Results 41 to 50 of about 52,018 (229)

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

Ergodicity for the $GI/G/1$-type Markov Chain [PDF]

, 2012
Ergodicity is a fundamental issue for a stochastic process. In this paper, we refine results on ergodicity for a general type of Markov chain to a specific type or the $GI/G/1$-type Markov chain, which has many interesting and important applications in ...
Mao, YongHua, Tai, Yongming, Zhao, Yiqiang Q., Zou, Jiezhong   +3 more
core  

Convergence to equilibrium for many particle systems

, 2017
The goal of this paper is to give a short review of recent results of the authors concerning classical Hamiltonian many particle systems. We hope that these results support the new possible formulation of Boltzmann's ergodicity hypothesis which sounds as
A Heslot, A Heslot, AA Lykov, AA Lykov, AA Lykov, AA Lykov, AA Lykov, AA Lykov, C Altafini, D D’Alessandro, D Revuz, L Bruneau, N Dunford, N Portenko, N Weaver, N Weaver, S Lloyd, S Meyn, S Orey, S Ponomarev, U Grenander, V Jurdjevic, Yu Kifer   +22 more
core   +1 more source

Machine Learning‐Assisted Design of BaTiO3‐Based Superparaelectric High‐Entropy Ceramics with Superior Energy Storage

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, Xiaoyan Zhang, Zhiyuan Ma, Kailong Ma, Xiwei Qi   +4 more
wiley   +1 more source

Ergodicity, graphism, and multimediality as literary strategies in the literary works by Serbian authors [PDF]

Zbornik Radova Filozofskog Fakulteta u Prištini, 2023
Starting with the explication of title terms derived from theories of ergodicity (E. Aarseth), new media and visual arts (Mitchell W. J. T., A. Hescher), i.e.
Božić Snežana V.
doaj  

Quantum Unique Ergodicity for maps on the torus

, 2005
When a map is classically uniquely ergodic, it is expected that its quantization will posses quantum unique ergodicity. In this paper we give examples of Quantum Unique Ergodicity for the perturbed Kronecker map, and an upper bound for the rate of ...
Rosenzweig, Lior
core   +1 more source

Lost in Translation? Risk‐Adjusting RMSE for Economic Forecast Performance

Journal of Forecasting, EarlyView.
ABSTRACT When used for parameter optimization and/or model selection, traditional mean squared error (MSE)–based measures of forecast accuracy often exhibit a weak or even negative correlation with the economic value of return forecasts measured by, for example, the Sharpe ratios of the resulting portfolios.
Lukas Salcher, Sebastian Stöckl, Michael Hanke   +2 more
wiley   +1 more source

Ergodicity and Mixing Properties for SDEs with α-Stable Lévy Noises

Axioms
In this paper, we consider a class of stochastic differential equations driven by multiplicative α-stable ...
Siyan Xu, Huiyan Zhao
doaj   +1 more source

Spectral ergodicity and normal modes in ensembles of sparse matrices

, 2000
We investigate the properties of sparse matrix ensembles with particular regard for the spectral ergodicity hypothesis, which claims the identity of ensemble and spectral averages of spectral correlators.
A.D. Jackson, Andersen, Anderson, Berbenni-Bitsch, Bohigas, Brody, C. Mejia-Monasterio, Flores, French, French, French, Fyodorov, Fyodorov, Fyodorov, Fyodorov, Guhr, Guhr, Guhr, Janik, Kaplan, Khorunzhy, Lee, M. Saltzer, McKane, Mirlin, Mon, Mott, Osborn, Osborn, Pluhar, Shklovskii, T. Rupp, T. Wilke, Thouless, Thouless, Thouless   +35 more
core   +1 more source

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz, Felipe Rivero, Carlos R. Takaessu Jr.   +2 more
wiley   +1 more source