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Power Talk for Multibus DC MicroGrids: Creating and Optimizing Communication ChannelsSep 26 2016We study a communication framework for nonlinear multibus DC MicroGrids based on a deliberate modification of the parameters of the primary control and termed power talk. We assess the case in which the information is modulated in the deviations of reference ... More

Modemless Multiple Access Communications over Powerlines for DC Microgrid ControlSep 14 2016We present a communication solution tailored specifically for DC microgrids (MGs) that exploits: (i) the communication potential residing in power electronic converters interfacing distributed generators to powerlines and (ii) the multiple access nature ... More

A Statistical Learning Approach to Ultra-Reliable Low Latency CommunicationSep 14 2018Mission-critical applications require Ultra-Reliable Low Latency (URLLC) wireless connections, where the packet error rate (PER) goes down to $10^{-9}$. Fulfillment of the bold reliability figures becomes meaningful only if it can be related to a statistical ... More

Geometric Interpretation of Theoretical Bounds for RSS-based Source Localization with Uncertain Anchor PositionsAug 23 2016Dec 28 2016The Received Signal Strength based source localization can encounter severe problems originating from uncertain information about the anchor positions in practice. The anchor positions, although commonly assumed to be precisely known prior to the source ... More

Distributed Proportional-Fairness Control in MicroGrids via Blockchain Smart ContractsMay 03 2017May 16 2017Residential microgrids (MGs) may host a large number of Distributed Energy Resources (DERs). The strategy that maximizes the revenue for each individual DER is the one in which the DER operates at capacity, injecting all available power into the grid. ... More

Massive MIMO for Ultra-reliable Communications with Constellations for Dual Coherent-noncoherent DetectionFeb 28 2018Mar 21 2018The stringent requirements of ultra-reliable low-latency communications (URLLC) require rethinking of the physical layer transmission techniques. Massive antenna arrays are seen as an enabler of the emerging $5^\text{th}$ generation systems, due to increases ... More

Wireless Channel Modeling Perspectives for Ultra-Reliable Low Latency CommunicationsMay 04 2017Jan 12 2018Ultra-Reliable Low Latency Communication (URLLC) is one of the distinctive features of the upcoming 5G wireless communication, going down to packet error rates (PER) of $10^{-9}$. In this paper we discuss the statistical properties of the wireless channel ... More

Anti-Jamming Strategy for Distributed Microgrid Control based on Power Talk CommunicationDec 21 2016Dec 22 2016In standard implementations of distributed secondary control for DC MicroGrids (MGs), the exchange of local measurements among neighboring control agents is enabled via off-the-shelf wireless solutions, such as IEEE 802.11. However, Denial of Service ... More

Power Talk in DC Micro Grids: Constellation Design and Error Probability PerformanceJul 09 2015Power talk is a novel concept for communication among units in a Micro Grid (MG), where information is sent by using power electronics as modems and the common bus of the MG as a communication medium. The technique is implemented by modifying the droop ... More

Making the Grid Truly Smart: Autonomous System Identification in "Modemless" DC MicroGridsMar 30 2017We introduce novel framework for autonomous learning of the own configuration in direct current (DC) MicroGrids (MG) with high penetration of power electronic converters and without access to an external communication system. The framework is implemented ... More

Distributed Estimation of the Operating State of a Single-Bus DC MicroGrid without an External Communication InterfaceSep 14 2016We propose a decentralized Maximum Likelihood solution for estimating the stochastic renewable power generation and demand in single bus Direct Current (DC) MicroGrids (MGs), with high penetration of droop controlled power electronic converters. The solution ... More

Minimax-optimal decoding of movement goals from local field potentials using complex spectral featuresJan 29 2019We consider the problem of predicting eye movement goals from local field potentials (LFP) recorded through a multielectrode array in the macaque prefrontal cortex. The monkey is tasked with performing memory-guided saccades to one of eight targets during ... More

Geometric Interpretation of Theoretical Bounds for RSS-based Source Localization with Uncertain Anchor PositionsAug 23 2016The Received Signal Strength based source localization can encounter severe problems originating from uncertain information about the anchor positions in practice. The anchor positions, although commonly assumed to be precisely known prior to the source ... More

Software-Defined Microgrid Control for Resilience Against Cyber AttacksFeb 08 2018Microgrids (MGs) rely on networked control supported by off-the-shelf wireless communications. This makes them vulnerable to cyber-attacks, such as denial-of-service (DoS). In this paper, we mitigate those attacks by applying the concepts of (i) separation ... More

Secure and Robust Authentication for DC MicroGrids based on Power Talk CommunicationDec 21 2016Dec 22 2016We propose a novel framework for secure and reliable authentication of Distributed Energy Resources to the centralized secondary/tertiary control system of a DC MicroGrid (MG), networked using the IEEE 802.11 wireless interface. The key idea is to perform ... More

Decentralized DC MicroGrid Monitoring and Optimization via Primary Control PerturbationsMar 30 2017Mar 26 2018We treat the emerging power systems with direct current (DC) MicroGrids, characterized with high penetration of power electronic converters. We rely on the power electronics to propose a decentralized solution for autonomous learning of and adaptation ... More

Secure and Resilient Low-Rate Connectivity for Smart Energy Applications through Power Talk in DC MicrogridsMar 29 2017The future smart grid is envisioned as a network of interconnected microgrids (MGs) - small-scale local power networks comprising generators, storage capacities and loads. MGs bring unprecedented modularity, efficiency, sustainability, and resilience ... More

Extremely Large Aperture Massive MIMO: Low Complexity Receiver ArchitecturesOct 04 2018This paper focuses on new communication paradigms arising in massive multiple-input-multiple-output systems where the antenna array at the base station is of extremely large dimension (xMaMIMO). Due to the extreme dimension of the array, xMaMIMO is characterized ... More

Multiuser Communication through Power Talk in DC MicroGridsJul 21 2015Power talk is a novel concept for communication among control units in MicroGrids (MGs), carried out without a dedicated modem, but by using power electronics that interface the common bus. The information is transmitted by modulating the parameters of ... More

Power Talk: How to Modulate Data over a DC Micro Grid Bus using Power ElectronicsApr 12 2015We introduce a novel communication strategy for DC Micro Grids (MGs), termed power talk, in which the devices communicate by modulating the power levels in the DC bus. The information is transmitted by varying the parameters that the MG units use to control ... More

Non-Stationarities in Extra-Large Scale Massive MIMOMar 07 2019Massive MIMO, a key technology for increasing area spectral efficiency in cellular systems, was developed assuming moderately sized apertures. In this paper, we argue that massive MIMO systems behave differently in large-scale regimes due to spatial non-stationarity. ... More

Interaction instability of localization in quasiperiodic systemsJan 09 2018Apr 18 2018Integrable models form pillars of theoretical physics because they allow for full analytical understanding. Despite being rare, many realistic systems can be described by models that are close to integrable. Therefore, an important question is how small ... More

Accuracy of the WKB approximation: the case of general quartic potentialMar 24 2000We analyse the accuracy of the approximate WKB quantization for the case of general one-dimensional quartic potential. In particular, we are interested in the validity of semiclassically predicted energy eigenvalues when approaching the limit $E\to \infty$, ... More

Wireless Access in Ultra-Reliable Low-Latency Communication (URLLC)Oct 16 2018The future connectivity landscape and, notably, the 5G wireless systems will feature Ultra-Reliable Low Latency Communication (URLLC). The coupling of high reliability and low latency requirements in URLLC use cases makes the wireless access design very ... More

Numerical Analysis of the Anderson LocalizationSep 22 2006The aim of this paper is to demonstrate, by simple numerical simulations, the main transport properties of disordered electron systems.

Dimension dependence of the conductance distribution in the non-metallic regimesSep 17 2000Jan 18 2002We study numerically the form of the conductance distribution in the non-metallic regime for (1) weakly disordered systems which become insulating due to increase of the system length and (2) cubic d-dimensional systems, in which localization occours ... More

Metal-insulator transition in system with topological disorderNov 25 1999Nov 26 1999Metal-insulator transition in anisotropic disordered Anderson model with both topological and diagonal disorder is investigated numerically. For four sets of the model parameters we found the critical disorder and the critical exponent and prove that ... More

Notes on Leibniz thought experimentSep 03 2013Leibniz thought experiment of perception, sensing, and thinking is reconsidered. We try to understand Leibniz picture in view of our knowledge of basic neuroscience. In particular we can see how the emergence of consciousness could in principle be understood. ... More

Fano resonances in dielectric, metallic and metamaterial photonic structuresAug 27 2016We investigate numerically Fano resonances excited in periodic arrays of dielectric, metallic and left-handed cylinders. Of particular interest are Fano resonances excited in the linear array of cylin- ders. We analyze spatial distribution and symmetry ... More

Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebrasAug 31 2016Let $G=GL(m|n)$ be the general linear supergroup over an algebraically closed field $K$ of characteristic zero and let $G_{ev}=GL(m)\times GL(n)$ be its even subsupergroup. The induced supermodule $H^0_G(\lambda)$, corresponding to a dominant weight $\lambda$ ... More

The number of roots of full supportFeb 26 2016Jan 30 2017Chapoton has observed a simple product formula for the number of reflections in a finite Coxeter group that have full support. We give a uniform proof of his formula for Weyl groups. We furthermore refine his formula by the length of the roots.

Remark on representation theory of general linear groups over a non-archimedean local division algebraJan 27 2016In this paper we give a simple (local) proof of two principal results about irreducible tempered representations of general linear groups over a non-archimedean local division algebra. We give a proof of the parameterization of the irreducible square ... More

Relaxation times of dissipative many-body quantum systemsJul 28 2015Oct 29 2015We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent, identifying a number ... More

Quasi-asymptotically almost periodic functions and applicationsSep 25 2018The main aim of this paper is to consider the classes of quasi-asymptotically almost periodic functions and Stepanov quasi-asymptotically almost periodic functions in Banach spaces. These classes extend the well known classes of asymptotically almost ... More

Entanglement in a dephasing model and many-body localizationMar 07 2018Jun 05 2018We study entanglement dynamics in a diagonal dephasing model in which the strength of interaction decays exponentially with distance -- the so-called l-bit model of many-body localization. We calculate the exact expression for entanglement growth with ... More

Multi-directed graph complexes and quasi-isomorphisms between them II: Sourced graphsDec 04 2017Feb 13 2018We prove that the inclusion from oriented graph complex into graph complex with at least one source is a quasi-isomorphism, showing that homology of the "sourced" graph complex is also equal to the homology of standard Kontsevich's graph complex. This ... More

Reiterative $m_{n}$-distributional chaos of type $s$ in Fr\' echet spacesFeb 09 2019May 20 2019The main aim of this paper is to consider various notions of (dense) $m_{n}$-distributional chaos of type $s$ and (dense) reiterative $m_{n}$-distributional chaos of type $s$ for general sequences of linear not necessarily continuous operators in Fr\' ... More

Negentropy concept revisited: Standard thermodynamic properties of 16 bacteria, fungi and algae speciesJan 01 2019Standard molar and specific (per gram) enthalpy of formation, entropy and Gibbs free energy of formation of biomatter have been determined for 16 microorganism species, including Methylococcus capsulatus, Klebsiella aerogenes, Paracoccus denitrificans, ... More

Disjoint distributionally chaotic abstract PDE'sDec 21 2018In this paper, we analyze disjoint distributionally chaotic abstract non-degenerate partial differential equations in Fr\' echet spaces, with integer or Caputo time-fractional derivatives. We present several illustrative examples and applications of our ... More

Distributional chaos and Li-Yorke chaos in metric spacesJan 08 2019Jan 22 2019In this paper, we introduce several new types and generalizations of the concepts distributional chaos and Li-Yorke chaos. We consider the general sequences of binary relations acting between metric spaces, while in a separate section we focus our attention ... More

Irreducibility criterion for representations induced by essentially unitary ones (case of non-archimedean GL(n,A)Dec 20 2012Jun 14 2013Let A be a finite dimensional central division algebra over a local non-archimedean field F. Fix any parabolic subgroup P of GL(n,A) and a Levi factor M of P. Let \pi be an irreducible unitary representation of M and \phi (not necessarily unitary) character ... More

On Stein Neighborhood Basis of Real SurfacesSep 12 2003In this paper, we show that a compact real surface embedded in a complex surface has a regular Stein neighborhood basis, provided that there are only finitely many complex points on the surface, and that they are all flat and hyperbolic. An application ... More

Homological thickness and stability of torus knotsNov 21 2005Sep 28 2006In this paper we show that the non-alternating torus knots are homologically thick, i.e. that their Khovanov homology occupies at least three diagonals. Furthermore, we show that we can reduce the number of full twists of the torus knot without changing ... More

On the H-triangle of generalised nonnesting partitionsMay 02 2013Oct 31 2013To a crystallographic root system \Phi, and a positive integer k, there are associated two Fuss-Catalan objects, the set of nonnesting partitions NN^(k)(\Phi), and the cluster complex \Delta^(k)(\Phi). These posess a number of enumerative coincidences, ... More

On complex points of codimension 2 submanifoldsDec 08 2013In this paper we study the structure of complex points of codimension 2 real submanifolds in complex $n$ dimensional manifolds. We show that the local structure of a complex point up to isotopy only depends on their type (either elliptic or hyperbolic). ... More

Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representationNov 03 2010Jan 12 2011We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation. The analytical solution for the nonequilibrium steady state found for particular parameters in [J.Stat.Mech., L05002 (2010)] ... More

Khovanov homology of links and graphsMay 22 2006In this thesis we work with Khovanov homology of links and its generalizations, as well as with the homology of graphs. Khovanov homology of links consists of graded chain complexes which are link invariants, up to chain homotopy, with graded Euler characteristic ... More

Elementary epistemological features of machine intelligenceDec 04 2008Jun 30 2017Theoretical analysis of machine intelligence (MI) is useful for defining a common platform in both theoretical and applied artificial intelligence (AI). The goal of this paper is to set canonical definitions that can assist pragmatic research in both ... More

Wonderful Compactifications in Quantum Field TheoryNov 20 2014Jan 07 2016This article reviews the use of DeConcini-Procesi wonderful models in renormalization of ultraviolet divergences in position space as introduced by Bergbauer, Brunetti and Kreimer. In contrast to the exposition there we employ a slightly different approach; ... More

Multivariate normal mixture modeling, clustering and classification with the rebmix packageJan 26 2018The rebmix package provides R functions for random univariate and multivariate finite mixture model generation, estimation, clustering and classification. The paper is focused on multivariate normal mixture models with unrestricted variance-covariance ... More

Modeling complex points up to isotopyNov 19 2011In this paper we examine the structure of complex points of real 4-manifolds embedded into complex 3-manifolds up to isotopy. We show that there are only two types of complex points up to isotopy and as a consequence, show that any such embedding can ... More

Circulant matrices: norm, powers, and positivityMar 26 2018Apr 23 2018In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general real circulant matrix ${\bf C}$ equals the modulus of its row/column sum. ... More

On extended graphical calculus for categorified quantum $sl(n)$May 22 2016We study the properties of the extended graphical calculus for categorified quantum $sl(n)$. The main results include proofs of Reidemeister 2 and Reidemeister 3-like moves involving strands corresponding to arbitrary thicknesses and arbitrary colors ... More

The existence and uniqueness of almost periodic and asymptotically almost periodic solutions of semilinear Cauchy inclusionsAug 08 2018The main aim of this paper is to investigate almost periodicity and asymptotic almost periodicity of abstract semilinear Cauchy inclusions of first order with (asymptotically) Stepanov almost periodic coefficients. To achieve our goal, we employ fixed ... More

Definite Sums as Solutions of Linear Recurrences With Polynomial CoefficientsApr 09 2018We present an algorithm which, given a linear recurrence operator $L$ with polynomial coefficients, $m \in \mathbb{N}\setminus\{0\}$, $a_1,a_2,\ldots,a_m \in \mathbb{N}\setminus\{0\}$ and $b_1,b_2,\ldots,b_m \in \mathbb{K}$, returns a linear recurrence ... More

Numerical studies of Anderson transitionAug 10 1999We present numerical results for the statistics of $z$'s ($z$'s are defined as logarithm of eigenvalues of the transfermatrix $T^\dag T$) at the critical points of Anderson transition in 3D and 4D. The change of the density of $z$ due to the crossover ... More

Electron transport in strongly disordered structuresJun 30 2009Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive transport regime). ... More

Absence of diffusion in certain random lattices: Numerical evidenceJul 16 2008Jul 20 2009We demonstrate, by solving numerically the time-dependent Schroedinger equation, the physical character of electron localization in a disordered two-dimensional lattice. We show, in agreement with the prediction of P. W. Anderson, that the disorder prevents ... More

Application of the Feynman-tree theorem together with BCFW recursion relationsSep 01 2016Recently, it has been shown that on-shell scattering amplitudes can be constructed by the Feynman-tree theorem combined with the BCFW recursion relations. Since the BCFW relations are restricted to tree diagrams, the preceding application of the Feynman-tree ... More

Differentials on Graph Complexes III - Deleting a VertexFeb 26 2016We prove that the hairy graph complex with the extra differential is almost acyclic. This justifies the construction of hairy graph cohomology classes by the waterfall mechanism. The main idea used in the paper is a new differential, deleting a vertex. ... More

Gravity induced over a smooth solitonJan 16 2003I consider gravity induced over a smooth (finite thickness) soliton. Graviton kinetic term is coupled to bulk scalar that develops solitonic vacuum expectation value. Couplings of Kaluza-Klein modes to soliton-localized matter are suppressed, giving rise ... More

Equidistribution of the Sequence [m]P in Elliptic CurvesMar 24 2019A lot of controversy surrounds the use of Elliptic Curves in finite fields as Random Number Generators. There is little information however concerning the "randomness" of different procedures on Elliptic Curves defined over fields of characteristic $0$. ... More

Geometry of local quantum dissipation and fundamental limits to local coolingJan 14 2015May 11 2015We geometrically characterize one-qubit dissipators of a Lindblad type. An efficient parametrization in terms of 6 linear parameters opens the way to various optimizations with local dissipation. As an example, we study maximal steady-state singlet fraction ... More

Trace decategorification of categorified quantum sl(3)May 09 2014We prove that the trace of categorified quantum sl(3) introduced by M. Khovanov and A. Lauda can also be identified with quantum sl(3), thus providing an alternative way of decategorification.

Primitive vectors in induced supermodules for general linear supergroupsSep 15 2013Apr 17 2014The purpose of the paper is to derive formulas that describe the structure of the induced supermodule H^0_G(\la) for the general linear supergroup G=GL(m|n) over an algebraically closed field K of characteristic p\neq 2. Using these formulas we determine ... More

Site Percolation on Multi-dimensional LatticeJul 10 2013Aug 28 2013Sites in an infinite d-dimensional lattice, open with probability greater or equal to 1/d, form an infinite open path.

The inversion number and the major index are asymptotically jointly normally distributed on wordsFeb 27 2013In a recent paper, Baxter and Zeilberger show that the two most important Mahonian statistics, the inversion number and the major index, are asymptotically independently normally distributed on permutations. In another recent paper, Canfield, Janson and ... More

Interplay of bulk and surface properties for steady-state measurements of minority carrier lifetimesSep 27 2011The measurement of the minority carrier lifetime is a powerful tool in the field of semiconductor material characterization as it is very sensitive to electrically active defects. Furthermore, it is applicable to a wide range of samples such as ingots ... More

A matrix product solution for a nonequilibrium steady state of an XX chainJun 28 2010Sep 29 2010A one dimensional XX spin chain of finite length coupled to reservoirs at both ends is solved exactly in terms of a matrix product state ansatz. An explicit representation of matrices of fixed dimension 4 independent of the chain length is found. Expectations ... More

Spin transport in a one-dimensional anisotropic Heisenberg modelMar 21 2011Jun 02 2011We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic for Delta<1 ... More

Quantum transport in one-dimensional systems via a master equation approach: Numerics and an exact solutionDec 21 2010Nov 14 2011We discuss recent findings about properties of quantum nonequilibrium steady states. In particular we focus on transport properties. It is shown that the time dependent density matrix renormalization method can be used successfully to find a stationary ... More

Initial-state randomness as a universal source of decoherenceMay 05 2008Aug 15 2008We study time evolution of entanglement between two qubits, which are part of a larger system, after starting from a random initial product state. We show that, due to randomness in the initial product state, entanglement is present only between directly ... More

Disjoint distributional chaos in Fréchet spacesDec 10 2018Dec 22 2018We introduce several different notions of disjoint distributional chaos for sequences of multivalued linear operators in Fr\'echet spaces. Any of these notions seems to be new and not considered elsewhere even for linear continuous operators in Banach ... More

Advances towards a General-Purpose Societal-Scale Human-Collective Problem-Solving EngineJan 03 2005Human collective intelligence has proved itself as an important factor in a society's ability to accomplish large-scale behavioral feats. As societies have grown in population-size, individuals have seen a decrease in their ability to activeily participate ... More

Multi-directed graph complexes and quasi-isomorphisms between them I: oriented graphsMar 28 2017Feb 13 2018We construct a direct quasi-isomorphism from Kontsevich's graph complex GC_n to the oriented graph complex OGC_{n+1}, thus providing an alternative proof that the two complexes are quasi-isomorphic. Moreover, the result is extended to the sequence of ... More

Comment to: The interaction of relativistic spacecrafts with the interstellar mediumJan 16 2017Recently, Hoang et al. (arXiv:1608.05284) reported analysis of the interaction of relativistic spacecrafts with interstellar medium (ISM, i.e. gas atoms and dust particles) relevant for the Breakthrough starshot initiative (https://breakthroughinitiatives.org/Initiative/3). ... More

Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebrasAug 31 2016Aug 06 2017Let $G=GL(m|n)$ be the general linear supergroup over an algebraically closed field $K$ of characteristic zero and let $G_{ev}=GL(m)\times GL(n)$ be its even subsupergroup. The induced supermodule $H^0_G(\lambda)$, corresponding to a dominant weight $\lambda$ ... More

Differentials on Graph Complexes III - Deleting a VertexFeb 26 2016May 09 2017We prove that the hairy graph complex with the extra differential is almost acyclic. This justifies the construction of hairy graph cohomology classes by the waterfall mechanism. The main idea used in the paper is a new differential, deleting a vertex. ... More

Composition principles for generalized almost periodic functionsOct 04 2018In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of (asymptotically) Stepanov $p$-almost periodic functions and (asymptotically, equi-)Weyl $p$-almost ... More

Two simple observations on representations of metaplectic groupsSep 02 2017M. Hanzer and I. Matic have proved that the genuine unitary principal series representations of the metaplectic groups are irreducible. A simple consequence of that paper is a criterion for the irreducibility of the non-unitary principal series representations ... More

On certain values of Kloosterman sumsMar 25 2009Apr 16 2009Let $K_{q^n}(a)$ be a Kloosterman sum over the finite field $\F_{q^n}$ of characteristic $p$. In this note so called subfield conjecture is proved in case $p>3$: if $a\ne0$ belongs to the proper subfield $\F_q$ of $\F_{q^n}$, then $K_{q^n}(a)\ne-1$. This ... More

Singular shock waves in interactionsJun 13 2006n a number of papers it was shown that there are one-dimensional systems such that they contain solutions with, so called, overcompressive singular shock waves besides the usual elementary waves (shock and rarefaction ones as well as contact discontinuities). ... More

Probability distribution of the conductance at the mobility edgeJan 26 1999Distribution of the conductance P(g) at the critical point of the metal-insulator transition is presented for three and four dimensional orthogonal systems. The form of the distribution is discussed. Dimension dependence of P(g) is proven. The limiting ... More

Topics in quantum chaos of generic systemsMar 28 2000Mar 30 2000We review the main ideas and results in the stationary problems of quantum chaos in generic (mixed) systems, whose classical dynamics has regular (invariant tori) and chaotic regions coexisting in the phase space. First we discuss the universality classes ... More

Combinatorial aspects of the linkage principle for general linear supergroupsSep 06 2016Let $G=GL(m|n)$ be a general linear supergroup and $G_{ev}$ be its even subsupergroup isomorphic to $GL(m)\times GL(n)$. In this paper we use the explicit description of $G_{ev}$-primitive vectors in the costandard supermodule $\nabla(\lambda)$, the largest ... More

Supersymmetric quantum mechanics based on higher excited statesNov 18 1996We generalize the formalism and the techniques of the supersymmetric (susy) quantum mechanics to the cases where the superpotential is generated/defined by higher excited eigenstates. The generalization is technically almost straightforward but physically ... More

Anomalous nonequilibrium current fluctuations in the Heisenberg modelMay 21 2014Oct 10 2014We study fluctuation properties of a one-dimensional anisotropic Heisenberg model out of equilibrium, focusing in particular on the gapped regime. Within the open-system setting we study large-deviation properties of the spin current. Numerically evaluating ... More

On floors and ceilings of the k-Catalan arrangementNov 22 2013Nov 05 2014The set of dominant regions of the $k$-Catalan arrangement of a crystallographic root system $\Phi$ is a well-studied object enumerated by the Fu{\ss}-Catalan number $Cat^{(k)}(\Phi)$. It is natural to refine this enumeration by considering floors and ... More

Adjacency preservers on invertible hermitian matrices IIJul 10 2013Maps that preserve adjacency on the set of all invertible hermitian matrices over a finite field are characterized. It is shown that such maps form a group that is generated by the maps $A\mapsto PAP^{\ast}$, $A\mapsto A^{\sigma}$, and $A\mapsto A^{-1}$, ... More

Density-feedback control in traffic and transport far from equilibriumJun 07 2013A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal realization ... More

Magnetization transport in spin ladders and next-nearest-neighbor chainsApr 08 2013Nov 27 2013We study magnetization transport at high temperatures in several spin ladder systems as well as in next-nearest-neighbor coupled spin chains. In the integrable ladder considered we analytically show that the transport is ballistic in sectors with nonzero ... More

Large-deviation statistics of a diffusive quantum spin chain and the additivity principleJan 28 2014Apr 24 2014Using the large-deviation formalism, we study the statistics of current fluctuations in a diffusive nonequilibrium quantum spin chain. The boundary-driven XX chain with dephasing consists of a coherent bulk hopping and a local dissipative dephasing. We ... More

Exact solution for a diffusive nonequilibrium steady state of an open quantum chainMay 07 2010We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point correlations are ... More

The divisibility modulo 24 of Kloosterman sums on $GF(2^m)$, $m$ evenJan 18 2008Feb 16 2008In a recent work by Charpin, Helleseth, and Zinoviev Kloosterman sums $K(a)$ over a finite field $\F_{2^m}$ were evaluated modulo 24 in the case $m$ odd, and the number of those $a$ giving the same value for $K(a)$ modulo 24 was given. In this paper the ... More

Entanglement of random vectorsNov 22 2006We analytically calculate the average value of i-th largest Schmidt coefficient for random pure quantum states. Schmidt coefficients, i.e., eigenvalues of the reduced density matrix, are expressed in the limit of large Hilbert space size and for arbitrary ... More

Real Surfaces in Elliptic SurfacesSep 12 2003We study the structure of complex points on real surfaces, embedded into complex Elliptic surfaces. We show, for example, that any compact surface has a totally real embedding into a blow-up of a K3 surface. We also exhibit smooth disc bundles over compact ... More

Introduction to Dynamic Linear Models for Time Series AnalysisMar 27 2019May 21 2019Dynamic linear models (DLM) offer a very generic framework to analyse time series data. Many classical time series models can be formulated as DLMs, including ARMA models and standard multiple linear regression models. The models can be seen as general ... More

Supersymmetric elements in divided powers algebrasDec 22 2018Description of adjoint invariants of general Linear Lie superalgebras $\mathfrak{gl}(m|n)$ by Kantor and Trishin is given in terms of supersymmetric polynomials. Later, generators of invariants of the adjoint action of the general linear supergroup $GL(m|n)$ ... More

Disjoint distributional chaos in Fréchet spacesDec 10 2018May 21 2019We introduce several different notions of disjoint distributional chaos for sequences of multivalued linear operators in Fr\'echet spaces. Any of these notions seems to be new and not considered elsewhere even for linear continuous operators in Banach ... More

Combinatorial aspects of the linkage principle for general linear supergroupsSep 06 2016Aug 06 2017Let $G=GL(m|n)$ be a general linear supergroup and $G_{ev}$ be its even subsupergroup isomorphic to $GL(m)\times GL(n)$. In this paper we use the explicit description of $G_{ev}$-primitive vectors in the costandard supermodule $\nabla(\lambda)$, the largest ... More