DSpace Collection:
http://www.openstarts.units.it:80/dspace/handle/10077/4003
2014-10-22T22:31:49ZVariational Theory for Liouville Equations with Singularities
http://www.openstarts.units.it:80/dspace/handle/10077/4011
Title: Variational Theory for Liouville Equations with Singularities
Authors: Malchiodi, Andrea
Abstract: In this note we consider a singular Liouville equation on
compact surfaces, arising from the study of Chern-Simons vortices. Using
improved versions of the Moser-Trudinger inequality and a min-max
scheme, we prove existence of solutions in cases with lack of coercivity.
Full details and further references can be found in the forthcoming
paper [17].
Type: Articolo2009-01-01T00:00:00ZA Deformed Bargmann Transform by an SU(2) Matrix Parameter
http://www.openstarts.units.it:80/dspace/handle/10077/4010
Title: A Deformed Bargmann Transform by an SU(2) Matrix Parameter
Authors: Ghanmi, Allal; Mouayn, Zouhaïr
Abstract: The Laguerre 2D polynomials depending on an arbitrary
matrix Q in SU(2) as a fixed parameter are used to construct a set of
coherent states. The corresponding coherent state transforms constitute
a deformation by matrix Q of a generalized Bargmann transform.
Type: Articolo2009-01-01T00:00:00ZInvariants of Moduli Spaces and Modular Forms
http://www.openstarts.units.it:80/dspace/handle/10077/4009
Title: Invariants of Moduli Spaces and Modular Forms
Authors: Göttsche, Lothar
Abstract: Generating functions for invariants of moduli spaces in algebraic geometry of are often related to modular forms. In this paper
we give an overview of many instances of this phenomenon and in some
cases relate it to predictions from theoretical physics. In this paper we
only consider moduli spaces of objects on surfaces. The examples include
Euler numbers of moduli spaces of sheaves on surfaces, Donaldson
invariants, and enumerative invariants of curves on surfaces.
Type: Articolo2009-01-01T00:00:00ZPeriod Two implies Chaos for a Class of ODEs: a Dynamical System Approach
http://www.openstarts.units.it:80/dspace/handle/10077/4008
Title: Period Two implies Chaos for a Class of ODEs: a Dynamical System Approach
Authors: Pireddu, Marina
Abstract: The aim of this note is to set in the field of dynamical systems
a recent theorem by Obersnel and Omari in [19] about the presence
of subharmonic solutions of all orders for a class of scalar time-periodic
first order differential equations without uniqueness, provided a subharmonic
solution (for instance, of order two) does exist. Indeed, making
use of the Bebutov flow, we try to clarify in what sense the term “chaos”
has to be understood and which dynamical features can be inferred for
the system under analysis.
Type: Articolo2009-01-01T00:00:00Z