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The Random Fractional Matching ProblemFeb 08 2018We consider two formulations of the random-link fractional matching problem, a relaxed version of the more standard random-link (integer) matching problem. In one formulation, we allow each node to be linked to itself in the optimal matching configuration. ... More

Spin-charge separation and many-body localizationFeb 07 2018Many body localization for a disordered chain of spin 1/2 fermions is discussed. Following [Phys. Rev. B \textbf{94}, 241104 (2016)], we discuss the case of correlated disorder for both spin components, a system that leads to density (charge) localization ... More

Origin of Pseudo-Stability in Stress-Induced Damage Evolution ProcessesFeb 07 2018Feb 08 2018In this work we demonstrate that during a stress-induced damage evolution process where the stress field depends on the spatial structure of a system, the measured average value is not always representative of the true value of a system parameter. Such ... More

Large-deviation Properties of Linear-programming Computational Hardness of the Vertex Cover ProblemFeb 07 2018The distribution of the computational cost of linear-programming (LP) relaxation for vertex cover problems on Erdos-Renyi random graphs is evaluated by using the rare-event sampling method. As a large-deviation property, differences of the distribution ... More

Dynamic regulation of resource transport induces criticality in multilayer networks of excitable unitsFeb 06 2018Past work has shown that the function of a network of excitable units can be enhanced if the network is in the `critical regime', where excitations are, one average, neither damped nor amplified. In this Letter, we show that resource transport dynamics ... More

Critical Percolation as a Framework to Analyze the Training of Deep NetworksFeb 06 2018In this paper we approach two relevant deep learning topics: i) tackling of graph structured input data and ii) a better understanding and analysis of deep networks and related learning algorithms. With this in mind we focus on the topological classification ... More

Observation of the topological Anderson insulator in disordered atomic wiresFeb 06 2018Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic Hamiltonian engineering, ... More

High-precision simulation of the height distribution for the KPZ equationFeb 06 2018The one-point distribution of the height for the continuum Kardar-Parisi-Zhang (KPZ) equation is determined numerically using the mapping to the directed polymer in a random potential at high temperature. Using an importance sampling approach, the distribution ... More

Solution for a Bipartite Euclidean TSP in one dimensionFeb 05 2018The travelling salesman problem is one of the most studied combinatorial optimization problems, because of the simplicity in its statement and the difficulty in its solution. We characterize the optimal cycle for every convex and increasing cost function ... More

Multilayer Network Modeling of Integrated Biological SystemsFeb 05 2018Biological systems, from a cell to the human brain, are inherently complex. A powerful representation of such systems, described by an intricate web of relationships across multiple scales, is provided by complex networks. Recently, several studies are ... More

Dense Power-law Networks and Simplicial ComplexesFeb 05 2018There is increasing evidence that dense networks occur in on-line social networks, recommendation networks and in the brain. In addition to being dense, these networks are often also scale-free, i.e. their degree distributions follow $P(k)\propto k^{-\gamma}$ ... More

Different regimes of Purcell Effect in Disordered Photonic CrystalsFeb 04 2018We demonstrate that disorder in photonic crystals could lead to pronounced modification of spontaneous emission rate in the frequency region corresponding to the photonic band gap (PBG). Depending on the amount of disorder, two different regimes of the ... More

Exploring the diluted ferromagnetic p-spin model with a Cavity Master EquationFeb 01 2018We introduce a new solution to Glauber multi-spin dynamics on random graphs. The solution is based on the recently introduced Cavity Master Equation (CME), a time-closure turning the in principle exact Dynamic Cavity Method into a practical method of ... More

Complex Network Geometry and Frustrated SynchronizationFeb 01 2018The dynamics of networks of neuronal cultures has been recently shown to be strongly dependent on the network geometry and in particular on their dimensionality. However, this phenomenon has been so far mostly unexplored from the theoretical point of ... More

Noise-robust quantum sensing via optimal multi-probe spectroscopyJan 30 2018The dynamics of quantum systems are unavoidably influenced by their environment and in turn observing a quantum system (probe) can allow one to measure its environment: Measurements and controlled manipulation of the probe such as dynamical decoupling ... More

Spatiotemporal intermittency and localized dynamic fluctuations upon approaching the glass transitionJan 30 2018We introduce a new and robust approach for characterizing spatially and temporally heterogeneous behavior within a system based on the evolution of dynamic fuctuations once averaged over different space lengths and time scales. We apply it to investigate ... More

Multicritical point on the de Almeida-Thouless line in spin glasses in $d>6$ dimensionsJan 29 2018The de Almeida-Thouless (AT) line in Ising spin glasses is the phase boundary in the temperature $T$ and magnetic field $h$ plane below which replica symmetry is broken. Using perturbative renormalization group (RG) methods, we show that when the dimension ... More

Revealing the intrinsic anisotropy of superconducting Sr$_x$Bi$_2$Se$_3$Jan 28 2018We reveal that unusual 2-fold in-plane symmetry of superconductivity, recently explored in Sr- doped topological insulator Bi$_2$Se$_3$, and associated with nematic topological superconductivity, is accompanied by co-aligned features in magnetoresistance ... More

Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocompositesJan 28 2018Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric and other two-component nanocomposites. In the present work, spectral properties of resonances in random networks are studied within a framework ... More

Structural stability of interaction networks against negative external fieldsJan 24 2018We explore structural stability of weighted and unweighted networks of positively interacting agents against a negative external field. We study how the agents support the activity of each other to confront the negative field, which suppresses the activity ... More

Bimeron nanoconfined designJan 24 2018We report on the stabilization of the topological bimeron excitations in confined geometries. The Monte Carlo simulations for a ferromagnet with a strong Dzyaloshinskii-Moriya interaction revealed the formation of a mixed skyrmion-bimeron phase. The vacancy ... More

Many-body localization, symmetry, and topologyJan 23 2018We review recent developments in the study of out-of-equilibrium topological states of matter in isolated systems. The phenomenon of many-body localization, exhibited by some isolated systems usually in the presence of quenched disorder, prevents systems ... More

The quasi-periodic quantum Ising transition in 1DJan 22 2018Unlike random potentials, quasi-periodic modulation can induce localisation-delocalisation transitions in one dimension. In this article, we analyse the implications of this for symmetry breaking in the quasi-periodically modulated quantum Ising chain. ... More

Classical effects in the weak-field magnetoresistance of InGaAs/InAlAs quantum wellsJan 22 2018We observe an unusual behavior of the low-temperature magnetoresistance of the high-mobility two-dimensional electron gas in InGaAs/InAlAs quantum wells in weak perpendicular magnetic fields. The observed magnetoresistance is qualitatively similar to ... More

Unveiling the phase diagram of a striped cuprate at high magnetic fields: Hidden order of Cooper pairsJan 21 2018The interplay of charge orders with superconductivity in underdoped cuprates at high magnetic fields ($H$) is an open question, and even the value of the upper critical field ($H_{c2}$), a measure of the strength of superconductivity, has been the subject ... More

Maximally Random Discrete-Spin Systems with Symmetric and Asymmetric Interactions and Maximally Degenerate OrderingJan 20 2018Discrete-spin systems with maximally random nearest-neighbor interactions that can be symmetric or asymmetric, ferromagnetic or antiferromagnetic, including off-diagonal disorder, are studied, for the number of states $q=3,4$ in $d$ dimensions. We use ... More

Do the surface Fermi arcs in Weyl semimetals survive disorder?Jan 16 2018We theoretically study the topological robustness of the surface physics induced by Weyl Fermi-arc surface states in the presence of short-ranged quenched disorder and surface-bulk hybridization. This is investigated with numerically exact calculations ... More

Three-dimensional chimera patterns in networks of spiking neuron oscillatorsJan 16 2018We study the stable spatiotemporal patterns that arise in a 3D network of neuron oscillators, whose dynamics is described by the Leaky Integrate-and-Fire (LIF) model. More specifically, we investigate the form of the chimera states induced by a 3D coupling ... More

Interpretation of the vibrational spectra of glassy polymers using coarse-grained simulationsJan 12 2018Jan 16 2018The structure and vibrational density of states (VDOS) of polymer glasses are investigated using numerical simulations based on the classical Kremer-Grest bead-spring model. We focus on the roles of chain length and bending stiffness, the latter being ... More

Phase transitions in social networks inspired by the Schelling modelJan 11 2018A generalized Schelling social segregation model is applied for the description of evolving social networks in which the number of connections of each agent (individual) remains approximately constant in time, though may be different for different agents. ... More

Multicanonical Sampling of the Space of States of H(2,n)-Vector ModelsJan 10 2018Problems of temperature behavior of specific heat are solved by the entropy simulation method for Ising models on a simple square lattice and a square spin ice (SSI) lattice with nearest neighbor interaction, models of hexagonal lattices with short-range ... More

Applications of deep learning to relativistic hydrodynamicsJan 10 2018Relativistic hydrodynamics is a powerful tool to simulate the evolution of the quark gluon plasma (QGP) in relativistic heavy ion collisions. Using 10000 initial and final profiles generated from 2+1-d relativistic hydrodynamics VISH2+1 with MC-Glauber ... More

Experimental observation of dispersion of non-hydrodynamic collective optic excitations in molten NaIJan 10 2018High-resolution inelastic x-ray scattering measurements were carried out on molten NaI near the melting point at 680$^\circ$C at SPring-8. Small and damped indications of longitudinal optic excitation modes were observed on the tails of the longitudinal ... More

The plasmon-polariton mirroring due to strong fluctuations of the surface impedanceJan 06 2018Scattering of TM-polarized surface plasmon-polariton waves (PPW) by a finite segment of the metal-vacuum interface with randomly fluctuating surface impedance is examined. Solution of the integral equation relating the scattered field with the field of ... More

Stable Self-Assembled Atomic-Switch Networks for Neuromorphic ApplicationsDec 27 2017Nature inspired neuromorphic architectures are being explored as an alternative to imminent limitations of conventional complementary metal-oxide semiconductor (CMOS) architectures. Utilization of such architectures for practical applications like advanced ... More

Postquench prethermalization in a disordered quantum fluid of lightDec 22 2017We study the coherence of a disordered and interacting quantum light field after propagation along a nonlinear optical fiber. Disorder is generated by a cross-phase modulation with a randomized auxiliary classical light field, while interactions are induced ... More

Structural Covariance in the Hard Sphere FluidDec 22 2017Feb 01 2018We study the joint variability of structural information in a hard sphere fluid biased to avoid crystallisation and form fivefold symmetric geometric motifs. We show that the structural covariance matrix approach, originally proposed for on-lattice liquids ... More

Adaptation to criticality through organizational invariance in embodied agentsDec 13 2017Many biological and cognitive systems do not operate deep within one or other regime of activity. Instead, they are poised at critical points located at transitions of their parameter space. The pervasiveness of criticality suggests that there may be ... More

Softening and Yielding of Soft Glassy MaterialsNov 20 2017Solids deform and fluids flow, but soft glassy materials, such as emulsions, foams, suspensions, and pastes, exhibit an intricate mix of solid and liquid-like behavior. While much progress has been made to understand their elastic (small strain) and flow ... More

Signatures of the Many-body Localized Regime in Two DimensionsNov 07 2017Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focussed on the phenomena in one dimension using techniques of exact diagonalization ... More

Machine learning vortices at the Kosterlitz-Thouless transitionOct 26 2017Efficient and automated classification of phases from minimally processed data is one goal of machine learning in condensed matter and statistical physics. Supervised algorithms trained on raw samples of microstates can successfully detect conventional ... More

Entangled multi-component 4D quantum Hall states from photonic crystal defectsOct 23 2017Recently, there has been a drive towards the realization of topological phases beyond conventional electronic materials, including phases defined in more than three dimensions. We propose a versatile and experimentally realistic approach of realizing ... More

Two-Dimensional Holstein Model: Critical Temperature, Ising Universality, and Bipolaron LiquidSep 04 2017Sep 07 2017Fundamental open questions about the two-dimensional Holstein model of electrons coupled to quantum phonons are addressed by continuous-time quantum Monte Carlo simulations. The critical temperature of the charge-density-wave transition is determined ... More

Crowding of interacting fluid particles in porous media through molecular dynamics: breakdown of universality for soft interactionsAug 23 2017Feb 13 2018Molecular dynamics simulations of interacting soft disks confined in a heterogeneous quenched matrix of soft obstacles show dynamics which is fundamentally different from that of hard disks. The interactions between the disks can enhance transport when ... More

Network of families in a contemporary population: regional and cultural assortativityAug 21 2017Aug 22 2017Using a large dataset with individual-level demographic information of 60,000 families in contemporary Finland, we analyse the variation and cultural assortativity in a network of families. Families are considered as vertices and unions between males ... More

Granular hopping conduction in (Ag,Mo)$_x$(SnO$_2$)$_{1-x}$ films in the dielectric regimeAug 15 2017We have studied the temperature dependence of conductivity, $\sigma(T)$, in two series of Ag$_{x}$(SnO$_2$)$_{1-x}$ and Mo$_{x}$(SnO$_2$)$_{1-x}$ granular films lying below the percolation threshold, where $x$ is the metal volume fraction. The metal grains ... More

Non-identical multiplexing promotes chimera statesAug 02 2017Nov 08 2017We present the emergence of chimeras, a state referring to coexistence of partly coherent, partly incoherent dynamics in networks of identical oscillators, in a multiplex network consisting of two non-identical layers which are interconnected. We demonstrate ... More

Microscopic processes controlling the Herschel-Bulkley exponentAug 01 2017Jan 15 2018The flow curve of various yield stress materials is singular as the strain rate vanishes, and can be characterized by the so-called Herschel-Bulkley exponent $n=1/\beta$. A mean-field approximation due to Hebraud and Lequeux (HL) assumes mechanical noise ... More

Behaviour of l-bits near the many-body localization transitionJul 17 2017Eigenstates of fully many-body localized (FMBL) systems are described by quasilocal operators $\tau_i^z$ (l-bits), which are conserved exactly under Hamiltonian time evolution. The algebra of the operators $\tau_i^z$ and $\tau_i^x$ associated with l-bits ... More

Inferring the parameters of a Markov process from snapshots of the steady stateJul 13 2017Dec 14 2017We seek to infer the parameters of an ergodic Markov process from samples taken independently from the steady state. Our focus is on non-equilibrium processes, where the steady state is not described by the Boltzmann measure, but is generally unknown ... More

Quantum phase recognition via unsupervised machine learningJul 03 2017The application of state-of-the-art machine learning techniques to statistical physic problems has seen a surge of interest for their ability to discriminate phases of matter by extracting essential features in the many-body wavefunction or the ensemble ... More

Criticality as It Could Be: organizational invariance as self-organized criticality in embodied agentsApr 18 2017May 24 2017This paper outlines a methodological approach for designing adaptive agents driving themselves near points of criticality. Using a synthetic approach we construct a conceptual model that, instead of specifying mechanistic requirements to generate criticality, ... More

Electronic conduction properties of indium tin oxide: single-particle and many-body transportFeb 25 2017Indium tin oxide (Sn-doped In$_2$O$_{3-\delta}$ or ITO) is an interesting and technologically important transparent conducting oxide. This class of material has been extensively studied for decades, with research efforts focusing on the application aspects. ... More

Variable-range-hopping conduction processes in oxygen deficient polycrystalline ZnO filmsFeb 22 2017We have fabricated oxygen deficient polycrystalline ZnO films by the rf sputtering deposition method. To systematically investigate the charge transport mechanisms in these samples, the electrical resistivities have been measured over a wide range of ... More

Comments on the Random Thirring ModelFeb 16 2017Mar 21 2017The Thirring model with random couplings is a translationally invariant generalisation of the SYK model to 1+1 dimensions, which is tractable in the large N limit. We compute its two point function, at large distances, for any strength of the random coupling. ... More

Learning Criticality in an Embodied Boltzmann MachineFeb 02 2017Many biological and cognitive systems do not operate deep into one or other regime of activity. Instead, they exploit critical surfaces poised at transitions in their parameter space. The pervasiveness of criticality in natural systems suggests that there ... More

Random versus maximum entropy models of neural population activityDec 08 2016The principle of maximum entropy provides a useful method for inferring statistical mechanics models from observations in correlated systems, and is widely used in a variety of fields where accurate data are available. While the assumptions underlying ... More

The yielding transition in amorphous solids under oscillatory shear deformationDec 08 2016Amorphous solids are ubiquitous among natural and man-made materials. Often used as structural materials for their attractive mechanical properties, their utility depends critically on their response to applied stresses. Processes underlying such mechanical ... More

Quantum subdiffusion with two- and three-body interactionsDec 07 2016We study the dynamics of a few-quantum-particle cloud in the presence of two- and three-body interactions in weakly disordered one-dimensional lattices. The interaction is dramatically enhancing the Anderson localization length $\xi_1$ of noninteracting ... More

Probability distribution of the entanglement across a cut at an infinite-randomness fixed pointDec 06 2016We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the random transverse-field ... More

Statistical mechanics of unsupervised feature learning in a restricted Boltzmann machine with binary synapsesDec 06 2016Revealing hidden features in unlabeled data is called unsupervised feature learning, which plays an important role in pretraining a deep neural network. Here we provide a statistical mechanics analysis of the unsupervised learning in a restricted Boltzmann ... More

Anderson localization in open systemsDec 05 2016Dec 08 2016In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this phenomenon is expected to be fragile in the face of dissipation. Here we show that dissipation can drive a disordered ... More

Anderson localization in open systemsDec 05 2016In an isolated single-particle quantum system a spatial disorder can induce Anderson localization. Being a result of interference, this celebrated phenomenon is expected to be fragile in the face of environment-induced dissipation and it is commonly believed ... More

Dielectric Relaxation Dynamics and the Boson Peak of WaterDec 05 2016By combining dielectric, THz and far-infrared techniques, we have collected temperature-dependent broadband dielectric spectra of water and aqueous LiCl solutions extending up to 20 THz. We demonstrate that the spectral features observed in pure water ... More

The effect of $SU(2)$ symmetry on many-body localization and thermalizationDec 05 2016The many-body localized (MBL) phase is characterized by a complete set of quasi-local integrals of motion and area-law entanglement of excited eigenstates. We study the effect of non-Abelian continuous symmetries on MBL, considering the case of $SU(2)$ ... More

Critical scaling in hidden state inference for linear Langevin dynamicsDec 02 2016We consider the problem of inferring the dynamics of unknown (i.e. hidden) nodes from a set of observed trajectories and we study analytically the average prediction error given by the Extended Plefka Expansion applied to it, as presented in [1]. We focus ... More

Theory of deflagration in disordered mediaDec 02 2016The conventional theory of burning works well in the case of uniform media where all system parameters are spatially independent. We develop a theory of burning in disordered media. In this case, rare regions (hot spots) where the burning process is more ... More

Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systemsDec 01 2016Disordered quantum antiferromagnets in two-dimensional compounds have been a focus of interest in the last years due to their exotic properties. However, with very few exceptions, the ground states of the corresponding Hamiltonians are notoriously difficult ... More

Tunable edge states and their robustness towards disorderNov 30 2016The interest in the properties of edge states in Chern insulators and in $\mathbb{Z}_2$ topological insulator has increased rapidly in recent years. We present calculations on how to influence the transport properties of chiral and helical edge states ... More

Dynamic zero modes of Dirac fermions and competing singlet phases of antiferromagnetic orderNov 29 2016In quantum spin systems, singlet phases often develop in the vicinity of an antiferromagnetic order. Typical settings for such problems arise when itinerant fermions are also present. In this work, we develop a theoretical framework for addressing such ... More

The sandpile revisited: Computer assisted determination of constitutive relations and the breaking of scalingNov 29 2016We revisit the problem of the stress distribution in a frictional sandpile under gravity, equipped with a new numerical model of granular assemblies with both normal and tangential (frictional) inter-granular forces. Numerical simulations allow a determination ... More

Hybrid annealing using a quantum simulator coupled to a classical computerNov 29 2016Finding the global minimum in a rugged potential landscape is a computationally hard task, often equivalent to relevant optimization problems. Simulated annealing is a computational technique which explores the configuration space by mimicking thermal ... More

Finite size scaling study of a two parameter percolation modelNov 29 2016A two parameter percolation model with nucleation and growth of finite clusters is developed taking the initial seed concentration \rho and a growth parameter g as two tunable parameters. Percolation transition is determined by the final static configuration ... More

Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorderNov 29 2016By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe different relaxation ... More

Stochastic Thermodynamics of LearningNov 28 2016Virtually every organism gathers information about its noisy environment and builds models from that data, mostly using neural networks. Here, we use stochastic thermodynamics to analyse the learning of a classification rule by a neural network. We show ... More

Statistical physics approaches to subnetwork dynamics in biochemical systemsNov 28 2016We apply a Gaussian variational approximation to model reduction in large biochemical networks of unary and binary reactions. We focus on a small subset of variables (subnetwork) of interest, e.g. because they are accessible experimentally, embedded in ... More

Self-Learning Monte Carlo Method in Fermion SystemsNov 28 2016We develop the self-learning Monte Carlo (SLMC) method, a general-purpose numerical method recently introduced to simulate many-body systems, for studying interacting fermion systems. Our method uses a highly-efficient update algorithm, which we design ... More

Image Processing with Dipole-Coupled Nanomagnets: Noise Suppression and Edge Enhancement DetectionNov 28 2016Hardware based image processing offers speed and convenience not found in software-centric approaches. Here, we show theoretically that a two-dimensional periodic array of dipole-coupled elliptical nanomagnets, delineated on a piezoelectric substrate, ... More

Specific-heat exponent and modified hyperscaling in the 4D random-field Ising modelNov 28 2016We report a high-precision numerical estimation of the critical exponent $\alpha$ of the specific heat of the random-field Ising model in four dimensions. Our result $\alpha = 0.12(1)$ indicates a diverging specific-heat behavior and is consistent with ... More

Polaronic quantum diffusion in dynamic localization regimeNov 28 2016We investigate the quantum dynamics in a disordered electronic lattice with Fibonacci sequence of site energy and off-diagonal electron-phonon coupling within a sub-Ohmic bath by the time-dependent density matrix renormalization group algorithm. It is ... More

Epidemic spreading and bond percolation in multilayer networksNov 26 2016The Susceptible-Infected-Recovered (SIR) model is studied in multilayer networks with arbitrary number of links across the layers. By following the mapping to bond percolation we give the exact expression for the epidemic threshold and the fraction of ... More

Universal Depinning Transition of Domain Walls in Ultrathin FerromagnetsNov 26 2016We present a quantitative and comparative study of magnetic field driven glassy domain wall dynamics in different ferromagnetic ultrathin films over a wide range of temperature. We reveal a universal scaling function accounting for both drive and thermal ... More

Many-body localization and new critical phenomena in regular random graphs and constrained Erdős-Renyi networksNov 25 2016We consider from the localization perspective the new critical behavior discovered recently for the regular random graphs (RRG) and constrained Erd\H{o}s-Renyi networks (CERN). The diagonal disorder for standard models, we replace by the fugacity $\mu$ ... More

Numerical estimate of the Kardar Parisi Zhang universality class in (2 + 1) dimensionsNov 25 2016We study the Restricted Solid on Solid model for surface growth in spatial dimension $d=2$ by means of a multi-surface coding technique that allows to produce a large number of samples of samples in the stationary regime in a reasonable computational ... More

Eigenvalue Outliers of non-Hermitian Random Matrices with a Local Tree StructureNov 23 2016Spectra of sparse non-Hermitian random matrices determine the dynamics of complex processes on graphs. Eigenvalue outliers in the spectrum are of particular interest, since they determine the stationary state and the stability of dynamical processes. ... More

How does cell size regulation affect population growth?Nov 23 2016The proliferation of a growing microbial colony is well characterized by the population growth rate. However, at the single-cell level, isogenic cells often exhibit different cell-cycle durations. For evolutionary dynamics, it is thus important to establish ... More

The effects of stochasticity at the single-cell level and cell size control on the population growthNov 23 2016Sep 18 2017Establishing a quantitative connection between the population growth rate and the generation times of single cells is a prerequisite for understanding evolutionary dynamics of microbes. However, existing theories fail to account for the experimentally ... More

Cubic anisotropy created by defects of "random local anisotropy" type, and phase diagram of the O(n) modelNov 23 2016The expression for the cubic-type-anisotropy constant created by defects of "random local anisotropy" type is derived. It is shown that the Imry-Ma theorem stating that in space dimensions d<4 the introduction of an arbitrarily small concentration of ... More

Local integrals of motion in the two-site Anderson-Hubbard modelNov 23 2016It has been proposed that the states of fully many-body localized systems can be described in terms of conserved local pseudospins. Due to the multitude of ways to define these, the explicit identification of the optimally local pseudospins in specific ... More

Self-averaging in the random 2D Ising ferromagnetNov 23 2016We study sample-to-sample fluctuations in a critical two-dimensional Ising model with quenched random ferromagnetic couplings. Using replica calculations in the renormalization group framework we derive explicit expressions for the probability distribution ... More

Short-time diffusion behavior of Brownian particles in confining potentialsNov 23 2016Diffusion behavior of Brownian particles in confined spaces was studied for the displacements notably shorter than the confinement size. The confinements, resembling structure of porous solids, were modeled using a spatially-varying potential field with ... More

Wave Transport and Intensity inside Disordered One-Dimensional Systems: Single-Parameter Scaling and Maximum-Entropy. Theory and ExperimentNov 23 2016The single-parameter scaling hypothesis relating the average and variance of the logarithm of conductance is a pillar of the theory of electronic conductance and classical wave propagation. We extend random-matrix theory into the interior of one-dimensional ... More

Spectral correlations in finite-size Anderson insulatorsNov 22 2016We investigate spectral correlations in quasi one-dimensional Anderson insulators with broken time-reversal symmetry. While energy levels are uncorrelated in the thermodynamic limit of infinite wire-length, some correlations remain in finite-size Anderson ... More

Accelerating cross-validation with total variation and its application to super-resolution imagingNov 22 2016We develop an approximation formula for the cross-validation error (CVE) of a sparse linear regression penalized by $\ell_1$-norm and total variation terms, which is based on a perturbative expansion utilizing the largeness of both the data dimensionality ... More

The reversibility and first-order nature of liquid-liquid transition in a molecular liquidNov 22 2016Liquid-liquid transition is an intriguing phenomenon in which a liquid transforms into another liquid via the first-order transition. For molecular liquids, however, it always takes place in a supercooled liquid state metastable against crystallization, ... More

Two-temperature statistics of free energies in (1+1) directed polymersNov 21 2016The joint statistical properties of two free energies computed at two different temperatures in the same sample of (1+1) directed polymers is studied in terms of the replica technique. The scaling dependence of the free energy difference on the two temperatures ... More

Emergence of Compositional Representations in Restricted Boltzmann MachinesNov 21 2016Extracting automatically the complex set of features composing real high-dimensional data is crucial for achieving high performance in machine--learning tasks. Restricted Boltzmann Machines (RBM) are empirically known to be efficient for this purpose, ... More

Structure and dynamics of the t154 lattice glassNov 21 2016We revisit the $t154$ variant of the Biroli-Mezard lattice glass, complementing previous studies by studying statics and dynamics under periodic boundary conditions as well as systems confined in cavities with amorphous boundaries. We compute the point-to-se ... More

On the correlation of light polarization in uncorrelated disordered magnetic mediaNov 21 2016Light scattering in a magnetic medium with uncorrelated inclusions is theoretically studied in the approximation of ladder diagram. Correlation between polarizations of electromagnetic waves that are produced by infinitely-distant dipole source is considered. ... More

Network similarity and statistical analysis of earthquake seismic dataNov 19 2016We study the structural similarity of earthquake networks constructed from seismic catalogs of different geographical regions. A hierarchical clustering of underlying undirected earthquake networks is shown using Jensen-Shannon divergence in graph spectra. ... More