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The polarisation of cells and tissues is fundamental for tissue morphogenesis during biological development and regeneration. A deeper understanding of biological polarity pattern formation can be gained from the consideration of pattern…

细胞行为 · 定量生物学 2017-10-23 Karl B. Hoffmann , Anja Voss-Böhme , Jochen C. Rink , Lutz Brusch

We are interested in comparing probability distributions defined on Riemannian manifold. The traditional approach to study a distribution relies on locating its mean point and finding the dispersion about that point. On a general manifold…

统计理论 · 数学 2008-07-22 Nikolay H. Balov

We study a generalization of the Wigner function to arbitrary tuples of hermitian operators. We show that for any collection of hermitian operators A1...An , and any quantum state there is a unique joint distribution on R^n, with the…

量子物理 · 物理学 2020-07-09 René Schwonnek , Reinhard F. Werner

We present a study of the construction and spatial properties of localized Wannier orbitals in large supercells of insulating solids using plane waves as the underlying basis. The Pipek-Mezey (PM) functional in combination with intrinsic…

化学物理 · 物理学 2025-10-22 Benjamin Wöckinger , Alexander Rumpf , Tobias Schäfer

This study addresses a class of linear mixed-integer programming (MILP) problems that involve uncertainty in the objective function parameters. The parameters are assumed to form a random vector, whose probability distribution can only be…

最优化与控制 · 数学 2024-03-07 Sergey S. Ketkov

The maximum entropy method (MEM) and the Gaussian process (GP) regression, which are both well-suited for the treatment of inverse problems, are used to reconstruct net-baryon number distributions based on a finite number of cumulants of…

高能物理 - 唯象学 · 物理学 2023-03-21 Chuang Huang , Yang-yang Tan , Rui Wen , Shi Yin , Wei-jie Fu

In reconstituting k-mer models, extended objects which occupy several sites on a one dimensional lattice, undergo directed or undirected diffusion, and reconstitute -when in contact- by transferring a single monomer unit from one k-mer to…

统计力学 · 物理学 2016-08-02 Amit Kumar Chatterjee , Bijoy Daga , P. K. Mohanty

Calculating the Wigner distribution function in the reaction plane, we are able to probe the phase-space behavior in time-dependent Hartree-Fock during a heavy-ion collision. We compare the Wigner distribution function with the smoothed…

核理论 · 物理学 2015-05-27 N. Loebl , J. A. Maruhn , P. -G. Reinhard

We discuss the quark phase-space or Wigner distributions of the nucleon which combine in a single picture all the information contained in the generalized parton distributions and the transverse-momentum dependent parton distributions. In…

高能物理 - 唯象学 · 物理学 2015-06-11 Cedric Lorce , Barbara Pasquini

We obtain exact formulas for the absolute raw and central moments of the variance-gamma distribution, as infinite series involving the modified Bessel function of the second kind and the modified Lommel function of the first kind. When the…

概率论 · 数学 2024-09-10 Robert E. Gaunt

We study the problem of reconstructing the probability measure of the Curie-Weiss model from a sample of the voting behaviour of a subset of the population. While originally used to study phase transitions in statistical mechanics, the…

概率论 · 数学 2025-08-06 Miguel Ballesteros , Ivan Naumkin , Gabor Toth

We calculate reduced moments $\overline \xi_q$ of the matter density fluctuations, up to order $q=5$, from counts in cells produced by Particle--Mesh numerical simulations with scale--free Gaussian initial conditions. We use power--law…

天体物理学 · 物理学 2009-10-22 F. Lucchin , S. Matarrese , A. L. Melott , L. Moscardini

Using the overlap-Dirac operator proposed by Neuberger, we have computed in lattice QCD the one-loop renormalization factors of ten operators which measure the lowest two moments of unpolarized and polarized non-singlet quark distributions.…

高能物理 - 格点 · 物理学 2015-06-25 Stefano Capitani

We study the Brownian motion of a particle in a bounded circular 2-dimensional domain, in search for a stationary target on the boundary of the domain. The process switches between two modes: one where it performs a two-dimensional…

统计力学 · 物理学 2018-06-13 Abhinava Chatterjee , Christos Christou , Andreas Schadschneider

A class of signed joint probability measures for n arbitrary quantum observables is derived and studied based on quasi-characteristic functions with symmetrized operator orderings of Margenau-Hill type. It is shown that the Wigner…

量子物理 · 物理学 2024-10-01 Ralph Sabbagh , Olga Movilla Miangolarra , Hamid Hezari , Tryphon T. Georgiou

We apply extensive Monte Carlo simulations to study the probability distribution $P(m)$ of the order parameter $m$ for the simple cubic Ising model with periodic boundary condition at the transition point. Sampling is performed with the…

计算物理 · 物理学 2020-03-18 Jiahao Xu , Alan M. Ferrenberg , David P. Landau

We have constructed maximally-localized Wannier functions for prototype structures of solid molecular hydrogen under pressure, starting from LDA and tight-binding Bloch wave functions. Each occupied Wannier function can be associated with…

材料科学 · 物理学 2009-10-31 Ivo Souza , Richard M. Martin , Nicola Marzari , Xinyuan Zhao , David Vanderbilt

We describe and implement a first-principles algorithm based on maximally-localized Wannier functions for calculating the shift-current response of piezoelectric crystals in the independent-particle approximation. The proposed algorithm…

材料科学 · 物理学 2018-06-29 Julen Ibañez-Azpiroz , Stepan S. Tsirkin , Ivo Souza

Divergences that occur in density matrices of decay and scattering processes are shown to be regularized by tracing and unitarity or the optical theorem. These divergences are regularized by the lifetime of the decaying particle or the…

高能物理 - 唯象学 · 物理学 2024-06-13 Shanmuka Shivashankara , Patti Rizzo , Nicole Cafe

The performance of organic optoelectronic devices is critically dependent on how molecules orient within organic thin films. Yet, standard characterization techniques only reveal the first and second moments of the molecular orientation…