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The Ising model on random graphs

Abstract: Random graphs are useful models for complex networks appearing in empirical studies of networks. Several structural properties have been identified in this context, including scale-free and ...

From diffusion to fractional superdiffusion in a Hamiltonian lattice field model with noise

Abstract: We consider a Hamiltonian lattice field model perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the soluti...

More random walks on random walks

We consider a Poissonian distribution of particles performing independent simple random walks. Simultaneously, on top of this system, a random walker evolves with a drift to the right when it is on to...

Decisioni collettive: dove osano gli sciami

La capacità che hanno gli sciami di scegliere collettivamente la migliore opzione tra una serie di alternative è notevole. In particolare, precedenti studi sulla selezione del sito di nidificazione de...

Multidimensional reflected random walk - some results and many questions

Let (Y_n,V_n) be i.i.d. distributed, with the components r and s-dimensional, respectively. Reflected random walk starting at a point x of the positive r-dimensional orthant is defined recursively b...

Analysis of time operators

Abstract: The time operator is informally defined as a symmetric operator satisfying CCR with a given self-adjoint operator H, i.e. [H,T]=i[H,T]=i. However it is nontrivial to construct T associated w...

Grandi deviazioni rispetto al moto per curvatura media

Si consideri l'equazione di Allen-Cahn in dimensione d=2 o d=3. Effettuando un riscalamento diffusivo, per dati iniziali opportuni, la dinamica limite dell'interfaccia tra le due fasi stabili e' descr...

On a Problem of Kendall

Abstract: In this talk we consider a stochastic point process $i + \xi_i$, where $i\in \mathbb{N}$ and the $\xi_i's$ are i.i.d exponential random variables with standard deviation $\sigma$. Some prope...

Nonlinear PDEs arising in photometric 3D-reconstruction: why they are unavoidable and how to handle them

Photometric 3D-reconstruction techniques aim at inferring the 3D geometry of a scene, given one or several 2D images of this scene. They do so by analyzing the luminous quantities in the images. A phy...