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A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For…

Analysis of PDEs · Mathematics 2023-05-31 Florian Behr , Georg Dolzmann , Klaus Hackl , Ghina Jezdan

We introduce the notion of relative stability conditions on triangulated categories with respect to left admissible subcategories, based on arXiv:math/0212237, and demonstrate the deformation of relative stability conditions via the…

Algebraic Geometry · Mathematics 2024-12-06 Bowen Liu , Dongjian Wu

We investigate a family of multiple-stable processes that may exhibit either long-range or short-range dependence, depending on the parameters. There are two parameters for the processes, the memory parameter $\beta\in(0,1)$ and the…

Probability · Mathematics 2023-02-10 Shuyang Bai , Yizao Wang

It is "well known" that in linear models: (1) testable constraints on the marginal distribution of observed variables distinguish certain cases in which an unobserved cause jointly influences several observed variables; (2) the technique of…

Artificial Intelligence · Computer Science 2013-01-14 David Danks , Clark Glymour

Shear yielding of glassy polymers is usually described in terms of the pressure-dependent Tresca or von Mises yield criteria. We test these criteria against molecular dynamics simulations of deformation in amorphous polymer glasses under…

Materials Science · Physics 2009-11-07 Joerg Rottler , Mark O. Robbins

We investigate the dependence of the mass function of dark-matter haloes on their environment within the cosmic web of large-scale structure. A dependence of the halo mass function on large-scale mean density is a standard element of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 David Alonso , Elizabeth Eardley , John A. Peacock

Assuming that $(X_t)_{t\in\Z}$ is a vector valued time series with a common marginal distribution admitting a density $f$, our aim is to provide a wide range of consistent estimators of $f$. We consider different methods of estimation of…

Statistics Theory · Mathematics 2007-06-13 Nicolas Ragache , Olivier Wintenberger

This paper investigates Bayesian variable selection when there is a hierarchical dependence structure on the inclusion of predictors in the model. In particular, we study the type of dependence found in polynomial response surfaces of…

Methodology · Statistics 2015-02-03 Daniel Taylor-Rodriguez , Andrew Womack , Nikolay Bliznyuk

The transition from a weak-disorder (diffusive phase) to a strong-disorder (localized phase) for directed polymers in a random environment is a well studied phenomenon. In the most common setup, it is established that the phase transition…

Probability · Mathematics 2019-03-13 Roberto Viveros

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general -…

Statistics Theory · Mathematics 2020-08-24 Alexis Derumigny , Jean-David Fermanian

We adapt arguments concerning information-theoretic convergence in the Central Limit Theorem to the case of dependent random variables under Rosenblatt mixing conditions. The key is to work with random variables perturbed by the addition of…

Probability · Mathematics 2008-10-06 Oliver Johnson

In [6], a constraint on invariant measures of bi-permutative cellular automata has been observed: fixed values at the positive indices determine almost-surely a uniform conditional probability on the subset of values of positive conditional…

Dynamical Systems · Mathematics 2026-05-28 Matan Tal

The Hall-Petch effect has been described for the past sixty years as a dependence of the strength of polycrystalline metals on the inverse square-root of grain size d. The value of the coefficient of the dependence has been the subject of…

Materials Science · Physics 2018-08-28 Y. Li , A. J. Bushby , D. J. Dunstan

We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $\bbZ$-valued transient random walk. This extends the results…

Probability · Mathematics 2007-12-24 Nadine Guillotin-Plantard , Clémentine Prieur

Selection in a time-periodic environment is modeled via the continuous-time two-player replicator dynamics, which for symmetric pay-offs reduces to the Fisher equation of mathematical genetics. For a sufficiently rapid and cyclic…

Populations and Evolution · Quantitative Biology 2019-10-30 Armen E. Allahverdyan , Sanasar G. Babajanyan , Chin-Kun Hu

By means of sophisticated Monte Carlo methods, we investigate the conformational phase diagram of a simple model for flexible polymers with explicit thickness. The thickness constraint, which is introduced geometrically via the global…

Soft Condensed Matter · Physics 2009-02-06 Thomas Vogel , Thomas Neuhaus , Michael Bachmann , Wolfhard Janke

In the seminal contribution [4] the joint weak convergence of maxima and minima of weakly dependent stationary sequences is derived under some mild asymptotic conditions. In this paper we address additionally the case of incomplete samples…

Probability · Mathematics 2014-10-08 Enkelejd Hashorva , Zhichao Weng

For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geometric reference measures. We also study geometric properties…

Dynamical Systems · Mathematics 2014-06-12 Juan Rivera-Letelier , Weixiao Shen

The aim of this article is to refine a weak invariance principle for stationary sequences given by Doukhan & Louhichi (1999). Since our conditions are not causal our assumptions need to be stronger than the mixing and causal $\theta$-weak…

Statistics Theory · Mathematics 2007-09-19 Paul Doukhan , Olivier Wintenberger

We re-investigate the asymptotic properties of the traditional OLS (pooled) estimator, $\hat{\beta} _P$, in the context of cluster dependence. The present study considers various scenarios under various restrictions on the cluster sizes and…

Methodology · Statistics 2025-01-31 Subhodeep Dey , Gopal K. Basak , Samarjit Das
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