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BIOGRAPHY

RESEARCH

GROUP AND ALUMNI

CONTACT

BIOGRAPHY

RESEARCH

- MULTILAYER NETWORKS
- NETWORK GEOMETRY
- TEMPORAL NETWORKS
- NETWORK CONTROL
- BIANCONI-BARABASI MODEL
- CONDENSATION TRANSITIONS
- CRITICAL PHENOMENA ON NETWORKS
- SUBGRAPHS: LOOPS AND CLIQUES
- ENTROPIES OF NETWORK ENSEMBLES
- ENTROPIES FOR INFERENCE PROBLEMS
- BIOLOGICAL NETWORKS

GROUP AND ALUMNI

CONTACT

I work in statistical mechanics and network theory and I enjoy combining statistical mechanics with
graph theory, topology, and other mathematical subjects to study the network complexity.

The field has a rich interdisciplinary character since complex networks describe the interactions of a large variety of complex systems, from the Internet to the brain, the climate and social networks.

My main focus in on the theory of networks, but am also very interested in applications ranging from biological networksto social networks.

In am expert in network modelling and for this I use both equilibrium and non-equilibrium statistical mechanics approaches.

I am widely known for the BIANCONI-BARABASI MODEL and the discovery of the BOSE-EINSTEIN CONDENSATION IN NETWORKS.

Recently I extended these results investigating SIMPLICIAL MODELS FOR EMERGENT GEOMETRY.

I also was the first, together with K. Anand, to formulate the statistical mechanics of networks distinguishing between MICROCANONICAL AND CANONICAL ENSEMBLES and revealing their NON-EQUIVALENCE.

I am also an expert in CRITICAL CLASSICAL AND QUANTUM PHENOMENA ON NETWORKS, in particular focusing on percolation and the Ising model on single and on multilayer networks.

Currently my research focuses on generalized network structures including multilayer and higher-order networks (simplicial complexes).

I wrote two single author books on multilayer and higher-order networks.

One highlight and focus on my current research activity is the discovery of COLLECTIVE PHENOMENA OF TOPOLOGICAL SIGNALS.

This is an exiting new area which combines non-linear dynamics, topology and network theory that can be transformative of our way to understand complex system dynamics.

Other areas in my research include:

SUBGRAPHS: LOOPS AND CLIQUES IN NETWORK MODELS

NETWORK ENTROPY

INFERENCE PROBLEMS IN NETWORKS

BIOLOGICAL NETWORKS AND NEUROSCIENCE

The field has a rich interdisciplinary character since complex networks describe the interactions of a large variety of complex systems, from the Internet to the brain, the climate and social networks.

My main focus in on the theory of networks, but am also very interested in applications ranging from biological networksto social networks.

In am expert in network modelling and for this I use both equilibrium and non-equilibrium statistical mechanics approaches.

I am widely known for the BIANCONI-BARABASI MODEL and the discovery of the BOSE-EINSTEIN CONDENSATION IN NETWORKS.

Recently I extended these results investigating SIMPLICIAL MODELS FOR EMERGENT GEOMETRY.

I also was the first, together with K. Anand, to formulate the statistical mechanics of networks distinguishing between MICROCANONICAL AND CANONICAL ENSEMBLES and revealing their NON-EQUIVALENCE.

I am also an expert in CRITICAL CLASSICAL AND QUANTUM PHENOMENA ON NETWORKS, in particular focusing on percolation and the Ising model on single and on multilayer networks.

Currently my research focuses on generalized network structures including multilayer and higher-order networks (simplicial complexes).

I wrote two single author books on multilayer and higher-order networks.

One highlight and focus on my current research activity is the discovery of COLLECTIVE PHENOMENA OF TOPOLOGICAL SIGNALS.

This is an exiting new area which combines non-linear dynamics, topology and network theory that can be transformative of our way to understand complex system dynamics.

Other areas in my research include:

SUBGRAPHS: LOOPS AND CLIQUES IN NETWORK MODELS

NETWORK ENTROPY

INFERENCE PROBLEMS IN NETWORKS

BIOLOGICAL NETWORKS AND NEUROSCIENCE