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This paper studies a precise link between two ways of making random two-dimensional surfaces. On one side are discrete planar maps built by
A team of mathematicians proves that, under a standard physical energy condition, the total energy of a space-like slice of spacetime is at
This paper derives two simple one‑space, one‑time (1+1)D systems from the three‑dimensional axisymmetric incompressible Euler equations and
This paper develops a way to bring shock waves—sharp, moving jumps in density, velocity and other fields—into Hamilton’s principle. Hamilton
This paper shows that a standard large‑deviation upper bound that holds on compact sets can fail on some closed sets in entropic optimal tra
This paper tackles the problem of building a spatial correlation map for multi-antenna wireless systems from a small number of measurements.
This paper shows how to extend Hamilton’s principle — a basic variational rule used to derive fluid equations — so it can handle shock waves
This paper studies a class of minimax (saddle‑point) problems of the form max_{c in C} min_{β in S} g(c;β). The authors focus on the special
This paper shows that a natural notion of total energy for spacetime initial data is positive when the space dimension n is at least four. T
Researchers introduce a new geometric framework that rewrites the motion of relativistic particles so it can include dissipative effects suc