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L^p-boundedness of wave operators for three dimensional Schrödinger operators with point interactions

Abstract: We show that wave operators for three dimensional Schroedinger operators with point interactions are bounded in LpLp for 1<p<31<p<3 but not for p=1p=1 or p≥3p≥3. This is a joint ...

Cell fate specification: global vs local control rules, i.e., instructive vs permissive models

Abstract: The process of lineage specification is fundamental to the development and maintenance of tissues in multicellular organisms. An unsolved question is whether molecular cues such as growth fa...

Prescrivere la curvatura gaussiana su superfici singolari

In questo seminario considereremo il problema di prescrivere la curvatura gaussiana su superfici con singolarità coniche, che è una generalizzazione del problema di Kazdan-Warner per superfici regolar...

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...