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A joint ALMA-Bolocam-Planck SZ study of the pressure distribution in RX J1347.5-1145Dec 03 2018Jun 19 2019We report the joint analysis of single-dish and interferometric observations of the Sunyaev-Zeldovich (SZ) effect from the galaxy cluster RX J1347.5-1145. We have developed a parametric fitting procedure that uses native imaging and visibility data, and ... More

The Effect of Helium Sedimentation on Galaxy Cluster Masses and Scaling RelationsFeb 25 2011Jul 14 2011Recent theoretical studies predict that the inner regions of galaxy clusters may have an enhanced helium abundance due to sedimentation over the cluster lifetime. If sedimentation is not suppressed (e.g., by tangled magnetic fields), this may significantly ... More

Polynomial Invariants of Links in the Projective SpaceDec 10 2003The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be L_n, where L_n is an arbitrary link consisting of n projective lines for n>0, and L_0 ... More

Diagrammatic unknotting of knots and links in the projective spaceJul 31 2002Apr 23 2003In the classical knot theory there is a well-known notion of descending diagram. From an arbitrary diagram one can easily obtain, by some crossing changes, a descending diagram which is a diagram of the unknot or unlink. In this paper the notion of descending ... More

A joint ALMA-Bolocam-Planck SZ study of the pressure distribution in RX J1347.5-1145Dec 03 2018We report the joint analysis of single-dish and interferometric observations of the Sunyaev-Zeldovich (SZ) effect from the galaxy cluster RX J1347.5-1145. We have developed a parametric fitting procedure that uses native imaging and visibility data, and ... More

MAKO: a pathfinder instrument for on-sky demonstration of low-cost 350 micron imaging arraysNov 01 2012Submillimeter cameras now have up to $10^4$ pixels (SCUBA 2). The proposed CCAT 25-meter submillimeter telescope will feature a 1 degree field-of-view. Populating the focal plane at 350 microns would require more than $10^6$ photon-noise limited pixels. ... More

KBSM of the product of a disk with two holes and S^{1}Aug 27 2008We introduce diagrams and Reidemeister moves for links in FxS^{1}, where F is an orientable surface. Using these diagrams we compute (in a new way) the Kauffman Bracket Skein Modules (KBSM) for D^{2}xS^{1} and AxS^{1}, where D^{2} is a disk and A is an ... More

Reflectometry Measurements of the Loss Tangent in Silicon at Millimeter WavelengthsDec 10 2018We report here on measurements of the reflectivity and loss tangent measured in the W-band (80-125 GHz) and D-band (125-180 GHz) in two samples of float zone silicon with intrinsic stoichiometry - one irradiated by neutrons, which increases the resistivity ... More

First Generation Heterodyne Instrumentation Concepts for the Atacama Large Aperture Submillimeter TelescopeJul 08 2019(abridged) The Atacama Large Aperture Submillimeter Telescope (AtLAST) project aims to build a 50-m-class submm telescope with $>1^\circ$ field of view, high in the Atacama Desert, providing fast and detailed mapping of the mm/submm sky. It will thus ... More

Large Molecular Gas Reservoirs in Star Forming Cluster GalaxiesJul 17 2019We present CO(2-1) observations of 72 galaxies in the nearby, disturbed Antlia galaxy cluster with the Atacama Pathfinder Experiment (APEX) telescope. The galaxies in our sample are selected to span a wide range of stellar masses ($10^{8}M_{\odot}\lesssim ... More

Dirichlet problems on graphs with endsJun 24 2014In classical potential theory, one can solve the Dirichlet problem on unbounded domains such as the upper half plane. These domains have two types of boundary points; the usual finite boundary points and another point at infinity. W. Woess has solved ... More

A General Architecture for Heterogeneous Language Engineering and Projectional Editor SupportJun 10 2015Tool support for language engineering has typically prioritises concrete syntax over abstract syntax by providing meta-languages for expressing concrete syntax and then mapping concrete to abstract structures. Text-based languages are usually specified ... More

Separable time-causal and time-recursive spatio-temporal receptive fieldsApr 07 2015We present an improved model and theory for time-causal and time-recursive spatio-temporal receptive fields, obtained by a combination of Gaussian receptive fields over the spatial domain and first-order integrators or equivalently truncated exponential ... More

Families of genus two curves with many elliptic subcoversSep 03 2012We determine all genus 2 curves, defined over $\mathbb C$, which have simultaneously degree 2 and 3 elliptic subcovers. The locus of such curves has three irreducible 1-dimensional genus zero components in $\mathcal M_2$. For each component we find a ... More

Processing XML for Domain Specific LanguagesJun 10 2015XML is a standard and universal language for representing information. XML processing is supported by two key frameworks: DOM and SAX. SAX is efficient, but leaves the developer to encode much of the processing. This paper introduces a language for expressing ... More

Représentations modulo $p$ de $\mathrm{GL}(m,D)$, $D$ algèbre à division sur un corps localSep 16 2014This Ph.D. thesis belongs to the realm of mod $p$ representation theory of $p$-adic groups. The main object of study is the inner form of the general linear group $\mathrm{GL}(m,D)$ where $D$ is a division algebra over a non-Archimedean local field. The ... More

The dynamic pressure in deep-water extreme Stokes wavesSep 08 2017In this paper we consider the dynamic pressure in a deep-water extreme Stokes wave. While the presence of stagnation points introduces a number of mathematical complications, maximum principles are applied to analyse the dynamic pressure in the fluid ... More

Secure Two-party Protocols for Point Inclusion ProblemMay 29 2007It is well known that, in theory, the general secure multi-party computation problem is solvable using circuit evaluation protocols. However, the communication complexity of the resulting protocols depend on the size of the circuit that expresses the ... More

Orbits of Quaternionic Möbius TransformationsMay 31 2015M\"obius transformations of the extended complex plane are at the crossroads of many interesting topics, e.g., they form a group under composition, are the simplest form of rational function, and are a path to Lie theory. Quaternionic transformations ... More

Nearby cycles of parahoric shtukas, and a fundamental lemma for base changeNov 07 2017Jan 11 2019Using the Langlands-Kottwitz paradigm, we compute the trace of Frobenius composed with Hecke operators on the cohomology of nearby cycles, at places of parahoric reduction, of perverse sheaves on certain moduli stacks of shtukas. Inspired by an argument ... More

Effective Hasse principle for the intersection of two quadricsFeb 16 2016We consider a smooth system of two homogeneous quadratic equations over the rationals in at least 13 variables. In this case, the Hasse principle is known to hold, thanks to the work of Mordell in 1959. The only local obstruction is over the reals. In ... More

Deletion of oldest edges in a preferential attachment graphOct 14 2016We consider a variation on the Barab\'asi-Albert random graph process with fixed parameters $m\in \mathbb{N}$ and $1/2 < p < 1$. With probability $p$ a vertex is added along with $m$ edges, randomly chosen proportional to vertex degrees. With probability ... More

A Phase Space Approach to Gravitational EnropyJun 01 1999We examine the definition S = ln Omega as a candidate "gravitational entropy" function. We calculate its behavior for gravitationl and density perturbations in closed, open and flat cosmologies and find that in all cases it increases monotonically. Using ... More

Adaptive high-order splitting schemes for large-scale differential Riccati equationsDec 02 2016We consider high-order splitting schemes for large-scale differential Riccati equations. Such equations arise in many different areas and are especially important within the field of optimal control. In the large-scale case, it is critical to employ structural ... More

Graph Reachability and Pebble Automata over Infinite AlphabetsOct 12 2011Apr 10 2012Let D denote an infinite alphabet -- a set that consists of infinitely many symbols. A word w = a_0 b_0 a_1 b_1 ... a_n b_n of even length over D can be viewed as a directed graph G_w whose vertices are the symbols that appear in w, and the edges are ... More

The pressure distribution in extreme Stokes wavesJan 22 2016Jan 29 2016In this paper we prove that the pressure beneath an extreme Stokes wave over finite depth is strictly increasing with depth. Additionally it is shown that the pressure decreases in moving between a crest-line and trough-line, while it is stationary with ... More

Genus 2 fields with degree 3 elliptic subfieldsSep 21 2001In this paper we study genus 2 function fields K with degree 3 elliptic subfields. We show that the number of Aut(K)-classes of such subfields of K is 0,1,2, or 4. Also we compute an equation for the locus of such K in the moduli space of genus 2 curves. ... More

Ballistic-Ohmic quantum Hall plateau transition in graphene pn junctionAug 13 2009Nov 26 2009Recent quantum Hall experiments conducted on disordered graphene pn junction provide evidence that the junction resistance could be described by a simple Ohmic sum of the n and p mediums' resistances. However in the ballistic limit, theory predicts the ... More

On the Timescale for Star Formation in GalaxiesSep 11 2009The timescale for star formation, a measure of how quickly neutral gas is being converted to stars, is considerably longer than typical dynamical timescales associated with a galactic disk. For purposes of modeling galaxy evolution, however, it would ... More

Discrete approximations of the affine Gaussian derivative model for visual receptive fieldsJan 09 2017Dec 20 2017The affine Gaussian derivative model can in several respects be regarded as a canonical model for receptive fields over a spatial image domain: (i) it can be derived by necessity from scale-space axioms that reflect structural properties of the world, ... More

Provably scale-covariant networks from oriented quasi quadrature measures in cascadeMar 01 2019This article presents a continuous model for hierarchical networks based on a combination of mathematically derived models of receptive fields and biologically inspired computations. Based on a functional model of complex cells in terms of an oriented ... More

Singular value decay of operator-valued differential Lyapunov and Riccati equationsApr 06 2018Jun 25 2018We consider operator-valued differential Lyapunov and Riccati equations, where the operators $B$ and $C$ may be relatively unbounded with respect to $A$ (in the standard notation). In this setting, we prove that the singular values of the solutions decay ... More

On Pebble Automata for Data Languages with Decidable Emptiness ProblemOct 30 2009In this paper we study a subclass of pebble automata (PA) for data languages for which the emptiness problem is decidable. Namely, we introduce the so-called top view weak PA. Roughly speaking, top view weak PA are weak PA where the equality test is performed ... More

Shamir-Duduchava Factorization of Elliptic SymbolsMay 01 2017This paper considers the factorization of elliptic symbols which can be represented by matrix-valued functions. Our starting point is a \textit{Fundamental Factorization Theorem}, due to Budjanu and Gohberg. We critically examine the work of Shamir, together ... More

On the Role of Riemannian Metrics in Conformal and Quasiconformal GeometryOct 04 2011Oct 14 2013This article is the introductory part of authors PhD thesis. The article presents a new coordinate invariant definition of quasiregular and quasiconformal mappings on Riemannian manifolds that generalizes the definition of quasiregular mappings on $\R^n$. ... More

Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spacesJun 02 2012In this paper we give a natural condition for when a volumorphism on a Riemannian manifold $(M,g)$ is actually an isometry with respect to some other, optimal, Riemannian metric $h$. We consider the natural action of volumorphisms on the space $\M_\mu^s$ ... More

Nonthermal nature of extremal Kerr black holesJun 12 2000Mar 26 2001Liberati, Rothman and Sonego have recently showed that objects collapsing into extremal Reissner-Nordstrom black holes do not behave as thermal objects at any time in their history. In particular, a temperature, and hence thermodynamic entropy, are undefined ... More

An Alternating Property for Higher Brauer GroupsSep 23 2017Feb 04 2018Using the calculus of Steenrod operations in \'etale cohomology developed in [Feng17], we prove that the analogue of Tate's pairing on higher Brauer groups is alternating on 2-torsion. This improves upon a result of Jahn [Jahn15, Math. Annalen].

Etale Steenrod operations and the Artin-Tate pairingJun 01 2017Feb 05 2018We prove a 1966 conjecture of Tate concerning the Artin-Tate pairing on the Brauer group of a surface over a finite field, which is the analogue of the Cassels-Tate pairing. Tate asked if this pairing is always alternating and we find an affirmative answer, ... More

The pressure in a deep-water Stokes wave of greatest heightAug 27 2015In this paper we investigate the qualitative behaviour of the pressure function beneath an extreme Stokes wave over infinite depth. The presence of a stagnation point at the wave-crest of an extreme Stokes wave introduces a number of mathematical difficulties ... More

A LLT-like test for proving the primality of Fermat numbersMay 24 2007This paper provides a proof of a LLT-like test for Fermat numbers, based on the properties of Lucas Sequences and on the method of Lehmer.

The Dirichlet Problem for Harmonic Functions on Compact SetsApr 30 2010Jan 21 2011For any compact set $K\subset \mathbb{R}^n$ we develop the theory of Jensen measures and subharmonic peak points, which form the set $\mathcal{O}_K$, to study the Dirichlet problem on $K$. Initially we consider the space $h(K)$ of functions on $K$ which ... More

New High-Resolution Sunyaev-Zel'dovich Observations with GBT+MUSTANGJan 25 2011We present recent high angular resolution (9") Sunyaev-Zel'dovich effect (SZE) observations with MUSTANG, a 90-GHz bolometric receiver on the Green Bank Telescope. MUSTANG has now imaged several massive clusters of galaxies in some of the highest-resolution ... More

Radio Emission from Red-Giant Hot JupitersJan 20 2016Apr 18 2016When planet-hosting stars evolve off the main sequence and go through the red-giant branch, the stars become orders of magnitudes more luminous and, at the same time, lose mass at much higher rates than their main-sequence counterparts. Accordingly, if ... More

Peculiar Velocity Constraints from Five-Band SZ Effect Measurements Towards RX J1347.5-1145 with MUSIC and Bolocam from the CSOSep 09 2015Mar 01 2016We present Sunyaev-Zel'dovich (SZ) effect measurements from wide-field images towards the galaxy cluster RX J1347.5-1145 obtained from the Caltech Submillimeter Observatory with the Multiwavelength Submillimeter Inductance Camera (MUSIC) at 147, 213, ... More

The Physics of Galaxy Cluster OutskirtsOct 01 2018Jan 04 2019As the largest virialized structures in the universe, galaxy clusters continue to grow and accrete matter from the cosmic web. Due to the low gas density in the outskirts of clusters, measurements are very challenging, requiring extremely sensitive telescopes ... More

Kauffman bracket skein module of the connected sum of two projective spacesAug 05 2010Diagrams and Reidemeister moves for links in a twisted S^1-bundle over an unorientable surface are introduced. Using these diagrams, we compute the Kauffman Bracket Skein Module (KBSM) of the connected sum of two projective spaces. In particular, we show ... More

J1649+2635: A Grand-Design Spiral with a Large Double-Lobed Radio SourceOct 30 2014Dec 29 2014We report the discovery of a grand-design spiral galaxy associated with a double-lobed radio source. J1649+2635 (z = 0.0545) is a red spiral galaxy with a prominent bulge that it is associated with a L$_{1.4{\rm GHz}}\sim$10$^{24}$WHz$^{-1}$ double-lobed ... More

WSPEC: A waveguide filter-bank focal plane array spectrometer for millimeter wave astronomy and cosmologySep 15 2015Imaging and spectroscopy at (sub-)millimeter wavelengths are key frontiers in astronomy and cosmology. Large area spectral surveys with moderate spectral resolution (R=50-200) will be used to characterize large scale structure and star formation through ... More

Thermodynamic Profiles of Galaxy Clusters from a Joint X-ray/SZ AnalysisDec 14 2017We jointly analyze Bolocam Sunyaev-Zeldovich (SZ) effect and Chandra X-ray data for a set of 45 clusters to derive gas density and temperature profiles without using spectroscopic information. The sample spans the mass and redshift range $3 \times 10^{14} ... More

Wide Bandwidth Considerations for ALMA Band 2May 22 2019One of the main considerations in the ALMA Development Roadmap for the future of operations beyond 2030 is to at least double its on-sky instantaneous bandwidth capabilities. Thanks to the technological innovations of the past two decades, we can now ... More

The Atacama Cosmology Telescope: High-Resolution Sunyaev-Zel'dovich Array Observations of ACT SZE-selected Clusters from the Equatorial StripAug 16 2011We present follow-up observations with the Sunyaev-Zel'dovich Array (SZA) of optically-confirmed galaxy clusters found in the equatorial survey region of the Atacama Cosmology Telescope (ACT): ACT-CL J0022-0036, ACT-CL J2051+0057, and ACT-CL J2337+0016. ... More

Three-dimensional Multi-probe Analysis of the Galaxy Cluster A1689Mar 04 2015May 14 2015We perform a 3D multi-probe analysis of the rich galaxy cluster A1689 by combining improved weak-lensing data from new BVRi'z' Subaru/Suprime-Cam observations with strong-lensing, X-ray, and Sunyaev-Zel'dovich effect (SZE) data sets. We reconstruct the ... More

Imaging the Thermal and Kinematic Sunyaev-Zel'dovich Effect Signals in a Sample of Ten Massive Galaxy Clusters: Constraints on Internal Velocity Structures and Bulk VelocitiesDec 17 2018We have imaged the Sunyaev-Zel'dovich (SZ) effect signals at 140 and 270 GHz towards ten galaxy clusters with Bolocam and AzTEC/ASTE. We also used Planck data to constrain the signal at large angular scales, Herschel-SPIRE images to subtract the brightest ... More

Imaging the Thermal and Kinematic Sunyaev-Zel'dovich Effect Signals in a Sample of Ten Massive Galaxy Clusters: Constraints on Internal Velocity Structures and Bulk VelocitiesDec 17 2018Jun 25 2019We have imaged the Sunyaev-Zel'dovich (SZ) effect signals at 140 and 270 GHz towards ten galaxy clusters with Bolocam and AzTEC/ASTE. We also used Planck data to constrain the signal at large angular scales, Herschel-SPIRE images to subtract the brightest ... More

Confirmation of Enhanced Long Wavelength Dust Emission in OMC 2/3May 13 2019Previous continuum observations from the MUSTANG camera on the Green Bank Telescope (GBT) of the nearby star-forming filament OMC 2/3 found elevated emission at 3.3mm relative to shorter wavelength data. As a consequence, the inferred dust emissivity ... More

Finite element convergence analysis for the thermoviscoelastic Joule heating problemJun 01 2016We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector, temperature sensor ... More

Absolute Stability Limit for Relativistic Charged SpheresMay 30 2007Jun 01 2007We find an exact solution for the stability limit of relativistic charged spheres for the case of constant gravitational mass density and constant charge density. We argue that this provides an absolute stability limit for any relativistic charged sphere ... More

Can Gravitons Be Detected?Jan 11 2006Dec 02 2006Freeman Dyson has questioned whether any conceivable experiment in the real universe can detect a single graviton. If not, is it meaningful to talk about gravitons as physical entities? We attempt to answer Dyson's question and find it is possible concoct ... More

Cosmological Consequences of Spontaneous Lepton Number Violation in $SO(10)$ Grand Unification, EFI-93-07Feb 03 1993Cosmological constraints on grand unified theories with spontaneous lepton number violation are analysed. We concentrate on $SO(10)$, the simplest of the models possessing this property. It has been noted previously that the consistency of these models ... More

Gorenstein Approximation, Dual Filtrations and ApplicationsJul 03 2008We give a two step method to study certain questions regarding associated graded module of a Cohen-Macaulay (CM) module $M$ w.r.t an $\m$-primary ideal $\A$ in a complete Noetherian local ring $(A,\m)$. The first step, we call it Gorenstein approximation, ... More

A Phase Space Approach to the Gravitational Arrow of TimeDec 21 1996We attempt to find a function that characterizes gravitational clumping and that increases monotonically as inhomogeneity increases. We choose $S = ln\Omega$ as the candidate ``gravitational entropy'' function, where $\Omega$ is the phase-space volume ... More

Holographic Mixing QuantifiedJun 06 2007We compute the precise elementary/composite field content of mass eigenstates in holographic duals of warped models in a slice of AdS_5. This is accomplished by decomposing the bulk fields not in the usual Kaluza-Klein basis, but rather into a holographic ... More

On the field of moduli of superelliptic curvesJun 10 2016Oct 20 2016A superelliptic curve $\mathcal X$ of genus $g \geq 2$ is not necessarily defined over its field of moduli. While a lot of work has been done by many authors to determine which hyperelliptic curves are defined over their field of moduli, less is known ... More

Measuring the History of Cosmic Reionization using the 21-cm Difference PDFSep 25 2012During cosmic reionization, the 21-cm brightness fluctuations were highly non-Gaussian, and complementary statistics can be extracted from the distribution of pixel brightness temperatures that are not derivable from the 21-cm power spectrum. One such ... More

Approximating the Bethe partition functionDec 30 2013When belief propagation (BP) converges, it does so to a stationary point of the Bethe free energy $F$, and is often strikingly accurate. However, it may converge only to a local optimum or may not converge at all. An algorithm was recently introduced ... More

Thompson Sampling for Noncompliant BanditsDec 03 2018Thompson sampling, a Bayesian method for balancing exploration and exploitation in bandit problems, has theoretical guarantees and exhibits strong empirical performance in many domains. Traditional Thompson sampling, however, assumes perfect compliance, ... More

The automorphism group of the moduli space of semi stable vector bundlesJun 02 1993Let ${\cal S}{\cal U}(r, L_0)$ denote the moduli space of semi stable vector bundles of rank $r$ and fixed determinant $L_0$ of degree $d$ on a smooth curve $C$ of genus $g \geq 3$. In this paper we describe the group of automorphisms of $ {\cal S}{\cal ... More

CyberCampaigns and Canadian Politics: Still Waiting?Sep 24 2001The early election call in the fall of 2000 provided the perfect opportunity to study the impact the Internet has had on election campaigning in Canada. With the explosion of use the Net has seen since the 1997 general election, Canadian federal parties ... More

Realising Mutated Hilltop Inflation in SupergravityMay 12 2019We present $\mathcal{N}=1$ supergravity models of mutated hilltop inflation (MHI) for both large and small field sectors. Models with canonical kinetic terms are developed based on a shift symmetric K\"ahler potential in inflaton superfield, and with ... More

A New Class of Non-canonical Conformal Attractors for Multifield InflationOct 30 2018We propose a new broad class of multi-field non-canonical inflationary models as an extension of multi-field conformal cosmological attractors. This also generalizes the recently discovered class of non-canonical conformal attractors for single field ... More

De Rahm cohomology of local cohomology modules-The graded caseJul 09 2013Let $K$ be a field of characteristic zero, $R = K[X_1,...,X_n]$. Let $A_n(K) = K<X_1,...,X_n, \partial_1, ..., \partial_n>$ be the $n^{th}$ Weyl algebra over $K$. We consider the case when $R$ and $A_n(K)$ is graded by giving $\deg X_i = \omega_i $ and ... More

Solitons of shallow-water models from energy-dependent spectral problemsMay 14 2017The current work investigates the soliton solutions of the Kaup-Boussinesq equation using the Inverse Scattering Transform method. We outline the construction of the Riemann-Hilbert problem for a pair energy-dependent spectral problems for the system, ... More

Langlands duality for Hitchin systemsApr 28 2006Dec 22 2011We show that the Hitchin integrable system for a simple complex Lie group $G$ is dual to the Hitchin system for the Langlands dual group $\lan{G}$. In particular, the general fiber of the connected component $\Higgs_0$ of the Hitchin system for $G$ is ... More

On the field of moduli of superelliptic curvesJun 10 2016Jun 17 2019A superelliptic curve $\X$ of genus $g\geq 2$ is not necessarily defined over its field of moduli but it can be defined over a quadratic extension of it. While a lot of work has been done by many authors to determine which hyperelliptic curves are defined ... More

Growth of Hilbert coefficients of Syzygy modulesJan 29 2015Let $(A,\mathfrak{m})$ be a complete intersection ring of dimension $d$ and let $I$ be an $\mathfrak{m}$-primary ideal. Let $M$ be a maximal \CM \ $A$-module. For $i = 0,1,\cdots,d$, let $e_i^I(M)$ denote the $i^{th}$ Hilbert -coefficient of $M$ with ... More

Comment: Microarrays, Empirical Bayes and the Two-Group ModelAug 05 2008Comment on ``Microarrays, Empirical Bayes and the Two-Group Model'' [arXiv:0808.0572]

The Cohen-Macaulay Property of Affine Semigroup Rings in Dimension 2Feb 18 2016Let $k$ be a field and $x,y$ indeterminates over $k$. Let $R=k[x^a,x^{p_1}y^{s_1},\ldots,x^{p_t}y^{s_t},y^b] \subseteq k[x,y]$. We calculate the Hilbert polynomial of $(x^a,y^b)$. The multiplicity of this ideal provides part of a criterion for the ring ... More

Finite F-type and F-abundant modulesMar 01 2016In this note we introduce and study basic properties of two types of modules over a commutative noetherian ring $R$ of positive prime characteristic. The first is the category of modules of finite $F$-type. These objects include reflexive ideals representing ... More

How much of the Solar System should we leave as Wilderness?May 24 2019"How much of the Solar System should we reserve as wilderness, off-limits to human development?" We argue that, as a matter of policy, development should be limited to one eighth, with the remainder set aside. We argue that adopting a "1/8 principle" ... More

Coloring tournaments with forbidden substructuresApr 05 2015Coloring graphs is an important algorithmic problem in combinatorics with many applications in computer science. In this paper we study coloring tournaments. A chromatic number of a random tournament is of order $\Omega(\frac{n}{\log(n)})$. The question ... More

Gravity-Mediated Supersymmetry Breaking in the Brane WorldOct 02 2001Jan 04 2002We study the transmission of supersymmetry breaking via gravitational interactions in a five-dimensional brane-world compactified on $S^1/Z_2$. We assume that chiral matter and gauge fields are confined at the orbifold fixed points, where supersymmetry ... More

Hitchin's Equations and M-Theory PhenomenologyMay 13 2009Phenomenological compactifications of M-theory involve 7-manifolds with G_2 holonomy and various singularities. Here we study local geometries with such singularities, by thinking of them as compactifications of 7d supersymmetric Yang-Mills theory on ... More

Electronic transport properties of a tilted graphene pn junctionMay 05 2009Oct 03 2009Spatial manipulation of current flow in graphene could be achieved through the use of a tilted pn junction. We show through numerical simulation that a pseudo-Hall effect (i.e. non-equilibrium charge and current density accumulating along one of the sides ... More

Bohm Confirmed by NonRelativistic Quark ModelJun 06 1998The effectiveness of the NonRelativistic Quark Model of hadrons can be explained by Bohm's quantum theory applied to a fermion confined in a box, in which the fermion is at rest because its kinetic energy is transformed into PSI-field potential energy. ... More

Classical capacity of quantum channels with general Markovian correlated noiseDec 05 2007The classical capacity of a quantum channel with arbitrary Markovian correlated noise is evaluated. For the general case of a channel with long-term memory, which corresponds to a Markov chain which does not converge to equilibrium, the capacity is expressed ... More

Initialization and Coordinate Optimization for Multi-way MatchingNov 02 2016We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it, but end up with ... More

A Quantum Computational Learning AlgorithmJul 18 1998An interesting classical result due to Jackson allows polynomial-time learning of the function class DNF using membership queries. Since in most practical learning situations access to a membership oracle is unrealistic, this paper explores the possibility ... More

Yang-Mills Localization in Warped SpaceNov 28 2006We present a mechanism to localize zero mode non-Abelian gauge fields in a slice of AdS_5. As in the U(1) case, bulk and boundary mass terms allow for a massless mode with an exponential profile that can be localized anywhere in the bulk. However in the ... More

Finite element convergence analysis for the thermoviscoelastic Joule heating problemJun 01 2016Nov 02 2016We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector, temperature sensor ... More

Graded components of local cohomology modulesJan 05 2017Feb 15 2017Let $A$ be a regular ring containing a field of characteristic zero and let $R = A[X_1,\ldots, X_m]$. Consider $R$ as standard graded with $deg \ A = 0$ and $deg \ X_i = 1$ for all $i$. In this paper we present a comprehensive study of graded components ... More

Identifying Stars of Mass >150 Msun from Their Eclipse by a Binary CompanionJun 05 2012We examine the possibility that very massive stars greatly exceeding the commonly adopted stellar mass limit of 150 Msun may be present in young star clusters in the local universe. We identify ten candidate clusters, some of which may host stars with ... More

Computing heights on weighted projective spacesJan 18 2018Aug 30 2018In this note we extend the concept height on projective spaces to that of weighted height on weighted projective spaces and show how such a height can be computed. We prove some of the basic properties of the weighted height and show how it can be used ... More

Torus fibrations, gerbes, and dualityJun 13 2003Nov 30 2004Let X be a smooth elliptic fibration over a smooth base B. Under mild assumptions, we establish a Fourier-Mukai equivalence between the derived categories of two objects, each of which is an O^* gerbe over a genus one fibration which is a twisted form ... More

Non-canonical Conformal Attractors for Single Field InflationMar 21 2017Jul 21 2017We extend the idea of conformal attractors in inflation to non-canonical sectors by developing a non-canonical conformally invariant theory from two different approaches. In the first approach, namely, ${\cal N}=1$ supergravity, the construction is more ... More

The Mathematical Parallels Between Packet Switching and Information TransmissionOct 10 2006Nov 22 2006All communication networks comprise of transmission systems and switching systems, even though they are usually treated as two separate issues. Communication channels are generally disturbed by noise from various sources. In circuit switched networks, ... More

Local cohomology modules of invariant ringsOct 17 2013Feb 25 2014Let $K$ be a field and let $R$ be a regular domain containing $K$. Let $G$ be a finite subgroup of the group of automorphisms of $R$. We assume that $|G|$ is invertible in $K$. Let $R^G$ be the ring of invariants of $G$. Let $I$ be an ideal in $R^G$. ... More

Reduction of binary forms via the hyperbolic center of massMay 07 2017In this paper we provide an alternative reduction theory for real, binary forms with no real roots. Our approach is completely geometric, making use of the notion of hyperbolic center of mass in the upper half-plane. It appears that our model compares ... More

An elementary proof of Grothendieck's Non-vanishing TheoremOct 31 2007Jun 18 2008We give an elementary proof of Grothendieck's non-vanishing Theorem: For a finitely generated non-zero module $M$ over a Noetherian local ring $A$ with maximal ideal $\m$, the local cohomology module $H^{\dim M}_{\m}(M)$ is non-zero.

Green functions, the fine topology and restoring coveringsDec 17 2010There are several equivalent ways to define continuous harmonic functions $H(K)$ on a compact set $K$ in $\mathbb R^n$. One may let $H(K)$ be the unform closures of all functions in $C(K)$ which are restrictions of harmonic functions on a neighborhood ... More