Molecular representations are of fundamental importance for the modeling and analysing
molecular systems. The successes in drug design and materials discovery have been …

Protein–protein interactions (PPIs) play a significant role in nearly all cellular and biological
activities. Data-driven machine learning models have demonstrated great power in PPIs …

Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

Topological data analysis (TDA) has made significant progress in developing a new class of
fundamental operators known as the Dirac operator, particularly in topological signals and …

The pseudo-determinant Det (A) of a square matrix A is defined as the product of the
nonzero eigenvalues of A. It is a basis-independent number which is up to a sign the first …

We study the holographic dual of the simplest notion of spin in a p-adic field theory, namely
Green's functions which involve non-trivial sign characters over the p-adic numbers. In order …

The study of matter fields on an ensemble of random geometries is a difficult problem still in
need of new methods and ideas. We will follow a point of view inspired by probability theory …

The sphere formula states that in an arbitrary finite abstract simplicial complex, the sum of
the Euler characteristic of unit spheres centered at even-dimensional simplices is equal to …

We construct a Cartesian product G x H for finite simple graphs. It satisfies the Kuenneth
formula: H^ k (G x H) is a direct sum of tensor products H^ i (G) x H^ j (G) with i+ j= k and so p …

The spectrum of the Laplacian of successive Barycentric subdivisions of a graph converges
exponentially fast to a limit which only depends on the clique number of the initial graph and …