Results for "Christian Mai"

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Frontal Screens on Head-Mounted Displays to Increase Awareness of the HMD Users' State in Mixed Presence CollaborationMay 15 2019In the everyday context, e.g., a household, HMD users remain a part of the social life for Non-HMD users being co-located with them. Due to the social context situations arise that demand interaction between the HMD and the Non-HMD user. We focus on the ... More
A Qualitative Post-Experience Method for Evaluating Changes in VR Presence Experience Over TimeMay 14 2019A particular measure to evaluate a head-mounted display (HMD) based experience is the state of feeling present in virtual reality. Interruptions of a presence experience - break in presence (BIP) - appearing over time, need to be detected to assess and ... More
Forward-reverse EM algorithm for Markov chains: convergence and numerical analysisJan 28 2015We develop a forward-reverse EM (FREM) algorithm for estimating parameters that determine the dynamics of a discrete time Markov chain evolving through a certain measurable state space. As a key tool for the construction of the FREM method we develop ... More
A note on powers of Boolean spaces with internal semigroupsNov 29 2018Jan 17 2019Boolean spaces with internal semigroups generalize profinite semigroups and are pertinent for the recognition of not-necessarily regular languages. Via recognition, the study of existential quantification in logic on words amounts to the study of certain ... More
A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularityMar 27 2013The problem whether weighted estimates for multilinear Fourier multipliers with Sobolev regularity hold under weak condition on weights is considered.
Detection of Single Molecules Illuminated by a Light-Emitting DiodeJan 14 2011Optical detection and spectroscopy of single molecules has become an indispensable tool in biological imaging and sensing. Its success is based on fluorescence of organic dye molecules under carefully engineered laser illumination. In this paper we demonstrate ... More
Ultrahigh molecular recognition specificity of competing DNA oligonucleotide strands in thermal equilibriumFeb 15 2016The specificity of molecular recognition is important to molecular self-organization. A prominent example is the biological cell where, within a highly crowded molecular environment, a myriad of different molecular receptor pairs recognize their binding ... More
Dependence of protein mechanical unfolding pathways on pulling speedsDec 06 2009Mechanical unfolding of the fourth domain of Distyostelium discoideum filamin (DDFLN4) was studied in detail using the C$_{\alpha}$-Go model. We show that unfolding pathways of this protein depend on the pulling speed. The agreement between theoretical ... More
Simple Automatic Post-editing for Arabic-Japanese Machine TranslationJul 14 2019A common bottleneck for developing machine translation (MT) systems for some language pairs is the lack of direct parallel translation data sets, in general and in certain domains. Alternative solutions such as zero-shot models or pivoting techniques ... More
Calderón's problem for some classes of conductivities in circularly symmetric domainsMar 18 2019In this note, we study Calder\'on's problem for certain classes of conductivities in domains with circular symmetry in two and three dimensions. Explicit formulas are obtained for the reconstruction of the conductivity from the Dirichlet-to-Neumann map. ... More
A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problemMar 25 2019Jun 05 2019Two main aims of this paper are to develop a numerical method to solve an inverse source problem for parabolic equations and apply it to solve a nonlinear coefficient inverse problem. The inverse source problem in this paper is the problem to reconstruct ... More
Convolutional Neural Networks combined with Runge-Kutta MethodsFeb 24 2018Jan 17 2019A convolutional neural network for image classification can be constructed mathematically since it can be regarded as a multi-period dynamical system. In this paper, a novel approach is proposed to construct network models from the dynamical systems view. ... More
Yet again on iteration improvement for averaged expected cost control for 1D ergodic diffusionsDec 27 2018Apr 06 2019The paper is a full version of the short presentation in \cite{amv17}. Ergodic control for one-dimensional controlled diffusion is tackled; both drift and diffusion coefficients may depend on a strategy which is assumed markovian. Ergodic HJB equation ... More
Stone duality, topological algebra, and recognitionSep 10 2013Our main result is that any topological algebra based on a Boolean space is the extended Stone dual space of a certain associated Boolean algebra with additional operations. A particular case of this result is that the profinite completion of any abstract ... More
MISO Capacity with Per-Antenna Power ConstraintMar 08 2010Jan 18 2011We establish in closed-form the capacity and the optimal signaling scheme for a MISO channel with per-antenna power constraint. Two cases of channel state information are considered: constant channel known at both the transmitter and receiver, and Rayleigh ... More
Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order GravitiesAug 01 2018Nov 19 2018We consider massless higher-order gravities in general $D=d+1$ dimensions, which are Einstein gravity extended with higher-order curvature invariants in such a way that the linearized spectrum around the AdS vacua involves only the massless graviton. ... More
Regularity of distributions of Wigner integralsDec 23 2015Mar 07 2016Wigner integrals and the corresponding Wigner chaos were introduced by P. Biane and R. Speicher in 1998 as a non-commutative counterpart of classical Wiener-It\^o integrals and the corresponding Wiener-It\^o chaos, respectively, in free probability. In ... More
3-body quantization condition in a unitary formalismOct 01 2018Unitarity identifies all power-law finite-volume effects and is, therefore, the crucial S-matrix principle for a mapping between experimental results and those of Lattice QCD calculations. In this contribution we review how 3-body unitarity constrains ... More
On limit Brody curves in $\mathbb C^n$ and $(\mathbb C^*)^2$Oct 27 2013Feb 14 2014In this paper, the conjecture on the Zalcmanness of $\mathbb C^n \ (n\geq 2)$ and $(\mathbb C^*)^2$, which is posed in \cite{Do}, is proved in the case where the derivatives of limit holomorphic curves are bounded. Moreover, several criteria for normality ... More
Classification on Large Networks: A Quantitative Bound via Motifs and GraphonsOct 24 2017When each data point is a large graph, graph statistics such as densities of certain subgraphs (motifs) can be used as feature vectors for machine learning. While intuitive, motif counts are expensive to compute and difficult to work with theoretically. ... More
Gelfand-Pinsker coding achieves the interference-free capacityAug 27 2010Sep 03 2010For a discrete memoryless channel with non-causal state information available only at the encoder, it is well-known that Gelfand-Pinsker coding achieves its capacity. In this paper, we analyze Gelfand-Pinsker coding scheme and capacity to bring out further ... More
Constraints on the chiral unitary $\bar KN$ amplitude from $πΣK^+$ photoproduction dataOct 13 2015A chiral unitary approach for antikaon-nucleon scattering in on-shell factorization is studied. We find multiple sets of parameters for which the model describes all existing hadronic data similarly well. We confirm the two-pole structure of the ${\Lambda}(1405)$. ... More
Effect of the Jet Production on Pseudorapidity, Transverse Momentum and Transverse Mass Distributions of Charged Particles Produced in pp-Collisions at Tevatron EnergyDec 13 2014May 13 2015We investigate the effects of jet production on the following parameters: pseudorapidity, transverse momentum and transverse mass distributions of secondary charged particles produced in pp-collisions at 1.8 TeV, using the HIJING code. These distributions ... More
Solution of two-center time-dependent Dirac equation in spherical coordinates: Application of the multipole expansion of the electron-nuclei interactionAug 23 2012Oct 24 2012A non-perturbative approach to the solution of the time-dependent, two-center Dirac equation is presented with a special emphasis on the proper treatment of the potential of the nuclei. In order to account for the full multipole expansion of this potential, ... More
Consistency of survival tree and forest models: splitting bias and correctionJul 30 2017Feb 04 2019Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this paper, we investigate ... More
The Capacity of MIMO Channels with Per-Antenna Power ConstraintJun 24 2011We establish the optimal input signaling and the capacity of MIMO channels under per-antenna power constraint. While admitting a linear eigenbeam structure, the optimal input is no longer diagonalizable by the channel right singular vectors as with sum ... More
On the relativistic KMS condition for the P(φ)_2 modelSep 29 2006The relativistic KMS condition introduced by Bros and Buchholz provides a link between quantum statistical mechanics and quantum field theory. We show that for the $P(\phi)_2$ model at positive temperature, the two point function for fields satisfies ... More
Phenomenological model for a novel melt-freeze phase of sliding bilayersJan 31 2006Simulations show that sliding bilayers of colloidal particles can exhibit a new phase, the ``melt-freeze'' phase, where the layers stochastically alternate between solidlike and liquidlike states. We introduce a mean field phenomenological model with ... More
Entropic convergence and the linearized limit for the Boltzmann equation with external forceDec 15 2016The purpose of this note, as a compendium, is to extend the results on entropic convergence and the linearized limit for the Boltzmann equation (without external force) in \cite{Levermore} by Levermore to the case of the Boltzmann equation with external ... More
Thermal Quantum Fields without Cut-offs in 1+1 Space-time DimensionsMar 26 2004We construct interacting quantum fields in 1+1 dimensional Minkowski space, representing neutral scalar bosons at positive temperature. Our work is based on prior work by Klein and Landau and Hoegh-Krohn
Relaxed Logarithmic Barrier Function Based Model Predictive Control of Linear SystemsMar 11 2015In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic stability of the corresponding closed-loop system, and discuss further ... More
A classical interpretation of quantum mechanics and the measurement problemJan 21 2008In this paper a didactic approach is described which immediately leads to an understanding of those postulates of quantum mechanics used most frequently in quantum computation. Moreover, an interpretation of quantum mechanics is presented which is motivated ... More
Moment Closure - A Brief ReviewMay 07 2015Sep 29 2015Moment closure methods appear in myriad scientific disciplines in the modelling of complex systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled differential (or difference) equations. Each equation describes ... More
A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamicsJan 14 2011Feb 21 2011Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used to describe this situation. Critical transitions have been observed in ... More
Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen-Cahn EquationAug 18 2014Apr 03 2015We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic $Q$-trace-class stochastic forcing in two spatial dimensions. This stochastic partial differential equation (SPDE) is used as a test case to understand, how numerical ... More
From First Lyapunov Coefficients to Maximal CanardsJan 31 2012Hopf bifurcations in fast-slow systems of ordinary differential equations can be associated with surprising rapid growth of periodic orbits. This process is referred to as canard explosion. The key step in locating a canard explosion is to calculate the ... More
On decomposing mixed-mode oscillations and their return mapsOct 12 2010Jun 23 2011Alternating patterns of small and large amplitude oscillations occur in a wide variety of physical, chemical, biological and engineering systems. These mixed-mode oscillations (MMOs) are often found in systems with multiple time scales. Previous differential ... More
Zero-bias conductance peak split in d-wave superconductors: Derivation of the universal magnetic field dependenceApr 22 2009The zero-bias conductance peak in d-wave superconductors splits in an applied magnetic field. In this work, the experimentally observed universal relation delta ~ B0^(1/2) for strip-shaped samples is derived analytically based on the long-ranged current ... More
On the Cholesky methodMay 31 2009Jun 09 2009In this paper, we prove that if the matrix of the linear system is symetric, the Cholesky decomposition can be obtained from the Gauss elimination method without pivoting, without proving that the matrix of the system is positive definite.
Modeling Encounters of Galaxies: The Case of NGC4449Jul 17 1999(abridged) Several N-body methods were combined in order to develop a method for the determination of the parameters of interacting galaxies. This method has been applied to the HI distribution of NGC4449. In a first step the fast restricted N-body models ... More
A Categorization of Transparency-Enhancing TechnologiesJul 17 2015Jul 22 2015A variety of Transparency-Enhancing Technologies has been presented during the past years. However, investigation of frameworks for classification and assessment of Transparency-Enhancing Technologies has lacked behind. The lack of precise classification ... More
Strand separation in negatively supercoiled dnaJun 18 2003We consider a model for strand separation in negatively supercoiled dna, and study the effect of supercoiling on the localization of denaturation, using notions from statistical mechanics. The model is based on on mean field Ising system, coupled with ... More
Noncommutative Schur polynomials and the crystal limit of the U_q sl(2)-vertex modelJun 24 2010Jul 15 2010Starting from the Verma module of U_q sl(2) we consider the evaluation module for affine U_q sl(2) and discuss its crystal limit (q=0). There exists an associated integrable statistical mechanics model on a square lattice defined in terms of vertex configurations. ... More
Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato classAug 15 2016This article shows that if the negative part of Ricci curvature lies in the Kato class, the heat kernel satisfies a Li-Yau type estimate. The resulting heat kernel and eigenvalue estimates are in preparation.
Milnor K-theory of complete DVR's with finite residue fieldSep 03 2015Consider a complete discrete valuation ring $\mathcal{O}$ with quotient field $F$ and finite residue field. Then the inclusion map $\mathcal{O} \hookrightarrow F$ induces a map $\hat{\mathrm{K}}^\mathrm{M}_*\mathcal{O} \to \hat{\mathrm{K}}^\mathrm{M}_*F$ ... More
A Symbolic and Surgical Acquisition of Terms through VariationMay 04 1995May 04 1995Terminological acquisition is an important issue in learning for NLP due to the constant terminological renewal through technological changes. Terms play a key role in several NLP-activities such as machine translation, automatic indexing or text understanding. ... More
Top Quark Mass in Lepton+Jets Decays at the TevatronDec 08 2008Various measurements of the top quark mass in the lepton+jets decay channel of top quark pair production are presented. The measurements are performed on data samples of up to 2.7 fb-1 of integrated luminosity acquired by the CDF and D0 experiments in ... More
A Note on Archetypal Analysis and the Approximation of Convex HullsSep 27 2014We briefly review the basic ideas behind archetypal analysis for matrix factorization and discuss its behavior in approximating the convex hull of a data sample. We then ask how good such approximations can be and consider different cases. Understanding ... More
Entropy Production in Driven Spatially Extended SystemsJan 05 2001This is a short review of the statistical mechanical definition of entropy production for systems composed of a large number of interacting components. Emphasis is on open systems driven away from equilibrium where the entropy production can be identified ... More
Towards the Classification of Exactly Solvable Feynman Path Integrals: $δ$-Function Perturbations and Boundary-Problems as Miscellaneous Solvable ModelsAug 17 1993Invited talk given at the ``International Workshop on `Symmetry Methods in Physics' in memory of Ya.\ A.\ Smorodinsky, 5--10 July 1993, Dubna, Russia; to appear in the proceedings. In this contribution I present further results on steps towards a Table ... More
Many-body theory of degenerate systemsSep 24 2003Dec 09 2003The many-body theory of degenerate systems is described in detail. More generally, this theory applies to systems with an initial state that cannot be described by a single Slater determinant. The double-source (or closed-time-path) formalism of nonequilibrium ... More
Boundary conditions for augmented plane wave methodsMar 21 2005The augmented plane wave method uses the Rayleigh-Ritz principle for basis functions that are continuous but with discontinuous derivatives and the kinetic energy is written as a pair of gradients rather than as a Laplacian. It is shown here that this ... More
QED in the worldline representationMar 21 2007Apr 14 2007Simultaneously with inventing the modern relativistic formalism of quantum electrodynamics, Feynman presented also a first-quantized representation of QED in terms of worldline path integrals. Although this alternative formulation has been studied over ... More
Axial Vector Amplitudes, Second Order Fermions, and Standard Model Photon -- Neutrino ProcessesMay 27 1999We present an extension of the string-inspired technique suitable to the calculation of amplitudes and effective Lagrangians involving both vector and axial vector gauge fields. The technique is easily adaptable to problems involving constant external ... More
The Structure of the Bern-Kosower Integrand for the N-Gluon AmplitudeOct 08 1997An ambiguity inherent in the partial integration procedure leading to the Bern-Kosower rules is fixed in a way which preserves the complete permutation symmetry in the scattering states. This leads to a canonical version of the Bern-Kosower representation ... More
On the notion of 'retractable modules' in the context of algebrasMay 01 2014This is a survey on the usage of the module theoretic notion of a "retractable module" in the study of algebras with actions. We explain how classical results can be interpreted using module theory and end the paper with some open questions.
Detector Optimization Studies and Light Higgs Decay into Muons at CLICFeb 12 2014The Compact Linear Collider (CLIC) is a concept for a future $e^{+}e^{-}$ linear collider with a center-of-mass energy of up to 3 TeV. The design of a CLIC experiment is driven by the requirements related to the physics goals, as well as by the experimental ... More
The Impact of Rotation on Cluster DynamicsFeb 23 2000The evolution of rotating, isolated clusters of stars up to core-collapse is investigated with n-body numerical codes. The simulations start off from axisymmetric generalisations of King profiles, with added global angular momentum. In this contribution ... More
The Reeh-Schlieder property for thermal field theoriesApr 07 1999May 05 2004We show that the Reeh-Schlieder property w.r.t. the KMS-vector is a direct consequence of locality, additivity and the relativistic KMS-condition. The latter characterises the thermal equilibrium states of a relativistic quantum field theory. The statement ... More
Cones over metric measure spaces and the maximal diameter theoremNov 06 2013Oct 08 2014The main result of this article states that the (K;N)-cone over some metric measure space satisfies the reduced Riemannian curvature-dimension condition RCD^*(KN;N+1) if and only if the underlying space satisfies RCD^*(N-1;N). The proof uses a characterization ... More
Top quark couplings at ILC: six and eight fermion final statesDec 02 2004Jan 07 2005I discuss the calculation of cross sections for processes with six and eight fermions in the final state, contributing to single-top production and associated top-Higgs production at a linear collider. I describe the schemes for the treatment of finite ... More
Hybrid anomaly-gravity mediation with flavorFeb 14 2011We study models with contributions of similar size to the soft masses from anomaly- and gravity mediation, thereby curing the tachyonic slepton problem of anomaly mediation. A possible origin of this hybrid setup in a 5-dimensional brane world is briefly ... More
Tuning the stochastic background of gravitational waves using the WMAP dataDec 25 2011The cosmological bound of the stochastic background of gravitational waves is analyzed with the aid of the WMAP data, differently from lots of works in literature, where the old COBE data were used. From our analysis, it will result that the WMAP bounds ... More
On the correctness of Relative Time Dilatation in Special Relativity in vacuum: a rebuttal against the claims by Arthur Boltcho in European Journal of Scientific Research ISSN 1450-216X Vol. 44 No. 4 (2010), pp. 610-611Dec 22 2010In his recent paper published in the European Journal of Scientific Research 44, 4, 610-611 (2010), the author, Arthur Boltcho, claims to have found a mathematical disproof of relative time dilatation of Special Relativity Theory (SRT). In this letter ... More
The importance of the ''magnetic'' components of gravitational waves in the response functions of interferometersFeb 14 2007Feb 23 2007With an enlighting analysis, Baskaran and Grishchuk have recently shown the presence and importance of the so-called ``magnetic'' components of gravitational waves (GWs), which have to be taken into account in the context of the total response functions ... More
Gravitational waves astronomy: the ultimate test for Einstein's General RelativityApr 08 2010It is well known that Einstein's General Relativity (GR) achieved a great success and overcame lots of experimental tests. On the other hand, GR also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory ... More
Primordial production of massive relic gravitational waves from a weak modification of General RelativityDec 02 2008The production of a stochastic background of relic gravitational waves is well known in various works in the literature, where, using the so called adiabatically-amplified zero-point fluctuations process it has been shown how the standard inflationary ... More
An oscillating, homogeneous and isotropic Universe from Scalar-Tensor gravityAug 26 2008An oscillating, homogeneous and isotropic Universe which arises from Scalar-Tensor gravity is discussed in the linearized approach, showing that some observative evidences like the Hubble Law and the Cosmological Redshift are in agreement with the model. ... More
"Magnetic" components of gravitational waves and response functions of interferometersJun 17 2008Recently, arising from an enlighting analysis of Baskaran and Grishchuk in Class. Quant. Grav. 21, 4041-4061 (2004), some papers in the literature have shown the presence and importance of the so-called "magnetic" components of gravitational waves (GWs), ... More
Moriond 07 proceedings:"Extension of the frequency-range of interferometers for the "magnetic" components of gravitational waves?"Jun 22 2007Recently some papers in the literature have shown the presence and importance of the so-called {}"magnetic" components of gravitational waves (GWs), which have to be taken into account in the context of the total response functions of interferometers ... More
The Ligo-Ligo cross correlation for the detection of relic scalar gravitational wavesNov 10 2006Feb 09 2012In the earlier work arXiv:0706.3782 we studied the cross correlation between the Virgo interferometer and the MiniGRAIL resonant sphere for the detection of relic scalar gravitational waves (SGWs). We have shown that the overlap reduction function for ... More
From a Competition for Self-Driving Miniature Cars to a Standardized Experimental Platform: Concept, Models, Architecture, and EvaluationJun 30 2014Context: Competitions for self-driving cars facilitated the development and research in the domain of autonomous vehicles towards potential solutions for the future mobility. Objective: Miniature vehicles can bridge the gap between simulation-based evaluations ... More
From global class field concepts and modular representations to the conjectures of Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and RiemannAug 03 2006Based upon new global class field concepts leading to Langlands two-dimensional global correspondences,a modular representation of cusp forms is proposed in terms of global elliptic (bisemi)modules which are (truncated) Fourier series over R.As application,the ... More
Brane and string field structure of elementary particlesJul 27 2006The two quantizations of QFT,as well as the attempt of unifying it with general relativity,lead us to consider that the internal structure of an elementary fermion must be twofold and composed of three embedded internal (bi)structures which are vacuum ... More
n-Dimensional global correspondences of Langlands over singular schemes (II)Jun 14 2006A rather complete phenomenology of the singularities is developed according to a new algebraic point of view in the frame of Langlands global correspondences. That is to say,a process of: -singularizations and versal deformations of these, -singularizations ... More
A new track for unifying general relativity with quantum field theoriesOct 19 2005In the perspective of unifying quantum field theories with general relativity,the equations of the internal dynamics of the vacuum and mass structures of a set of interacting particles are proved to be in one-to-one correspondence with the equations of ... More
The time at the subplanckian scaleJan 22 2007With the theory of special relativity, time has been linked with space into a four-dimensional space-time from which a basic question must be asked: can space be really transformed into time and vice-versa? The response is affirmative if time has the ... More
n-Dimensional global correspondences of LanglandsOct 17 2005Nov 17 2009the program of Langlands is studied here on the basis of: a)new concepts of global class field theory related to the explicit construction of global class fields and of reciprocity laws; b)the representations of the reductive algebraic groups GL(n) constituting ... More
Collimation of astrophysical jets - the role of the accretion disk magnetic field distributionNov 21 2005Jul 25 2006We have applied axisymmetric MHD simulations to investigate the impact of the accretion disk magnetic flux profile on the jet collimation. Using the ZEUS-3D code modified for magnetic diffusivity, our simulations evolve from an initial hydrostatic equilibrium ... More
Non-dissipative effects in nonequilibrium systemsMar 16 2016Time-symmetric kinetic quantities constitute the non-dissipative part of nonequilibrium physics. That frenetic contribution counts among features of nonequilibrium that have traditionally not been much included in statistical mechanics. Yet it is crucial ... More
A recollection of Souriau's derivation of the Weyl equation via geometric quantizationFeb 02 2016These notes merely intend to memorialize Souriau's overlooked achievements regarding geo\-metric quantization of Poincar\'e-elementary symplectic systems. Restricting attention to his model of massless, spin-$\half$, particles, we faithfully rephrase ... More
Testing axion physics in a Josephson junction environmentOct 26 2011Nov 17 2011We suggest that experiments based on Josephson junctions, SQUIDS, and coupled Josephson qubits can be used to construct a resonant environment for dark matter axions. We propose experimental setups in which axionic interaction strengths in a Josephson ... More
Generalized statistical mechanics of cosmic raysJan 20 2003We consider a generalized statistical mechanics model for the creation process of cosmic rays which takes into account local temperature fluctuations. This model yields Tsallis statistics for the cosmic ray spectrum. It predicts an entropic index q given ... More
Spatio-temporal Chaos and Vacuum Fluctuations of Quantized FieldsJul 09 2002We consider deterministic chaotic models of vacuum fluctuations on a small (quantum gravity) scale. As a suitable small-scale dynamics, nonlinear versions of strings, so-called `chaotic strings' are introduced. These can be used to provide the `noise' ... More
Nonextensive methods in turbulence and particle physicsOct 03 2001We describe some recent applications of Tsallis statistics in fully developed hydrodynamic turbulence and high energy physics. For many of these applications nonextensive properties arise from spatial fluctuations of the temperature or the energy dissipation ... More
Non-additivity of Tsallis entropies and fluctuations of temperatureMay 18 2001We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that there is a ... More
Axion physics in a Josephson junction environmentAug 12 2010Nov 23 2011We show that recent experiments based on Josephson junctions, SQUIDS, and coupled Josephson qubits have a cosmological interpretation in terms of axionic dark matter physics, in the sense that they allow for analogue simulation of early-universe axion ... More
Superstatistics in hydrodynamic turbulenceMar 15 2003Superstatistics is a `statistics of a statistics' relevant for driven nonequilibrium systems with fluctuating intensive parameters. It contains Tsallis statistics as a special case. We show that the probability density functions of velocity differences ... More
Chaotic strings and standard model parametersMay 16 2001We introduce so-called chaotic strings (coupled 1-dimensional noise strings underlying the Parisi-Wu approach of stochastic quantization on a small scale) as a possible amendment of ordinary string theories. These strings are strongly self-interacting ... More
Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulenceMay 24 2000We apply non-extensive methods to the statistical analysis of fully developed turbulent flows. Probability density functions of velocity differences at distance r obtained by extremizing the Tsallis entropies coincide well with what is measured in turbulence ... More
QCD Thermodynamics with Almost Realistic Quark MassesJun 29 2006Ongoing calculations on the QCDOC supercomputer at Brookhaven National Laboratory and the APEnext installation at the University of Bielefeld aim to determine the critical temperature of the QCD phase transition as well as the equation of state with almost ... More
Universal critical behavior and the transition temperature in (2+1)-flavor QCDDec 10 2010We discuss the universal critical behavior in (2+1)-flavor QCD by analyzing lattice data from improved staggered fermions generated by the HotQCD Collaboration. We present recent results from two different lattice discretizations and various lattice spacings ... More
From the Schrödinger problem to the Monge-Kantorovich problemNov 11 2010The aim of this article is to show that the Monge-Kantorovich problem is the limit of a sequence of entropy minimization problems when a fluctuation parameter tends down to zero. We prove the convergence of the entropic values to the optimal transport ... More
Cyclic cohomology and Baaj-Skandalis dualityJul 10 2013We construct a duality isomorphism in equivariant periodic cyclic homology analogous to Baaj-Skandalis duality in equivariant Kasparov theory. As a consequence we obtain general versions of the Green-Julg theorem and the dual Green-Julg theorem in periodic ... More
The Picard Rank of an Enriques SurfaceJun 06 2016Aug 05 2016In this note, we use crystalline methods and the Tate-conjecture to give a short proof that the Picard rank of an Enriques surface is equal to its second Betti number.
Radar orthogonality and radar length in Finsler and metric spacetime geometryAug 22 2014Oct 07 2014The radar experiment connects the geometry of spacetime with an observers measurement of spatial length. We investigate the radar experiment on Finsler spacetimes which leads to a general definition of radar orthogonality and radar length. The directions ... More
Finitely approximable groups and actions Part I: The Ribes--Zalesski\uı propertyNov 08 2007Apr 17 2011We investigate extensions of S. Solecki's theorem on closing off finite partial isometries of metric spaces \cite{solecki1} and obtain the following exact equivalence: any action of a discrete group $\Gamma$ by isometries of a metric space is finitely ... More
On the complexity of equational decision problems for finite height(ortho)complemented modular latticesNov 19 2018Feb 20 2019We study the computational complexity of satisfiability problems for classes of simple finite height (ortho)complemented modular lattices $L$. For single finite $L$, these problems are shown tobe $\mc{NP}$-complete; for $L$ of height at least $3$, equivalent ... More
A topos-theoretic proof of Shelah's eventual categoricity conjecture for abstract elementary classesJun 21 2019Assuming $GCH$ and that there is a measurable cardinal, we give a topos-theoretic proof of Shelah's eventual categoricity conjecture for abstract elementary classes (AEC's). We also show that the large cardinal assumption can be spared assuming instead ... More
Entropy in Quantum Information Theory -- Communication and CryptographyOct 24 2018In this Thesis, several results in quantum information theory are collected, most of which use entropy as the main mathematical tool. *While a direct generalization of the Shannon entropy to density matrices, the von Neumann entropy behaves differently. ... More