Results 31 to 40 of about 41,266 (173)
A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson
Discrete Analysis, 2019 A short proof of a conjecture of Erdős proved by Moreira, Richter and Robertson, Discrete Analysis 2019:19, 10 pp. The following question, sometimes known as the Erdős sumset conjecture, was asked by Erdős several decades ago.
Bernard Host
doaj +1 more source
Invariant Sets in Quasiperiodically Forced Dynamical Systems
, 2019 This paper addresses structures of state space in quasiperiodically forced dynamical systems. We develop a theory of ergodic partition of state space in a class of measure-preserving and dissipative flows, which is a natural extension of the existing ...
Mezić, Igor, Susuki, Yoshihiko
core +1 more source
Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
wiley +1 more source
The prediction of future from the past: an old problem from a modern perspective
, 2012 The idea of predicting the future from the knowledge of the past is quite natural when dealing with systems whose equations of motion are not known. Such a long-standing issue is revisited in the light of modern ergodic theory of dynamical systems and ...
A. Vulpiani +14 more
core +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Tensor product random matrix theory
Physical Review ResearchThe evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy.
Alexander Altland +2 more
doaj +1 more source
Spectral Rate Theory for Two-State Kinetics
Physical Review X, 2014 Classical rate theories often fail in cases where the observable(s) or order parameter(s) used is a poor reaction coordinate or the observed signal is deteriorated by noise, such that no clear separation between reactants and products is possible.
Jan-Hendrik Prinz +2 more
doaj +1 more source
Genericity in Topological Dynamics
, 2006 We study genericity of dynamical properties in the space of homeomorphisms of the Cantor set and in the space of subshifts of a suitably large shift space.
Ageev +7 more
core +3 more sources
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This study employed an adaptive iterative strategy combining machine learning algorithms, domain knowledge, experimental design, and experimental feedback to aim to precisely and quickly discover high‐entropy ceramics with excellent energy storage performance.
Haowen Liu +4 more
wiley +1 more source
Regional Adjustments to NGA‐West2 Ground‐Motion Models for Turkey
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT This paper presents a ground‐motion model updating (GMMU) framework to adjust NGA‐West2 models for predicting a set of intensity measures in Turkey, including peak ground acceleration (PGA), peak ground velocity (PGV), and pseudo‐spectral acceleration (PSA) at periods ranging from 0.01 to 10 s. The GMMU framework integrates bias identification
Mao‐Xin Wang, Gang Wang
wiley +1 more source