Results 81 to 90 of about 3,104 (212)
The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric
, 2010 We find the horofunction boundary of the ( 2 n + 1 ) (2n+1) -dimensional Heisenberg group with the Carnot-Carathéodory distance and show that it is homeomorphic to a 2 n
Tom Klein, Andrew Nicas
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Some Results on Maps That Factor through a Tree
Analysis and Geometry in Metric Spaces, 2015 We give a necessary and sufficient condition for a map deffned on a simply-connected quasi-convex metric space to factor through a tree. In case the target is the Euclidean plane and the map is Hölder continuous with exponent bigger than 1/2, such maps ...
Züst Roger
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Vadose Zone Journal, Volume 25, Issue 3, May/June 2026.Abstract Traditional macroscopic models for water flow in the vadose zone often assume local equilibrium within a representative element volume. However, under fingering flow this assumption breaks down on a macroscale involving sub‐grid figuring because local equilibrium does not hold between the fingering and non‐fingering domains.
Hui‐Hai Liu +4 more
wiley +1 more source
New Phytologist, Volume 250, Issue 4, Page 2516-2534, May 2026.Summary Acclimation enables plants to adjust to immediate environmental fluctuations and is therefore key to the resilience of plant disease resistance in a time of climate change. Here, we report on the acclimation of Arabidopsis thaliana quantitative immune responses against the fungal pathogen Sclerotinia sclerotiorum to daily environmental ...
Marie Didelon +6 more
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Energy Technology, Volume 14, Issue 4, April 2026.This article provides a comprehensive review of loss mechanisms in the generation stage of energy systems, covering fossil, nuclear, and renewable technologies. It examines their environmental and operational implications and shows how overlooking generation losses distorts efficiency assessments.
Pooya Parvizi +4 more
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NanophotonicsWe look back at many challenges as well as unexpected successes encountered by the Mamyshev optical regenerator, which combines spectral broadening from self-phase modulation followed by offset bandpass filtering.
Finot Christophe, Rochette Martin
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Isoperimetric Inequalities in Carnot Groups
, 2012 The isoperimetric problem is a very classical problem whose history dates back to more than two thousand years ago. Roughly speaking, the isoperimetric problem is to determine the largest possible area enclosed by a closed curve which has a specified ...
Liming Wang (114648)
core
Lipschitz and bilipschitz maps on Carnot groups [PDF]
Pacific Journal of Mathematics, 2013 Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
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, 2016 © 2016 Nature publishing group I.A.M., E.R., D.P. and R.A.R. acknowledge financial support from Fundacio Privada Cellex Barcelona. I.A.M., D.P. and R.A.R. acknowledge financial support from grant NanoMQ (FIS2011-24409, MINECO). I.A.M.
R. A. Rica +11 more
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Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
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