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High CD44 expression and enhanced E-selectin binding identified as biomarkers of chemoresistant leukemic cells in human T-ALL. [PDF]
Calvo J+15 more
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Understanding functional abdominal pain disorders among children: a multidisciplinary expert consensus statement. [PDF]
Vandenplas Y+11 more
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Aggregation Behaviour as an Adaptive Reproductive Strategy in a Marine Ecosystem Engineer. [PDF]
Uguen M+4 more
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Morrey–Campanato functional spaces for Carnot groups
Banach Journal of Mathematical Analysis, 2023We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the ...
N. Cangiotti, M. Capolli
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A coupling strategy for Brownian motions at fixed time on Carnot groups using Legendre expansion
Electronic Journal of ProbabilityWe propose a new simple construction of a coupling at a fixed time of two sub-Riemannian Brownian motions on the Heisenberg group and on the free step 2 Carnot groups.
M. Arnaudon+3 more
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Russian Universities Reports. Mathematics
For a 2-step Carnot group D_n, "dim" D_n=n+1, with horizontal distribution of corank 1, we proved that the minimal number N_(X_(D_n ) ) such that any two points u,v∈D_n can be joined by some basis horizontal k-broken line (i.e.
A. Greshnov, R. I. Zhukov
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For a 2-step Carnot group D_n, "dim" D_n=n+1, with horizontal distribution of corank 1, we proved that the minimal number N_(X_(D_n ) ) such that any two points u,v∈D_n can be joined by some basis horizontal k-broken line (i.e.
A. Greshnov, R. I. Zhukov
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On Gradient Estimates of the Heat Semigroups on Step-Two Carnot Groups
Potential AnalysisIn this work, we give a sufficient condition for a step-two Carnot group to satisfy the quasi Bakry-\'Emery curvature condition. As an application, we establish the gradient estimate for the heat semigroup on the free step-two Carnot group with three ...
Sheng-Chen Mao, Ye Zhang
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Riemannian approximation in Carnot groups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021We present self-contained proofs of the stability of the constants in the volume doubling property and the Poincaré and Sobolev inequalities for Riemannian approximations in Carnot groups. We use an explicit Riemannian approximation based on the Lie algebra structure that is suited for studying nonlinear subelliptic partial differential equations.
András Domokos+2 more
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WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS
Communications in Contemporary Mathematics, 2012In this paper we define Maxwell's equations in the setting of the intrinsic complex of differential forms in Carnot groups introduced by M. Rumin. It turns out that these equations are higher-order equations in the horizontal derivatives. In addition, when looking for a vector potential, we have to deal with a new class of higher-order evolution ...
FRANCHI, BRUNO, TESI, MARIA CARLA
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