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Rethinking Person Re-Identification with ConfidenceJun 11 2019A common challenge in person re-identification systems is to differentiate people with very similar appearances. The current learning frameworks based on cross-entropy minimization are not suited for this challenge. To tackle this issue, we propose to ... More

Valley currents and non-local resistances of graphene nanostructures with broken inversion symmetry from the perspective of scattering theorySep 23 2015Valley currents and non-local resistances of graphene nanostructures with broken inversion symmetry are considered theoretically in the linear response regime. Scattering state wave functions of electrons entering the nanostructure from the contacts represented ... More

Ideal Spin Filters: Theoretical Study of Electron Transmission Through Ordered and Disordered Interfaces Between Ferromagnetic Metals and SemiconductorsOct 11 2000It is predicted that certain atomically ordered interfaces between some ferromagnetic metals (F) and semiconductors (S) should act as ideal spin filters that transmit electrons only from the majority spin bands or only from the minority spin bands of ... More

Why Are Large Persistent Currents Observed in Small Gold Rings?Jan 13 1995It is demonstrated using three-dimensional computer simulations that some simple non-interacting electron models that include electron scattering by grain boundaries, exhibit coexistence of large persistent currents and small conductances, similar to ... More

Sentient NetworksDec 13 1997In this paper we consider the question whether a distributed network of sensors and data processors can form "perceptions" based on the sensory data. Because sensory data can have exponentially many explanations, the use of a central data processor to ... More

Quantum Mechanics as Information FusionDec 04 1999We provide evidence that quantum mechanics can be interpreted as a rational algorithm for finding the least complex description for the correlations in the outputs of sensors in a large array. In particular, by comparing the self-organization approach ... More

A Natural Cosmological Model with Omega_matter <1Feb 12 1999Flat cosmological models with a cosmological constant on the order of the Einstein-de Sitter critical density are enigmatic in the sense that there does not appear to be any natural explanation for why there should be a cosmological constant with such ... More

The Black Hole Information Puzzle and Evidence for a Cosmological ConstantJul 22 1998Recent hints from observations of distant supernovae of a positive cosmological constant with magnitude comparable to the average density of matter seem to point in the direction of a two fluid model for spacetime; where the "normal" component consists ... More

The Monster Sporadic Group and a Theory Underlying Superstring ModelsSep 18 1996The pattern of duality symmetries acting on the states of compactified superstring models reinforces an earlier suggestion that the Monster sporadic group is a hidden symmetry for superstring models. This in turn points to a supersymmetric theory of self-dual ... More

Change Detection with Compressive MeasurementsApr 11 2014Quickest change point detection is concerned with the detection of statistical change(s) in sequences while minimizing the detection delay subject to false alarm constraints. In this paper, the problem of change point detection is studied when the decision ... More

Discussion of "Estimating the historical and future probabilities of large terrorist events" by Aaron Clauset and Ryan WoodardJan 10 2014Discussion of "Estimating the historical and future probabilities of large terrorist events" by Aaron Clauset and Ryan Woodard [arXiv:1209.0089].

Modeling and estimation of multi-source clustering in crime and security dataNov 28 2013While the presence of clustering in crime and security event data is well established, the mechanism(s) by which clustering arises is not fully understood. Both contagion models and history independent correlation models are applied, but not simultaneously. ... More

Three-Dimensional Reddening Map for Stars from 2MASS Photometry: The Method and the First ResultsJul 02 2016The first results of the construction of a 3D reddening map for stars within 1600 pc of the Sun are presented. Analysis of the distribution of 70 million stars from the 2MASS catalog with the most accurate photometry on the (J-Ks) - Ks diagram supplemented ... More

Four Weak Gauge Boson Production at Photon Linear Collider and Heavy Higgs SignalJul 28 1994We study the signals and backgrounds for a heavy Higgs boson in the processes $\gamma\gamma\to WWWW$, $\gamma\gamma\to WWZZ$ at the photon linear collider. The results are based on the complete tree level SM calculation for these reactions. We show that ... More

Spatial Variations of the Extinction Law in the Galactic Disk from Infrared ObservationsJun 28 2016Infrared photometry in the J (1.2 microns), H (1.7 microns), Ks (2.2 microns) bands from the 2MASS catalogue and in the W1 (3.4 microns), W2 (4.6 microns), W3 (12 microns), W4 (22 microns) bands from the WISE catalogue is used to reveal the spatial variations ... More

The classical pion field in a nucleusNov 08 2007Sep 04 2008A self-consistent symmetry arises when the nucleon angular momentum j and the isospin t are coupled to a grand spin G. Closed G shells become sources of a classical pion field with a hedgehog shape. Although the amplitude of the pion field, as measured ... More

Doubles melanges des polylogarithmes multiples aux racines de l'unit'eFeb 15 2002The values at positive integers of the polyzeta functions are solutions of the polynomial equations arising from Drinfeld's associators, which have numerous applications in quantum algebra. Considered as iterated integrals they become periods of the motivic ... More

A Person Re-Identification System For Mobile DevicesDec 13 2015Person re-identification is a critical security task for recognizing a person across spatially disjoint sensors. Previous work can be computationally intensive and is mainly based on low-level cues extracted from RGB data and implemented on a PC for a ... More

Verso folio: Diversified Ranking for Large Graphs with Context-Aware ConsiderationsJul 25 2016This work is pertaining to the diversified ranking of web-resources and interconnected documents that rely on a network-like structure, e.g. web-pages. A practical example of this would be a query for the k most relevant web-pages that are also in the ... More

Connections Between Symmetries and Conservation LawsNov 09 2005This paper presents recent work on connections between symmetries and conservation laws. After reviewing Noether's theorem and its limitations, we present the Direct Construction Method to show how to find directly the conservation laws for any given ... More

Mass Determinations of Star ClustersJul 03 2001Mass determinations are difficult to obtain and still frequently characterised by deceptively large uncertainties. We review below the various mass estimators used for star clusters of all ages and luminosities. We highlight a few recent results related ... More

Mirror mesons at the Large Hadron Collider (LHC)Jun 23 2016The existence of mirror partners of Standard-Model fermions offers a viable alternative to a fundamental BEH mechanism, with the coupling corresponding to the gauged mirror generation symmetry becoming naturally strong at energies around 1 TeV. The resulting ... More

A Bayesian Nonparametric IRT ModelFeb 11 2015This paper introduces a flexible Bayesian nonparametric Item Response Theory (IRT) model, which applies to dichotomous or polytomous item responses, and which can apply to either unidimensional or multidimensional scaling. This is an infinite-mixture ... More

Variations of the Interstellar Extinction Law within the Nearest KiloparsecJun 30 2016Multicolor photometry from the Tycho-2 and 2MASS catalogues for 11 990 OB and 30 671 K-type red giant branch stars is used to detect systematic large-scale variations of the interstellar extinction law within the nearest kiloparsec. The characteristic ... More

Some Properties of Dust Outside the Galactic DiskJun 28 2016The joint use of accurate near- and mid-infrared photometry from the 2MASS and WISE catalogues has allowed the variations of the extinction law and the dust grain size distribution in high Galactic latitudes (|b|>50) at distances up to 3 kpc from the ... More

Influence of the Gould Belt on Interstellar ExtinctionJun 30 2016A new analytical 3D model of interstellar extinction within 500 pc of the Sun as a function of the Galactic spherical coordinates is suggested. This model is physically more justified than the widely used Arenou model, since it takes into account the ... More

On the maximal operators of Walsh-Kaczmarz-Fejér meansOct 05 2014The main aim of this paper is to prove that the maximal operator $\sigma_{p}^{\kappa ,\ast }f:=\sup_{n\in \mathbf{P}}\left\vert \sigma_{n}^{\kappa }f\right\vert /\left( n+1\right) ^{1/p-2}$ is bounded from the Hardy space $% H_{p}$ to the space $L_{p},$ ... More

Travelling waves in the expanding spatially homogeneous space-timesNov 11 2014Some classes of the so called "travelling wave" solutions of Einstein and Einstein - Maxwell equations in General Relativity and of dynamical equations for massless bosonic fields in string gravity in four and higher dimensions are presented. Similarly ... More

Projective Connections and the Algebra of DensitiesAug 20 2008Projective connections first appeared in Cartan's papers in the 1920's. Since then they have resurfaced periodically in, for example, integrable systems and perhaps most recently in the context of so called projectively equivariant quantisation. We recall ... More

Black Holes and Sphalerons in Low Energy Effective String TheoryOct 25 1994Talk given at the 7th Marcel Grossmann Meeting on General Relativity, Stanford University, July 24-30, 1994.

New half supersymmetric solutions of the heterotic stringSep 07 2008May 26 2009We describe all supersymmetric solutions of the heterotic string which preserve 8 supersymmetries and show that are distinguished by the holonomy, ${\rm hol}(\hat\nabla)$, of the connection, $\hat\nabla$, with skew-symmetric torsion. The ${\rm hol}(\hat\nabla) ... More

Resonant capture of multiple planet systems under dissipation and stable orbital configurationsApr 12 2016Migration of planetary systems caused by the action of dissipative forces may lead the planets to be trapped in a resonance. In this work we study the conditions and the dynamics of such resonant trapping. Particularly, we are interested in finding out ... More

Quenched Chiral Perturbation Theory for Heavy BaryonsApr 28 1997Heavy baryon chiral perturbation theory is extended to include the effects of quenching. In this framework the leading nonanalytic dependence of the heavy baryon masses on the light quark masses is studied. The size of quenching effects is estimated by ... More

Genus theory and $ε$-conjectures on p-class groupsMar 07 2019Mar 21 2019We suspect that the "genus part" of the class number of a number field K may be an obstruction for an "easy proof" of the classical $\epsilon$-conjecture for p-class groups and, a fortiori, for a proof of the "strong $\epsilon$-conjecture": \#Cl\_K <<\_(d,p,$\epsilon$) ... More

Automorphisms of an orthomodular poset of projectionsNov 29 2002Oct 07 2003By using a lattice characterization of continuous projections defined on a topological vector space E arising from a dual pair, we determine the automorphism group of their orthomodular poset Proj(E) by means of automorphisms and anti-automorphisms of ... More

Spatial Variations of the Interstellar Polarization and Interstellar ExtinctionJul 24 2017For more than 5000 stars with accurate parallaxes from the Hipparcos and Gaia DR1 Tycho-Gaia astrometric solution (TGAS), Tycho-2 photometry, interstellar polarization from eight catalogues and interstellar extinction from eight 3D maps the largest up ... More

Congruences in slim, planar, semimodular lattices: The Swing LemmaDec 30 2014Apr 24 2015In an earlier paper, to describe how a congruence spreads from a prime interval to another in a finite lattice, I introduced the concept of prime-perspectivity and its transitive extension, prime-projectivity and proved the Prime-projectivity Lemma. In ... More

Congruences of the fork extensions. I. The Congruence Extension PropertyJul 02 2013Sep 08 2013For a slim, planar, semimodular lattice, G. Cz\'edli and E.\,T. Schmidt introduced the fork extension in 2012. In this note we prove that the fork extension has the Congruence Extension Property. This paper has been merged with Part II, under the title ... More

Cryptocurrencies, Mainstream Asset Classes and Risk Factors - A Study of ConnectednessSep 10 2018We investigate connectedness within and across two major groups or assets: i) five popular cryptocurrencies, and ii) six major asset classes plus two commonly employed risk factors. Granger-causality tests uncover six direct channels of causality from ... More

Quantization of maximally-charged slowly-moving black holesSep 15 2000Jan 11 2001We discuss the quantization of a system of slowly-moving extreme Reissner-Nordstrom black holes. In the near-horizon limit, this system has been shown to possess an SL(2,R) conformal symmetry. However, the Hamiltonian appears to have no well-defined ground ... More

Canonical quantization of a particle near a black holeJun 12 2000We discuss the quantization of a particle near an extreme Reissner-Nordstrom black hole in the canonical formalism. This model appears to be described by a Hamiltonian with no well-defined ground state. This problem can be circumvented by a redefinition ... More

A counterexample to a question of Haydon, Odell and RosenthalOct 14 1996We give an example of a compact metric space $K$, an open dense subset $U$ of $K$, and a sequence $(f_n)$ in $C(K)$ which is pointwise convergent to a non-continuous function on $K$, such that for every $u \in U$ there exists $n \in \N$ with $f_n(u)=f_m(u)$ ... More

Remark on non-Noether symmetries and bidifferential calculiMay 25 2001Jun 20 2001In the past few years both non-Noether symmetries and bidifferential calculi has been successfully used in generating conservation laws and both lead to the similar families of conserved quantities.Here relationship between Lutzky's integrals of motion ... More

Performance evaluation of a production line operated under an echelon buffer policyMar 09 2019We consider a production line consisting of several machines in series separated by intermediate finite-capacity buffers. The line operates under an "echelon buffer" (EB) policy according to which each machine can store the parts that it produces in any ... More

Enumerating quasi-Yamanouchi tableaux of Durfee size twoOct 13 2016Feb 20 2018Quasi-Yamanouchi tableaux connect the two most studied types of tableaux. They are a subset of semistandard Young tableaux that are also a refinement on standard Young tableaux, and they can be used to improve the fundamental quasisymmetric expansion ... More

Non-Noether symmetries in integrable modelsJul 09 2003Aug 13 2003In the present paper the non-Noether symmetries of the Toda model, nonlinear Schodinger equation and Korteweg-de Vries equations (KdV and mKdV) are discussed. It appears that these symmetries yield the complete sets of conservation laws in involution ... More

Nondifferentiable functions of one-dimensional semimartingalesFeb 04 2008Jan 26 2010We consider decompositions of processes of the form $Y=f(t,X_t)$ where $X$ is a semimartingale. The function $f$ is not required to be differentiable, so It\^{o}'s lemma does not apply. In the case where $f(t,x)$ is independent of $t$, it is shown that ... More

Local theta-regulators of an algebraic number -- p-adic ConjecturesJan 10 2017Let K/Q be Galois and let eta in K* be such that the multiplicative Z[G]-module generated by eta is of Z-rank n.We define the local theta-regulators Delta\_p^theta(eta) in F\_p for the Q\_p-irreducible characters theta of G=Gal(K/Q). Let V\_theta be the ... More

Quillen's adjunction theorem for derived functors, revisitedNov 30 2006The aim of this paper is to present a very simple original, purely formal, proof of Quillen's adjunction theorem for derived functors, and of some more recent variations and generalizations of this theorem. This is obtained by proving an abstract adjunction ... More

On The maximal operators of Vilenkin-Fejér means on Hardy spacesOct 05 2014The main aim of this paper is to prove that when $0<p<1/2$ the maximal operator $\overset{\sim }{\sigma }_{p}^{\ast }f:=\underset{n\in \mathbb{N}}{% \sup }\frac{\left\vert \sigma_{n}f\right\vert }{\left( n+1\right) ^{1/p-2}}$ is bounded from the martingale ... More

On the convergence of Fejér means of Walsh-Fourier series in the space $H_{p}$Sep 17 2014The main aim of this paper is to find the necessary and sufficient conditions for a modulus of continuity of a martingale $F\in H_{p},$ for which Fej\'er means convergence in $H_{p}$-norm, when $0<p\leq 1/2.$

Single or combined location measurements of the same parameter without prior probability. (Altern. title, Parametric inference as useful illusion; Part 1)Mar 28 2002May 13 2003Motivation. This version is based solely on the calculus of probability, excluding any statistical principle. "Location measurement" means the pdf of the error is known. When the datum is obtained, intuition suggests something like a pdf for the parameter; ... More

On higher energy decompositions and the sum-product phenomenonMar 13 2018Jun 04 2018Let $A \subset \mathbb{R}$ be finite. We quantitatively improve the Balog-Wooley decomposition, that is $A$ can be partitioned into sets $B$ and $C$ such that $$\max\{E^+(B) , E^{\times}(C)\} \lesssim |A|^{3 - 7/26}, \ \ \max \{E^+(B,A) , E^{\times}(C, ... More

Invariance principles for random walks in random environment on treesDec 26 2018We prove that, after rescaling the bias parameter properly, the biased random walk on the range of a large critical non-lattice branching random walk converges to a Brownian motion in a random Gaussian potential on Aldous' continuum random tree (CRT). ... More

Convergence of blanket times for sequences of random walks on critical random graphsOct 17 2018Under the assumption that sequences of graphs equipped with resistances, associated measures, walks and local times converge in a suitable Gromov-Hausdorff topology, we establish asymptotic bounds on the distribution of the $\varepsilon$-blanket times ... More

Some applications of the Kohn-Rossi extension theoremsJun 02 1997We prove extension results for meromorphic functions by combining the Kohn-Rossi extension theorems with Andreotti's theory on the algebraic and analytic dependence of meromorphic functions on pseudoconcave manifolds. Versions of Kohn-Rossi theorems for ... More

An accurate metric for the spacetime around neutron starsOct 17 2016The problem of having an accurate description of the spacetime around neutron stars is of great astrophysical interest. For astrophysical applications, one needs to have a metric that captures all the properties of the spacetime around a neutron star. ... More

The Future of CosmologyDec 10 2007Jan 04 2008This article is the written version of the closing talk presented at the conference `A Century of Cosmology' held at San Servolo, Italy, in August 2007. I focus on the prospects of constraining fundamental physics from cosmological observations, using ... More

Principal Component Analysis of the Cosmic Microwave Background Anisotropies: Revealing The Tensor DegeneracySep 10 2001A principal component analysis of cosmic microwave background (CMB) anisotropy measurements is used to investigate degeneracies among cosmological parameters. The results show that a degeneracy with tensor modes -- the `tensor degeneracy' -- dominates ... More

3D Interstellar Extinction Map within the Nearest KiloparsecJun 30 2016The product of the previously constructed 3D maps of stellar reddening (Gontcharov 2010) and $R_V$ variations (Gontcharov 2012) has allowed us to produce a 3D interstellar extinction map within the nearest kiloparsec from the Sun with a spatial resolution ... More

Red Giant Clump in the Tycho-2 CatalogueJul 03 2016The Tycho-2 proper motions and Tycho-2 and 2MASS photometry are used to select 97348 red giant clump (RGC) stars. The interstellar extinction and photometric distance are calculated for each of the stars. The selected stars are shown to form a selection-unbiased ... More

Four Weak Boson Production in Tev Photon--Photon Collisions and Heavy Higgs SignalJun 26 1994We study the signals for a heavy Higgs boson in the processes $\gamma\gamma\to WWWW$, $\gamma\gamma\to WWZZ$ at the photon linear collider. The results are based on the first complete tree level calculation for these reactions. Using a forward ``spectator" ... More

An Alternative Method to Obtain the Quark Polarization of the NucleonDec 11 2000An alternate method is described to extract the quark contribution to the spin of the nucleon directly from the first moment of the deuteron structure function, $g^d_1$. It is obtained without recourse to the use of input on the nucleon wave function ... More

Dynamic Rotation and Stretch Tensors from a Dynamic Polar DecompositionOct 19 2015The local rigid-body component of continuum deformation is typically characterized by the rotation tensor, obtained from the polar decomposition of the deformation gradient. Beyond its well-known merits, the polar rotation tensor also has a lesser known ... More

Notion de $θ$-régulateurs d'un nombre algébrique. Conjectures p-adiquesJan 27 2014Apr 03 2014Let K/Q be a Galois extension of degree n, of Galois group G, and let $\eta\in K^\times$. For all large enough prime p, we define, by use of the Frobenius theorem on group determinants, the family $(\Delta_p^\theta(\eta) \in \F_p)_\theta$ of local $\theta$-regulators ... More

The number of negative modes of the oscillating bouncesFeb 10 2006The spectrum of small perturbations about oscillating bounce solutions recently discussed in the literature is investigated. Our study supports quite intuitive and expected result: the bounce with N nodes has exactly N homogeneous negative modes. Existence ... More

Negative mode problem in false vacuum decay with gravityApr 08 2000There is a single negative mode in the spectrum of small perturbations about the tunneling solutions describing a metastable vacuum decay in flat spacetime. This mode is needed for consistent description of decay processes. When gravity is included the ... More

The spectral Phase-Amplitude representation of a wave function revisitedMar 20 2014May 28 2014The phase and amplitude (Ph-A) of a wave function vary slowly and monotonically with distance, in contrast to the wave function that can be highly oscillatory. Hence an attractive feature of the Ph-A representation is that it requires far fewer meshpoints ... More

Semiconductor Analog of the Large Persistent Currents Observed in Small Gold RingsJan 14 1995The remarkably large persistent currents that are observed in disordered micron-scale gold rings at low temperatures have recently been explained in a theory of non-interacting electrons scattered by crystal grain boundaries. The present article examines ... More

Composite fermion edge states, fractional charge and current noiseMar 09 1998A composite fermion edge state theory of current fluctuations, fractional quasiparticle charge and Johnson-Nyquist noise in the fractional quantum Hall regime is presented. It is shown that composite fermion current fluctuations and the charges of the ... More

Memories of Murray and the Quark ModelJul 03 2010Life at Caltech with Murray Gell-Mann in the early 1960's is remembered. Our different paths to quarks, leading to different views of their reality, are described.

Dark Energy Stars, AdS/CFT, and High TcFeb 24 2010As developed previously the physical behavior of space-time near to an event horizon can be surmised from the behavior of a superfluid near to a critical point where the speed of sound vanishes. In this talk we note that this critical behavior can be ... More

Properly discontinuous group actions on affine homogeneous spacesJul 29 2015Dec 28 2015A generalization of the Auslander conjecture is proved in the case when the Levi factor of the Zariski closure of the acting group is a product of simple real algebraic groups of rank \leq 1. Also, the Auslander conjecture is proved for dimensions \leq ... More

Locally Divergent Orbits on Hilbert Modular SpacesDec 29 2010Apr 04 2012We describe the closures of locally divergent orbitsunder the action of tori on Hilbert modular spaces of rank r = 2. In particular, we prove that if D is a maximal R-split torus acting on a real Hilbert modular space then every locally divergent non-closed ... More

Proposed split-causality test of the relativity principleDec 13 2006We propose a test of the principle of relativity, involving quantum signals between two inertial frames. If the principle is upheld, classical causality will appear to be split in a dramatic and emphatic way. We discuss the existence of quantum horizons, ... More

Towards a dynamical theory of observationDec 16 2008May 29 2010We introduce a model of classical and quantum observation based on contextuality and dynamically evolving apparatus. Power sets of classical bits model the four classical states of elementary detectors, viz. the two normal yes/no signal states, the faulty ... More

Causal Implication and the Origin of Time DilationAug 09 2000Aug 21 2000We discuss the emergence of time dilation as a normal feature expected of any system where a central processor may have to wait one or more clock cycles before concluding a local calculation. We show how the process of causal implication in a typical ... More

Maximal boost and energy of elementary particles as a manifestation of the limit of localizability of elementary quantum systemsApr 09 2015Mar 17 2016I discuss an upper bound on the boost and the energy of elementary particles. The limit is derived utilizing the core principle of relativistic quantum mechanics stating that there is a lower bound for localization of an elementary quantum system and ... More

Enumerating quasi-Yamanouchi tableaux of Durfee size twoOct 13 2016Quasi-Yamanouchi tableaux are a refinement of standard Young tableaux that can be used in the expansion of Schur polynomials. We prove a product formula for enumerating certain quasi-Yamanouchi tableaux, and provide strong evidence that no product formula ... More

A new method for constructing invariant subspacesJun 15 2005The method of compatible sequences is introduced in order to produce non-trivial (closed) invariant subspaces of (bounded linear) operators. Also a topological tool is used which is new in the search of invariant subspaces: the extraction of continuous ... More

On the centralizer of the sum of commuting nilpotent elementsDec 14 2004Oct 23 2005Let X and Y be commuting nilpotent K-endomorphisms of a vector space V, where K is a field of characteristic p >= 0. If F=K(t) is the field of rational functions on the projective line, consider the K(t)-endomorphism A=X+tY of V. If p=0, or if the (p-1)-st ... More

Structural analysis of star-forming blue early-type galaxies: Merger-driven star formation in elliptical galaxiesDec 13 2016Star-forming blue early-type galaxies at low redshift can give insight to the stellar mass growth of L$*$ elliptical galaxies in the local Universe. We wish to understand the reason for star formation in these otherwise passively evolving red and dead ... More

Reduced Ideals in Pure Cubic FieldsMay 01 2019Reduced ideals have been defined in the context of integer rings in quadratic number fields, and they are closely tied to the continued fraction algorithm. The notion of this type of ideal extends naturally to number fields of higher degree. In the case ... More

Instability in invariant theoryJul 08 2018Transcriber's note: In the fall of 1976, my advisor, David Mumford, handed me a short preprint by George Kempf to read. It was the first state of what eventually became his influential Annals paper "Instability in Invariant Theory" (Annals of Mathematics, ... More

Practice of incomplete p-ramification over a number field -- History of abelian p-ramificationApr 24 2019The theory of p-ramification in the maximal prop extension of a number field K, unramified outside p and $\infty$, is well known including numerical experiments with PARI/GP programs. The case of incomplete "pro-p-ramification" (i.e., when the set S of ... More

Genus theory and $ε$-conjectures on p-class groupsMar 07 2019We suspect that the "genus part" of the class number of a number field $K$ is an obstruction for an "easy proof" of a "strong $\varepsilon$-conjecture" for $p$-class groups: $\# ({\mathcal C}\hskip-2pt{\ell}_K \otimes \mathbb{Z}_p) \ll_{d,p,\varepsilon} ... More

On a result of Gábor Czédli concerning congruence lattices of planar semimodular latticesMar 16 2014Apr 28 2014A planar semimodular lattice is slim if it does not contain $M_3$ as a sublattice. An SPS lattice is a slim, planar, semimodular lattice. A recent result of G\'abor Cz\'edli proves that there is an eight element (planar) distributive lattice that cannot ... More

The notion of Infinity within the Zermelo system and its relation to the Axiom of Countable ChoiceAug 27 2015In this article we consider alternative definitions-descriptions of a set being Infinite within the primitive Axiomatic System of Zermelo.

Interaction of Non-Abelian Tensor Gauge FieldsNov 21 2017Dec 03 2017The non-Abelian tensor gauge fields take value in extended Poincar\'e algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincar\'e algebra ... More

A Review of Network Inference Techniques for Neural Activation Time SeriesJun 20 2018Studying neural connectivity is considered one of the most promising and challenging areas of modern neuroscience. The underpinnings of cognition are hidden in the way neurons interact with each other. However, our experimental methods of studying real ... More

Generalized depth and associated primes in the perfect closure $R^\infty$Oct 14 2018Oct 19 2018For a reduced Noetherian ring $R$ of characteristic $p > 0$, in this paper we discuss an extension of $R$ called its perfect closure $R^\infty$. This extension contains all $p^e$-th roots of elements of $R$, and is usually non-Noetherian. We first define ... More

Homomorphisms and principal congruences of bounded latticesJul 12 2015Aug 16 2015Two years ago, I characterized the order $\Princl L$ of principal congruences of a bounded lattice $L$ as a bounded order. If $K$ and $L$ are bounded lattices and $\gf$ is a \zo homomorphism of $K$ into~$L$, then there is a natural isotone \zo-map $\gf_{\Hom}$ ... More

Congruences of fork extensions of slim semimodular latticesJul 31 2013Mar 03 2014For a slim, planar, semimodular lattice $L$ and covering square~$S$, G.~Cz\'edli and E.\,T.~Schmidt introduced the fork extension, $L[S]$, which is also a slim, planar, semimodular lattice. We investigate when a congruence of $L$ extends to $L[S]$. We ... More

On the Computation of the Optimal Connecting Points in Road NetworksJan 07 2016May 06 2016In this paper we consider a set of travelers, starting from likely different locations towards a common destination within a road network, and propose solutions to find the optimal connecting points for them. A connecting point is a vertex of the network ... More

A Note on the Action in d>4 Dynamical TriangulationsOct 02 1997For dynamical triangulations in dimensions d<=4 the most general action has two couplings. We note that the most general action for d=5 has three couplings. We explore this larger coupling space using Monte Carlo simulations. Initial results indicate ... More

Existence of holomorphic sections and perturbation of positive line bundles over $q$--concave manifoldsFeb 03 2004By using asymptotic Morse inequalities we give a lower bound for the space of holomorphic sections of high tensor powers in a positive line bundle over a q-concave domain. The curvature of the positive bundle induces a hermitian metric on the manifold. ... More

On the partial sums of Walsh-Fourier seriesDec 12 2017In this paper we investigate some convergence and divergence of some specific subsequences of partial sums with respect to Walsh system on the martingale Hardy spaces. By using these results we obtain relationship of the ratio of convergence of the partial ... More

On the partial sums of Vilenkin-Fourier seriesOct 05 2014The main aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. We also use our results to prove approximation and strong convergence theorems on the martingale Hardy spaces $H_{p},$ when $0<p\leq 1.$ ... More

A note on the strong convergence of two-dimensional Walsh-Fourier seriesOct 05 2014The main aim of this paper is to investigate the quadratical partial sums of the two-dimensional Walsh-Fourier series.

Involutive orbits of non-Noether symmetry groupsApr 19 2005We consider set of functions on Poisson manifold related by continues one-parameter group of transformations. Class of vector fields that produce involutive families of functions is investigated and relationship between these vector fields and non-Noether ... More