In this paper, I prove the existence of an eigenform for suitable weights, on a class of fractals including many of the finitely ramified fractals usually considered, with no symmetry assumptions and with an arbitrary number of vertices
AbstractA method for the computation of eigenfrequencies and eigenmodes of fractal drums is presente...
AbstractThe construction of diffusions on finitely ramified fractals is straightforward if a certain...
This thesis presents an example of known discretization methods for spectral problems in partial die...
In this paper, I prove the existence of an eigenform for suitable weights, on a class of fractals in...
An important problem in analysis on fractals is the existence and the determination of an eigenform ...
In this paper, I prove that on every fractal structure with three vertices, for suitable weights, th...
I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenfo...
A self-similar energy on finitely ramified fractals can be constructed starting from an eigenform, i...
An example of a p.c.f. (post-critically finite) self-similar set without eigenform for any set of we...
It is well known that a Dirichlet form on a fractal structure can be defined as the limit of an incr...
In the late 1990's, R. Coleman and R. Greenberg (independently) asked for a global property characte...
AbstractA method for the computation of eigenfrequencies and eigenmodes of fractal drums is presente...
AbstractThe construction of diffusions on finitely ramified fractals is straightforward if a certain...
This thesis presents an example of known discretization methods for spectral problems in partial die...
In this paper, I prove the existence of an eigenform for suitable weights, on a class of fractals in...
An important problem in analysis on fractals is the existence and the determination of an eigenform ...
In this paper, I prove that on every fractal structure with three vertices, for suitable weights, th...
I give an explicitly verifiable necessary and sufficient condition for the uniqueness of the eigenfo...
A self-similar energy on finitely ramified fractals can be constructed starting from an eigenform, i...
An example of a p.c.f. (post-critically finite) self-similar set without eigenform for any set of we...
It is well known that a Dirichlet form on a fractal structure can be defined as the limit of an incr...
In the late 1990's, R. Coleman and R. Greenberg (independently) asked for a global property characte...
AbstractA method for the computation of eigenfrequencies and eigenmodes of fractal drums is presente...
AbstractThe construction of diffusions on finitely ramified fractals is straightforward if a certain...
This thesis presents an example of known discretization methods for spectral problems in partial die...