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Design of a hybrid silicon-plasmonic co-propagant integrated coherent perfect absorberDec 16 2015By a hybrid integration of plasmonic and dielectric waveguide concepts, it is shown that coherent perfect absorption can be achieved in a co-propagant coupler geometry. The device holds promises for classical and quantum signal processing. First, the ... More

The failure of the Classical Nucleation Theory at low temperatures resolvedFeb 08 2019A relevant observation about crystal nucleation kinetics in glass-forming substances has been a matter of intense debate for several decades. The Classical Nucleation Theory (CNT) allegedly fails to describe the temperature dependence of the homogeneous ... More

Universal lineshapes at the crossover between weak and strong critical coupling in Fano-resonant coupled oscillatorsSep 02 2015In this article we discuss a model describing key features concerning the lineshapes and the coherent absorption conditions in Fano-resonant dissipative coupled oscillators. The model treats on the same footing the weak and strong coupling regimes, and ... More

On killers of cable knots groupsOct 12 2016A killer of a group Gis an element that normally generates G. We show that the group of a cable knot contains infinitely many killers such that no two lie in the same automorphic orbit.

Rebuttal to Schmelzer and Tropin: Glass Transition, Crystallization of Glass-Forming Melts, and EntropyMar 20 2018In a recent article, Schmelzer and Tropin [Entropy 20 [2] 103 (2018)] presented an unfounded, confusing critique of several aspects of modern glass science. Relying on pre-Socratic Greek philosophy and state-of-the-art scientific understanding from the ... More

Coherent perfect absorption in photonic structuresJun 01 2016The ability to drive a system with an external input is a fundamental aspect of light-matter interaction. The coherent perfect absorption (CPA) phenomenon extends to the general multibeam interference phenomenology the well known critical coupling concepts. ... More

Mapping deformed hyperbolic potentials into nondeformed onesJan 18 2005In this work we introduce a mapping between the so called deformed hyperbolic potentials, which are presenting a continuous interest in the last few years, and the corresponding nondeformed ones. As a consequence, we conclude that these deformed potentials ... More

SPPAM - Statistical PreProcessing AlgorithMMar 11 2011Most machine learning tools work with a single table where each row is an instance and each column is an attribute. Each cell of the table contains an attribute value for an instance. This representation prevents one important form of learning, which ... More

Ordering ambiguity versus representationMay 22 2007In this work we show that the ordering ambiguity on quantization depends on the representation choice. This property is then used to solve unambiguously some particular systems. Finally, we speculate on the consequences for more involved cases.

Quantum propagator for some classes of three-dimensional three-body systemsMay 18 2007In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and masses, by using ... More

General solutions for some classes of interacting two field kinksMay 21 2007In this work we present some classes of models whose the corresponding two coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. In these cases the so-called trial orbit method is completely unnecessary. ... More

A general convex framework for multiple testing with prior informationMar 17 2016Using prior information may improve power in frequentist multiple testing. P-value weighting is a promising methodology where each test is conducted at a different level, using critical values based on independent prior data. However, existing methods ... More

Black hole microstates in AdSDec 21 2015We extend a recently derived higher-dimensional Cardy formula to include angular momenta, which we use to obtain the Bekensten-Hawking entropy of AdS black branes, compactified rotating branes, and large Schwarzschild/Kerr black holes. This is the natural ... More

Physics with Single Photons plus Missing Energy Final States at D0May 29 2009Final state signatures of a single photon and missing transverse energy offer unique and powerful advantages in the search for new physics. This document presents the first observation of the Zgamma to nunu_bargamma process at the Tevatron Collider at ... More

Modular forms and a generalized Cardy formula in higher dimensionsAug 11 2015Nov 23 2016We derive a formula which applies to conformal field theories on a spatial torus and gives the asymptotic density of states solely in terms of the vacuum energy on a parallel plate geometry. The formula follows immediately from global scale and Lorentz ... More

Is the Basic Unit System a String?Oct 28 2000The main aim of this paper is to present an overview of the need of a new way of coping the fundamental equations of physics, see the references. Our main aim is to build a new metrics in which both time and space are included, but in some sort of minkowskian ... More

First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba systemOct 18 2016Oct 24 2016This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using field theory methods. ... More

Markovian Random Iterations of MapsMay 24 2019In this paper, we study Markovian random iterations of maps on standard measurable spaces. We establish a one-to-one correspondence between stationary measures and a certain class of invariant measures of a Markovian random iteration, extending a similar ... More

Markovian Random Iterations of MapsMay 24 2019Jun 05 2019In this paper, we study Markovian random iterations of maps on standard measurable spaces. We establish a one-to-one correspondence between stationary measures and a certain class of invariant measures of a Markovian random iteration, extending a similar ... More

Analytical proof of Schottky Conjecture for multi-stage field emittersJun 21 2019Schottky Conjecture is analytically proved for multi-stage field emitters consisting on the superposition of rectangular or trapezoidal protrusions on a line under some specific limit. The case in which a triangular protrusion is present on the top of ... More

Markovian Random Iterations of MapsMay 24 2019May 27 2019In this paper, we study Markovian random iterations of maps on standard measurable spaces. We establish a one-to-one correspondence between stationary measures and a certain class of invariant measures of a Markovian random iteration, extending a similar ... More

On sup-norm bounds part I: ramified Maaß newforms over number fieldsOct 01 2017We prove new upper bounds for the sup-norm of Hecke Maa{\ss} newforms on $GL(2)$ over a number field. Our newforms are more general than those considered in a recent paper by Blomer, Harcos, Maga, and Mili\`cevi\`c: we do not require square free level. ... More

Emergent gravity from Eguchi-Kawai reductionNov 13 2016Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin ... More

The Basic Unit System concept and The Principle of SynergyAug 20 1999The purpose of this paper is to present a new proposal to both dualistic and holistic paradigm, by introducing a complex basic unit system mathematical concept in which the quantitative and the qualitative aspects of reality commingle in a unit, and by ... More

Restricted Complexity, General ComplexityOct 10 2006Why has the problematic of complexity appeared so late? And why would it be justified?

High Mach-number Bondi--Hoyle--Lyttleton flow around a small accretorJan 05 2005In this paper, we discuss a two-dimensional numerical study of isothermal high Mach number Bondi--Hoyle--Lyttleton flow around a small accretor. The flow is found to be unstable at high Mach numbers, with the instability appearing even for a larger accretor. ... More

Physics of high energy atmospheric muonsDec 21 2010In the first part of the talk the interesting new results of MINOS, OPERA and CMS collaborations (connected with the observational evidence of the rise in the muon charge ratio at muon energies around 1 TeV) are briefly discussed from theoretical point ... More

On sup-norm bounds part II: $GL(2)$ Eisenstein seriesOct 01 2017Jan 14 2018In this paper we consider the sup-norm problem in the context of analytic Eisenstein series for $GL(2)$ over number fields. We prove a hybrid bound which is sharper than the corresponding bound for Maa\ss\ forms. Our results generalise those of Huang ... More

A Proof of the Isometric Embedding Theorem in Three Dimensional Euclidean SpaceDec 15 2017A proof of the isometric embedding of a given two-metric in E^3 of class C^1. The method uses the theory of first order partial differential equations. The curvature of the metric plays no role in the proof.

The distribution of the number of parts of $m$-ary partitions modulo $m$Feb 29 2016We investigate the number of parts modulo $m$ of $m$-ary partitions of a positive integer $n$. We prove that the number of parts is equidistributed modulo $m$ on a special subset of $m$-ary partitions. As consequences, we explain when the number of parts ... More

Photonic bands and defect modes in metallo-dielectric photonic crystal slabsMay 30 2016Photonic components based on structured metallic elements show great potential for device applications where field enhancement and confinement of the radiation on a subwavelength scale is required. In this paper we report a detailed study of a prototypical ... More

Saturation and bistability of defect-mode intersubband polaritonsMay 28 2016In this article we report about linear and nonlinear optical properties of intersubband cavity polariton samples, where the resonant photonic mode is a defect state in a metallo-dielectric photonic crystal slab. By tuning a single geometric parameter ... More

Emergent gravity from Eguchi-Kawai reductionNov 13 2016Nov 15 2016Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin ... More

First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba systemOct 18 2016This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using field theory methods. ... More

Efficient Computation of Limit Spectra of Sample Covariance MatricesJul 07 2015Consider an $n \times p$ data matrix $X$ whose rows are independently sampled from a population with covariance $\Sigma$. When $n,p$ are both large, the eigenvalues of the sample covariance matrix are substantially different from those of the true covariance. ... More

Weighted mining of massive collections of $p$-values by convex optimizationMar 17 2016Jun 16 2017Researchers in data-rich disciplines---think of computational genomics and observational cosmology---often wish to mine large bodies of $p$-values looking for significant effects, while controlling the false discovery rate or family-wise error rate. Increasingly, ... More

On the size of p-adic Whittaker functionsOct 01 2017Dec 21 2018In this paper we tackle a question raised by N. Templier and A. Saha concerning the size of Whittaker new vectors appearing in infinite dimensional representations of GL(2) over non-archimedean fields. We derive precise bounds for such functions in all ... More

Holographic Entanglement Entropy and Fermi SurfacesDec 12 2011Jan 25 2012The entanglement entropy in theories with a Fermi surface is known to produce a logarithmic violation of the usual area law behavior. We explore the possibility of producing this logarithmic violation holographically by analyzing the IR regions of the ... More

The Principle of Synergy and Isomorphic Units, a revised versionFeb 04 2001A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a unit that remains itself in spite of complex operations such as integration and derivation. ... More

The Principle of Synergy and Isomorphic UnitsOct 07 2000A solution to the part and whole problem is presented in this paper by using a complex mathematical representation that permits to define the Holon concept as a Basic Unit System that remains itself in spite of complex operations such as integration and ... More

Permutation methods for factor analysis and PCAOct 02 2017Oct 06 2018Researchers often have datasets measuring features $x_{ij}$ of samples, such as test scores of students. In factor analysis and PCA, these features are thought to be influenced by unobserved factors, such as skills. Can we determine how many components ... More

Electromagnetism, Relativity and The Basic Unit System conceptAug 21 1999This is the second of three papers I will present as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a powerful ... More

Gravitational Fields and The Basic Unit System conceptAug 22 1999This is the third one of three papers I have presented as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a ... More

Modular forms and a generalized Cardy formula in higher dimensionsAug 11 2015Apr 26 2016We derive a formula which applies to conformal field theories on a spatial torus and gives the asymptotic density of states solely in terms of the vacuum energy on a parallel plate geometry. The formula follows immediately from global scale and Lorentz ... More

Yet another $GL_2$ subconvexity resultMay 02 2018In this paper we establish a very flexible and explicit Voronoi summation formula. This is then used to prove an almost Weyl strength subconvexity result for automorphic $L$-functions of degree two in the depth aspect. That is, looking at twists by characters ... More

Modular invariance on $S^1 \times S^3$ and circle fibrationsDec 15 2016Dec 10 2017I conjecture a high-temperature/low-temperature duality for conformal field theories defined on circle fibrations like $S^3$ and its lens space family. The duality is an exchange between the thermal circle and the fiber circle in the limit where both ... More

Emergent gravity from Eguchi-Kawai reductionNov 13 2016Dec 16 2016Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin ... More

First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba systemOct 18 2016Nov 07 2017This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using field theory methods. ... More

Flexible Multiple Testing with the FACT AlgorithmJun 26 2018Modern high-throughput science often leads to multiple testing problems: researchers test many hypotheses, wishing to find the significant discoveries. The development of flexible multiple testing methods is thus a central problem in statistics. In this ... More

A Cardy formula for holographic hyperscaling-violating theoriesApr 08 2015Feb 10 2016We propose a formalism for counting the microstates of a class of three-dimensional black holes which are not asymptotically AdS. The formalism rests on the invariance of a dual field theory under a generalized modular transformation and is extended to ... More

Searching for the elusive gravitonOct 08 2008Oct 08 2008We present a search for large extra dimensions in the single photon plus missing transverse energy channel (Kaluza-Klein graviton production) performed using 2.7 fb-1 of data collected by the D0 experiment at the Fermilab Tevatron collider. At 95% C.L., ... More

Discovery of three optical open clusters in the GalaxyApr 11 2004We report the discovery of three optical open clusters in the Milky Way. Two clusters are in Scutum (Cluster1 at l=18.44 degrees and b=-0.42 degrees, and Cluster2 at l=19.60 degrees and b=-1.02 degrees), thus projected not far from the Galactic center ... More

Accelerating Recommender Systems using GPUsNov 08 2015We describe GPU implementations of the matrix recommender algorithms CCD++ and ALS. We compare the processing time and predictive ability of the GPU implementations with existing multi-core versions of the same algorithms. Results on the GPU are better ... More

Critical parameters of consistent relativistic mean-field modelsApr 18 2017In the present work, the critical temperature, critical pressure and critical density, known as the critical parameters related to the liquid-gas phase transition are calculated for 34 relativistic mean-field models, which were shown to satisfy nuclear ... More

Multiflavor SolderingDec 22 2007In two dimensions the simple addition of two chiral bosons of opposite chiralities does not lead to a full massless scalar field. Similarly, in three dimensions the addition of two Maxwell-Chern-Simons fields of opposite helicities $\pm 1$ will not produce ... More

Comment on ``Anyon in an External Eletromagnetic Field: Hamiltonian and Lagrangian Formulations''Feb 09 1994We comment on a recent paper by Chaichian et al. (Phys.Rev.Lett. 71(1993)3405).

Class of self-dual models in three dimensionsFeb 14 2000In the present paper we introduce a hierarquical class of self-dual models in three dimensions, inspired in the original self-dual theory of Towsend-Pilch-Nieuwenhuizen. The basic strategy is to explore the powerful property of the duality transformations ... More

Bioinformatics Computational Cluster Batch Task Profiling with Machine Learning for Failure PredictionDec 22 2018Motivation: Traditional computational cluster schedulers are based on user inputs and run time needs request for memory and CPU, not IO. Heavily IO bound task run times, like ones seen in many big data and bioinformatics problems, are dependent on the ... More

Threads and Or-Parallelism UnifiedJul 26 2010One of the main advantages of Logic Programming (LP) is that it provides an excellent framework for the parallel execution of programs. In this work we investigate novel techniques to efficiently exploit parallelism from real-world applications in low ... More

Consistent relativistic mean-field models: critical parameters valuesMay 07 2018May 24 2018We revisit the study published in [1], related to the behavior of 34 relativistic mean-field models, previously selected because they satisfy bulk nuclear matter properties, here used to compute the critical parameters of the symmetric nuclear matter. ... More

Metasurface reconfiguration through lithium ion intercalation in a transition metal oxideOct 08 2018In the latest years the optical engineer's toolbox has welcomed a new concept, the metasurface. In a metasurface, properly tailored material inclusions are able to reshape the electromagnetic field of an incident beam. Change of amplitude, phase and polarization ... More

Dirac equation exact solutions for generalized asymmetrical Hartmann potentialsMay 23 2007In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided the vector potential is equal to or minus the scalar potential. The cases ... More

Sparse Tensor Algebra as a Parallel Programming ModelNov 30 2015Dense and sparse tensors allow the representation of most bulk data structures in computational science applications. We show that sparse tensor algebra can also be used to express many of the transformations on these datasets, especially those which ... More

Analysis of Free Will and Determinism in PhysicsJun 27 2014It is considered the study of determinism in the theories of physics. Based on fundamental postulates of physics, it is proved that the evolution of the universe is univocally determined, proving ultimately that free will does not exist. In addition, ... More

Axion inflation with gauge field production and primordial black holesDec 28 2013Oct 19 2014We study the process of primordial black hole (PBH) formation at the beginning of radiation era for the cosmological scenario in which the inflaton is a pseudo-Nambu-Goldstone boson (axion) and there is a coupling of the inflaton with some gauge field. ... More

Cosmological constraints on the curvaton web parametersDec 28 2012Jul 09 2013We consider the mixed inflaton-curvaton scenario in which quantum fluctuations of the curvaton field during inflation lead to a relatively large curvature perturbation spectrum at small scales. We use the model of chaotic inflation with quadratic potential ... More

Density perturbations in braneworld cosmology and primordial black holesDec 06 2010We study, by numerical methods, the time evolution of scalar perturbations in radiation era of Randall-Sundrum braneworld cosmology. Our results confirm an existence of the enhancement of perturbation amplitudes (near horizon crossing), discovered recently. ... More

Application of Generalized Fokker-Planck Theory To Electron And Photon Transport In TissueDec 09 2009We study a deterministic method for particle transport in tissue in selected medical applications. Generalized Fokker-Planck (GFP) theory has been developed to improve the Fokker-Planck (FP) equation in cases where scattering is forward-peaked and where ... More

Bound on induced gravitational wave background from primordial black holesNov 03 2009Dec 22 2009The today's energy density of the induced (second order) gravitational wave background in the frequency region $\sim 10^{-3} - 10^3$ Hz is constrained using the existing limits on primordial black hole production in the early Universe. It is shown, in ... More

Constraints on power spectrum of density fluctuations from PBH evaporationsDec 21 2006We calculate neutrino and photon energy spectra in extragalactic space from evaporation of primordial black holes, assuming that the power spectrum of primordial density fluctuations has a strong bump in the region of small scales. The constraints on ... More

Quantum walks on graphs and quantum scattering theoryMar 08 2004We discuss a particular kind of quantum walk on a general graph. We affix two semi-infinite lines to a general finite graph, which we call tails. On the tails, the particle making the walk simply advances one unit at each time step, so that its behavior ... More

Solving the TTC 2011 Compiler Optimization Case with GrGen.NETNov 21 2011The challenge of the Compiler Optimization Case is to perform local optimizations and instruction selection on the graph-based intermediate representation of a compiler. The case is designed to compare participating tools regarding their performance. ... More

Generation and Transfer of Polarized Radiation in Hydrodynamical Models of the Solar ChromosphereFeb 07 2014The main goal of this thesis has been to investigate the effects that the macroscopic vertical velocity fields have on the scattering polarization signals formed in the solar chromosphere. Until now, the impact of macroscopic motions had never been considered ... More

Spectral data and solvent theory for regular matrix polynomialsDec 22 2013This paper contains a re-evaluation of the spectral approach and factorizability for regular matrix polynomials. In addition, solvent theory is extended from the monic and comonic cases to the regular case. The classification of extended solvents (bisolvents) ... More

Random products of maps synchronizing on averageFeb 06 2018Feb 09 2018We present a necessary and sufficient condition for a random product of maps on a compact metric space to be (strongly) synchronizing on average.

A Criterion For Kolchin Subgroups Of Out(Fr)Oct 17 2018This article provides a decidable criterion for when a subgroup of Out(Fr) generated by two Dehn twists consists entirely of polynomially growing elements, answering an earlier question of the author.

Rectangular Polyomino Set Weak (1,2)-achievement GamesOct 03 2010In a polyomino set (1,2)-achievement game the maker and the breaker alternately mark one and two previously unmarked cells respectively. The maker's goal is to mark a set of cells congruent to one of a given set of polyominoes. The breaker tries to prevent ... More

Geburtstage, Wuerfel, Produkte und KartenNov 16 2017This article, based on a talk, treats some elementary, but not completely simple examples from probability. They concern multiple birthday coincidences, throwing dice, the combinatorics of the German card game "Doppelkopf", and the properties of products ... More

Properties of Commutative Association Schemes derived by FGLM TechniquesJan 10 2001Association schemes are combinatorial objects that allow us solve problems in several branches of mathematics. They have been used in the study of permutation groups and graphs and also in the design of experiments, coding theory, partition designs etc. ... More

Identifying emergency stages in Facebook posts of police departments with convolutional and recurrent neural networks and support vector machinesJan 02 2018Jan 24 2018Classification of social media posts in emergency response is an important practical problem: accurate classification can help automate processing of such messages and help other responders and the public react to emergencies in a timely fashion. This ... More

On Net Maps: Examples and Nonexistence ResultsJul 04 2015A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. Nearly Euclidean Thurston (NET) maps are simple generalizations of rational Lattes maps. We investigate when such a ... More

Length Function Compatibility for Group Actions on Real TreesAug 23 2017Aug 29 2017Let $G$ be a finitely generated group. Given two length functions $\ell$ and $m$ of irreducible $G$ actions on real trees $A$ and $B$, when is the point-wise sum $\ell + m$ again the length function of an irreducible $G$ action on a real tree? In this ... More

Uniform independence for Dehn twist automorphisms of a free groupSep 21 2017Sep 19 2018McCarthy's Theorem for the mapping class group of a closed hyperbolic surface states that for any two mapping classes $\sigma,\tau \in \mathrm{Mod}(S)$ there is some power $N$ such that the group $\langle \sigma^N,\tau^N\rangle$ is either free of rank ... More

A New Theory for Sketching in Linear RegressionOct 14 2018Large datasets create opportunities as well as analytic challenges. A recent development is to use random projection or sketching methods for dimension reduction in statistics and machine learning. In this work, we study the statistical performance of ... More

Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transitionDec 23 2011Apr 12 2012We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such inflation models, ... More

Curvature perturbation spectra from waterfall transition, black hole constraints and non-GaussianityJul 19 2011Oct 12 2011We carried out numerical calculations of a contribution of the waterfall field to the primordial curvature perturbation (on uniform density hypersurfaces) $\zeta$, which is produced during waterfall transition in hybrid inflation scenario. The calculation ... More

Type II Migration: Varying Planet Mass and Disc ViscosityJul 03 2008This paper continues an earlier study of giant planet migration, examining the effect of planet mass and disc viscosity on the migration rate. We find that the migration rate of a gap-opening planet varies systematically with the planet's mass, as predicted ... More

Reverse engineering time discrete finite dynamical systems: A feasible undertaking?Jun 21 2007With the advent of high-throughput profiling methods, interest in reverse engineering the structure and dynamics of biochemical networks is high. Recently an algorithm for reverse engineering of biochemical networks was developed by Laubenbacher and Stigler. ... More

Giant Planet Migration in Viscous Power-Law DiscsApr 03 2007Many extra-solar planets discovered over the past decade are gas giants in tight orbits around their host stars. Due to the difficulties of forming these `hot Jupiters' in situ, they are generally assumed to have migrated to their present orbits through ... More

Compiler Optimization: A Case for the Transformation Tool ContestNov 21 2011An optimizing compiler consists of a front end parsing a textual programming language into an intermediate representation (IR), a middle end performing optimizations on the IR, and a back end lowering the IR to a target representation (TR) built of operations ... More

Constraints on amplitudes of curvature perturbations from primordial black holesDec 22 2008May 12 2009We calculate the primordial black hole (PBH) mass spectrum produced from a collapse of the primordial density fluctuations in the early Universe using, as an input, several theoretical models giving the curvature perturbation power spectra with large ... More

Scattering theory and discrete-time quantum walksDec 08 2003Mar 31 2004We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are interested in walks that proceed from one half line, through the graph, to ... More

Timelike BKL singularities and chaos in AdS/CFTJan 11 2016Feb 10 2016We study the nature of a family of curvature singularities which are precisely the timelike cousins of the spacelike singularities studied by Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the singularity can be modeled by a billiard ... More

Understanding Human-Centric Images: From Geometry to FashionDec 14 2015Understanding humans from photographs has always been a fundamental goal of computer vision. In this thesis we have developed a hierarchy of tools that cover a wide range of topics with the objective of understanding humans from monocular RGB image: from ... More

Sparse-Group Bayesian Feature Selection Using Expectation Propagation for Signal Recovery and Network ReconstructionSep 25 2018We present a Bayesian method for feature selection in the presence of grouping information with sparsity on the between- and within group level. Instead of using a stochastic algorithm for parameter inference, we employ expectation propagation, which ... More

Robust Topological Feature Extraction for Mapping of Environments using Bio-Inspired Sensor NetworksOct 17 2014In this paper, we exploit minimal sensing information gathered from biologically inspired sensor networks to perform exploration and mapping in an unknown environment. A probabilistic motion model of mobile sensing nodes, inspired by motion characteristics ... More

Drops on an inclined heterogeneous substrate: onset of sliding motionMar 08 2006Pinning and depinning of drops on an inclined heterogeneous substrate is studied as a function of the inclination and heterogeneity amplitude. Two types of heterogeneity are considered: a hydrophobic defect that blocks the droplet in front, and a hydrophilic ... More

Voronoï summation via switching cuspsApr 03 2019We consider the Fourier expansion of a Hecke (resp.\ Hecke--Maa\ss) cusp form of general level $N$ at the various cusps of $\Gamma_{0}(N)\bs\Hb$. We explain how to compute these coefficients via the local theory of $p$-adic Whittaker functions and establish ... More

Distributed linear regression by averagingSep 30 2018Modern massive datasets pose an enormous computational burden to practitioners. Distributed computation has emerged as a universal approach to ease the burden: Datasets are partitioned over machines, which compute locally, and communicate short messages. ... More

An algebraic and graph theoretical framework to study monomial dynamical systems over a finite fieldNov 08 2007Jul 30 2008An n dimensional monomial dynamical system over a finite field K is a nonlinear deterministic time discrete dynamical system with the property that each of the n component functions is a monic nonzero monomial function in n variables. In this paper we ... More