11,381 research outputs found
Some remarks on K-lattices and the Adelic Heisenberg Group for CM curves
We define an adelic version of a CM elliptic curve which is equipped with
an action of the profinite completion of the endomorphism ring of . The
adelic elliptic curve so obtained is provided with a natural embedding into the
adelic Heisenberg group. We embed into the adelic Heisenberg group the set of
commensurability classes of arithmetic -dimensional -lattices
(here and subsequently, denotes a quadratic imaginary number
field) and define theta functions on it. We also embed the groupoid of
commensurability modulo dilations into the union of adelic Heisenberg groups
relative to a set of representatives of elliptic curves with -multiplication
( is the ring of algebraic integers of ). We thus get adelic
theta functions on the set of -dimensional -lattices and on the
groupoid of commensurability modulo dilations. Adelic theta functions turn out
to be acted by the adelic Heisenberg group and behave nicely under complex
automorphisms (Theorems 6.12 and 6.14).Comment: 25 pages, no figures. Extensively revised version according to the
comments of the reviewer
Non-Associative Geometry of Quantum Tori
We describe how to obtain the imprimitivity bimodules of the noncommutative
torus from a "principal bundle" construction, where the total space is a
quasi-associative deformation of a 3-dimensional Heisenberg manifold
Multidimensional stochastic differential equations with distributional drift
This paper investigates a time-dependent multidimensional stochastic
differential equation with drift being a distribution in a suitable class of
Sobolev spaces with negative derivation order. This is done through a careful
analysis of the corresponding Kolmogorov equation whose coefficient is a
distribution
Anomalous dissipation in a stochastic inviscid dyadic model
A stochastic version of an inviscid dyadic model of turbulence, with
multiplicative noise, is proved to exhibit energy dissipation in spite of the
formal energy conservation. As a consequence, global regular solutions cannot
exist. After some reductions, the main tool is the escape bahavior at infinity
of a certain birth and death process.Comment: Published in at http://dx.doi.org/10.1214/11-AAP768 the Annals of
Applied Probability (http://www.imstat.org/aap/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Piezoelectric vibration energy harvesting from airflow in HVAC (Heating Ventilation and Air Conditioning) systems
This study focuses on the design and wind tunnel testing of a high efficiency Energy Harvesting device, based on piezoelectric materials, with possible applications for the sustainability of smart buildings, structures and infrastructures. The development of the device was supported by ESA (the European Space Agency) under a program for the space technology transfer in the period 2014-2016. The EH device harvests the airflow inside Heating, Ventilation and Air Conditioning (HVAC) systems, using a piezoelectric component and an appropriate customizable aerodynamic appendix or fin that takes advantage of specific airflow phenomena (vortex shedding and galloping), and can be implemented for optimizing the energy consumption inside buildings. Focus is given on several relevant aspects of wind tunnel testing: different configurations for the piezoelectric bender (rectangular, cylindrical and T-shaped) are tested and compared, and the effective energy harvesting potential of a working prototype device is assessed
Anomalous dissipation in a stochastic inviscid dyadic model
A stochastic version of an inviscid dyadic model of turbulence, with
multiplicative noise, is proved to exhibit energy dissipation in spite of the
formal energy conservation. As a consequence, global regular solutions cannot
exist. After some reductions, the main tool is the escape bahavior at infinity
of a certain birth and death process.Comment: Published in at http://dx.doi.org/10.1214/11-AAP768 the Annals of
Applied Probability (http://www.imstat.org/aap/) by the Institute of
Mathematical Statistics (http://www.imstat.org
- …