Scuola Internazionale Superiore di Studi Avanzati

Modular Transformations of Tau Functions and Conformal Blocks on the Torus

Abstract The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants decompositions of the torus. In this paper, we study the modular transformations of the tau f...

A three-dimensional morphoelastic model for self-oscillations in polyelectrolyte hydrogel filaments

Abstract We introduce a three-dimensional model for polyelectrolyte hydrogel filaments operating in a fluid environment under an electric field. The formulation builds on a morphoelastic framework for inextensible and unshearable rods, such that the filament’s activity is encoded...

Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems

Abstract We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving frequencies, we prove that the system remains in a prethermal state for times growing polynom...

A quality measure for repeating multiple-unit spike patterns

We propose a quality measure for spatio-temporal spike patterns (STPs) in multiple-neuron recordings. In such recordings, repeating STPs or pattern repetitions (PRs) are often found, with many of these generated by chance. To rule those out, statistical tests have been developed...

Neuropeptide Y—Graphene Oxide Complexes Inhibit Amygdala NPY‐Receptor Expressing Glutamatergic Pathways and Selectively Remove Aversive Memory In Vivo

Therapeutic needs to modulate brain circuits highlight graphene-based materials (GBMs) as an emerging tool to engineer specific interventions to treat neuro-diseases. In this context, graphene oxide (GO) nanosheets offer new drug delivery strategies to reach neural cells and sign...