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We give a birational morphism between two types of genus 2 Jacobians in ℙ15. One of them is related to an Algebraic Completely Integrable System: the Geodesic Flow on SO(4), metric II (so termed after Adler and van Moe...

When solving, modeling or reasoning about complex problems, it is usually convenient to use the knowledge of a parallel physical system for representing it. This is the case of lumped-circuit abstraction, which can be us...

Wave-based signal processing has witnessed a significant expansion of interest in a variety of science and engineering disciplines, as it provides new opportunities for achieving high-speed and low-power operations. Alth...

The Hubbard model has occupied the minds of condensed matter physicists for most part of the last century. This model provides insight into a range of phenomena in correlated electron systems. We wish to examine the para...

We consider the system of one-sided reflected Brownian motions that is in variational duality with Brownian last passage percolation. We show that it has integrable transition probabilities, expressed in terms of Hermite...

Subjects / keywords: applied mathematics, integrable systems, asymptotics, numerical analysis, scientific computing, mathematics and physics; Science: Mathematics

Subjects / keywords: mathematical physics, differential geometry, integrable systems, lie groups and algebras, representation theory, special functions; Science: Mathematics