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We introduce a notion of weakly log-canonical Poisson structures on positive varieties with potentials. Such a Poisson structure is log-canonical up to terms dominated by the potential. To a compatible real form of a weakly log-canonical…

Representation Theory · Mathematics 2018-02-07 Anton Alekseev , Arkady Berenstein , Benjamin Hoffman , Yanpeng Li

Accurate asymptotic solutions are presented for axisymmetric deformation of thin layers constrained by either two rigid plates or two rigid spheres. Those solutions are developed using Saint-Venant's principle and the layer thinness as the…

Analysis of PDEs · Mathematics 2021-02-16 Alexander B. Movchan , Kirill R. Rebrov , Gregory J. Rodin

This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects, we use a recently proposed mixed form where we have a…

Numerical Analysis · Mathematics 2021-06-18 Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

We handshake statistical mechanics with continuum mechanics to develop a methodology for consistent evaluation of the continuum scale properties of graphene. The scope is kept limited to elastic modulus, $E$, which has been reported to vary…

Materials Science · Physics 2020-04-21 Sourabh S Gandhi , Puneet Kumar Patra

We present theoretical and numerical studies on stiff, linear polyelectrolytes within the framework of the cell model. We first review analytical results obtained on a mean-field Poisson-Boltzmann level, and then use molecular dynamics…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Christian Holm

The scattering of quantum particles by non-hermitian (generally nonlocal) potentials in one dimension may result in asymmetric transmission and/or reflection from left and right incidence. Eight generalized symmetries based on the discrete…

Quantum Physics · Physics 2018-01-17 A. Ruschhaupt , T. Dowdall , M. A. Simón , J. G. Muga

We present results for the $SU(3)$ breaking ratios of decay constants $f_{D_s}/f_D$ and $f_{B_s}/f_B$ and - for the first time with physical pion masses - the ratio of bag parameters $B_{B_s}/B_{B_d}$, as well as the ratio $\xi$, forming…

High Energy Physics - Lattice · Physics 2020-06-22 Peter A Boyle , Luigi Del Debbio , Nicolas Garron , Andreas Juttner , Amarjit Soni , Justus Tobias Tsang , Oliver Witzel

In the present work, we derive functional upper bounds for the potential error arising from finite-element boundary-element coupling formulations for a nonlinear Poisson-type transmission problem. The proposed a posteriori error estimates…

Numerical Analysis · Mathematics 2026-02-17 Alexander Freiszlinger , Dirk Pauly , Dirk Praetorius , Michael Schomburg

A recent analysis of the LEP data shows an interesting deviation from lepton universality in W boson decays. An excess at the level of 2.8 sigma is found in the tau mode branching ratio with respect to the other two modes. It is suggested…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jae-hyeon Park

Simulations are used to find the zero temperature jamming threshold, $\phi_j$, for soft, bidisperse disks in the presence of small fixed particles, or "pins", arranged in a lattice. The presence of pins leads, as one expects, to a decrease…

Soft Condensed Matter · Physics 2022-10-17 Prairie Wentworth-Nice , Sean A. Ridout , Brian Jenike , Ari Liloia , Amy L. Graves

We consider the asymptotic distribution of a cell in a 2 x ... x 2 contingency table as the fixed marginal totals tend to infinity. The asymptotic order of the cell variance is derived and a useful diagnostic is given for determining…

Statistics Theory · Mathematics 2018-04-17 Quan Zhou

In this article we describe our studies of the sigma meson, f_0(500), using two-pion correlation functions. We use lattice quantum chromodynamics in the quenched approximation with so-called clover fermions. By working at unphysical pion…

High Energy Physics - Lattice · Physics 2017-08-23 Dean Howarth , Joel Giedt

A random matrix ensemble incorporating both GUE and Poisson level statistics while respecting $U(N)$ invariance is proposed and shown to be equivalent to a system of noninteracting, confined, one dimensional fermions at finite temperature.

Condensed Matter · Physics 2009-10-22 Moshe Moshe , Herbert Neuberger , Boris Shapiro

In this paper, we study compound bi-free Poisson distributions for {\sl two-faced families of random variables}. We prove a Poisson limit theorem for compound bi-free Poisson distributions. Furthermore, a bi-free infinitely divisible…

Operator Algebras · Mathematics 2019-05-10 Mingchu Gao

In this article, the design of secure lattice coset codes for general wireless channels with fading and Gaussian noise is studied. Recalling the eavesdropper's probability and information bounds, a variant of the latter is given from which…

Information Theory · Computer Science 2016-08-02 Amaro Barreal , Alex Karrila , David Karpuk , Camilla Hollanti

We show that various notions of integrability for Poisson brackets are all equivalent, and we give the precise obstructions to integrating Poisson manifolds. We describe the integration as a symplectic quotient, in the spirit of the Poisson…

Differential Geometry · Mathematics 2007-05-23 Marius Crainic , Rui Loja Fernandes

For the three-dimensional random Ising model, the effective sextic coupling constant v_6 and the nonlinear susceptibilities of the fourth (chi_4) and sixth (chi_6) orders are calculated at criticality. These quantities are shown to differ…

Statistical Mechanics · Physics 2009-11-07 D. V. Pakhnin , A. I. Sokolov , B. N. Shalaev

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

Information Theory · Computer Science 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

We present a constructive and self-contained approach to data driven infinite partition-of-unity copulas that were recently introduced in the literature. In particular, we consider negative binomial and Poisson copulas and present a…

Risk Management · Quantitative Finance 2020-12-17 Dietmar Pfeifer , Andreas Mändle , Olena Ragulina

Using density functional theory combined with a semi-empirical van der Waals dispersion correction, we have investigated the stability of lattice defects including boron vacancy, substitutional and interstitial X (X=H, C, B, N, O) and…

Materials Science · Physics 2017-05-12 V. Wang , W. T. Geng
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