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We study stability of the eigenvalues of the generator of a one dimensional reversible diffusion process satisfying some natural conditions. The proof is based on Stein's method. In particular, these results are applied to the Normal…

Classical Analysis and ODEs · Mathematics 2022-06-01 Jordan Serres

It is shown that any three-dimensional periodic configuration that is strictly stable for the area functional is exponentially stable for the surface diffusion flow and for the Mullins-Sekerka or Hele-Shaw flow. The same result holds for…

Analysis of PDEs · Mathematics 2016-06-16 Emilio Acerbi , Nicola Fusco , Vesa Julin , Massimiliano Morini

Tempered stable distributions are frequently used in financial applications (e.g., for option pricing) in which the tails of stable distributions would be too heavy. Given the non-explicit form of the probability density function,…

Statistics Theory · Mathematics 2024-07-08 Till Massing

A Rayleigh B\'enard instability study using the energy conserving dissipative particle dynamics method is presented here for the first time. The simulation is performed on an ideal dissipative particle dynamics fluid in a three dimensional…

Statistical Mechanics · Physics 2012-01-19 Anuj Chaudhri , Jennifer R. Lukes

We investigate properties and describe examples of tilt-stable objects on a smooth complex projective threefold. We give a structure theorem on slope semistable sheaves of vanishing discriminant, and describe certain Chern classes for which…

Algebraic Geometry · Mathematics 2012-09-14 Jason Lo , Yogesh More

We derive an explicit representation for the transition law of a $p$-tempered $\alpha$-stable process of Ornstein-Uhlenbeck-type and use it to develop a methodology for simulation. Our results apply in both the univariate and multivariate…

Probability · Mathematics 2020-05-20 Michael Grabchak

Our recent development of a novel research burner has made it possible to experimentally investigate truly unstretched and planar diffusion flames. Hence it has become feasible to directly validate theoretical models for thermal-diffusive…

Fluid Dynamics · Physics 2025-04-09 Etienne Robert , Peter A. Monkewitz

We have measured the transverse ultrasonic attenuation, $\alpha_{q\epsilon}$, in a well-characterized single crystal of $UPt_3$ for propagation direction, ${\bf q}$, in the basal plane and polarization, $\epsilon$, in and out of the plane.…

Condensed Matter · Physics 2009-10-28 Brett Ellman , Louis Taillefer , Mario Poirier

We demonstrate that the correlations observed in conditioned multiplier distributions of the energy dissipation in fully developed turbulence can be understood as an unavoidable artefact of the observation procedure. Taking the latter into…

chao-dyn · Physics 2009-10-31 Bruno Jouault , Peter Lipa , Martin Greiner

Within the ghost-free Analytic Perturbation Theory (APT), devised in the last decade for low energy QCD, simple approximations are proposed for 3-loop analytic couplings and their effective powers, in both the space-like (Euclidean) and…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Shirkov , A. V. Zayakin

The correlation of $\alpha\alpha$ was probed via measuring the transverse momentum $p_{T}$ and width $\delta p_{T}$ of one $\alpha$, for the first time, which represents the spatial and dynamical essentialities of the initial coupling state…

It is shown that power law phase space distributions describe marginally stable Gibbsian equilibria far from thermal equilibrium which are expected to occur in collisionless plasmas containing fully developed quasi-stationary turbulence.…

Plasma Physics · Physics 2008-04-22 R. A. Treumann , C. H. Jaroschek

Three-way data can be conveniently modelled by using matrix variate distributions. Although there has been a lot of work for the matrix variate normal distribution, there is little work in the area of matrix skew distributions. Three matrix…

Methodology · Statistics 2018-08-15 Michael P. B. Gallaugher , Paul D. McNicholas

We introduce a class of distributions originating from an exponential family and having a property related to the strict stability property. A characteristic function representation for this family is obtained and its properties are…

Methodology · Statistics 2010-06-11 Lev B. Klebanov , Grigory Temnov

The superconducting instability in a non-Fermi liquid in $ d>1$ is considered. For a particular form of the single particle spectral function with homogeneous scaling $A(\Lambda k, \Lambda \omega) = \Lambda^{\alpha} A(k, \omega)$ it is…

Condensed Matter · Physics 2009-10-22 A. V. Balatsky

The q-exponential distributions, which are generalizations of the Zipf-Mandelbrot power-law distribution, are frequently encountered in complex systems at their stationary states. From the viewpoint of the principle of maximum entropy, they…

Statistical Mechanics · Physics 2009-11-07 Sumiyoshi Abe

We introduce a large and flexible class of discrete tempered stable distributions, and analyze the domains of attraction for both this class and the related class of positive tempered stable distributions. Our results suggest that these are…

Probability · Mathematics 2020-01-22 Michael Grabchak

The basic parameters of supersymmetric theories can be determined at future e^+e^- linear colliders with high precision. We investigate in this report how polarisation measurements in \tilde{\tau} and \tilde{t} or \tilde{b} decays to \tau…

High Energy Physics - Phenomenology · Physics 2011-01-27 E. Boos , H. -U. Martyn , G. Moortgat-Pick , M. Sachwitz , A. Sherstnev , P. M. Zerwas

Let $\alpha \in (0,2)$ and let $\beta>0$. Fix $-\pi<\varphi\leq \pi$ such that $|\varphi|>\alpha \pi/2$. We obtain asymptotic upper bounds on the Fourier transform of the radially symmetric tempered distribution \begin{equation*}…

Classical Analysis and ODEs · Mathematics 2026-04-28 Ahmed A. Abdelhakim

This contribution is a follow-up of a recent paper by the authors on adaptive, non-linear time-frequency transforms, focusing on the STFT based transforms. The adaptivity is provided by a focus function, that depends on the analyzed…

Classical Analysis and ODEs · Mathematics 2025-06-11 Pierre Warion , Bruno Torrésani