Results 61 to 70 of about 13,145 (245)
SUBGEOMETRIC ERGODICITY AND beta-MIXING [PDF]
, 2021 It is well known that stationary geometrically ergodic Markov chains are beta-mixing (absolutely regular) with geometrically decaying mixing coefficients.
Saikkonen, Pentti, Meitz, Mika
core +1 more source
Musical Chemistry and Spectroscopy: Analogies Bridging Two Worlds in Multiple Dimensions
Helvetica Chimica Acta, EarlyView.Music and spectroscopy speak the same language: that of fluctuations, line shapes, and ensembles. Herein, we establish useful analogies between music, chemistry, and spectroscopy, extending even to multidimensional and time‐resolved spectroscopies, with a mathematically‐grounded derivation and motivation.
Ricardo J. Fernández‐Terán
wiley +1 more source
Time Integrators for Molecular Dynamics
Entropy, 2013 This paper invites the reader to learn more about time integrators for Molecular Dynamics simulation through a simple MATLAB implementation. An overview of methods is provided from an algorithmic viewpoint that emphasizes long-time stability and finite ...
Nawaf Bou-Rabee
doaj +1 more source
Ergodicity breaking and localization [PDF]
Physical Review E, 2016 We study the joint action of the non-Poisson renewal events (NPR) yielding Continuous Time Random Walk (CTRW) with index alpha < 1 and two different generators of Hurst coefficient H not equal to 0.5, one generating fractional Brownian motion (FBM) and another scaled Brownian motion (SBM). We discuss the ergodicity breaking emerging from these joint
Geneston, Elvis L. +4 more
openaire +4 more sources
Scaling turbulence drives the general circulation
Quarterly Journal of the Royal Meteorological Society, EarlyView.The NOAA Gulfstream SP4, which deployed the GPS dropsondes over the NE Pacific Ocean as part of the Winter Storms Project during the January–March periods of 2004, 2005 and 2006. Abstract Statistical multifractal analysis of airborne and dropsonde observations is used to show that persistence of velocity after molecular collisions breaks the continuous
Adrian F. Tuck
wiley +1 more source
Ergodicity Breaking in Area-Restricted Search of Avian Predators
Physical Review X, 2022 Quantifying and comparing patterns of dynamical ecological systems requires averaging over measurable quantities. For example, to infer variation in movement and behavior, metrics such as step length and velocity are averaged over large ensembles.
Ohad Vilk +6 more
doaj +1 more source
Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]
, 2009 We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core
Avoiding ergodicity and turbulence in R-3 vector fields
, 2003 We show that analytic R-3 vector fields having the property of being transversal to either analytic functions or foliations F-2, or parallel. to a foliation, are free from ergodicity and turbulence.
Campoamor Stursberg, Otto-Rudwig +2 more
core +1 more source
Evaluation and assimilation of Arctic Weather Satellite data in the AROME‐Arctic forecast system
Quarterly Journal of the Royal Meteorological Society, EarlyView.The Arctic Weather Satellite (AWS), launched in August 2024, is a prototype for the future EPS–Sterna constellation of small satellites carrying an innovative microwave sounder. We present the first assessment of AWS in the regional AROME‐Arctic numerical weather prediction system, covering post‐launch calibration results and the impact of AWS ...
Stéphanie Guedj +2 more
wiley +1 more source
Ergodic Quantum Computing [PDF]
Quantum Information Processing, 2005 We propose a (theoretical ;-) model for quantum computation where the result can be read out from the time average of the Hamiltonian dynamics of a 2-dimensional crystal on a cylinder. The Hamiltonian is a spatially local interaction among Wigner-Seitz cells containing 6 qubits.
Dominik Janzing, Pawel Wocjan
openaire +3 more sources