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Synscapes: A Photorealistic Synthetic Dataset for Street Scene ParsingOct 19 2018We introduce Synscapes -- a synthetic dataset for street scene parsing created using photorealistic rendering techniques, and show state-of-the-art results for training and validation as well as new types of analysis. We study the behavior of networks ... More

Signatures of hermitian forms and the Knebusch Trace FormulaMar 04 2010Mar 13 2018Signatures of quadratic forms have been generalized to hermitian forms over algebras with involution. In the literature this is done via Morita theory, which causes sign ambiguities in certain cases. In this paper, a hermitian version of the Knebusch ... More

Signatures, sums of hermitian squares and positive cones on algebras with involutionJun 05 2017Apr 18 2018We provide a coherent picture of our efforts thus far in extending real algebra and its links to the theory of quadratic forms over ordered fields in the noncommutative direction, using hermitian forms and "ordered" algebras with involution.

Space-time block codes from nonassociative division algebrasJun 11 2010Jun 09 2011Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse $2\times ... More

Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methodsJul 09 2019In this paper the discrete eigenvalues of elliptic second order differential operators in $L^2(\mathbb{R}^n)$, $n \in \mathbb{N}$, with singular $\delta$- and $\delta'$-interactions are studied. We show the self-adjointness of these operators and derive ... More

Galois extensions, positive involutions and an application to unitary space-time codingSep 24 2018Oct 12 2018We show that under certain conditions every maximal symmetric subfield of a central division algebra with positive unitary involution $(B,\tau)$ will be a Galois extension of the fixed field of $\tau$ and will "real split" $(B,\tau)$. As an application ... 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

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

Single-frame Regularization for Temporally Stable CNNsFeb 27 2019Jun 08 2019Convolutional neural networks (CNNs) can model complicated non-linear relations between images. However, they are notoriously sensitive to small changes in the input. Most CNNs trained to describe image-to-image mappings generate temporally unstable results ... More

Video as a By-Product of Digital Prototyping: Capturing the Dynamic Aspect of InteractionAug 01 2017Requirements engineering provides several practices to analyze how a user wants to interact with a future software. Mockups, prototypes, and scenarios are suitable to understand usability issues and user requirements early. Nevertheless, users are often ... More

Refraction of shear zones in granular materialsOct 03 2006Jan 08 2007We study strain localization in slow shear flow focusing on layered granular materials. A heretofore unknown effect is presented here. We show that shear zones are refracted at material interfaces in analogy with refraction of light beams in optics. This ... More

Collective rheology in quasi static shear flow of granular mediaSep 20 2010This paper is devoted to the basic question of what factors determine the strain field in a quasi static granular flow. It is shown that using stress - strain rate relations is not the proper way to understand quasi static rheology. An alternative approach ... More

Highlights from the Pierre Auger Observatory (ICRC17)Oct 25 2017In this contribution we summarize the highlights from the Pierre Auger Observatory presented at the 35th International Cosmic Ray Conference. We discuss the update of the measurement of the energy spectrum of cosmic rays over a wide range of energy ($10^{17.5}$ ... More

Progress towards characterizing ultrahigh energy cosmic ray sourcesJun 14 2019We use a multimessenger approach to constrain realistic mixed composition models of ultrahigh energy cosmic ray sources using the latest cosmic ray, neutrino, and gamma-ray data. We build on the successful Unger-Farrar-Anchordoqui 2015 (UFA15) model which ... More

Combinatorics of Lattice QCD at Strong CouplingNov 17 2014Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered and Wilson fermions ... More

Successive failures of approachabilityFeb 16 2017Jun 11 2018Motivated by showing that in ZFC we cannot construct a special Aronszajn tree on some cardinal greater than $\aleph_1$, we produce a model in which the approachability property fails (hence there are no special Aronszajn trees) at all regular cardinals ... More

Strong Parallel Repetition Theorem for Quantum XOR Proof SystemsAug 18 2006Apr 11 2008We consider a class of two-prover interactive proof systems where each prover returns a single bit to the verifier and the verifier's verdict is a function of the XOR of the two bits received. We show that, when the provers are allowed to coordinate their ... More

Noise threshold for universality of 2-input gatesNov 02 2007Sep 06 2008Evans and Pippenger showed in 1998 that noisy gates with 2 inputs are universal for arbitrary computation (i.e. can compute any function with bounded error), if all gates fail independently with probability epsilon and epsilon<theta, where theta is roughly ... More

Cosmic Rays above the KneeDec 15 2008An overview on the present observational status and phenomenological understanding of cosmic rays above 10^16 eV is given. Above these energies the cosmic ray flux is expected to be gradually dominated by an extra-galactic component. In order to investigate ... More

Discontinuity propagation in delay differential-algebraic equationsMar 12 2018The propagation of primary discontinuities in initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Based on the (quasi-) Weierstra{\ss} form for regular matrix pencil, a complete characterization of the different ... 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

Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger modelFeb 26 2016Jul 05 2016We follow up on a suggestion by Adams and construct explicit domain wall fermion operators with staggered kernels. We compare different domain wall formulations, namely the standard construction as well as Borici's modified and Chiu's optimal construction, ... More

Friction force: from mechanics to thermodynamicsNov 17 2009Jul 01 2010We study some mechanical problems in which a friction force is acting on the system. Using the fundamental concepts of state, time evolution and energy conservation we explain how to extend Newtonian mechanics to thermodynamics. We arrive at the two laws ... More

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

On spatial and temporal multilevel dynamics and scaling effects in epileptic seizuresMar 30 2011Jul 29 2011Epileptic seizures are one of the most well-known dysfunctions of the nervous system. During a seizure, a highly synchronized behavior of neural activity is observed that can cause symptoms ranging from mild sensual malfunctions to the complete loss of ... More

Duck Traps: Two-dimensional Critical Manifolds in Planar SystemsAug 30 2018Nov 05 2018In this work we consider two-dimensional critical manifolds in planar fast-slow systems near fold and so-called canard (=`duck') points. These higher-dimension, and lower-codimension, situation is directly motivated by the case of hysteresis operators ... More

Differential Characters and Geometric ChainsMar 26 2013Apr 09 2013We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology (up to unique natural transformation) is proved by deriving an explicit ... 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

Moments of Heavy Quark Current Correlators at Four-Loop Order in Perturbative QCDMay 21 2008We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can be used to ... More

Improving the precision of light quark mass determinationsOct 19 2009We discuss the concepts and the framework of the renormalization procedure in regularization-invariant momentum subtraction schemes. These schemes are used in the context of lattice simulations for the determination of physical quantities like light quark ... More

Finsler SpinopticsJul 02 2007Apr 15 2008The objective of this article is to build up a general theory of geometrical optics for spinning light rays in an inhomogeneous and anisotropic medium modeled on a Finsler manifold. The prerequisites of local Finsler geometry are reviewed together with ... More

Constraints on W Prime Models for the ttbar AsymmetryNov 28 2011We discuss if the Tevatron ttbar asymmetry can be explained by T-channel exchange of a W' gauge boson coupling to down and top quarks. In a spontaneously broken gauge theory, such a W' is necessarily accompanied by a Z' at a similar mass scale. Null results ... 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

Well-posedness of first order semilinear PDEs by stochastic perturbationOct 28 2013We show that first order semilinear PDEs by stochastic perturbation are well-posedness for globally Holder continuous and bounded vector field, with an integrability condition on the divergence. This result extends the liner case presented in [2]. The ... More

Independent Bond Fluctuation Approximation to the Ground State of Quantum AntiferromagnetsApr 14 2010Aug 24 2013A simple approach to estimation of the ground state energy of quantum antiferromagnets is developed, based on the approximation that quantum fluctuations around different bonds are independent. The ground state energy estimates are as good as spin wave ... More

Einstein and Besso: from Zürich to MilanoDec 22 2014The 1896-1901 Milanese period is a key one to understand Einstein's training background. When he was a student at the ETH in Z\"urich (the Swiss Federal Polytechnic in Z\"urich) from 1896 to 1900, he would make regular trips back to Milan to stay with ... More

Putnam looks at quantum mechanics (again and again)Jun 22 2014Hilary Putnam (1965, 2005) has argued that from a realist perspective, quantum mechanics stands in need of an interpretation. Ironically, this hypothesis may appear vulnerable against arguments drawing on Putnam's own work. Nancy Cartwright (2005) has ... 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

Symbolic Music Data Version 1.0Jun 08 2016In this document, we introduce a new dataset designed for training machine learning models of symbolic music data. Five datasets are provided, one of which is from a newly collected corpus of 20K midi files. We describe our preprocessing and cleaning ... More

What decides the direction of a current?May 04 2016Nonequilibria show currents that are maintained as the result of a steady driving. We ask here what decides their direction. It is not only the second law, or the positivity of the entropy production that decides; also non-dissipative aspects often matter ... More

On circular flows: linear stability and dampingMay 19 2016In this article we establish linear inviscid damping with optimal decay rates around 2D Taylor-Couette flow and similar monotone flows in an annular domain $B_{r_{2}}(0) \setminus B_{r_{1}}(0) \subset \mathbb{R}^{2}$. Following recent results by Wei, ... More

Bürgi's "Kunstweg" - geometric approachFeb 25 2016Placing regular 4n-sided polygons correctly, equations between sine and sums of sines show up -- exactly these equations are used in B\"urgi's method to approximate sines.

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

On parametric families for sampling binary data with specified mean and correlationNov 02 2011Apr 06 2012We discuss a class of binary parametric families with conditional probabilities taking the form of generalized linear models and show that this approach allows to model high-dimensional random binary vectors with arbitrary mean and correlation. We derive ... More

Particle algorithms for optimization on binary spacesNov 02 2011Apr 06 2012We discuss a unified approach to stochastic optimization of pseudo-Boolean objective functions based on particle methods, including the cross-entropy method and simulated annealing as special cases. We point out the need for auxiliary sampling distributions, ... 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

Local Causality in a Friedmann-Robertson-Walker SpacetimeApr 17 2014Jan 17 2019In the context of EPR-Bohm experiments and spin detections confined to spacelike hypersurfaces, a local, deterministic, and realistic model within a Friedmann-Robertson-Walker spacetime with constant spatial curvature (S^3) is presented which describes ... More

Failure of Bell's Theorem and the Local Causality of the Entangled PhotonsMay 26 2010Jul 08 2010A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and Bob, which allows them to simulate observing photon polarizations ... 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

Local Type III metrics with holonomy in $\mathrm{G}_2^*$Oct 22 2018Fino and Kath determined all possible holonomy groups of seven-dimensional pseudo-Riemannian manifolds contained in the exceptional, non-compact, simple Lie group $\mathrm{G}_2^*$ via the corresponding Lie algebras. They are distinguished by the dimension ... More