total 10397took 0.11s

Asymptotics of cover times via Gaussian free fields: Bounded-degree graphs and general treesMar 22 2011Feb 25 2014In this paper we show that on bounded degree graphs and general trees, the cover time of the simple random walk is asymptotically equal to the product of the number of edges and the square of the expected supremum of the Gaussian free field on the graph, ... More

On cover times for 2D latticesOct 15 2011Jun 05 2012We study the cover time $\tau_{\mathrm{cov}}$ by (continuous-time) random walk on the 2D box of side length $n$ with wired boundary or on the 2D torus, and show that in both cases with probability approaching 1 as $n$ increases, $\sqrt{\tau_{\mathrm{cov}}}=\sqrt{2n^2}[\sqrt{2/\pi} ... More

Scaling window for mean-field percolation of averagesOct 14 2011Feb 15 2013For a complete graph of size $n$, assign each edge an i.i.d. exponential variable with mean $n$. For $\lambda>0$, consider the length of the longest path whose average weight is at most $\lambda$. It was shown by Aldous (1998) that the length is of order ... More

Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free fieldMay 29 2011Sep 25 2012We study the tail behavior for the maximum of discrete Gaussian free field on a 2D box with Dirichlet boundary condition after centering by its expectation. We show that it exhibits an exponential decay for the right tail and a double exponential decay ... More

Subsequential scaling limits for Liouville graph distanceDec 17 2018For $0<\gamma<2$ and $\delta>0$, we consider the Liouville graph distance, which is the minimal number of Euclidean balls with Liouville quantum gravity measure at most $\delta$ whose union contains a continuous path between two endpoints. In this paper, ... More

Localization for random walks among random obstacles in a single Euclidean ballJul 21 2018Nov 02 2018Place an obstacle with probability $1-p$ independently at each vertex of $\mathbb Z^d$, and run a simple random walk until hitting one of the obstacles. For $d\geq 2$ and $p$ strictly above the critical threshold for site percolation, we condition on ... More

Upper bounds on Liouville first passage percolation and Watabiki's predictionOct 31 2016Aug 01 2018Given a planar continuum Gaussian free field $h^{\mathcal U}$ in a domain $\mathcal U$ with Dirichlet boundary condition and any $\delta>0$, we let $\{h_\delta^{\mathcal U}(v): v\in \mathcal U\}$ be a real-valued smooth Gaussian process where $h_\delta^{\mathcal ... More

Subsequential scaling limits for Liouville graph distanceDec 17 2018Apr 01 2019For $0<\gamma<2$ and $\delta>0$, we consider the Liouville graph distance, which is the minimal number of Euclidean balls with Liouville quantum gravity measure at most $\delta$ whose union contains a continuous path between two endpoints. In this paper, ... More

Percolation for level-sets of Gaussian free fields on metric graphsJul 29 2018Mar 12 2019We study level-set percolation for Gaussian free fields on metric graphs. In two dimensions, we give an upper bound on the chemical distance between the two boundaries of a macroscopic annulus. Our bound holds with high probability conditioned on connectivity ... More

Exponential decay of correlations in the two-dimensional random field Ising model at positive temperaturesMay 14 2019We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that at any positive temperature the effect of boundary conditions on the magnetization in ... More

Liouville first passage percolation: geodesic dimension is strictly larger than 1 at high temperaturesOct 10 2016Let $\{\eta(v): v\in V_N\}$ be a discrete Gaussian free field in a two-dimensional box $V_N$ of side length $N$ with Dirichlet boundary conditions. We study the Liouville first passage percolation, i.e., the shortest path metric where each vertex is given ... More

A sharp estimate for cover times on binary treesApr 03 2011We compute the second order correction for the cover time of the binary tree of depth $n$ by (continuous-time) random walk, and show that with probability approaching 1 as $n$ increases, $\sqrt{\tau_{\mathrm{cov}}}=\sqrt{|E|}[\sqrt{2\log 2}\cdot n - {\log ... More

Percolation of averages in the stochastic mean field model: the near-supercritical regimeJan 15 2015Nov 19 2015For a complete graph of size $n$, assign each edge an i.i.d.\ exponential variable with mean $n$. For $\lambda>0$, consider the length of the longest path whose average weight is at most $\lambda$. It was shown by Aldous (1998) that the length is of order ... More

Mixing under monotone censoringNov 23 2013Dec 02 2013We initiate the study of mixing times of Markov chain under monotone censoring. Suppose we have some Markov Chain $M$ on a state space $\Omega$ with stationary distribution $\pi$ and a monotone set $A \subset \Omega$. We consider the chain $M'$ which ... More

Three favorite sites occurs infinitely often for one-dimensional simple random walkDec 06 2016Oct 25 2017For a one-dimensional simple random walk $(S_t)$, for each time $t$ we say a site $x$ is a favorite site if it has the maximal local time. In this paper, we show that with probability 1 three favorite sites occurs infinitely often. Our work is inspired ... More

Exploring the Self-enhanced Mechanism of Interactive Advertising Phenomenon---Based on the Research of Three CasesMay 18 2015Under the background of the new media era with the rapid development of interactive advertising, this paper used case study method based on the summary of the research of the communication effect of interactive advertising from both domestic and foreign ... More

Liouville first-passage percolation: subsequential scaling limits at high temperatureMay 13 2016Sep 15 2018Let $\{Y_{\mathfrak{B}}(x)\,:\,x\in\mathfrak{B}\}$ be a discrete Gaussian free field in a two-dimensional box $\mathfrak{B}$ of side length $S$ with Dirichlet boundary conditions. We study Liouville first-passage percolation: the shortest-path metric ... More

Non-universality for first passage percolation on the exponential of log-correlated Gaussian fieldsJun 10 2015Oct 25 2017We consider first passage percolation (FPP) where the vertex weight is given by the exponential of two-dimensional log-correlated Gaussian fields. Our work is motivated by understanding the discrete analog for the random metric associated with \emph{Liouville ... More

Poly-logarithmic localization for random walks among random obstaclesMar 20 2017Jul 21 2018Place an obstacle with probability $1-p$ independently at each vertex of $\mathbb Z^d$, and run a simple random walk until hitting one of the obstacles. For $d\geq 2$ and $p$ strictly above the critical threshold for site percolation, we condition on ... More

Distances in critical long range percolationMar 16 2013Nov 07 2015We study the long range percolation model on $\mathbb{Z}$ where sites $i$ and $j$ are connected with probability $\beta |i-j|^{-s}$. Graph distances are now well understood for all exponents $s$ except in the case $s=2$ where the model exhibits non-trivial ... More

Exponential decay of correlations in the two-dimensional random field Ising model at zero temperatureFeb 08 2019Feb 17 2019We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that at zero temperature the effect of boundary conditions on the magnetization in a finite ... More

First passage percolation on the exponential of two-dimensional branching random walkNov 21 2015Dec 06 2017We consider the branching random walk $\{\mathcal R^N_z: z\in V_N\}$ with Gaussian increments indexed over a two-dimensional box $V_N$ of side length $N$, and we study the first passage percolation where each vertex is assigned weight $e^{\gamma \mathcal ... More

Extreme values for two-dimensional discrete Gaussian free fieldJun 02 2012Apr 07 2013We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry of the set of near maxima, estimates on the gap between ... More

The fractal dimension of Liouville quantum gravity: universality, monotonicity, and boundsJul 03 2018Apr 22 2019We prove that for each $\gamma \in (0,2)$, there is an exponent $d_\gamma > 2$, the "fractal dimension of $\gamma$-Liouville quantum gravity (LQG)", which describes the ball volume growth exponent for certain random planar maps in the $\gamma$-LQG universality ... More

Sensitivity of mixing timesMar 31 2013In this note, we demonstrate an instance of bounded-degree graphs of size $n$, for which the total variation mixing time for the random walk is decreased by a factor of $\log n/ \log\log n$ if we multiply the edge-conductances by bounded factors in a ... More

Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperaturesOct 10 2016Mar 16 2019Let $\{\eta(v): v\in V_N\}$ be a discrete Gaussian free field in a two-dimensional box $V_N$ of side length $N$ with Dirichlet boundary conditions. We study the Liouville first passage percolation, i.e., the shortest path metric where each vertex is given ... More

Localization near the edge for the Anderson Bernoulli model on the two dimensional latticeSep 24 2018Oct 23 2018We consider a Hamiltonian given by the Laplacian plus a Bernoulli potential on the two dimensional lattice. We prove that, for energies sufficiently close to the edge of the spectrum, the resolvent on a large square is likely to decay exponentially. This ... More

Unitary Representations with Dirac cohomology: a finiteness resultFeb 07 2017Nov 07 2018Let $G$ be a connected complex simple Lie group, and let $\widehat{G}^{\mathrm{d}}$ be the set of all equivalence classes of irreducible unitary representations with non-vanishing Dirac cohomology. We show that $\widehat{G}^{\mathrm{d}}$ consists of two ... More

Antichain generating polynomials of posetsMay 16 2019This paper gives a formula for the antichain generating polynomial $\mathcal{N}_{[k]\times Q}$ of the poset $[k]\times Q$, where $[k]$ is an arbitrary chain and $Q$ is any finite graded poset. When $Q$ specializes to be a connected minuscule poet, which ... More

Heat kernel for Liouville Brownian motion and Liouville graph distanceJul 02 2018We show the existence of the scaling exponent $\chi\in (0,4[(1+\gamma^2/4)- \sqrt{1+\gamma^4/16}]/\gamma^2]$ of the graph distance associated with subcritical two-dimensional Liouville quantum gravity of paramater $\gamma<2$ on $\mathbb V =[0,1]^2 $. ... More

Return probability and recurrence for the random walk driven by two-dimensional Gaussian free fieldNov 11 2016Given any $\gamma>0$ and for $\eta=\{\eta_v\}_{v\in \mathbb Z^2}$ denoting a sample of the two-dimensional discrete Gaussian free field on $\mathbb Z^2$ pinned at the origin, we consider the random walk on $\mathbb Z^2$ among random conductances where ... More

Total-variation cutoff in birth-and-death chainsJan 17 2008Oct 06 2008The cutoff phenomenon describes a case where a Markov chain exhibits a sharp transition in its convergence to stationarity. In 1996, Diaconis surveyed this phenomenon, and asked how one could recognize its occurrence in families of finite ergodic Markov ... More

Convergence in law of the maximum of the two-dimensional discrete Gaussian free fieldJan 28 2013Jul 03 2015We consider the two-dimensional Gaussian Free Field on a box of side length $N$, with Dirichlet boundary data, and prove the convergence of the law of the recentered maximum of the field.

On the Liouville heat kernel for k-coarse MBRW and nonuniversalityJan 05 2017We study the Liouville heat kernel (in the $L^2$ phase) associated with a class of logarithmically correlated Gaussian fields on the two dimensional torus. We show that for each $\varepsilon>0$ there exists such a field, whose covariance is a bounded ... More

Unitary representations with non-zero Dirac cohomology for some real exceptional groupsSep 17 2018Nov 16 2018Up to equivalence, this paper classifies all the irreducible unitary representations with non-zero Dirac cohomology for the following real reductive exceptional Lie groups: ${\rm EI}=E_{6(6)}, {\rm EIV}=E_{6(-26)}, {\rm FI}=F_{4(4)}, {\rm FII}=F_{4(-20)}$. ... More

Cover times, blanket times, and majorizing measuresApr 25 2010Oct 07 2011We exhibit a strong connection between cover times of graphs, Gaussian processes, and Talagrand's theory of majorizing measures. In particular, we show that the cover time of any graph $G$ is equivalent, up to universal constants, to the square of the ... More

Electron heating and acceleration by magnetic reconnection in hot accretion flowsNov 24 2009Both analytical and numerical works show that magnetic reconnection must occur in hot accretion flows. This process will effectively heat and accelerate electrons. In this paper we use the numerical hybrid simulation of magnetic reconnection plus test-electron ... More

Convergence of the centered maximum of log-correlated Gaussian fieldsMar 16 2015We show that the centered maximum of a sequence of log-correlated Gaussian fields in any dimension converges in distribution, under the assumption that the covariances of the fields converge in a suitable sense. We identify the limit as a randomly shifted ... More

Anatomy of the giant component: The strictly supercritical regimeFeb 28 2012In a recent work of the authors and Kim, we derived a complete description of the largest component of the Erd\H{o}s-R\'enyi random graph $G(n,p)$ as it emerges from the critical window, i.e. for $p = (1+\epsilon)/n$ where $\epsilon^3 n \to\infty$ and ... More

Censored Glauber Dynamics for the mean field Ising ModelDec 03 2008We study Glauber dynamics for the Ising model on the complete graph on $n$ vertices, known as the Curie-Weiss Model. It is well known that at high temperature ($\beta < 1$) the mixing time is $\Theta(n\log n)$, whereas at low temperature ($\beta > 1$) ... More

The mixing time evolution of Glauber dynamics for the mean-field Ising modelJun 11 2008Jun 12 2008We consider Glauber dynamics for the Ising model on the complete graph on $n$ vertices, known as the Curie-Weiss model. It is well-known that the mixing-time in the high temperature regime ($\beta < 1$) has order $n\log n$, whereas the mixing-time in ... More

Proof of the satisfiability conjecture for large kNov 03 2014Aug 09 2016We establish the satisfiability threshold for random $k$-SAT for all $k\ge k_0$, with $k_0$ an absolute constant. That is, there exists a limiting density $\alpha_*(k)$ such that a random $k$-SAT formula of clause density $\alpha$ is with high probability ... More

Continuous monitoring of $\ell_p$ norms in data streamsApr 21 2017Nov 09 2017In insertion-only streaming, one sees a sequence of indices $a_1, a_2, \ldots, a_m\in [n]$. The stream defines a sequence of $m$ frequency vectors $x^{(1)},\ldots,x^{(m)}\in\mathbb{R}^n$ with $(x^{(t)})_i = |\{j : j\in[t], a_j = i\}|$. That is, $x^{(t)}$ ... More

Supercritical minimum mean-weight cyclesApr 03 2015We study the weight and length of the minimum mean-weight cycle in the stochastic mean-field distance model, i.e., in the complete graph on $n$ vertices with edges weighted by independent exponential random variables. Mathieu and Wilson showed that the ... More

Persistence of iterated partial sumsMay 15 2012Let $S_n^{(2)}$ denote the iterated partial sums. That is, $S_n^{(2)}=S_1+S_2+ ... +S_n$, where $S_i=X_1+X_2+ ... s+X_i$. Assuming $X_1, X_2,....,X_n$ are integrable, zero-mean, i.i.d. random variables, we show that the persistence probabilities $$p_n^{(2)}:=\PP(\max_{1\le ... More

Cut-off for lamplighter chains on tori: dimension interpolation and phase transitionDec 16 2013Aug 14 2018Given a finite, connected graph $G$, the lamplighter chain on $G$ is the lazy random walk $X^\diamond$ on the associated lamplighter graph $G^\diamond={\mathbf Z}_2 \wr G$. The mixing time of the lamplighter chain on the torus ${\mathbf Z}_n^d$ is known ... More

Heavy neutrino searches at future $Z$-factoriesMar 06 2019We analyze the capacity of future $Z$-factories to search for heavy neutrinos with their mass from 10 to 91 GeV. The heavy neutrinos $N$ are considered to be produced via the process $e^+e^-\to Z\to \nu N$ and to decay into an electron or muon and two ... More

Cognitive Non-Orthogonal Multiple Access with Cooperative Relaying: A New Wireless Frontier for 5G Spectrum SharingJan 12 2018Two emerging technologies towards 5G wireless networks, namely non-orthogonal multiple access (NOMA) and cognitive radio (CR), will provide more efficient utilization of wireless spectrum in the future. In this article, we investigate the integration ... More

Testing for high-dimensional geometry in random graphsNov 20 2014Nov 22 2015We study the problem of detecting the presence of an underlying high-dimensional geometric structure in a random graph. Under the null hypothesis, the observed graph is a realization of an Erd\H{o}s-R\'enyi random graph $G(n,p)$. Under the alternative, ... More

Online Learning with Composite Loss FunctionsMay 18 2014We study a new class of online learning problems where each of the online algorithm's actions is assigned an adversarial value, and the loss of the algorithm at each step is a known and deterministic function of the values assigned to its recent actions. ... More

Likelihood Ratio Based Scheduler for Secure Detection in Cyber Physical SystemsJul 27 2015This paper is concerned with a binary detection problem over a non-secure network. To satisfy the communication rate constraint and against possible cyber attacks, which are modeled as deceptive signals injected to the network, a likelihood ratio based ... More

Dirac Neutrino Masses in NCGNov 11 2001Several models in NCG with mild changes to the standard model(SM)are introduced to discuss the neutrino mass problem. We use two constraints, Poincar$\acute{e}$ duality and gauge anomaly free, to discuss the possibility of containing right-handed neutrinos ... More

Anatomy of a young giant component in the random graphJun 10 2009Jul 31 2009We provide a complete description of the giant component of the Erd\H{o}s-R\'enyi random graph $G(n,p)$ as soon as it emerges from the scaling window, i.e., for $p = (1+\epsilon)/n$ where $\epsilon^3 n \to \infty$ and $\epsilon=o(1)$. Our description ... More

Efficient Cross-Validation for Semi-Supervised LearningFeb 13 2019Manifold regularization, such as laplacian regularized least squares (LapRLS) and laplacian support vector machine (LapSVM), has been widely used in semi-supervised learning, and its performance greatly depends on the choice of some hyper-parameters. ... More

Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phaseApr 16 2019We consider a discrete time biased random walk conditioned to avoid Bernoulli obstacles on ${\mathbb Z}^d$ ($d\geq 2$) up to time $N$. This model is known to undergo a phase transition: for a large bias, the walk is ballistic whereas for a small bias, ... More

Hidden Hamiltonian Cycle Recovery via Linear ProgrammingApr 15 2018We introduce the problem of hidden Hamiltonian cycle recovery, where there is an unknown Hamiltonian cycle in an $n$-vertex complete graph that needs to be inferred from noisy edge measurements. The measurements are independent and distributed according ... More

Densely Connected Bidirectional LSTM with Applications to Sentence ClassificationFeb 03 2018Deep neural networks have recently been shown to achieve highly competitive performance in many computer vision tasks due to their abilities of exploring in a much larger hypothesis space. However, since most deep architectures like stacked RNNs tend ... More

Bandits with Switching Costs: T^{2/3} RegretOct 11 2013Nov 19 2013We study the adversarial multi-armed bandit problem in a setting where the player incurs a unit cost each time he switches actions. We prove that the player's $T$-round minimax regret in this setting is $\widetilde{\Theta}(T^{2/3})$, thereby closing a ... More

Discrete Gyrator Transforms: Computational Algorithms and ApplicationsJun 03 2017As an extension of the 2D fractional Fourier transform (FRFT) and a special case of the 2D linear canonical transform (LCT), the gyrator transform was introduced to produce rotations in twisted space/spatial-frequency planes. It is a useful tool in optics, ... More

Efficient random graph matching via degree profilesNov 19 2018Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$. This can be ... More

Scalable and Accurate Online Feature Selection for Big DataNov 30 2015Jul 28 2016Feature selection is important in many big data applications. Two critical challenges closely associate with big data. Firstly, in many big data applications, the dimensionality is extremely high, in millions, and keeps growing. Secondly, big data applications ... More

Tightness of Liouville first passage percolation for $γ\in (0,2)$Apr 16 2019We study Liouville first passage percolation metrics associated to a Gaussian free field $h$ mollified by the two-dimensional heat kernel $p_t$ in the bulk, and related star-scale invariant metrics. For $\gamma \in (0,2)$ and $\xi = \frac{\gamma}{d_{\gamma}}$, ... More

The evolution of the cover timeJan 05 2010Aug 17 2010The cover time of a graph is a celebrated example of a parameter that is easy to approximate using a randomized algorithm, but for which no constant factor deterministic polynomial time approximation is known. A breakthrough due to Kahn, Kim, Lovasz and ... More

Analytical Solution of Transverse Oscillation in Cyclotron Using LP MethodJan 08 2018We have carried out an approximate analytical solution to precisely consider the influence of magnetic field on the transverse oscillation of particles in cyclotron. The differential equations of transverse oscillation are solved from the Lindstedt-Poincare ... More

New quantum codes from dual-containing cyclic codes over finite ringsAug 24 2016Let $R=\mathbb{F}_{2^{m}}+u\mathbb{F}_{2^{m}}+\cdots+u^{k}\mathbb{F}_{2^{m}}$ , where $\mathbb{F}_{2^{m}}$ is a finite field with $2^{m}$ elements, $m$ is a positive integer, $u$ is an indeterminate with $u^{k+1}=0.$ In this paper, we propose the constructions ... More

Faster super-resolution imaging with auto-correlation two-step deconvolutionSep 19 2018Sep 27 2018Despite super-resolution fluorescence blinking microscopes break the diffraction limit, the intense phototoxic illumination and long-term image sequences thus far still pose to major challenges in visualizing live-organisms. Here, we proposed a super-resolution ... More

Non-universality for first passage percolation on the exponential of log-correlated Gaussian fieldsJun 10 2015Jan 20 2016We consider first passage percolation(FPP) where the vertex weight is given by the exponential of two-dimensional log-correlated Gaussian fields. Our work is motivated by understanding the discrete analog for the random metric associated with \emph{Liouville ... More

Mixing time for the Ising model: a uniform lower bound for all graphsSep 28 2009Sep 25 2013Consider Glauber dynamics for the Ising model on a graph of $n$ vertices. Hayes and Sinclair showed that the mixing time for this dynamics is at least $n\log n/f(\Delta)$, where $\Delta$ is the maximum degree and $f(\Delta) = \Theta(\Delta \log^2 \Delta)$. ... More

Capacity lower bound for the Ising perceptronSep 20 2018We consider the Ising perceptron with gaussian disorder, which is equivalent to the discrete cube $\{-1,+1\}^N$ intersected by $M$ random half-spaces. The perceptron's capacity is $\alpha_N \equiv M_N/N$ for the largest integer $M_N$ such that the intersection ... More

Liouville first passage percolation: the weight exponent is strictly less than 1 at high temperaturesMay 26 2016Jun 03 2016Let $\{\eta_{N, v}: v\in V_N\}$ be a discrete Gaussian free field in a two-dimensional box $V_N$ of side length $N$ with Dirichlet boundary conditions. We study the Liouville first passage percolation, i.e., the shortest path metric where each vertex ... More

Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soupsMay 14 2016Feb 25 2018We initiate the study on chemical distances of percolation clusters for level sets of two-dimensional discrete Gaussian free fields as well as loop clusters generated by two-dimensional random walk loop soups. One of our results states that the chemical ... More

Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm$_{3}$Sb$_{3}$Zn$_{2}$O$_{14}$Feb 03 2018Nov 08 2018We report the thermodynamic and muon spin relaxation ($\mu$SR) evidences for a possible gapless spin liquid in Tm$_{3}$Sb$_{3}$Zn$_{2}$O$_{14}$, with the rare-earth ions Tm$^{3+}$ forming a two-dimensional kagom\'{e} lattice. We extract the magnetic specific ... More

Three favorite sites occurs infinitely often for one-dimensional simple random walkDec 06 2016For a one-dimensional simple random walk $(S_t)$, for each time $t$ we say a site $x$ is a favorite site if it has the maximal local time. In this paper, we show that with probability 1 three favorite sites occurs infinitely often. Our work is inspired ... More

Percolation for level-sets of Gaussian free fields on metric graphsJul 29 2018We study level-set percolation for Gaussian free fields on metric graphs. In two dimensions, we give an upper bound on the chemical distance between the two boundaries of a macroscopic annulus. Our bound holds with high probability conditioned on connectivity ... More

The fractal dimension of Liouville quantum gravity: universality, monotonicity, and boundsJul 03 2018Aug 22 2018We prove that for each $\gamma \in (0,2)$, there is an exponent $d_\gamma > 2$, the "fractal dimension of $\gamma$-Liouville quantum gravity (LQG)", which describes the ball volume growth exponent for certain random planar maps in the $\gamma$-LQG universality ... More

A double neutron star merger origin for the cosmological relativistic fading source PTF11agg?Aug 06 2013Jan 07 2014The Palomar Transient Factory (PTF) team recently reported the discovery of a rapidly fading optical transient source, PTF11agg. A long-lived scintillating radio counterpart was identified, but the search for a high energy counterpart showed negative ... More

Constraints on flavor-changing neutral-current $Htq$ couplings from the signal of $tH$ associated production with QCD next-to-leading order accuracy at the LHCAug 14 2012Nov 21 2012We study a generic Higgs boson and a top quark associated production via model-independent flavor-changing neutral-current couplings at the LHC, including complete QCD next-to-leading order (NLO) corrections to the production and decay of the top quark ... More

Understanding the Importance of Single Directions via Representative SubstitutionNov 27 2018Dec 06 2018Understanding the internal representations of deep neural networks (DNNs) is crucal to explain their behavior. The interpretation of individual units, which are neurons in MLPs or convolution kernels in convolutional networks, has been paid much attention ... More

Precise QCD predictions on top quark pair production mediated by massive color octet vector boson at hadron collidersJan 03 2012Dec 03 2012We present a theoretical framework for systematically calculating next-to-leading order (NLO) QCD effects to various experimental observables in models with massive COVB in a model independent way at hadron colliders. Specifically, we show the numerical ... More

Liouville first-passage percolation: subsequential scaling limit at high temperatureMay 13 2016Let $\{Y_{\mathfrak{B}}(v):v\in\mathfrak{B}\}$ be a discrete Gaussian free field in a two-dimensional box $\mathfrak{B}$ of side length $S$ with Dirichlet boundary conditions. We study the Liouville first-passage percolation, in which each vertex is given ... More

Upper bounds on Liouville first passage percolation and Watabiki's predictionOct 31 2016Nov 01 2016Given a planar continuous Gaussian free field $h$ in a domain $D$ with Dirichlet boundary condition and any $\delta>0$, we let $\{h_\delta(v): v\in D\}$ be a real-valued smooth Gaussian field where $h_\delta(v)$ is the average of $h$ in a circle of radius ... More

Visualizing molecular unidirectional rotationNov 13 2014A molecule can be optically accelerated to rotate unidirectionally at a frequency of a few terahertzes which is many orders higher than the classical mechanical rotor. Such a photon-induced ultrafast molecular unidirectional rotation has been well explored ... More

On the observation of $e^+e^-\to b \bar{b}Z^0$ at LEP II with two Higgs doubletsJul 24 1995We study possible observational effects of the two Higgs doublets in the $e^+e^- \to b \bar{b} Z^0$ at the LEP II energy. We have found that the observational values can be obviously different from that predicted by the minimal Standard Model (MSM), but ... More

Learning RoI Transformer for Detecting Oriented Objects in Aerial ImagesDec 01 2018Object detection in aerial images is an active yet challenging task in computer vision because of the birdview perspective, the highly complex backgrounds, and the variant appearances of objects. Especially when detecting densely packed objects in aerial ... More

Strongly lensed repeating Fast Radio Bursts as precision probes of the universeAug 21 2017Oct 13 2018Fast Radio bursts (FRBs), bright transients with millisecond durations at $\sim$ GHz and typical redshifts probably $>0.8$, are likely to be gravitationally lensed by intervening galaxies. Since the time delay between images of strongly lensed FRB can ... More

Thermodynamics of charged AdS black holes in rainbow gravityMay 31 2018Jan 03 2019In this paper, the thermodynamic property of charged AdS black holes is studied in rainbow gravity. By the Heisenberg Uncertainty Principle and the modified dispersion relation, we obtain deformed temperature. Moreover, in rainbow gravity we calculate ... More

Audio-only Bird Species Automated Identification Method with Limited Training Data Based on Multi-Channel Deep Convolutional Neural NetworksMar 03 2018Based on the transfer learning, we design a bird species identification model that uses the VGG-16 model (pretrained on ImageNet) for feature extraction, then a classifier consisting of two fully-connected hidden layers and a Softmax layer is attached. ... More

The evolution of universe in the two-scalar theoryJul 25 2018We generalize f(R,T) gravity into the two-scalar theory that includes two independent scalar fields by the variational method, and we derive its field equations in Einstein frame using conformal transformation. Based on Friedmann equations and Raychaudhuri ... More

Strong coupling superconductivity and prominent superconducting fluctuations in the new superconductor Bi4O4S3Apr 11 2013Sep 16 2013Electric transport and scanning tunneling spectrum (STS) have been investigated on polycrystalline samples of the new superconductor Bi4O4S3. A weak insulating behavior in the resistive curve has been induced in the normal state when the superconductivity ... More

Upper bounds on Liouville first passage percolation and Watabiki's predictionOct 31 2016Given a planar continuous Gaussian free field $h$ in a domain $D$ with Dirichlet boundary condition and any $\delta>0$, we let $\{h_\delta(v): v\in D\}$ be a real-valued smooth Gaussian field where $h_\delta(v)$ is the average of $h$ in a circle of radius ... More

First passage percolation on the exponential of two-dimensional branching random walkNov 21 2015Sep 14 2016We consider the branching random walk $\{\mathcal R^N_z: z\in V_N\}$ with Gaussian increments indexed over a two-dimensional box $V_N$ of side length $N$, and we study the first passage percolation where each vertex is assigned weight $e^{\gamma \mathcal ... More

Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soupsMay 14 2016Aug 29 2016We initiate the study on chemical distances of percolation clusters for level sets of two-dimensional discrete Gaussian free fields as well as loop clusters generated by two-dimensional random walk loop soups. One of our results states that the chemical ... More

Exponential decay of correlations in the two-dimensional random field Ising model at zero temperatureFeb 08 2019We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that at zero temperature the effect of boundary conditions on the magnetization in a finite ... More

Two parameters scaling approach to Anderson localization of weekly interacting BECJul 07 2012Jan 25 2013We numerically study the Anderson localization of weekly interacting Bose-Einstein condensate in a one-dimensional disordered potential. We show that two parameters are needed to completely describe such system, and the density profile of which can be ... More

Revealing Strong Plasmon-Exciton Coupling Between Nano-gap Resonators and Two-Dimensional Semiconductors at Ambient ConditionsNov 05 2018Strong coupling of two-dimensional semiconductor excitons with plasmonic resonators enables control of light-matter interaction at the subwavelength scale. Here we develop strong coupling in plasmonic nano-gap resonators that allow modification of exciton ... More

Impurity effect and suppression to superconductivity in Na(Fe$_{0.97-x}$Co$_{0.03}$T$_x$)As (T=Cu, Mn)Aug 06 2013We report the successful growth and the impurity scattering effect of single crystals of Na(Fe$_{0.97-x}$Co$_{0.03}$T$_x$)As (T=Cu, Mn). The temperature dependence of DC magnetization at high magnetic fields is measured for different concentrations of ... More

Phenomenological Description of the Spectral Function for the Pseudogap and Superconducting Phases of High-T$_c$ CupratesMay 13 2019We present a phenomenological Green's function to characterize the superconducting and pseudogap phases of the cuprates based on a microscopic theory of doped Mott insulators. In this framework, the "Fermi arc" and "kink" phenomena observed by angular-resolved ... More

Optimized hierarchical equations of motion for Drude dissipationJul 01 2011The hierarchical equations of motion theory for Drude dissipation is optimized, with a convenient convergence criterion proposed in advance of numerical propagations. The theoretical construction is on basis of a Pad\'{e} spectrum decomposition that has ... More

Phenomenology of an Extended Higgs Portal Inflation Model after Planck 2013Jul 29 2013Aug 07 2014We consider an extended inflation model in the frame of Higgs portal model, assuming a nonminimal coupling of the scalar field to the gravity. Using the new data from Planck $2013$ and other relevant astrophysical data, we obtain the relation between ... More

Searching for the signal of dark matter and photon associated production at the LHC beyond leading orderSep 30 2012May 20 2013We study the signal of dark matter and photon associated production induced by the vector and axial-vector operators at the LHC, including the QCD next-to-leading order (NLO) effects. We find that the QCD NLO corrections reduce the dependence of the total ... More