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We provide a concise exposition with original proofs of combinatorial formulas for the 2D Ising model partition function, multi-point fermionic observables, spin and energy density correlations, for general graphs and interaction constants,…

Combinatorics · Mathematics 2019-03-15 Dmitry Chelkak , David Cimasoni , Adrien Kassel

New experimental results on the spin dependent structure functions g_1 and g_2 which are determined from deep-inelastic scattering experiments at CERN, SLAC and DESY are reported. These results are used to evaluate the Bjorken sum rule and…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Nassalski

Several recent experiments in biology study systems composed of several interacting elements, for example neuron networks. Normally, measurements describe only the collective behavior of the system, even if in most cases we would like to…

Disordered Systems and Neural Networks · Physics 2010-10-12 Vitor Sessak

This is the first part of a work devoted to the study of linear Mahler systems in several variables from the perspective of transcendence and algebraic independence. We prove two main results concerning systems that are regular singular at…

Number Theory · Mathematics 2018-09-14 Boris Adamczewski , Colin Faverjon

The one- plus two-body isospin nonconserving nuclear interactions are included in the prediction of ground state energies of fp shell nuclei using spectral distribution theory. This in turn is used to calculate the linear term in the…

Nuclear Theory · Physics 2017-12-12 Kamales Kar , Sukhendusekhar Sarkar

This is a biased survey for the Johnson homomorphisms of the automorphism groups of free groups. We just exposit some well known facts and recent developments for the Johnson homomorphisms and its related topics.

Algebraic Topology · Mathematics 2013-06-11 Takao Satoh

The purpose of this manuscript is to review my recent activity on three main research topics. The first concerns the nature of low temperature amorphous solids and their relation with the spin glass transition in a magnetic field. This is…

Disordered Systems and Neural Networks · Physics 2024-05-13 Pierfrancesco Urbani

The single pion production (SPP) in the charged-current neutrino (antineutrino) scattering off the polarized nucleon is discussed. The spin asymmetry is predicted within two approaches. The spin polarizations of the target nucleon that are…

High Energy Physics - Phenomenology · Physics 2019-03-12 Krzysztof M. Graczyk , Beata E. Kowal

The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.

Statistics Theory · Mathematics 2024-11-05 Milan Pasteka

For simulation models of pedestrian dynamics there are always the issues of calibration and validation. These are usually done by comparing measured properties of the dynamics found in observation, experiments and simulation in certain…

Physics and Society · Physics 2014-02-10 Tobias Kretz

Many widely studied graphical models with latent variables lead to nontrivial constraints on the distribution of the observed variables. Inspired by the Bell inequalities in quantum mechanics, we refer to any linear inequality whose…

Artificial Intelligence · Computer Science 2011-07-21 Greg Ver Steeg , Aram Galstyan

The problem of optimal linear estimation of functionals depending on the unknown values of a spatial temporal isotropic random field $\zeta(j,x)$, which is periodically correlated with respect to discrete time argument $j\in\mathrm Z$ and…

Statistics Theory · Mathematics 2025-10-28 Iryna Golichenko , Oleksandr Masyutka , Mykhailo Moklyachuk

Measurements of single transverse spin asymmetries in high energy inclusive processes have always shown unexpected and challenging results. Several cases are considered and discussed within a QCD approach which couples perturbative dynamics…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mauro Anselmino

Single-cell gene expression measurements encode variability spanning molecular noise, cell-to-cell heterogeneity, and technical artifacts. Mechanistic stochastic models provide powerful approaches to disentangle these sources, yet inferring…

Quantitative Methods · Quantitative Biology 2025-09-19 Christopher E. Miles

We study the statistics of single particle Lagrangian velocity in a shell model of turbulence. We show that the small scale velocity fluctuations are intermittent, with scaling exponents connected to the Eulerian structure function scaling…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , F. De Lillo , S. Musacchio

This is a comment being submitted to Physical Review Letters on a recent letter by Hellberg and Manousakis on stripes in the t-J model.

Strongly Correlated Electrons · Physics 2009-10-31 Steven R. White , D. J. Scalapino

Comprehensive set of shell model calculations for $^{78-84}$Se isotopes have been performed with recently derived interactions, namely JUN45 and jj44b for ${f_{5/2}pg_{9/2}}$ space. To study the importance of the proton excitations across…

Nuclear Theory · Physics 2013-09-12 P. C. Srivastava , M. J. Ermamatov

We study the spin-$1/2$ Ising chain with multispin interactions $K$ involving the product of $m$ successive spins, for general values of $m$. Using a change of spin variables the zero-field partition function of a finite chain is obtained…

Statistical Mechanics · Physics 2016-10-21 L. Turban

We analyze longitudinal beam and target single-spin asymmetries in semi-inclusive deep inelastic scattering and in jet deep inelastic scattering, including all possible twist-3 contributions as well as quark mass corrections. We take into…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alessandro Bacchetta , Piet J. Mulders , Fetze Pijlman

Chains of first-order SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a olynomial pseudo-supersymmetry of the system. Simple determinant formulas for the final…

Quantum Physics · Physics 2009-11-13 V. V. Shamshutdinova , Boris F. Samsonov , D. M. Gitman
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