scholarly journals Decay of Correlations for Non-Hölderian Dynamics. A Coupling Approach

1999 ◽  
Vol 4 (0) ◽  
Author(s):  
Xavier Bressaud ◽  
Roberto Fernandez ◽  
Antonio Galves
1998 ◽  
Vol 77 (2) ◽  
pp. 305-311 ◽  
Author(s):  
Thomas Scheidsteger, Rolf Schilling

2019 ◽  
Author(s):  
Timothy Newhouse ◽  
Aneta Turlik ◽  
Yifeng Chen ◽  
Anthony Scruse

<div> <p>The total synthesis of principinol D, a rearranged kaurane diterpenoid, is reported. This grayanane natural product is constructed via a convergent fragment coupling approach, wherein the central 7-membered ring is synthesized at a late stage. The bicyclo[3.2.1]octane fragment is accessed by a Ni-catalyzed α-vinylation reaction. Strategic reductions include a diastereoselective SmI<sub>2</sub>-mediated ketone reduction with PhSH and a new protocol for selective ester reduction in the presence of ketones. The convergent strategy reported herein may be an entry point to the larger class of kaurane diterpenoids.</p> </div>


2021 ◽  
pp. 1-18
Author(s):  
CHRISTOPHE GALLESCO ◽  
DANIEL Y. TAKAHASHI

Abstract Mixing rates, relaxation rates, and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known for non-summable variations. This paper exhibits upper bounds for these quantities for dynamics defined by potentials with square-summable variations. We obtain these bounds as corollaries of a new block coupling inequality between pairs of dynamics starting with different histories. As applications of our results, we prove a new weak invariance principle and a Hoeffding-type inequality.


2021 ◽  
pp. 1-16
Author(s):  
Sindhu Kalimisetty ◽  
Amanpreet Singh ◽  
Durga Rao Korada Hari Venkata ◽  
Venkateshwar Rao V ◽  
Vazeer Mahammood

2021 ◽  
Author(s):  
F. Wieland Goetzke ◽  
Alexander M. L. Hell ◽  
Lucy van Dijk ◽  
Stephen P. Fletcher

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