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We obtain a complete description of anisotropic scaling limits and the existence of scaling transition for a class of negatively dependent linear random fields on ${\mathbb{Z}}^2$ with moving-average coefficients $a(t,s)$ decaying as…

Probability · Mathematics 2020-03-17 Donatas Surgailis

Finite-size (FS) effects are a major source of error in many-body (MB) electronic structure calculations of extended systems. A method is presented to correct for such errors. We show that MB FS effects can be effectively included in a…

Materials Science · Physics 2008-03-28 Hendra Kwee , Shiwei Zhang , Henry Krakauer

This paper constructs three different anisotropic extensions of the existing isotropic solution to the modified field equations through the gravitational decoupling in $f(\mathbb{R},\mathbb{T})$ theory. For this, we take a static sphere…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Tayyab Naseer , M. Sharif

In this paper, we rigorously prove the bulk-edge correspondence for finite two-dimensional ergodic disordered systems. Specifically, we focus on the short-range Hamiltonians with ergodic disordered on-site potentials. We first introduce the…

Mathematical Physics · Physics 2025-12-15 Habib Ammari , Jiayu Qiu

In order to analyze finite-size effects for the gauge-fixed string sigma model on AdS_5 x S^5, we construct one-soliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently constructed…

High Energy Physics - Theory · Physics 2008-11-26 Gleb Arutyunov , Sergey Frolov , Marija Zamaklar

We consider the gravitational model with additional spatial dimensions and anisotropic pressure which is nonzero only in these dimensions. Cosmological solutions in this model include accelerated expansion of the Universe at late age of its…

General Relativity and Quantum Cosmology · Physics 2014-02-19 O. A. Grigorieva , G. S. Sharov

Considered are the large $N$, or large intensity, forms of the distribution of the length of the longest increasing subsequences for various models. Earlier work has established that after centring and scaling, the limit laws for these…

Mathematical Physics · Physics 2022-06-09 Peter J. Forrester , Anthony Mays

We derive a relation between leading finite size corrections for a 1+1 dimensional quantum field theory on a strip and scattering data, which is very similar in spirit to the approach pioneered by Luscher for periodic boundary conditions.…

High Energy Physics - Theory · Physics 2009-11-10 Z. Bajnok , L. Palla , G. Takacs

In this paper we tackle a question raised by N. Templier and A. Saha concerning the size of Whittaker new vectors appearing in infinite dimensional representations of GL(2) over non-archimedean fields. We derive precise bounds for such…

Number Theory · Mathematics 2018-12-24 Edgar Assing

The finite size spectrum of the critical $\mathbb{Z}_2$-staggered spin-$1/2$ XXZ model with quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of the staggering the spectrum of conformal weights of…

Statistical Mechanics · Physics 2022-01-19 Holger Frahm , Sascha Gehrmann

Model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance $\propto \delta(t-t^{\prime})|{\bf x}-{\bf x^{\prime}}|^{2\epsilon}$ is studied by using the field theoretic…

Chaotic Dynamics · Physics 2007-05-23 E. Jurcisinova , M. Jurcisin , R. Remecky , M. Scholtz

A new perturbation theory is proposed for studying finite-size effects near critical point of the $\phi^4$ model with a one-component order parameter. The new approach is based on the techniques of generating functional and functional…

Condensed Matter · Physics 2007-05-23 C. B. Yang , X. Cai

We explore how matrix bootstrap techniques can be used to constrain matrix and tensor models at finite $N$, where $N$ is the dimension of the matrix/tensor, taking a Gaussian model with a quartic interaction as example. For matrix models,…

High Energy Physics - Theory · Physics 2026-05-04 Samuel Laliberte , Reiko Toriumi

This paper deals with the Gaussian and bootstrap approximations to the distribution of the max statistic in high dimensions. This statistic takes the form of the maximum over components of the sum of independent random vectors and its…

Statistics Theory · Mathematics 2022-05-31 Victor Chernozhukov , Denis Chetverikov , Kengo Kato , Yuta Koike

In this paper we implement scale anisotropic transformations in the space-time in classical mechanics. The resulting system is consistent with the dispersion relation of gravity at a Lifshitz point recently considered in arXiv:0901.3775.…

High Energy Physics - Theory · Physics 2010-04-06 Juan M. Romero , Vladimir Cuesta , J. Antonio Garcia , J. David Vergara

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained…

High Energy Physics - Theory · Physics 2018-06-12 Martina Cornagliotto , Madalena Lemos , Volker Schomerus

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \cite{Wenzel08}, we re-investigate the phase transition of this model induced…

Strongly Correlated Electrons · Physics 2009-11-04 F. -J. Jiang

Strutinsky's averaging(SA) method is applied to multiquark droplets to systematically extract the smooth part of the exact quantal energy and thereby the shell correction energies. It is shown within the bag model that the…

Nuclear Theory · Physics 2009-10-30 V. S. Uma Maheswari

In this paper the capabilities of the turbulence-resolving Eulerian-Eulerian two-phase flow model to predict the suspension of mono-dispersed finite-sized solid particles in a boundary layer flow are investigated. For heavier-than-fluid…

Fluid Dynamics · Physics 2021-03-08 Antoine Mathieu , Julien Chauchat , Cyrille Bonamy , Guillaume Balarac , Tian-Jian Hsu

Low-dimensional excitonic materials have inspired much interest owing to their novel physical and technological prospects. In particular, those with strong in-plane anisotropy are among the most intriguing but short of general analyses. We…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Chern Chuang , Jianshu Cao