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A Hybrid multiphase model based on lattice Boltzmann method direct simulationsJun 11 2019By means of the multicomponent Shan-Chen lattice Boltzmann method (LBM), we investigate the multiphase flow through porous media. Despite the excellent accuracy of the LBM, large domains result in unaffordable computational expenses. The Hybrid model ... More

Categorizations of limits of Grothendieck groups over a Frobenius P-categoryNov 16 2015In "Frobenius Categories versus Brauer Blocks" and in "Ordinary Grothendieck groups of a Frobenius P-category" we consider suitable inverse limits of Grothendieck groups of categories of modules in characteristics p and zero, obtained from a so-called ... More

On the reduction of Alperin's Conjecture to the quasi-simple groupsApr 10 2010We show that the refinement of Alperin's Conjecture proposed in "Frobenius Categories versus Brauer Blocks", Progress in Math. 274, can be proved by checking that this refinement holds on any central k*-extension of a finite group H containing a normal ... More

Frobenius P-categories via the Alperin conditionApr 09 2010In "Frobenius Categories versus Brauer Blocks", Progress in Math. 274, we introduce the Frobenius P-categories giving two quite different definitions of them. In this paper, we exhibit a third equivalent definition based on the form of the old Alperin ... More

Parameterization of irreducible characters for p-solvable groupsJun 27 2010The weights for a finite group G with respect to a prime number p where introduced by Jon Alperin, in order to formulate his celebrated conjecture. In 1992, Everett Dade formulates a refinement of Alperin's conjecture involving ordinary irreducible characters ... More

Equivariant Alperin-Robinson's Conjecture reduces to almost-simple k*-groupsMar 17 2012May 15 2012In a recent paper, Gabriel Navarro and Pham Huu Tiep show that the so-called Alperin Weight Conjecture can be verified via the Classification of the Finite Simple Groups, provided any simple group fulfills a very precise list of conditions. Our purpose ... More

Ordinary Grothendieck groups of a Frobenius P-categoryApr 09 2010In "Frobenius Categories versus Brauer Blocks", Progress in Math. 274, we have introduced the Frobenius categories F over a finite p-group P, and we have associated to F - suitably endowed with some central k*-extensions - a "Grothendieck group" as an ... More

A criterion on trivial homotopyAug 17 2013Jun 08 2016In "Homotopy decomposition of classifying spaces via elementary Abelian subgroups", Stephan Jackowski and James McClure show, for functors admitting a Mackey complement over categories holding a direct product, a general result on vanishing cohomology. ... More

A mixing operator $T$ for which $(T, T^2)$ is not disjoint transitiveMay 01 2015May 15 2016Using a result from ergodic Ramsey theory, we answer a question posed by B\`es, Martin, Peris and Shkarin by showing a mixing operator $T$ on a Hilbert space such that the tuple $(T, T^2)$ is not disjoint transitive.

The Hecke algebra of a Frobenius P-categoryJan 06 2011We introduce a new avatar of a Frobenius P-category F in the form of a suitable sub-ring H_F of the double Burnside ring of P - called the Hecke algebra of F - where we are able to formulate the generalization to a Frobenius P-category of the Alperin ... More

Nilpotent extensions of blocksApr 09 2010There are normal sub-blocks of nilpotent blocks which are NOT nilpotent or, equivalently, nilpotent extensions of non-nilpotent blocks. In this paper we determine the source algebra structure of the non-nilpotent blocks involved in these situations. Actually, ... More

Fermat varieties and the periods of some hypersurfacesMay 11 2010The variety of all smooth hypersurfaces of given degree and dimension has the Fermat hypersurface as a natural base point. In order to study the period map for such varieties, we first determine the integral polarized Hodge structure of the primitive ... More

Nonlinear tensor distributions on Riemannian manifoldsApr 05 2011We construct an algebra of nonlinear generalized tensor fields on manifolds in the sense of J.-F. Colombeau, i.e., containing distributional tensor fields as a linear subspace and smooth tensor fields as a faithful subalgebra. The use of a background ... More

Point value characterizations and related results in the full Colombeau algebras G^e and G^dApr 05 2011We present a point value characterization for elements of the elementary full Colombeau algebra G^e and the diffeomorphism invariant full Colombeau algebra G^d. Moreover, several results from the special algebra G^s about generalized numbers and invertibility ... More

Compactifications defined by arrangements I: the ball quotient caseJun 27 2001Aug 17 2001We define a natural compactification of an arrangement complement in a ball quotient. We show that when this complement has a moduli space interpretation, then this compactification is often one that appears naturally by means of geometric invariant theory. ... More

Uniformization by Lauricella functions--an overview of the theory of Deligne-MostowJul 26 2005This is a survey of the Deligne-Mostow theory of Lauricella functions, or what almost amounts to the same thing, of the period map for cyclic coverings of the Riemann sphere.

On one condition of absolutely continuous spectrum for self-adjoint operators and its applicationsNov 02 2017In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of self-adjoint operator $A$ by a sequence of operators $A_n$ with absolutely continuous ... More

Cohomological amplitude for constructible sheaves on moduli spaces of curvesMar 20 2012Aug 30 2013We give bounds for the cohomology of constructible sheaves on the moduli stacks M_{g,n} over the complex field. This enables us recover Harer's bound for the virtual cohomological dimension of the associated mapping class groups as well the theorem of ... More

Affine Artin groups and the fundamental groups of some moduli spacesJan 26 1998May 29 2007We define for every affine Coxeter graph a certain factor group of the associated Artin group and prove that some of these groups appear as orbifold fundamental groups of moduli spaces. Examples are the moduli space of nonsingular cubic algebraic surfaces ... More

Baryonic Dark Matter: Theory and Experiment. OverviewJan 25 1996The general arguments for baryonic and galactic dark matter are presented. Limits coming from a variety of theoretical considerations and observations are discussed. The surviving candidates for galactic baryonic dark matter seem most likely to be in ... More

Connectivity of complexes of separating curvesJan 06 2010Feb 08 2012We prove that the separated curve complex of a closed orientable surface of genus g is (g-3)-connected. We also obtain a connectivity property for a separated curve complex of the open surface that is obtained by removing a finite set from a closed one, ... More

Goresky-Pardon extensions of Chern classes and associated Tate extensionsOct 14 2015Nov 05 2015Let X be an irreducible complex variety, S a stratification of X and F a holomorphic vector bundle on the open statum. We give geometric conditions on S and F that produce a natural extension of the k-th Chern class F as a class in the complex cohomology ... More

Weak solutions to problems involving inviscid fluidsMar 13 2015We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics. Using the method of convex ... More

Maximal dissipation and well-posedness for the compressible Euler systemSep 09 2013We discuss the problem of well-posedness of the compressible (barotropic) Euler system in the framework of weak solutions. The principle of maximal dissipation introduced by C.M. Dafermos is adapted and combined with the concept of admissible weak solutions. ... More

Asymptotics of eigenvalues for an energy operator of the one model of quantum physicsMay 05 2010In this paper we consider eigenvalues asymptotics of the energy operator in the one of the most interesting models of quantum physics, describing an interaction between two-level system and harmonic oscillator. The energy operator of this model can be ... More

Production and Testing of the LHCb Outer Tracker Front End Readout ElectronicsNov 27 2007The LHCb Outer Tracker is a straw drift detector with a modular design and a total of 53760 readout channels distributed over a sensitive area of 12 double layers of 6x5 m2 each. The main electronics readout requirement is the precise (0.5 ns) drift time ... More

From WZW models to Modular FunctorsSep 12 2010Aug 23 2011In this survey paper (which supersedes our earlier arXiv preprint math.AG/0507086) we give a relatively simple and coordinate free description of the WZW model as a local system whose base is a G_m-bundle on the moduli stack of pointed curves. We derive ... More

The Weight of Vacuum FluctuationsFeb 25 2009Aug 18 2009We examine the gravitational properties of Lamb shift energies. Using available experimental data we show that these energies have a standard gravitational behavior at the level of $\sim 10^{-5}$. We are motivated by the point of view that Lamb shift ... More

Axions and Axion-like ParticlesSep 12 2002I review the theoretical motivation for the axion and present an update of the experimental status of axion searches. I finally comment on some aspects of the physics of axion-like particles.

Pseudoscalar production in electromagnetic fields by a Schwinger-like mechanismJan 25 2001In this talk I report on some recent calculations on the production of pseudoscalars from intense electromagnetic fields.

Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvaluesNov 22 2002In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have ... More

On Locality in Quantum General Relativity and Quantum GravityMar 25 1996The physical concept of locality is first analyzed in the special relativistic quantum regime, and compared with that of microcausality and the local commutativity of quantum fields. Its extrapolation to quantum general relativity on quantum bundles over ... More

Cellular decompositions of compactified moduli spaces of pointed curvesDec 05 1994To a closed connected oriented surface $S$ of genus $g$ and a nonempty finite subset $P$ of $S$ is associated a simplicial complex (the arc complex) that plays a basic r\^ ole in understanding the mapping class group of the pair $(S,P)$. It is known that ... More

Note on Archimedean property in ordered vector spacesSep 11 2013It is shown that an ordered vector space $X$ is Archimedean if and only if $\inf\limits_{\tau\in\{\tau\}, y\in L}(x_\tau -y) \ = 0$ for any bounded decreasing net $x_\tau\downarrow$ in $X$, where $L$ is the collection of all lower bounds of $\{x_\tau\}_{\tau}$. ... More

C*-dynamical systems associated to Graph C*-AlgebrasJun 29 2011Sep 19 2011We use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^\gamma \times_{\beta_E} N, to study its ideal properties in terms of the (non-classical) C*-dynamical system (C*(E)^\gamma, \beta_E)

Discrete automorphism groups of convex cones of finite typeAug 02 2009Apr 15 2014We investigate subgroups of SL (n,Z) which preserve an open nondegenerate convex cone in real n-space and admit in that cone as fundamental domain a polyhedral cone of which some faces are allowed to lie on the boundary. Examples are arithmetic groups ... More

Conformal blocks revisitedJul 05 2005We give a simple coordinate free description of the WZW connection and derive its main properties.

Moduli spaces and locally symmetric varietiesApr 15 2014This is a survey paper on moduli spaces that have a natural structure of a (possibly incomplete) locally symmetric variety. We outline the Baily-Borel compactification for such varieties and compare it with the compactifications furnished by techniques ... More

Compactifications defined by arrangements II: locally symmetric varieties of type IVJan 22 2002Apr 26 2002We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An arithmetic arrangement in a locally symmetric variety of type IV determines ... More

Behavioral Program Logic and LAGC Semantics without Continuations (Technical Report)Apr 30 2019We present Behavioral Program Logic (BPL), a dynamic logic for trace properties that incorporates concepts from behavioral types and allows reasoning about non-functional properties within a sequent calculus. BPL uses behavioral modalities [s |- {\tau} ... More

Invariants of quartic plane curves as automorphic formsMay 25 2005We identify the algebra of regular functions on the space of quartic polynomials in three complex variables invariant under SL(3,C) with an algebra of meromorphic automorphic forms on the complex 6-ball. We also discuss the underlying geometry.

Bornologically isomorphic representations of distributions on manifoldsMay 09 2011Distributional tensor fields can be regarded as multilinear mappings with distributional values or as (classical) tensor fields with distributional coefficients. We show that the corresponding isomorphisms hold also in the bornological setting.

Two-sided localizations of bimodulesJun 18 2008We extend to bimodules Schelter's localization of a ring with respect to Gabriel filters of left and right ideals. Our two-sided localization of bimodules provides an endofunctor on a convenient bicategory of rings with filters of ideals. This is used ... More

Goresky-Pardon lifts of Chern classes and associated Tate extensionsOct 14 2015Mar 03 2017Let X be an irreducible complex variety, S a stratification of X and F a holomorphic vector bundle on the open statum. We give geometric conditions on S and F that produce a natural extension of the k-th Chern class F as a class in the complex cohomology ... More

A physically inspired model of Dip d792 and d1519 of the Kepler light curve seen at KIC8462852Nov 25 2016The star KIC 8462852 shows a very unusual and hard to comprehend light curve. The dip d7922 absorbs 16% of the starlight. The light curve is unusually smooth but the very steep edges make it hard to find a simple natural explanation by covering due to ... More

The relative exponential growth rate of subgroups of acylindrically hyperbolic groupsNov 19 2016In this paper we prove that the relative exponential growth rate of any subgroup H of a finitely generated group G exists with respect to every finite generating set of G if H contains a generalized loxodromic element. We will prove that the relative ... More

On coverage and local radial rates of DDM-credible setsJul 20 2014Oct 20 2015For a general statistical model, we introduce the notion of data dependent measure (DDM) on the model parameter. Typical examples of DDM are the posterior distributions. Like for posteriors, the quality of a DDM is characterized by the contraction rate ... More

The Topological Processor for the future ATLAS Level-1 Trigger: from design to commissioningJun 17 2014The ATLAS detector at LHC will require a Trigger system to efficiently select events down to a manageable event storage rate of about 400 Hz. By 2015 the LHC instantaneous luminosity will be increased up to 3 x 10^34 cm-2s-1, this represents an unprecedented ... More

Heterointerface potentials in the effective-mass approximation for wurtzite semiconductor structuresMay 04 2015In the effective-mass approximation, the step-like crystal potential of a wurtzite semiconductor heterostucture should be supplemented by Dirac delta-function heterointerface terms. They stem from the difference in the Bloch functions of the semiconductors ... More

Cylindrical coordinate representation for multiband HamiltoniansJul 07 2011Oct 27 2012Rotationally invariant combinations of the Brillouin zone-center Bloch functions are used as basis function to express in cylindrical coordinates the valence-band and Kane envelope-function Hamiltonians for wurtzite and zinc-blende semiconductor heterostructures. ... More

Galaxies at High Redshifts - Observing Galaxies in the CradleDec 11 1998Due to the invention of new powerful instruments in the recent past (e.g. 10m class telescopes) high redshift galaxies are no longer a curiosity. High redshift young star forming galaxies can be effectively discriminated from the much more abundant foreground ... More

Quantum Geometry and GravityNov 01 1995The geometro-stochastic method of quantization provides a framework for quantum general relativity, in which the principal frame bundles of local Lorentz frames that underlie the fibre-theoretical approach to classical general relativity are replaced ... More

The dynamical systems approach to the equations of a linearly viscous compressible barotropic fluidApr 28 2003We develop a dynamical systems theory for the compressible Navier-Stokes equations based on global in time weak solutions. The following questions will be addressed: Global existence and critical values of the adiabatic constant; dissipativity in the ... More

The period map for cubic fourfoldsMay 07 2007The period map for cubic fourfolds takes values in a locally symmetric variety of orthogonal type of dimension 20. We determine the image of this period map (thus confirming a conjecture of Hassett) and give at the same time a new proof of the theorem ... More

A topological interpretation of the KZ systemMar 10 2010Jan 11 2011We show that the KZ system has a purely topological interpretation in the sense that it may be understood as a variation of complex mixed Hodge structure whose successive pure weight quotients are polarized. This in a sense completes and elucidates work ... More

Pricing financial derivatives by a minimizing methodNov 27 2008Oct 10 2013We shall study backward stochastic differential equations and we will present a new approach for the existence of the solution. This type of equation appears very often in the valuation of financial derivatives in complete markets. Therefore, the identification ... More

Glauberman correspondents and extensions of nilpotent block algebrasMar 14 2012The main purpose of this paper is to prove that the extensions of a nilpotent block algebra and its Glauberman correspondent block algebra are Morita equivalent under an additional group-theoretic condition. In particular, Harris and Linckelman's theorem ... More

On blocks with trivial source simple modulesApr 10 2010Motivated by an observation in "Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups", J. of Algebra 322, we determine the source algebra, and therefore all the structure, of the blocks without essential Brauer ... More

Needles and straw in a haystack: robust empirical Bayes confidence for possibly sparse sequencesNov 05 2015Apr 04 2016In the many normal means model we construct an empirical Bayes posterior which we then use for uncertainty quantification for the unknown (possibly sparse) parameter by constructing an estimator and a confidence set around it as empirical Bayes credible ... More

Summing the derivative expansion of the effective actionSep 06 2001Jan 22 2002The derivative expansion of the effective action is a perturbative development in derivatives of the fields. The expansion breaks down when some of the derivatives are too large. We show how to sum exactly the first and second derivatives and treat perturbatively ... More

Spacetimes with distributional semi-Riemannian metrics and their curvatureFeb 18 2019We develop a comprehensive geometric framework for the rigorous treatment of metrics with low regularity by means of regularization methods. The resulting tensor calculus is used to calculate the curvature of the conical metric describing cosmic strings. ... More

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functionsMar 28 2016Mar 16 2018We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations ... More

Manifold-valued generalized functions in full Colombeau spacesMar 30 2011Oct 12 2011We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle ... More

Finite Magnetic Flux Tube as a Black & White DiholeAug 03 1994Aug 31 1994A finite-length magnetic vortex line solution is derived within the context of (4-dim) dilaton gravity. We approach the Bonnor metric at the Einstein-Maxwell limit, and encounter the "flux tube as (Euclidean) Kerr horizon" at the Kaluza-Klein level. Exclusively ... More

Improved Bounds on the Electromagnetic Dipole Moments of the Tau LeptonSep 20 1996Using electroweak data and an effective Lagrangian approach we obtain stringent bounds on the tau anomalous magnetic moment, $-0.004 \leq a_\tau \leq 0.006$, and on its electric dipole moment, $|d_\tau| \leq 1.1 \times 10^{-17} e$ cm. This significantly ... More

Stochastic Navier-Stokes-Fourier equationsOct 28 2017We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. Stochastic effects are implemented through (i) random initial data, (ii) a forcing ... More

Simpler than vacuum: Antiscalar alternatives to black holesSep 14 2018Sep 26 2018The Janis-Newman-Winicour and Papapetrou metrics represent counterparts to the Schwarzschild black hole with scalar and antiscalar background fields, correspondingly (where "anti" is to be understood as in "anti-de Sitter"). There is also a scalar counterpart ... More

3-submersions from QR-hypersurfaces of quaternionic Kaehler manifoldsJun 12 2011In this paper we study 3-submersions from a QR-hypersurface of a quaternionic Kaehler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kaehler manifolds which are ... More

The structure of crossed products by endomorphismsSep 19 2011We describe simplicity of the Stacey crossed product A\times_\beta \N in terms of conditions of the endomorphism \beta. Then, we use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^\gamma\times_{\beta_E}\N to study ... More

On a singular limit for stratified compressible fluidsFeb 28 2018May 16 2018We consider a singular limit problem for the complete compressible Euler system in the low Mach and strong stratification regime. We identify the limit problem - the anelastic Euler system - in the case of well prepared initial data. The result holds ... More

Low complexity sum rate maximization for single and multiple stream MIMO AF relay networksNov 26 2012A multiple-antenna amplify-and-forward two-hop interference network with multiple links and multiple relays is considered. We optimize transmit precoders, receive decoders and relay AF matrices to maximize the achievable sum rate. Under per user and total ... More

Performance of Media-based Modulation in Multi-user NetworksJan 30 2018High spectral efficiency and low power consumption are the most challenging requirements of 5G networks since the number of devices are increased drastically. Media-based modulation (MBM) is a promising scheme in order to achieve these requirements. In ... More

Homogenization of the fluid-saturated piezoelectric porous mediaJan 16 2018The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore fluid in the ... More

Nested Named Entity Recognition via Second-best Sequence Learning and DecodingSep 05 2019When an entity name contains other names within it, the identification of all combinations of names can become difficult and expensive. We propose a new method to recognize not only outermost named entities but also inner nested ones. We design an objective ... More

Dijets at Tevatron Cannot Constrain SMEFT Four-Quark OperatorsJul 30 2019We explore the sensitivity of Tevatron data to heavy new physics effects in differential dijet production rates using the SMEFT in light of the fact that consistent and conservative constraints from the LHC cannot cover relatively low cutoff scales in ... More

The period map for cubic threefoldsAug 11 2006Allcock-Carlson-Toledo defined a period map for cubic threefolds which takes values in a ball quotient of dimension 10. A theorem of Voisin implies that this is an open embedding. We determine its image and show that on the algebraic level this amounts ... More

The global bifurcation picture for ground states in nonlinear Schrodinger equationsNov 14 2018In this paper, we propose a method of finding all coherent structures supported by a given nonlinear wave equation. It relies on enhancing the recent global bifurcation theory as developed by Dancer, Toland, Buffoni and others, by determining all the ... More

On the unitary nature of abelian conformal blocksNov 06 2007We determine the projectively flat unitary structure on abelian conformal blocks in terms of WZW-data.

Definition Frames: Using Definitions for Hybrid Concept RepresentationsSep 10 2019Concept representations is a particularly active area in NLP. Although recent advances in distributional semantics have shown tremendous improvements in performance, they still lack semantic interpretability. In this paper, we introduce a novel hybrid ... More

Modelling large-deforming fluid-saturated porous media using an Eulerian incremental formulationOct 14 2016The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial configuration in terms of the equilibrium equation and the mass conservation. ... More

Correlations in avalanche critical pointsFeb 02 2009Feb 09 2009Avalanche dynamics and related power law statistics are ubiquitous in nature, arising in phenomena like earthquakes, forest fires and solar flares. Very interestingly, an analogous behavior is associated with many condensed matter systems, like ferromagnets ... More

Diluted 3d-Random Field Ising Model at zero temperature with metastable dynamicsMay 06 2006May 12 2006We study the influence of vacancy concentration on the behaviour of the three dimensional Random Field Ising model with metastable dynamics. We focus our analysis on the number of spanning avalanches which allows for a clean determination of the critical ... More

Numerical signs for a transition in the 2d Random Field Ising Model at T=0May 13 1999Intensive numerical studies of exact ground states of the 2-d ferromagnetic random field Ising model at T=0 with gaussian distribution of fields are presented. Standard finite size scaling analysis of the data suggests the existence of a transition at ... More

Statistical properties of pinning fields in the 3d-Gaussian RFIMMay 12 2006We have defined pinning fields as those random fields that keep some of the magnetic moments unreversed in the region of negative external applied field during the demagnetizing process. An analysis of the statistical properties of such pinning fields ... More

High Precision Tests of QED and Physics beyond the Standard ModelJul 02 1996Aug 25 1997We study the four most significant high precision observables of QED ---the anomalous electron and muon magnetic moments, the hydrogen Lamb shift and muonium hyperfine splitting--- in the context of SU(2) x U(1) gauge-invariant effective Lagrangians. ... More

Archimedeanization of ordered vector spacesJun 13 2014Aug 22 2014In the case of an ordered vector space with an order unit, the Archimedeanization method has been developed recently by V.I Paulsen and M. Tomforde. We present a general version of the Archimedeanization which covers arbitrary ordered vector spaces.

Instantaneous Relaying: Optimal Strategies and Interference NeutralizationApr 23 2012May 09 2012In a multi-user wireless network equipped with multiple relay nodes, some relays are more intelligent than other relay nodes. The intelligent relays are able to gather channel state information, perform linear processing and forward signals whereas the ... More

On regularization of vector distributions on manifoldsApr 09 2015One can represent Schwartz distributions with values in a vector bundle $E$ by smooth sections of $E$ with distributional coefficients. Moreover, any linear continuous operator which maps $E$-valued distributions to smooth sections of another vector bundle ... More

The fine structure of Kontsevich-Zorich strata for genus 3Aug 21 2012We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

Homogenization of the vibro-acoustic transmission on perforated platesJan 01 2019The paper deals with modelling of acoustic waves which propagate in inviscid fluids interacting with perforated elastic plates. The plate can be replaced by an interface on which transmission conditions are derived by homogenization of a problem describing ... More

On strong continuity of weak solutions to the compressible Euler systemApr 30 2019Let $\mathcal{S} = \{ \tau_n \}_{n=1}^\infty \subset (0,T)$ be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler system admits (infinitely many) admissible weak solutions that are not strongly ... More

Non-self-adjoint Jacobi matrices with rank one imaginary partFeb 02 2006We develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoint Jacobi matrices with a rank one imaginary part. It is shown that given a set of $n$ not necessarily distinct non-real numbers in the open upper (lower) half-plane ... More

On Matrix-Valued Herglotz FunctionsDec 11 1997We provide a comprehensive analysis of matrix-valued Herglotz functions and illustrate their applications in the spectral theory of self-adjoint Hamiltonian systems including matrix-valued Schr\"odinger and Dirac-type operators. Special emphasis is devoted ... More

A perfect stratification of M_g for g at most 5Aug 25 2007Jun 23 2008We find for g at most 5 a stratification of depth g-2 of the moduli space of curves M_g with the property that its strata are affine and the classes of their closures provide a Q-basis for the Chow ring of M_g. The first property confirms a conjecture ... More

Mapping Class Groups and Moduli Spaces of CurvesJul 04 1996Nov 04 1996This is a survey paper that also contains some new results. It will appear in the proceedings of the AMS summer research institute on Algebraic Geometry at Santa Cruz.

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functionsMar 28 2016We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations ... More

On a nonlinear Peetre theorem in full Colombeau algebrasJan 25 2016We adapt a nonlinear version of Peetre's theorem on local operators in order to investigate representatives of nonlinear generalized functions occurring in the theory of full Colombeau algebras.

An anelastic approximation arising in astrophysicsApr 20 2016We identify the asymptotic limit of the compressible non-isentropic Navier-Stokes system in the regime of low Mach, low Froude and high Reynolds number. The system is driven by a long range gravitational potential. We show convergence to an anelastic ... More

Inviscid incompressible limits of the full Navier-Stokes-Fourier systemMay 29 2012We consider the full Navier-Stokes-Fourier system in the singular limit for the small Mach and large Reynolds and Peclet numbers, with ill prepared initial data on the three dimensional Euclidean space. The Euler-Boussinesq approximation is identified ... More