10 citations · 22 across the 10 of their papers we have counts for
11 papers
Johann Heinrich Lambert's memoir "Theorie der Parallellinien": A review with commentary
Athanase Papadopoulos, Guillaume Théret
We review the memoir \emph{heorie der Parallellinien} by Johann Heinrich Lambert, written in 1766. Lambert, a victim of the prejudices of his time, conceived this memoir as an atte…
Entropy production versus memory effects in two-level open quantum systems
Guillaume Théret, Dominique Sugny, Camille L. Latune
We compare several definitions of entropy production rate introduced in the literature from a large variety of situations and motivations, and then analyze their relations with mem…
Characterization of P-divisibility in two-level open quantum systems
G. Théret, C. Lombard-Latune, D. Sugny
We study different characterizations of P-divisibility in two-level open quantum systems whose dynamics are governed by a time-local master equation with time-dependent relaxation…
Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
G. Théret, D. Sugny
We study the concepts of complete positivity, positivity and non-Markovianity in a two-level open quantum system whose dynamics are governed by a time-local quantum master equation…
On Thurston's Stretch Lines in Teichmüller Space
Guillaume Théret
The Teichmüller space of a surface is equipped with Thurston's asymmetric metric. Stretch lines are oriented geodesics for this metric on . We…
Hyperbolic geometry in the work of Johann Heinrich Lambert
Athanase Papadopoulos, Guillaume Théret
The memoir Theorie der Parallellinien (1766) by Johann Heinrich Lambert is one of the founding texts of hyperbolic geometry, even though its author's aim was, like many of his pre-…
Convexity of length functions and Thurston's shear coordinates
Guillaume Théret
We show that the length function of a measured geodesic lamination is convex in Thurston's shear coordinates over Teichmüller space and strictly convex for generic laminations. We…
The space of measured foliations of the hexagon
Athanase Papadopoulos, Guillaume Théret
The theory of geometric structures on a surface with nonempty boundary can be developed by using a decomposition of such a surface into hexagons, in the same way as the theory of g…
On the classification of mapping class actions on Thurston's asymmetric metric
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We study the action of the elements of the mapping class group of a surface of finite type on the Teichmüller space of that surface equipped with Thurston's asymmetric metric. We c…
Shortening all the simple closed geodesics on surfaces with boundary
Athanase Papadopoulos, Guillaume Théret
We give a proof of an unpublished result of Thurston showing that given any hyperbolic metric on a surface of finite type with nonempty boundary, there exists another hyperbolic me…
On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We define and study metrics and weak metrics on the Teichmueller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the…