Thurston’s geometrization theorem, proved by Perelman, is a major accomplishment in geometry and topology as it solved the long standing Poincaré conjecture. This theorem states that any reasonable th...
With the advent of modern numerical simulation tools, virtual human twins are becoming a widely used tool in biomedical research, making it possible to study complex physiological processes in a safe ...
We consider a variant of the Hofstadter Q sequence, that we call a "dilute Hofstadter Q sequence", where only one nested term is retained while the other one is replaced with a given sequence f(n). We...
A variety is called rational if it contains a Zariski open subset isomorphic to an open subset of projective space. Determining whether a given smooth projective variety is not rational is often a com...
We introduce the abstract Deferred Correction framework and show how it can be used to design schemes of arbitrarily high order for ordinary differential equations....
La percolazione è uno dei modelli probabilistici più semplici ma allo stesso tempo fondamentale per studiare la formazione di strutture casuali su grafi o reticoli. In questo modello ogni vertice o ar...
I will give a gentle introduction with several examples to the following topic: Yau-Tian-Donaldson conjecture states that a polarised manifold $(X,L)$ admits a cscK metric in $c_1(L)$ if and only if $...
This talk is devoted to semilinear parabolic equations on infinite weighted combinatorial graphs. We will address finite-time blow-up phenomena, considering both arbitrary initial data and sufficientl...
We consider the Erdős-Rényi graph G in its critical regime when its expected degree d scales like the logarithm of its number of vertices. On this critical scale, G undergoes a connectivity transitio...
In this talk, I will present a new bound for solutions to the Poisson problem associated with the weighted one-Laplacian. The Aleksandrov–Bakelman–Pucci (ABP) estimate has long been a fundamental tool...
We investigate geometric and dynamical aspects of hyperbolic lattices arising from regular tilings with 1/p+1/q<1/2. We first characterize finite shapes with minimal perimeter and show that the rat...
The spectral heat content (SHC) measures the total heat contained in a bounded domain at a given time when the initial temperature inside the domain is set to be one, and the temperature outside the d...
