An interesting fact in nature is that if we observe agents (neurons, particles, animals, humans) behaving,or more precisely moving, inside their environment, we can recognize – tough at different space or time scales – very specific patterns. The existence of those patterns is quite obvious, since not all things in...
continua
Adams’inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic and biharmonic problems involving...
continua
Clustering or cluster analysis [5] is a method in unsupervised learning and one of the most used techniques in statistical data analysis. Clustering has a wide range of applications in many areas like pattern recognition, medical diagnostics, datamining, biology, market research and image analysis among others. A cluster is a set of...
continua
In this thesis, we study the dynamics of an elastic body whose shape and position evolve due to the gravitational forces exerted by a point-like planet whose position is fixed in the space. The first result of the thesis is that, if any internal deformation of the body dissipates some energy, then the dynamics of the system has only...
continua
NON-OVERLAPPING DOMAIN DECOMPOSITION METHODS FOR THREE-DIMENSIONAL CARDIAC REACTION-DIFFUSION MODELS AND APPLICATIONS.
Recent advances in biotechnology and the availability of ever more powerful computers have led to the formulation of increasingly complex models at all levels of life sciences, in particular of cardiac...
continua
Duality results and applications to Finance
Quasiconvex analysis has important applications in several optimization problems in science, economics and in finance, where convexity may be lost due to absence of global risk aversion, as for example in Prospect Theory [57].
Our interest in quasiconvex analysis was triggered by the...
continua
ON SOME AXIOMATIC EXTENSIONS OF THE MONOIDAL T-NORM BASED LOGIC MTL: AN ANALYSIS IN THE PROPOSITIONAL AND IN THE FIRST-ORDER CASE.
The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have “intermediate” truth-values, between 0 and 1 (which in...
continua
STOCHASTIC METHODS IN CANCER RESERCH. APPLICATIONS TO GENOMICS AND ANGIOGENESIS.
In this thesis, I study three stochastic methods that can be applied for the analysis of data in cancer research and, in particular, to cancer genomic data and to images of angiogenic processes. Cancer is a multistep process where the accumulation of...
continua
NEURONAL ENSEMBLE MODELING AND ANALYSIS WITH VARIABLE ORDER MARKOV MODELS.
Neuronal cells (neurons) mainly transmit signals by action potentials or spikes. Neuronal electrical activity is recorded from experimental animals by microelectrodes placed in specific brain areas. These electrochemical fast phenomena occur as all-or-none...
continua
—————————————————————-
DATI BIBLIOGRAFICI
Vai al carrello
Author: Chiara GUARDASONI
Series: Mathematical sciences
Format: Paperback: 132 pages (also pdf edition available)
Published in: September...
continua
