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Dissipation-induced anomalous multicritical phenomenaDec 27 2017Sep 17 2018We explore the influence of dissipation on a paradigmatic driven-dissipative model where a collection of two level atoms interact with both quadratures of a quantum cavity mode. The closed system exhibits multiple phase transitions involving discrete ... More

Substrate-induced topological mini-bands in grapheneMay 27 2018Jul 17 2018The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise from superlattice ... More

Proposal for detecting nodal-line semimetal surface-states with resonant spin-flipped reflectionJan 31 2018Oct 01 2018Topological nodal-line semimetals are predicted to exhibit unique drumhead-like surface states (DSS). Yet, a direct detection of such states remains a challenge. Here, we propose spin-resolved transport in a junction between a normal metal and a spin-orbit ... More

Sensing electrons during an adiabatic coherent transport passageJan 29 2019We study the detection of electrons undergoing coherent transfer via adiabatic passage (CTAP) in a triple quantum-dot system with a quantum point-contact sensing the change of the middle dot. In the ideal scenario, the protocol amounts to perfect change ... More

Dynamical many-body phases of the parametrically driven, dissipative Dicke modelJan 28 2015The dissipative Dicke model exhibits a fascinating out-of-equilibrium many-body phase transition as a function of a coupling between a driven photonic cavity and numerous two-level atoms. We study the effect of a time-dependent parametric modulation of ... More

Tunneling into a finite Luttinger liquid coupled to noisy capacitive leadsSep 05 2018Tunneling spectroscopy of one-dimensional interacting wires can be profoundly sensitive to the boundary conditions of the wire. Here, we analyze the tunneling spectroscopy of a wire coupled to capacitive metallic leads. Strikingly, with increasing many-body ... More

Topological Equivalence between the Fibonacci Quasicrystal and the Harper ModelApr 16 2012Sep 13 2012One-dimensional quasiperiodic systems, such as the Harper model and the Fibonacci quasicrystal, have long been the focus of extensive theoretical and experimental research. Recently, the Harper model was found to be topologically nontrivial. Here, we ... More

Enhanced compressibility due to repulsive interaction in the Harper modelNov 19 2013We study the interplay between repulsive interaction and an almost staggered on-site potential in one-dimension. Specifically, we address the Harper model for spinless fermions with nearest-neighbor repulsion, close to half-filling. Using density matrix ... More

Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological EffectsFeb 19 2019May 02 2019New materials such as nodal-line semimetals offer a unique setting for novel transport phenomena. Here, we calculate the quantum correction to conductivity in a disordered nodal-line semimetal. The torus-shaped Fermi surface and encircled $\pi$ Berry ... More

Comment on "Topological equivalence of crystal and quasicrystal band structures"Aug 11 2013Madsen et al. [arXiv:1307.2577] claim that one-dimensional insulating crystals and one-dimensional insulating quasicrystals are topologically equivalent and, thus, trivial. In this comment, we clarify that in topological classification of one-dimensional ... More

Four-Dimensional Quantum Hall Effect in a Two-Dimensional QuasicrystalFeb 11 2013Nov 25 2013One-dimensional (1D) quasicrystals exhibit physical phenomena associated with the 2D integer quantum Hall effect. Here, we transcend dimensions and show that a previously inaccessible phase of matter --- the 4D integer quantum Hall effect --- can be incorporated ... More

Charge sensing amplification via weak values measurementSep 23 2010Feb 24 2011A protocol employing weak values (WVs) to obtain ultra sensitive amplification of weak signals in the context of a solid state setup is proposed. We consider an Aharonov-Bohm interferometer where both the orbital and the spin degrees of freedom are weakly ... More

Measuring cotunneling in its wakeMar 24 2014Nov 26 2014We introduce a rate formalism to treat classically forbidden electron transport through a quantum dot (cotunneling) in the presence of a coupled measurement device. We demonstrate this formalism for a toy model case of cotunneling through a single-level ... More

Standard and Null Weak ValuesApr 05 2013Weak value (WV) is a quantum mechanical measurement protocol, proposed by Aharonov, Albert, and Vaidman. It consists of a weak measurement, which is weighed in, conditional on the outcome of a later, strong measurement. Here we define another two-step ... More

Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurementsAug 08 2007Jan 25 2008We discuss a measurement-based implementation of a controlled-NOT (CNOT) quantum gate. Such a gate has recently been discussed for free electron qubits. Here we extend this scheme for qubits encoded in product states of two (or more) spins-1/2 or in equivalent ... More

Null weak values in multi-level systemsApr 05 2013A two-step measurement protocol of a quantum system, known as weak value (WV), has been introduced more than two decades ago by Aharonov et al. [1], and has since been studied in various contexts. Here we discuss another two-step measurement protocol ... More

Many-body manifestation of interaction-free measurement: the Elitzur-Vaidman bombDec 03 2015We consider an implementation of the Elitzur-Vaidman bomb experiment in a DC-biased electronic Mach-Zehnder interferometer with a leakage port on one of its arms playing the role of a "lousy bom". Many-body correlations tend to screen out manifestations ... More

The 6D quantum Hall effect and 3D topological pumpsApr 05 2018Oct 23 2018Modern technological advances allow for the study of systems with additional synthetic dimensions. Using such approaches, higher-dimensional physics that was previously deemed to be of purely theoretical interest has now become an active field of research. ... More

Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological EffectsFeb 19 2019New materials such as nodal-line semimetals offer a unique setting for novel transport phenomena. Here, we calculate the quantum correction to conductivity in a disordered nodal-line semimetal. The torus-shaped Fermi surface and encircled $\pi$ Berry ... More

Electron configuration of the [FeO](2+) group in the H-abstraction from methane: oxyl versus ferrylMay 03 2018This account presents author's opinion on the mechanism of the H-abstraction from methane by the [FeO](2+) group. In the course of reaction with hydrogen, the Fe-O bond in the ferryl configuration becomes elongated causing transfer of the spin-up electron ... More

Hanbury Brown and Twiss Correlations in Quantum Hall SystemsSep 25 2013Jan 03 2014We study a Hanbury Brown and Twiss (HBT) interferometer formed with chiral edge channels of a quantum Hall system. HBT cross-correlations are calculated for a device operating both in the integer and fractional quantum Hall regimes, the latter at Laughlin ... More

A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical SuperlatticeJul 08 2015More than 30 years ago, Thouless introduced the concept of a topological charge pump that would enable the robust transport of charge through an adiabatic cyclic evolution of the underlying Hamiltonian. In contrast to classical transport, the transported ... More

A quantum transducer using a parametric driven-dissipative phase transitionJan 10 2019We study a dissipative Kerr-resonator subject to both single- and two-photon detuned drives. Beyond a critical detuning threshold, the Kerr resonator exhibits a semiclassical first-order dissipative phase transition between two different steady-states, ... More

Ultrasensitive hysteretic force sensing with parametric nonlinear oscillatorsMar 24 2016We propose a novel method for linear detection of weak forces using parametrically driven nonlinear resonators. The method is based on a peculiar feature in the response of the resonator to a near resonant periodic external force. This feature stems from ... More

Four-Dimensional Quantum Hall Effect with Ultracold AtomsMay 17 2015Jan 29 2016We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accomplished through controlled transitions between internal states of atoms arranged ... More

Topological States and Adiabatic Pumping in QuasicrystalsSep 27 2011Sep 17 2012The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit ... More

Fluctuation induced attraction between adhesion sites of supported membranesMar 07 2010We use scaling arguments and coarse grained Monte Carlo simulations to study the fluctuation mediated interactions between a pair of adhesion sites of a bilayer membrane and a supporting surface. We find that the potential of mean force is an infinitely ... More

Hanbury-Brown and Twiss interference of anyonsApr 10 2012Aug 20 2012We present a study of an Hanbury Brown and Twiss (HBT) interferometer realized with anyons. Such a device can directly probe entanglement and fractional statistics of initially uncorrelated particles. We calculate HBT cross-correlations of Abelian Laughlin ... More

Topological Pumping over a Photonic Fibonacci QuasicrystalMar 27 2014Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. Charge pumping -- one of the hallmarks of topological states of matter -- was recently realized for photons in a one-dimensional (1D) off-diagonal Harper ... More

Transport spectroscopy of singlet-triplet quantum dot states coupled to electronic cavitiesDec 12 2016Jan 19 2018A strong coupling between an electronic cavity and a quantum dot has been recently demonstrated [Phys. Rev. Lett. 115, 166603 (2015)] and described in a comprehensive theoretical framework [Phys. Rev. B 96, 235431 (2017)]. Here, we focus on the signatures ... More

Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall systemMay 23 2017When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direction: this is known as the quantum Hall (QH) effect. This effect is a result ... More

"Water-free" computer model for fluid bilayer membranesApr 09 2003We use a simple and efficient computer model to investigate the physical properties of bilayer membranes. The amphiphilic molecules are modeled as short rigid trimers with finite range pair interactions between them. The pair potentials have been designed ... More

Langevin thermostat for robust configurational and kinetic samplingMar 07 2019We reformulate the algorithm of Gr{\o}nbech-Jensen and Farago (GJF) for Langevin dynamics simulations at constant temperature. The GJF algorithm has become increasingly popular in molecular dynamics simulations because it provides robust (i.e., insensitive ... More

Stress-constrained continuum topology optimization: a new approach based on elasto-plasticityAug 23 2016A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This is achieved ... More

Information Theoretic Approach to Social NetworksJul 30 2014We propose an information theoretic model for sociological networks. The model is a microcanonical ensemble of states and particles. The states are the possible pairs of nodes (i.e. people, sites and alike) which exchange information. The particles are ... More

Hyperfinite graph limitsNov 24 2007G\'abor Elek introduced the notion of a hyperfinite graph family: a collection of graphs is hypefinite if for every $\epsilon>0$ there is some finite $k$ such that each graph $G$ in the collection can be broken into connected components of size at most ... More

Conformally invariant scaling limits (an overview and a collection of problems)Feb 08 2006Feb 10 2006Many mathematical models of statistical physics in two dimensions are either known or conjectured to exhibit conformal invariance. Over the years, physicists proposed predictions of various exponents describing the behavior of these models. Only recently ... More

A percolation formulaJul 13 2001Jul 30 2001Let $A$ be an arc on the boundary of the unit disk $U$. We prove an asymptotic formula for the probability that there is a percolation cluster $K$ for critical site percolation on the triangular grid in $U$ which intersects $A$ and such that 0 is surrounded ... More

Membrane fluctuations near a plane rigid surfaceOct 23 2008We use analytical calculations and Monte Carlo simulations to determine the thermal fluctuation spectrum of a membrane patch of a few tens of nanometer in size, whose corners are located at a fixed distance $d$ above a plane rigid surface. Our analysis ... More

A Note on Koldobsky's Lattice Slicing InequalityAug 17 2016$ \newcommand{\R}{{\mathbb{R}}} \newcommand{\Z}{{\mathbb{Z}}} \renewcommand{\vec}[1]{{\mathbf{#1}}} $We show that if $K \subset \R^d$ is an origin-symmetric convex body, then there exists a vector $\vec{y} \in \Z^d$ such that \begin{align*} |K \cap \Z^d ... More

Different measures for characterizing the motion of molecules along a temperature gradientMay 22 2019We study the motion of a Brownian particle in a medium with inhomogeneous temperature. In the overdamped regime of low Reynolds numbers, the probability distribution function (PDF) of the particle is obtained from the van Kampen diffusion equation [J. ... More

Nonequilibrium effects in the tunneling conductance spectra of small metallic particlesDec 18 1998The tunneling spectra of small metallic grains shows an unusual structure of the differential conductance peaks. Namely, resonance peaks appear in clusters, or develop substructure as the the gate voltage is changed. These features are manifestations ... More

Mode excitation Monte Carlo simulations of mesoscopically large membranesApr 09 2008Solvent-free coarse grained models represent one of the most promising approaches for molecular simulations of mesoscopically large membranes. In these models, the size of the simulated membrane is limited by the slow relaxation time of longest bending ... More

Mechanical surface tension governs membrane thermal fluctuationsNov 01 2011Motivated by the still ongoing debate about the various possible meanings of the term surface tension of bilayer membranes, we present here a detailed discussion that explains the differences between the "intrinsic", "renormalized", and "mechanical" tensions. ... More

Scaling limits of loop-erased random walks and uniform spanning treesApr 05 1999Apr 18 1999The uniform spanning tree (UST) and the loop-erased random walk (LERW) are related probabilistic processes. We consider the limits of these models on a fine grid in the plane, as the mesh goes to zero. Although the existence of scaling limits is still ... More

Testing Bipartitness in an Augmented VDF Bounded-Degree Graph ModelMay 08 2019In a recent work (ECCC, TR18-171, 2018), we introduced models of testing graph properties in which, in addition to answers to the usual graph-queries, the tester obtains {\em random vertices drawn according to an arbitrary distribution $D$}. Such a tester ... More

Paired Orbitals for Different Spins equationsApr 07 2008Eigenvalue-type equations for Lowdin-Amos-Hall spin-paired (corresponding) orbitals are developed to provide an alternative to the standard spin-polarized Hartree-Fock or Kohn-Sham equations. Obtained equations are non-canonical unrestricted Hartree-Fock-type ... More

Algorithmic Verification of Continuous and Hybrid SystemsFeb 27 2014We provide a tutorial introduction to reachability computation, a class of computational techniques that exports verification technology toward continuous and hybrid systems. For open under-determined systems, this technique can sometimes replace an infinite ... More

A diagrammatic approach for open chaotic systemsJun 24 1999A semiclassical diagrammatic approach is constructed for calculating correlation functions of observables in open chaotic systems with time reversal symmetry. The results are expressed in terms of classical correlation functions involving Wigner representations ... More

Viscous fingering in volatile thin filmsSep 02 2008Feb 23 2009A thin water film on a cleaved mica substrate undergoes a first order phase transition between two values of film thickness. By inducing a finite evaporation rate of the water, the interface between the two phases develops a fingering instability similar ... More

Statistics of photodissociation spectra: nonuniversal propertiesDec 15 1998Jul 28 1999We consider the two-point correlation function of the photodissociation cross section in molecules where the fragmentation process is indirect, passing through resonances above the dissociation threshold. In the limit of overlapping resonances, a formula ... More

Statistical thermodynamics of adhesion points in supported membranesJul 26 2011Supported lipid membranes are useful and important model systems for studying cell membrane properties and membrane mediated processes. One attractive application of supported membranes is the design of phantom cells exhibiting well defined adhesive properties ... More

Compositions of random transpositionsApr 20 2004Jul 04 2007Let $Y=(y_1,y_2,...)$, $y_1\ge y_2\ge...$, be the list of sizes of the cycles in the composition of $c n$ transpositions on the set $\{1,2,...,n\}$. We prove that if $c>1/2$ is constant and $n\to\infty$, the distribution of $f(c)Y/n$ converges to PD(1), ... More

Combinatorically Prescribed Packings and Applications to Conformal and Quasiconformal MapsSep 05 2007The Andreev-Thurston Circle Packing Theorem is generalized to packings of convex bodies in planar simply connected domains. This turns out to be a useful tool for constructing conformal and quasiconformal mappings with interesting geometric properties. ... More

Observation of Topological Phase Transitions in Photonic QuasicrystalsNov 19 2012Feb 15 2013Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In quasicrystals, the ... More

Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physicsOct 13 2015Apr 23 2016Recent technological advances in integrated photonics have spurred on the study of topological phenomena in engineered bosonic systems. Indeed, the controllability of silicon ring-resonator arrays has opened up new perspectives for building lattices for ... More

Long-range spin-coherence in a strongly-coupled all electronic dot-cavity systemMay 31 2017Jan 19 2018We present a theoretical analysis of spin-coherent electronic transport across a mesoscopic dot-cavity system. Such spin-coherent transport has been recently demonstrated in an experiment with a dot-cavity hybrid implemented in a high-mobility two-dimensional ... More

Quantum interference of topological states of lightApr 24 2019Topological insulators are materials that have a gapped bulk energy spectrum, but contain protected in-gap states appearing at their surface. These states exhibit remarkable properties such as unidirectional propagation and robustness to noise that offer ... More

Non-quantized square-root topological insulators: a realization in photonic Aharonov-Bohm cagesMay 14 2018Topological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized non-local property commonly manifests through exotic bulk phenomena and corresponding robust boundary ... More

Measurement back-action in stacked graphene quantum dotsFeb 27 2016We present an electronic transport experiment in graphene where both classical and quantum mechanical charge detector back-action on a quantum dot are investigated. The device consists of two stacked graphene quantum dots separated by a thin layer of ... More

Classical many-body time crystalsMar 06 2019Discrete time crystals are a many-body state of matter where the extensive system's dynamics are slower than the forces acting on it. Nowadays, there is a growing debate regarding the specific properties required to demonstrate such a many-body state, ... More

Anion-radical oxygen centers in small (AgO)n clusters: density functional theory predictionsDec 04 2012Anion-radical form of the oxygen centers O(-) is predicted at the DFT level for small silver oxide particles having the AgO stoichiometry. Model clusters (AgO)n appear to be ferromagnetic with appreciable spin density at the oxygen centers. In contrast ... More

Null Values and Quantum State DiscriminationMay 17 2012Apr 27 2013We present a measurement protocol for discriminating between two different quantum states of a qubit with high fidelity. The protocol, called null value, is comprised of a projective measurement performed on the system with a small probability (also known ... More

Average kissing numbers for non-congruent sphere packingsMay 13 1994The Koebe circle packing theorem states that every finite planar graph can be realized as the nerve of a packing of (non-congruent) circles in R^3. We investigate the average kissing number of finite packings of non-congruent spheres in R^3 as a first ... More

Using Interactive Information Labels to Assist Decision Making Under Uncertainty: The Case for Long-term SavingJul 17 2015Jan 20 2016Product information labels can help users understand complex information leading them to make better decisions. One area where consumers are particularly prone to make costly decision-making errors is long-term saving, which requires understanding of ... More

Nucleosynthesis of r-Process Elements by Jittering Jets in Core-Collapse SupernovaeOct 03 2011Nov 30 2011We calculate the nucleosynthesis inside the hot bubble formed in the jittering-jets model for core collapse supernovae (CCSNe) explosions, and find the formation of several times 10^-4 M_\odot of r-process elements. In the jittering-jets model fast jets ... More

Projecting the Kondo Effect: Theory of the Quantum MirageJun 28 2000Jan 11 2001A microscopic theory is developed for the projection (quantum mirage) of the Kondo resonance from one focus of an elliptic quantum corral to the other focus. The quantum mirage is shown to be independent of the size and the shape of the ellipse, and experiences ... More

The leading Ruelle resonances of chaotic mapsMay 16 2000The leading Ruelle resonances of typical chaotic maps, the perturbed cat map and the standard map, are calculated by variation. It is found that, excluding the resonance associated with the invariant density, the next subleading resonances are, approximately, ... More

On the scaling limits of planar percolationJan 30 2011Dec 28 2011We prove Tsirelson's conjecture that any scaling limit of the critical planar percolation is a black noise. Our theorems apply to a number of percolation models, including site percolation on the triangular grid and any subsequential scaling limit of ... More

Statistical mechanics of bilayer membrane with a fixed projected areaJul 09 2003The equilibrium and fluctuation methods for determining the surface tension, $\sigma$, and bending modulus, $\kappa$, of a bilayer membrane with a fixed projected area are discussed. In the fluctuation method the elastic coefficients $\sigma$ and $\kappa$ ... More

Elasticity of Gaussian and nearly-Gaussian phantom networksJun 01 2000We study the elastic properties of phantom networks of Gaussian and nearly-Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. ... More

Coarse grained molecular simulations of membrane adhesion domainsJun 22 2014We use a coarse grained molecular model of supported lipid bilayers to study the formation of adhesion domains. We find that this process is a first order phase transition, triggered by a combination of pairwise short range attractive interactions between ... More

Duty-ratio of cooperative molecular motorsJan 22 2012Molecular motors are found throughout the cells of the human body, and have many different and important roles. These micro-machines move along filament tracks, and have the ability to convert chemical energy into mechanical work that powers cellular ... More

A Counterexample to Monotonicity of Relative Mass in Random WalksJun 29 2015Dec 13 2015For a finite undirected graph $G = (V,E)$, let $p_{u,v}(t)$ denote the probability that a continuous-time random walk starting at vertex $u$ is in $v$ at time $t$. In this note we give an example of a Cayley graph $G$ and two vertices $u,v \in G$ for ... More

Casimir forces in a T operator approachJul 26 2007Dec 21 2008We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators, as presented in Kenneth and Klich, Phys. Rev. Lett. 97, 160401 (2006). We study the convergence properties of the ... More

Quantum Polynomial FunctorsApr 05 2015May 20 2016We construct a category of quantum polynomial functors which deforms Friedlander and Suslin's category of strict polynomial functors. The main aim of this paper is to develop from first principles the basic structural properties of this category (duality, ... More

An elementary introduction to the geometry of quantum states with a picture bookJan 20 2019Feb 03 2019This is a review of the geometry of quantum states using elementary methods and pictures. Quantum states are represented by a convex body, often in high dimensions. In the case of n-qubits, the dimension is exponentially large in n. The space of states ... More

Statistical physics of power fluctuations in mode locked lasersDec 14 2008We present an analysis of the power fluctuations in the statistical steady state of a passively mode locked laser. We use statistical light-mode theory to map this problem to that of fluctuations in a reference equilibrium statistical physics problem, ... More

Impact Dynamics of Moons Within a Planetary PotentialApr 03 2019Apr 04 2019Current lunar origin scenarios suggest that Earth's Moon may have resulted from the merger of two (or more) smaller moonlets. Dynamical studies of multiple moons find that these satellite systems are not stable, resulting in moonlet collision or loss ... More

Categorification and Heisenberg doubles arising from towers of algebrasSep 10 2013Sep 25 2014The Grothendieck groups of the categories of finitely generated modules and finitely generated projective modules over a tower of algebras can be endowed with (co)algebra structures that, in many cases of interest, give rise to a dual pair of Hopf algebras. ... More

Polynomial representations and categorifications of Fock SpaceJan 12 2011Aug 29 2012The rings of symmetric polynomials form an inverse system whose limit, the ring of symmetric functions, is the model for the bosonic Fock space representation of the affine Lie algebra. We categorify this construction by considering an inverse limit of ... More

Controlling the Electronic Properties of Nanodiamonds Via Surface Chemical Functionalization: A DFT StudySep 16 2013The electronic properties of chemically functionalized nanodiamonds are studied using density functional theory calculations. HOMO-LUMO gap and relative stabilities are calculated for different surface functionalization schemes and diamond nanocrystal ... More

Entropic Elasticity at the Sol-Gel TransitionMay 24 2001The sol-gel transition is studied in two purely entropic models consisting of hard spheres in continuous three-dimensional space, with a fraction $p$ of nearest neighbor spheres tethered by inextensible bonds. When all the tethers are present ($p=1$) ... More

The Elastic Behavior of Entropic "Fisherman's Net"Apr 17 2000A new formalism is used for a Monte Carlo determination of the elastic constants of a two-dimensional net of fixed connectivity. The net is composed of point-like atoms each of which is tethered to six neighbors by a bond limiting the distance between ... More

Entropic attraction of adhesion bonds toward cell boundariesOct 20 2011Nov 09 2011Adhesion bonds between membranes and surfaces are attracted to each other via effective interactions whose origin the entropy loss due to the reduction in the amplitude of the membrane thermal fluctuations in the vicinity of the adhesion bonds. These ... More

Pseudo-boundaries in discontinuous 2-dimensional mapsFeb 03 1997It is known that Kolmogorov-Arnold-Moser boundaries appear in sufficiently smooth 2-dimensional area-preserving maps. When such boundaries are destroyed, they become pseudo-boundaries. We show that pseudo-boundaries can also be found in discontinuous ... More

A relativistically exact Eikonal equation for optical fibers with application to adiabatically deforming ring interferometersMay 16 2016Sep 27 2016We derive the relativistically exact Eikonal equation for ring interferometers undergoing deformations. For ring interferometers that undergo slow deformation we describe the two leading terms in the adiabatic expansion of the phase shift. The leading ... More

Surface tank-treading: propulsion of Purcell's toroidal swimmerSep 07 2007In this work we address the "smoking ring" propulsion technique, originally proposed by E. M. Purcell. We first consider self-locomotion of a doughnut-shaped swimmer powered by surface tank-treading. Different modes of surface motion are assumed and propulsion ... More

A New Variant of the Casimir Effect and Its Exact EvaluationFeb 20 1998A new version of the Casimir effect where the two plates conduct in specific, different, directions is considered. By direct functional integration the evaluation of the Casimir energy as a function of the angle between the conduction directions is reduced ... More

Biased transport of elastic cytoskeletal filaments with alternating polarities by molecular motorsMay 13 2010We present a simple model for the bidirectional dynamics of actin bundles with alternating polarities in gliding assays with non-processive myosin motors. In the model, the bundle is represented as an elastic chain consisting of monomers with positive ... More

Exploding Core-Collapse Supernovae with Jittering JetsMar 08 2011We argue that jittering jets, i.e., jets that have their launching direction rapidly change, launched by the newly formed neutron star in a core collapse supernova can explode the star. We show that under a wide range of parameters the fast narrow jets ... More

Improving Reliability of Word Similarity Evaluation by Redesigning Annotation Task and Performance MeasureNov 11 2016We suggest a new method for creating and using gold-standard datasets for word similarity evaluation. Our goal is to improve the reliability of the evaluation, and we do this by redesigning the annotation task to achieve higher inter-rater agreement, ... More

Nonsteady-state diffusion in two-dimensional periodic channelsFeb 12 2019The dynamics of a freely diffusing particle in a two-dimensional channel with cross sectional area $A(x)$, can be effectively described by a one-dimensional diffusion equation under the action of a potential of mean force $U(x)=-k_BT\ln [A(x)]$ (where ... More

A Basis for the Symplectic Group Branching AlgebraMay 13 2010Jun 16 2011The symplectic group branching algebra, B, is a graded algebra whose components encode the multiplicities of irreducible representations of Sp(2n-2,C) in each irreducible representation of Sp(2n,C). By describing on B an ASL structure, we construct an ... More

Critical point correlations in random gaussian fieldsNov 22 2011We consider fluctuations in the distribution of critical points - saddle points, minima and maxima - of random gaussian fields. We calculate the asymptotic limits of the two point correlation function for various critical point densities, for both long ... More

Stationary Measures for Random Walks in a Random Environment with Random SceneryMay 24 1999Let $\Gamma$ act on a countable set V with only finitely many orbits. Given a $\Gamma$-invariant random environment for a Markov chain on V and a random scenery, we exhibit, under certain conditions, an equivalent stationary measure for the environment ... More

The Existence of a Billiard Orbit in the Regular Hyperbolic SimplexFeb 26 2013In this note we establish the existence of a (n+1)-periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.

Surface slopes of asteroid pairs as indicators of mechanical properties and cohesionApr 21 2019Asteroid pairs had a single progenitor that split due to rotational-fission of a weak, rubble-pile structured body. By constructing shape models of asteroid pairs from multiple-apparition observations and using a lightcurve inversion technique, we mapped ... More

Towards Strong Reverse Minkowski-type Inequalities for LatticesJun 22 2016We present a natural reverse Minkowski-type inequality for lattices, which gives upper bounds on the number of lattice points in a Euclidean ball in terms of sublattice determinants, and conjecture its optimal form. The conjecture exhibits a surprising ... More

Formation of dilute adhesion domains driven by weak elasticity-mediated interactionsJul 06 2016Cell-cell adhesion is established by specific binding of receptor and ligand proteins. The adhesion bonds attract each other and often aggregate into large clusters that are central to many biological processes. One possible origin of attractive interactions ... More