Approximation of the Fractional Schrödinger Propagator on Compact Manifolds

2021 ◽  
Vol 37 (10) ◽  
pp. 1485-1496
Author(s):  
Jie Cheng Chen ◽  
Da Shan Fan ◽  
Fa You Zhao
Keyword(s):  
Compact Manifolds

scholarly journals Global branches of periodic solutions for forced delay differential equations on compact manifolds

2007 ◽  
Vol 233 (2) ◽  
pp. 404-416 ◽  
Author(s):  
Pierluigi Benevieri ◽  
Alessandro Calamai ◽  
Massimo Furi ◽  
Maria Patrizia Pera
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Delay Differential Equations ◽  
Compact Manifolds ◽  
Delay Differential

Smoothness of stable holonomies inside center-stable manifolds

2021 ◽  
pp. 1-26
Author(s):  
AARON BROWN
Keyword(s):  
Compact Manifolds ◽  
Stable Manifolds ◽  
Entropy Formula ◽  
Partially Hyperbolic

Abstract Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for $C^{1+\beta }$ diffeomorphisms are uniformly bi-Lipschitz and, in fact, $C^{1+\mathrm {H\ddot{o}lder}}$ . This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic $C^{1+\beta }$ diffeomorphisms and verifies that the Ledrappier–Young entropy formula holds for $C^{1+\beta }$ diffeomorphisms of compact manifolds.

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