order in chiral perturbation theory. Using the experimental values for two low-energy coefficients the impact ... More

Combinatorial manifolds are HamiltonianJun 17 2018Extending a theorem of Whitney of 1931 we prove that all connected d-graphs are Hamiltonian for positive d. A d-graph is a type of combinatorial manifold which is inductively defined as a finite simple graph for which every unit sphere is a (d-1)-sphere. ... More

Torsion homology growth beyond asymptoticsFeb 21 2017We show that (under mild assumptions) the generating function of log homology torsion of a knot exterior has a meromorphic continuation to the entire complex plane. As corollaries, this gives new proofs of (a) the Silver-Williams asymptotic, (b) Fried's ... More

Riemannian SupergeometryApr 06 2006Motivated by a paper of Zirnbauer, we develop a theory of Riemannian supermanifolds up to a definition of Riemannian symmetric superspaces. Various fundamental concepts needed for the study of these spaces both from the Riemannian and the Lie theoretical ... More

Density of values of linear maps on quadratic surfacesNov 18 2011Jan 29 2013In this paper we investigate the distribution of the set of values of a linear map at integer points on a quadratic surface. In particular we show that this set is dense in the range of the linear map subject to certain algebraic conditions on the linear ... More

The phase transition in the configuration modelApr 04 2011Let $G=G(d)$ be a random graph with a given degree sequence $d$, such as a random $r$-regular graph where $r\ge 3$ is fixed and $n=|G|\to\infty$. We study the percolation phase transition on such graphs $G$, i.e., the emergence as $p$ increases of a unique ... More

Embeddings of the complex ball into Siegel spaceAug 12 2013We study properties of a map from a certain unitary group in $n$ variables to a related unitary group in $\binom{n}{k}$ variables. We explain how it gives rise to a map between canonical models of Shimura varieties and we prove that it extends to the ... More

The McKean-Singer Formula in Graph TheoryJan 08 2013For any finite simple graph G=(V,E), the discrete Dirac operator D=d+d* and the Laplace-Beltrami operator L=d d* + d* d on the exterior algebra bundle Omega are finite v times v matrices, where dim(Omega) = v is the sum of the cardinalities v(k) of the ... More

Existence and uniqueness of linking systems: Chermak's proof via obstruction theoryMar 29 2012We present a version of a proof by Andy Chermak of the existence and uniqueness of centric linking systems associated to arbitrary saturated fusion systems. This proof differs from the one by Chermak in that it is based on the computation of higher derived ... More

PEL Modulispaces without $\mathbb C$-valued pointsAug 29 2008Aug 07 2013We give several new moduli interpretations of the fibers of certain Shimura varieties over several prime numbers. As a corollary we obtain that for every prescribed odd prime characteristic $p$ every bounded symmetric domain possesses quotients by arithmetic ... More

On the relative K-group in the ETNC, Part IINov 07 2018In a previous paper we showed, under some assumptions, that the relative K-group in the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC) is canonically isomorphic to a K-group of locally compact equivariant modules. This viewpoint, ... More

The zeta function for circular graphsDec 16 2013We study the entire function zeta(n,s) which is the sum of l to the power -s, where l runs over the positive eigenvalues of the Laplacian of the circular graph C(n) with n vertices. We prove that the roots of zeta(n,s) converge for n to infinity to the ... More

An index formula for simple graphsMay 02 2012Gauss-Bonnet for simple graphs G assures that the sum of curvatures K(x) over the vertex set V of G is the Euler characteristic X(G). Poincare-Hopf tells that for any injective function f on V the sum of i(f,x) is X(G). We also know that averaging the ... More

Cauchy-Binet for Pseudo-DeterminantsJun 01 2013Jun 18 2014The pseudo-determinant Det(A) of a square matrix A is defined as the product of the nonzero eigenvalues of A. It is a basis-independent number which is up to a sign the first nonzero entry of the characteristic polynomial of A. We prove Det(F^T G) = sum_P ... More

A Brouwer fixed point theorem for graph endomorphismsJun 04 2012We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree i(x) of x with respect to T is defined as a graded ... More

Graphs of Hecke operatorsDec 16 2010Let $X$ be a curve over $\F_q$ with function field $F$. In this paper, we define a graph for each Hecke operator with fixed ramification. A priori, these graphs can be seen as a convenient language to organize formulas for the action of Hecke operators ... More

Promotion of increasing tableaux: frames and homomesiesFeb 05 2017A key fact about M.-P. Sch\"{u}tzenberger's (1972) promotion operator on rectangular standard Young tableaux is that iterating promotion once per entry recovers the original tableau. For tableaux with strictly increasing rows and columns, H. Thomas and ... More

Automorphicity and Mean-PeriodicityJul 25 2013Mar 20 2015If C is a smooth projective curve over a number field k, then, under fair hypotheses, its L-function admits meromorphic continuation and satisfies the anticipated functional equation if and only if a related function is X-mean-periodic for some appropriate ... More

On Helmholtz free energy for finite abstract simplicial complexesMar 20 2017We prove a Gauss-Bonnet formula X(G) = sum_x K(x), where K(x)=(-1)^dim(x) (1-X(S(x))) is a curvature of a vertex x with unit sphere S(x) in the Barycentric refinement G1 of a simplicial complex G. K(x) is dual to (-1)^dim(x) for which Gauss-Bonnet is ... More

A conditional Entropy Power Inequality for dependent variablesNov 02 2001We provide a condition under which a version of Shannon's Entropy Power Inequality will hold for dependent variables. We provide information inequalities extending those found in the independent case.

Infra-Solvmanifolds and Rigidity of Subgroups in Solvable Linear Algebraic GroupsJan 20 2004We give a new proof that compact infra-solvmanifolds with isomorphic fundamental groups are smoothly diffeomorphic. More generally, we prove rigidity results for manifolds which are constructed using affine actions of virtually polycyclic groups on solvable ... More

Contact Homology of Hamiltonian Mapping ToriSep 14 2006Jan 13 2009This paper is concerned with the rational symplectic field theory in the Floer case. For this observe that in the general geometric setup for symplectic field theory the contact manifolds can be replaced by mapping tori of symplectic manifolds with symplectomorphisms. ... More

Classical Teleportation of Classical StatesOct 03 2003The standard quantum teleportation scheme is deconstructed, and those aspects of it that appear remarkable and "non-classical" are identified. An alternative teleportation scheme, involving only classical states and classical information, is then formulated, ... More

EVOLUTION OF FAINT IRAS GALAXIESJan 16 1995Jan 17 1995There has been some disagreement about the strength of evolution exhibited by IRAS galaxies. With a parameterisation such that the co-moving density increases as $(1+z)^P$ measurements of $P$ range from $2\pm3$ to $6.7\pm2.3$. We have recently completed ... More

Analysis of Odd/odd vertex removal games on special graphsApr 30 2013We analyze the Odd/odd vertex removal game introduced by P. Ottaway. We prove that every bipartite graph has Grundy value 0 or 1 only depending on the parity of the number of edges in the graph, which is a generalization of a conjecture of K. Shelton. ... More

TRIOT: Faster iteration over multidimensional arrays in C++11Jul 30 2016Tensor indexing is a fundamental component of numeric algorithms and is used in many programming languages and across many fields. This manuscript proposes a new template-recursive design pattern for implementing faster vectorizing over tensors of different ... More

The geometry of one-loop amplitudesOct 26 2010We review a reduction formula by Petersson that reduces the calculation of a one-loop amplitude with N external lines in n<N space-time dimensions to the case n=N and give it a geometric interpretation. In the case n=N the calculation of the euclidean ... More

Quantum field theory over F_qSep 04 2009Apr 27 2011We consider the number \bar N(q) of points in the projective complement of graph hypersurfaces over \F_q and show that the smallest graphs with non-polynomial \bar N(q) have 14 edges. We give six examples which fall into two classes. One class has an ... More

Harmonic analysis of random number generators and multiplicative groups of residue class ringsOct 04 1996The spectral test of random number generators (R.R. Coveyou and R.D. McPherson, 1967) is generalized. The sequence of random numbers is analyzed explicitly not just via their n-tupel distributions. The generalized analysis of many generators becomes possible ... More

Generating rational loop groups with noncompact reality conditionsOct 09 2009Oct 31 2011We find generators for the full rational loop group of GL(n,C) as well as for the subgroup consisting of loops that satisfy the reality condition with respect to the noncompact real form GL(n,R). We calculate the dressing action of some of those generators ... More

Some Properties of the Computable Cross Norm Criterion for SeparabilityDec 09 2002Jan 20 2003The computable cross norm (CCN) criterion is a new powerful analytical and computable separability criterion for bipartite quantum states, that is also known to systematically detect bound entanglement. In certain aspects this criterion complements the ... More

A new class of entanglement measuresMay 08 2000Jun 16 2001We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space. We show that they ... More

On extremal quantum states of composite systems with fixed marginalsJun 03 2004We study the convex set of all bipartite quantum states with fixed marginal states. The extremal states in this set have recently been characterized by Parthasarathy [Ann. Henri Poincar\'e (to appear), quant-ph/0307182, [1]]. Here we present an alternative ... More

Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equationsJun 12 2006Sep 06 2006This paper is concerned with the initial-boundary value problem for the Einstein equations in a first-order generalized harmonic formulation. We impose boundary conditions that preserve the constraints and control the incoming gravitational radiation ... More

Constrained evolution in axisymmetry and the gravitational collapse of prolate Brill wavesFeb 26 2008May 29 2008This paper is concerned with the Einstein equations in axisymmetric vacuum spacetimes. We consider numerical evolution schemes that solve the constraint equations as well as elliptic gauge conditions at each time step. We examine two such schemes that ... More

Amplitude relations in heterotic string theory and Einstein-Yang-MillsJul 30 2016We present all-multiplicity evidence that the tree-level S-matrix of gluons and gravitons in heterotic string theory can be reduced to color-ordered single-trace amplitudes of the gauge multiplet. Explicit amplitude relations are derived for up to three ... More

Differential geometry of monopole moduli spacesOct 09 2006This thesis was motivated by a desire to understand the natural geometry of hyperbolic monopole moduli spaces. We take two approaches. Firstly we develop the twistor theory of singular hyperbolic monopoles and use it to study the geometry of their charge ... More

Higher Spin Scattering in Superstring TheoryNov 04 2010Jun 17 2011We compute scattering amplitudes of leading Regge trajectory states in open superstring theories. Highest spin states at mass level n with spin s=n+1 for bosons and s=n+1/2 for fermions are generated by particularly simple vertex operators. Hence, the ... More

Higher Loop Spin Field Correlators in D=4 Superstring TheoryJan 19 2010Nov 04 2010We develop calculational tools to determine higher loop superstring correlators involving massless fermionic and spin fields in four space time dimensions. These correlation functions are basic ingredients for the calculation of loop amplitudes involving ... More

Dynamo effects in magnetorotational turbulence with finite thermal diffusivityApr 09 2013We investigate the saturation level of hydromagnetic turbulence driven by the magnetorotational instability in the case of vanishing net flux. Motivated by a recent paper of Bodo, Cattaneo, Mignone, & Rossi, we here focus on the case of a non-isothermal ... More

A mean-field approach to the propagation of field patterns in stratified magneto rotational turbulenceJan 28 2010Local shearing box simulations of stratified magneto rotational turbulence invariably exhibit cyclic field patterns which propagate away from the disc midplane. A common explanation for this is magnetic buoyancy. The recent analysis by Shi et al. however ... More

Background Independence, Diffeomorphism Invariance, and the Meaning of CoordinatesJun 10 2015Diffeomorphism invariance is sometimes taken to be a criterion of background independence. This claim is commonly accompanied by a second, that the genuine physical magnitudes (the "observables") of background-independent theories and those of background-dependent ... More

Enhanced Quantum Transport in Multiplex NetworksMar 05 2015Mar 06 2015Quantum transport through disordered structures is inhibited by (Anderson) localization effects. The disorder can be either topological as in random networks or energetical as in the original Anderson model. In both cases the eigenstates of the Hamiltonian ... More

Study of baryonic decays of B mesons at $BABAR$Feb 04 2014Feb 26 2014We report on recent $BABAR$ analyses of the baryonic $B$ decays $\bar{B}^{0}\to\Lambda_{\rm c}^{+}\bar{p}\pi^{+}\pi^{-}$, $B^{-}\to\Sigma_{\rm c}^{++}\bar{p}\pi^{-}\pi^{-}$, $\bar{B}^{0}\to\Lambda_{\rm c}^{+}\bar{p}p\bar{p}$ and $\bar{B}^{0}\to D^{0}\Lambda\bar{\Lambda}$. ... More

Convergence bound in total variation for an image restoration modelJan 28 2014Mar 13 2014We consider a stochastic image restoration model proposed by A. Gibbs (2004), and give an upper bound on the time it takes for a Markov chain defined by this model to be \epsilon - close in total variation to equilibrium. We use Gibbs' result for convergence ... More

The n-point correlation of quadratic formsJan 07 2014In this paper we investigate the distribution of the set of values of a quadratic form Q, at integral points. In particular we are interested in the n-point correlations of the this set. The asymptotic behaviour of the counting function that counts the ... More

B-meson decay constants with domain-wall light quarks and nonperturbatively tuned relativistic b-quarksNov 01 2013Dec 23 2013We report on our progress to obtain the decay constants f_B and f_Bs from lattice-QCD simulations on the RBC-UKQCD Collaborations 2+1 flavor domain-wall Iwasaki lattices. Using domain-wall light quarks and relativistic b-quarks we analyze data with several ... More

Log-concavity and the maximum entropy property of the Poisson distributionMar 28 2006Oct 11 2006We prove that the Poisson distribution maximises entropy in the class of ultra-log-concave distributions, extending a result of Harremo\"{e}s. The proof uses ideas concerning log-concavity, and a semigroup action involving adding Poisson variables and ... More

Electroweak and Bottom Quark Contributions to Higgs Boson plus Jet ProductionMar 23 2010This paper presents predictions for jet pseudorapidity (eta) and transverse momentum (p_T) distributions for the production of the Standard Model Higgs boson in association with a high-p_T hadronic jet. We discuss the contributions of electroweak loops ... More

On the decomposition matrix of the partition algebra in positive characteristicMar 26 2014We examine the structure of the partition algebra $P_n(\delta)$ over a field $k$ of characteristic $p>0$. In particular, we describe the decomposition matrix of $P_n(\delta)$ when $n<p$ and when $n=p$ and $\delta=p-1$.

Gauge fields and Sternberg-Weinstein Approximation of Poisson ManifoldsMar 30 2004The motion of a classical particle in a gravitational and a Yang-Mills field was described by S. Sternberg and A. Weinstein by a particular Hamiltonian system on a Poisson manifold known under the name of Sternberg-Weinstein phase space. This system leads ... More

On Skorohod spaces as universal sample path spacesDec 06 2004The paper presents a factorization theorem for a certain class of stochastic processes. Skorohod spaces carry the rich structure of standard Borel spaces and appear to be suitable universal sample path spaces. We show that, if $\xi$ is a RCLL stochastic ... More

On Glimm's Theorem for almost Hausdorff G-spacesFeb 22 2012Jul 20 2016We establish a characterization of the well-behaved orbits of a totally Baire $G$-space of a hereditary Lindel\"of locally compact group under a mild assumption of Hausdorffness. Furthermore we give a reformulation of the proof of Glimm's theorem generalizing ... More

$Nπ$-state contamination in lattice calculations of the nucleon axial form factorsDec 21 2018The nucleon-pion-state contribution to QCD two-point and three-point functions used in lattice calculations of the nucleon axial form factors are studied in chiral perturbation theory. For small quark masses this contribution is expected to be the dominant ... More

Multi-hadron-state contamination in nucleon observables from chiral perturbation theoryAug 01 2017Multi-particle states with additional pions are expected to be a non-negligible source of the excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory (ChPT) can be employed to calculate ... More

On the local residue symbol in the style of Tate and BeilinsonMar 31 2014Sep 15 2016Tate gave a famous construction of the residue symbol on curves by using some non-commutative operator algebra in the context of algebraic geometry. We explain Beilinson's multidimensional generalization, which is not so well-documented in the literature. ... More

An information-theoretic Central Limit Theorem for finitely susceptible FKG systemsSep 21 2001We adapt arguments concerning entropy-theoretic convergence from the independent case to the case of FKG random variables. FKG systems are chosen since their dependence structure is controlled through covariance alone, though in the sequel we use many ... More

Notes on Low Degree L-DataJan 19 2016Jan 20 2016These notes are an extended version of a talk given by the author at the conference "Analytic Number Theory and Related Areas", held at Research Institute for Mathematical Sciences, Kyoto University in November 2015. We are interested in "$L$-data", an ... More

Temporal Quantum TheoryJul 30 1998We propose a framework for temporal quantum theories for the purpose of describing states and observables associated with extended regions of space time quantum mechanically. The proposal is motivated by Isham's history theories. We discuss its relation ... More

Cartan's Magic Formula for Simplicial ComplexesNov 26 2018Cartan's magic formula L_X = i_X d + d i_X = (d+i_X)^2=D_X^2 relates the exterior derivative d, an interior derivative i_X and its Lie derivative L_X. We use this formula to define a finite dimensional vector space of vector fields X on a finite abstract ... More

Polynomial bound for the partition rank vs the analytic rank of tensorsFeb 26 2019Mar 01 2019A tensor defined over a finite field $\mathbb{F}$ has low analytic rank if the distribution of its values differs significantly from the uniform distribution. An order $d$ tensor has partition rank 1 if it can be written as a product of two tensors of ... More

Expansion Series of $f(x)=x^x$ And Characterization of its CoefficientsOct 17 2014In this paper we study the development in Taylor series of the function $f(x)=x^x$. First section establishes a recursive relationship among successive derivatives of the function by using the coefficients defined therein. From recursion between the derivatives ... More

Construction of Abelian varieties with given monodromyMay 05 2013Let $\rho$ be a finite-dimensional faithful representation of a semisimple algebraic group $G$. By means of a deformation argument, we show that there exists a family of Abelian varieties over a smooth and projective curve over the algebraic closure of ... More

A Surgery Theory for Manifolds of Bounded GeometryNov 30 2003Jul 09 2004A surgery classification theory is introduced for manifolds of bounded geometry up to quasi-isometry. The Borel conjecture for this theory is proven for flat Euclidean space.

Centers of cyclotomic Sergeev superalgebrasNov 24 2008We prove that the natural map from the center of the affine Sergeev superalgebra to the even center of any cyclotomic Sergeev superalgebra of odd level is surjective, hence that the even center of a cyclotomic Sergeev superalgebra of odd level consists ... More

Real and complex indices of vector fields on complete intersection curves with isolated singularityJan 15 2003Feb 04 2004If (V,0) is an isolated complete intersection singularity and X a holomorphic vector field tangent to V one can define an index of X, the so called GSV index, which generalizes the Poincare-Hopf index. We prove that the GSV index coincides with the dimension ... More