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We present a simple yet rigorous approach to the determination of the spectral dimension of random trees, based on the study of the massless limit of the Gaussian model on such trees. As a byproduct, we obtain evidence in favor of a new…

Condensed Matter · Physics 2008-11-26 C. Destri , L. Donetti

String breaking is at the core of hadronization models of relevance to particle colliders. Yet, studies of string-breaking dynamics rooted in quantum chromodynamics remain fundamentally challenging. Tensor networks enable sign-problem-free…

We consider world-sheet theories for non-Abelian strings assuming compactification on a cylinder with a finite circumference $L$ and periodic boundary conditions. The dynamics of the orientational modes is described by two-dimensional…

High Energy Physics - Theory · Physics 2015-07-15 Sergey Monin , Mikhail Shifman , Alexei Yung

We present a general method to detect and extract from a finite time sample statistically meaningful correlations between input and output variables of large dimensionality. Our central result is derived from the theory of free random…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Jean-Philippe Bouchaud , Laurent Laloux , M. Augusta Miceli , Marc Potters

Parameter estimation method of Jelinski-Moranda (JM) model based on weighted nonlinear least squares (WNLS) is proposed. The formulae of resolving the parameter WNLS estimation (WNLSE) are derived, and the empirical weight function and…

Other Computer Science · Computer Science 2019-08-17 Jingwei Liu , Yi Liu , Meizhi Xu

This paper proposes minimum sliced distance estimation in structural econometric models with possibly parameter-dependent supports. In contrast to likelihood-based estimation, we show that under mild regularity conditions, the minimum…

Econometrics · Economics 2024-12-10 Yanqin Fan , Hyeonseok Park

This paper develops new identification results for multidimensional continuous measurement-error models where all observed measurements are contaminated by potentially correlated errors and none provides an injective mapping of the latent…

Econometrics · Economics 2025-12-30 Yingyao Hu

In this paper, we have proposed a dispersive formulation of scalar-based meshless method for time-domain analysis of electromagnetic wave propagation through left-handed (LH) materials. Moreover, we have incorporated Berenger's perfectly…

Numerical Analysis · Mathematics 2021-07-09 Sheyda Shams , Farzad Mohajeri , Masoud Movahhedi

In this note a new high performance least squares parameter estimator is proposed. The main features of the estimator are: (i) global exponential convergence is guaranteed for all identifiable linear regression equations; (ii) it…

Dynamical Systems · Mathematics 2022-05-03 Romeo Ortega , Jose Guadalupe Romero , Stanislav Aranovskiy

Uniform spanning trees are a statistical model obtained by taking the set of all spanning trees on a given graph (such as a portion of a cubic lattice in d dimensions), with equal probability for each distinct tree. Some properties of such…

Statistical Mechanics · Physics 2009-11-10 N. Read

Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

We seek an entropy estimator for discrete distributions with fully empirical accuracy bounds. As stated, this goal is infeasible without some prior assumptions on the distribution. We discover that a certain information moment assumption…

Information Theory · Computer Science 2022-12-27 Doron Cohen , Aryeh Kontorovich , Aaron Koolyk , Geoffrey Wolfer

In a recent paper we have introduced several possible inequivalent descriptions of the dynamics and of the transition probabilities of a quantum system when its Hamiltonian is not self-adjoint. Our analysis was carried out in finite…

Mathematical Physics · Physics 2015-08-12 Fabio Bagarello

We theoretically investigate the elusive Andreev-Bashkin collisionless drag for a two-component onedimensional Bose-Hubbard model on a ring. By means of tensor network algorithms, we calculate the superfluid stiffness matrix as a function…

Quantum Gases · Physics 2021-06-02 Daniele Contessi , Donato Romito , Matteo Rizzi , Alessio Recati

The low-energy (bosonic "heterotic") string theory is interpreted as a universal limit of the Kaluza-Klein reduction when the dimension of an internal space goes to infinity. We show that such an approach is helpful in obtaining classical…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tekin Dereli , Yuri N. Obukhov

We define a family of string equations with perturbative expansions that admit an interpretation as an unoriented minimal string theory with background D-branes and R-R fluxes. The theory also has a well-defined non-perturbative sector and…

High Energy Physics - Theory · Physics 2010-11-04 James E. Carlisle , Clifford V. Johnson

We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is done using both classical periodic homogenization and a new…

Applied Physics · Physics 2019-10-01 Patrizio Neff , Bernhard Eidel , Marco Valerio d'Agostino , Angela Madeo

We examine whether a minimal string model possessing the same massless spectra as the MSSM can be obtained from $Z_4$, $Z_6$ and $Z_8$ orbifold constructions. Using an anomaly cancellation condition of the target space duality symmetry, we…

High Energy Physics - Theory · Physics 2008-02-03 H. Kawabe , T. Kobayashi , N. Ohtsubo

The observation of a scalar resonance at the LHC, compatible with perturbative electroweak symmetry breaking, reinforces the Standard Model parameterisation of all subatomic data. The logarithmic evolution of the SM gauge and matter…

High Energy Physics - Theory · Physics 2014-04-22 Alon E. Faraggi

We consider a bound state problem for a family of supersymmetric gauge theories with fundamental matter. These theories can be obtained by a dimensional reduction of supersymmetric QCD from three dimensions to 1+1 and subsequent truncation…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Stephen Pinsky
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