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We investigate how probability tools can be useful to study representations of non-amenable groups. A suitable notion of "probabilistic subgroup" is proposed for locally compact groups, and is valuable to induction of representations. Nonamenable groups ad ...
This paper reports the design, fabrication, electrical and thermal characterization, as well as attachment and stability of a flexible photoelectric neural interface (PENI). Upon the wire-bonding technology, three micro LED (mu LED) chips are well-connecte ...
We provide a geometric characterization of rigidity of equality cases in Ehrhard ' s symmetrization inequality for Gaussian perimeter. This condition is formulated in terms of a new measure-theoretic notion of connectedness for Borel sets, inspired by Fede ...
A method for achieving a representation of an object within a data structure for a Computer Aided Design system employing a Medial Axis Transformation (MAT), the representation of the object comprising a set of adjacent bounded surface elements called MAT ...
A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...
Let X be a simplicial set. We construct a novel adjunction be- tween the categories RX of retractive spaces over X and ComodX+ of X+- comodules, then apply recent work on left-induced model category structures [5], [16] to establish the existence of a left ...
The invention relates to an upper limb rehabilitation system for rehabilitating an upper limb of a subject and comprising a mobile platform coupled to a fixed platform. The mobile platform comprises an articulate handle assembly movable, during a rehabilit ...
The invention relates to a polyamide material containing a polyamide as the matrix polyamide and fibrillar polyamide particles, wherein at least 10 vol.% of the fibrillar polyamide particles, based on the total volume of the fibrillar polyamide particles, ...
There is a classical "duality" between homotopy and homology groups in that homotopy groups are compatible with homotopy pullbacks (every homotopy pullback gives rise to a long exact sequence in homotopy), while homology groups are compatible with homotopy ...
We present an efficient matching method for generalized geometric graphs. Such graphs consist of vertices in space connected by curves and can represent many real world structures such as road networks in remote sensing, or vessel networks in medical imagi ...