Cluster algebras and scattering diagrams appear in diverse areas of mathematics and physics including total positivity, Seiberg duality, statistical physics models, noncommutative geometry, tropical ...

Description The Rutherford scattering experiment (gold foil experiment) revealed that the atom is mostly empty space with a small, dense, positively charged nucleus at its center. This was a ...

The theme of this monograph is the relation between cluster algebras and scattering diagrams. Cluster algebras were introduced by Fomin and Zelevinsky around 2000 as an algebraic and combinatorial ...

Features of the formation of multilobe bistatic scattering diagrams of a cross-polarized field in the front half-space in an azimuthal plane of a semi cylindrical checkerboard 1-bit anisotropic ...

An attempt to represent Pose's data on the collision of α-particles and protons by a schematic nuclear model has led to results which are consistent with other information concerning the position of ...

Figure 1 (a) Schematic diagram of the time-domain characteristics of fiber Rayleigh scattering restoration based on a deep learning model. (b) In the frequency domain, different network parameter ...

We extend the notion of y-variables (coefficients) in cluster algebras to cluster scattering diagrams (CSDs). Accordingly, we extend the dilogarithm identity associated with a period in a cluster ...

In many photonic systems, back-scattering is a major unwanted effect and significantly blocks the overall performance of the systems for decades. The Topological photonic system emerges with exciting ...